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| -rw-r--r-- | Master/texmf-dist/doc/latex/mandi/README | 11 | ||||
| -rw-r--r-- | Master/texmf-dist/doc/latex/mandi/mandi.pdf | bin | 924550 -> 1023509 bytes | |||
| -rw-r--r-- | Master/texmf-dist/source/latex/mandi/mandi.dtx | 9472 | ||||
| -rw-r--r-- | Master/texmf-dist/source/latex/mandi/mandi.ins | 20 | ||||
| -rw-r--r-- | Master/texmf-dist/tex/latex/mandi/mandi.sty | 606 |
5 files changed, 5233 insertions, 4876 deletions
diff --git a/Master/texmf-dist/doc/latex/mandi/README b/Master/texmf-dist/doc/latex/mandi/README index eaa43321f25..38d7260a6c5 100644 --- a/Master/texmf-dist/doc/latex/mandi/README +++ b/Master/texmf-dist/doc/latex/mandi/README @@ -1,10 +1,9 @@ The mandi package provides commands for typesetting symbols, expressions, and quantities used in introductory physics and astronomy. Many of the commands are inspired by Matter & Interactions by Ruth Chabay and Bruce Sherwood. Many of -the astronomical commands were inspired by my own classroom needs. It must be -understood that mandi does not do any computations! It only provides commands -for typesetting. +the astronomical commands were inspired by my own classroom needs. This package +does not do computations. It only provides commands for typesetting. -Run the file mandi.dtx through (pdf)LaTeX to generate README (this file), -mandi.ins, mandi.sty, vdemo.py, and mandi.pdf (user documentation). I assume -a TeXLive2011 or later distribution is installed. +Run the file mandi.dtx through (pdf)LaTeX to generate mandi.ins, mandi.sty, +vdemo.py, and mandi.pdf (user documentation). I assume a TeX Live 2011 or later +distribution is installed. diff --git a/Master/texmf-dist/doc/latex/mandi/mandi.pdf b/Master/texmf-dist/doc/latex/mandi/mandi.pdf Binary files differindex 85590a4e470..276aff2d811 100644 --- a/Master/texmf-dist/doc/latex/mandi/mandi.pdf +++ b/Master/texmf-dist/doc/latex/mandi/mandi.pdf diff --git a/Master/texmf-dist/source/latex/mandi/mandi.dtx b/Master/texmf-dist/source/latex/mandi/mandi.dtx index 564715327bd..d0ed7d89330 100644 --- a/Master/texmf-dist/source/latex/mandi/mandi.dtx +++ b/Master/texmf-dist/source/latex/mandi/mandi.dtx @@ -1,7 +1,7 @@ % \iffalse meta-comment % !TEX TS-program = dtxmk % -% Copyright (C) 2011,2012 by Paul J. Heafner <heafnerj@gmail.com> +% Copyright (C) 2011, 2012, 2013 by Paul J. Heafner <heafnerj@gmail.com> % --------------------------------------------------------------------------- % This work may be distributed and/or modified under the conditions of the % LaTeX Project Public License, either version 1.3 of this license or (at @@ -15,9 +15,9 @@ % The Current Maintainer of this work is Paul J. Heafner. % % This work consists of the files mandi.dtx +% README % -% and includes the derived files README -% mandi.ins +% and includes the derived files mandi.ins % mandi.sty % vdemo.py and % mandi.pdf. @@ -32,7 +32,7 @@ %</internal> % %<*package> -\ProvidesPackage{mandi}[2013/04/10 2.1.0 Macros for intro physics and astronomy] +\ProvidesPackage{mandi}[2013/06/14 2.2.0 Macros for physics and astronomy] \NeedsTeXFormat{LaTeX2e}[1999/12/01] %</package> % @@ -76,7 +76,7 @@ while 1: \usedir{tex/latex/mandi} \preamble -Copyright (C) 2011,2012 by Paul J. Heafner <heafnerj@gmail.com> +Copyright (C) 2011, 2012, 2013 by Paul J. Heafner <heafnerj@gmail.com> --------------------------------------------------------------------------- This work may be distributed and/or modified under the conditions of the LaTeX Project Public License, either version 1.3 of this license or (at @@ -90,12 +90,12 @@ This work has the LPPL maintenance status `maintained'. The Current Maintainer of this work is Paul J. Heafner. This work consists of the files mandi.dtx + README -and includes the derived files README - mandi.ins +and includes the derived files mandi.ins mandi.sty - mandi.pdf and - vdemo.py. + vdemo.py and + mandi.pdf. --------------------------------------------------------------------------- \endpreamble @@ -137,40 +137,34 @@ and includes the derived files README %</driver> % %<*driver> -\documentclass{ltxdoc} -\usepackage{\jobname} -\usepackage{array} -\usepackage[textwidth=1.0cm]{todonotes} -\setlength{\marginparwidth}{1.0in} % proper placement of todonotes in left margin -\usepackage{rotating} -\usepackage{listings} -\usepackage{microtype} -%\usepackage[noprint]{dox} -\usepackage{hypdoc} -\usepackage[left=1.75in,right=0.5in]{geometry} -\usepackage[listings]{tcolorbox} -\EnableCrossrefs -\PageIndex -\RecordChanges -\parindent 0.0mm -%\OnlyDescription % only print user documentation +\documentclass[10pt]{ltxdoc} +\setlength{\marginparwidth}{0.50in} % placement of todonotes +\usepackage[italicvectors]{\jobname} % load mandi +\usepackage[textwidth=1.0cm]{todonotes} % allow for todonotes +\usepackage[left=0.75in,right=1.00in]{geometry} % main documentation +\usepackage{array,rotating,microtype} % accessory packages +\usepackage[listings,documentation]{tcolorbox} % workhorse package +\tcbset{index german settings} % set index options \newcommandx{\ntodo}[2][1,usedefault]{% \ifthenelse{\equal{#1}{}} - {\todo[size=\footnotesize,fancyline,caption={#2},color=yellow!40]{\begin{sideways} - #2\end{sideways}}} - {\todo[size=\footnotesize,fancyline,caption={#1},color=yellow!40]{\begin{sideways} - #2\end{sideways}}}} -\tcbset{enlarge left by=1cm, enlarge right by=2cm,enlarge top by=-3mm, - enlarge bottom by=3mm,width=\linewidth-2cm} -\tcbset{coltitle=blue!50!black,colframe=blue!25,colback=blue!15} + {\todo[size=\footnotesize,fancyline,caption={#2},color=yellow!40] + {\begin{sideways}#2\end{sideways}}} + {\todo[size=\footnotesize,fancyline,caption={#1},color=yellow!40] + {\begin{sideways}#2\end{sideways}}}} +\DisableCrossrefs % index descriptions only +\PageIndex % index contains page numbers +\CodelineNumbered % number source lines +\RecordChanges % record changes +\everymath{\displaystyle} % default math style %\DeclareMathSizes{10}{18}{12}{8} %\DeclareMathSizes{11}{19}{13}{9} %\DeclareMathSizes{12}{20}{14}{10} -\everymath{\displaystyle} -\begin{document} +\begin{document} % main document \DocInput{\jobname.dtx} + \newgeometry{left=1.00in,right=1.00in,top=1.00in,bottom=1.00in} \PrintIndex -\end{document} + \restoregeometry +\end{document} % end main document %</driver> % \fi % @@ -183,12 +177,12 @@ and includes the derived files README % \newcommand{\drvdunits}{\textit{drvdunits}} % \newcommand{\tradunits}{\textit{tradunits}} % -% \IndexPrologue{\section{Index}Numbers written in italic refer to the page/codeline -% where the corresponding entry is described; numbers/codelines -% underlined refer to the definition; numbers in roman refer to the -% pages/codelines where the entry is used.} +% \IndexPrologue{\section{Index}Page numbers refer to page where the +% corresponding entry is described. Not every command defined in the +% package is indexed. There may be commands similar to indexed commands +% described in relevant parts of the documentation.} % -% \CheckSum{4843} +% \CheckSum{5396} % % \CharacterTable % {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z @@ -206,86 +200,43 @@ and includes the derived files README % Grave accent \` Left brace \{ Vertical bar \| % Right brace \} Tilde \~} % -% \DoNotIndex{\,,\!,\;,\\,\{,\},\(,\),\[, -% \active,\advance,\AtBeginOfPackageFile,\baselineskip,\begin,\begingroup,\Big,\Bigg, -% \boolean,\bullet,\boldsymbol,\BODY,\box,\cancelto,\caption,\catcode,\cbcolor,\cbend, -% \cbstart,\centerline,\color,\changebarsep,\changebarwidth,\char,\clist,\cr,\cs, -% \csname,\csundef,\circ,\cdot, -% \DeclareFontShape,\DeclareGraphicsRule,\DeclareMathAlphabet,\DeclareMathOperator, -% \DeclareOption,\def,\definecolor,\dimen,\displaystyle,\dp,\else,\end,\endcsname, -% \endgroup,\ensuremath,\equal,\ExecuteOptions,\expandafter,\ExplSyntaxOff, -% \ExplSyntaxOn,\fbox,\fcolorbox,\fi,\frac,\global,\halign,\hat,\hbox,\hfil,\hfill, -% \hline,\hspace,\ht,\iffalse,\ifnum,\ifthenelse,\IfValueT,\ifx,\includegraphics,\l, -% \label,\langle,\left,\let,\LetLtxMacro,\linewidth,\long,\lower,\lstinline, -% \lstinputlisting,\lstnewenvironment,\lstset,\lVert,\lvert,\mathbf,\mathcal, -% \mathchardef,\mathcode,\mathpzc,\mathrel,\mathrm,\mbox,\meaning,\mdfdefinestyle, -% \mi,\mskip,\newboolean,\newcommand,\newcommandx,\newcount,\NewDocumentCommand, -% \NewEnviron,\newenvironment,\newenvironmentx,\noalign,\noexpand,\nolimits,\odot, -% \offinterlineskip,\parbox,\partial,\phantom,\ProcessOptions,\protect,\rangle,\relax, -% \renewcommand,\right,\romannumeral,\RequirePackage,\rVert,\rvert,\scriptstyle, -% \seq,\setboolean,\setbox,\setcounter,\setlength,\skipper,\smart,\space,\string, -% \sqrt,\stackrel,\sum,\text,\textbf,\textfont,\textheight,\textsf,\texttt,\textwidth, -% \the,\tiny,\tl,\typeout,\upshape,\usetikzlibrary,\usebox,\vcenter,\vector,\vrule, -% \vskip,\vspace,\widehat,\WithSuffix,\xdef,\xLongleftarrow,\xLongleftrightarrow, -% \xLongrightarrow,\xrightarrow,\xspace} -% -% \DoNotIndex{\activity@fbox,\@eolst,\@firstofone,\@firstoftwo,\Mathstrutbox@,\mi@delim, -% \mi@exchangeargs,\mi@forkifnull,\mi@innername,\mi@name,\mi@vector,\oldr@@t,\rc@delim, -% \rc@vector,\response@fbox,\resetMathstrut@,\r@@t,\@tempa,\@tempb,\@tempboxa, -% \@secondoftwo,\z@,\@ifpackageloaded} -% -% \DoNotIndex{\selectbaseunit,\selectdrvdunit,\selecttradunit,\selectunit, -% \redefinephysicsquantity,\redefinephysicsconstant,\definephysicsquantity, -% \definephysicsconstant,\innerdefinewhatsoeverquantity, -% \innerdefinewhatsoeverquantityfork,\chkphysicsquantity} -% -% \DoNotIndex{\alpha,\beta,\chi,\delta,\Delta,\epsilon,\eta,\gamma,\Gamma,\iota,\kappa, -% \lambda,\Lambda,\mu,\nu,\omega,\Omega,\phi,\Phi,\pi,\Pi,\psi,\Psi,\rho,\sigma,\Sigma, -% \tau,\theta,\Theta,\upsilon,\Upsilon,\varepsilon,\varphi,\varpi,\varrho,\varsigma, -% \vartheta\xi,\Xi,\zeta} -% -% \DoNotIndex{\approx,\bigint,\bigoint,\cos,\cosh,\cot,\coth,\csc,\csch,\ell,\hbar,\int, -% \ldots,\ln,\log,\mathcalligra,\nabla,\oint,\oldsqrt,\prime,\pm,\sec,\sech,\sin,\sinh, -% \sqrt,\star,\tan,\tanh,\times,\vec} -% -% \DoNotIndex{\ampere,\arcminute,\arcsecond,\atomicmassunit,\candela,\coulomb, -% \degree,\electronvolt,\farad,\henry,\hertz,\hour,\joule,\kelvin,\kilogram, -% \metre,\minute,\mole,\newton,\ohm,\pascal,\per,\radian,\second,\siemens, -% \steradian,\tesla,\unit,\usk,\volt,\watt,\weber} -% -% \DoNotIndex{\C,\F,\H,\J,\N,\rad,\S,\T,\V,\W} -% -% \DoNotIndex{\square,\cubic,\quartic,\reciprocal,\reciprocalsquare,\reciprocalcubic, -% \reciprocalquartic,\squared,\cubed,\quarted,\reciprocaled,\reciprocalsquared, -% \reciprocalcubed,\reciprocalquarted} -% % \providecommand*{\url}{\texttt} % \GetFileInfo{\jobname.sty} % \title{The \textsf{mandi} package} -% \author{Paul J. Heafner \\ -% \href{mailto:heafnerj@gmail.com?subject=[Heafner]\%20mandi} -% {\nolinkurl{heafnerj@gmail.com}}} +% \author{Paul J. Heafner +% (\href{mailto:heafnerj@gmail.com?subject=[Heafner]\%20mandi} +% {\nolinkurl{heafnerj@gmail.com}})} % \date{Version \fileversion~dated \filedate} % -% \maketitle +% \newgeometry{left=1.0in,right=1.0in,top=4.0in} +% \maketitle +% \restoregeometry % % ^^A \centerline{\textbf{PLEASE DO NOT DISTRIBUTE THIS VERSION.}} % % \changes{v2.0.0}{\today}{First public release} % \changes{v2.1.0}{\today}{No longer needs \pkgname{SIunits}. It's deprecated} % \changes{v2.1.0}{\today}{Coexists with \pkgname{siunitx}.} -% \changes{v2.1.0}{\today}{Coexists with \pkgname{physymb}. Load \pkgname{physymb} -% before \pkgname{mandi}.} +% \changes{v2.1.0}{\today}{Coexists with \pkgname{physymb}. +% Load \pkgname{physymb} before \pkgname{mandi}.} % \changes{v2.1.0}{\today}{Added more predefined quantities.} % \changes{v2.1.0}{\today}{Improved vector operators.} +% \changes{v2.2.0}{\today}{Completely reformatted documentation.} +% \changes{v2.2.0}{\today}{Many new physical quantities and constants.} +% \changes{v2.2.0}{\today}{Physical constants are given to three or four +% decimal places.} +% \changes{v2.2.0}{\today}{New commands, some deprecated in favor of +% \pkgname{mivector}.} % -% \tableofcontents -% \newpage -% \PrintChanges -% \addcontentsline{toc}{section}{Change History} -% \addcontentsline{toc}{section}{Possible Future Enhancements} -% \listoftodos[Possible Future Enhancements] -% \newpage +% \newgeometry{left=1.0in,right=1.0in,top=1.0in,bottom=1.0in} +% \tableofcontents +% \newpage +% \PrintChanges +% \addcontentsline{toc}{section}{Change History} +% \addcontentsline{toc}{section}{Possible Future Enhancements} +% \listoftodos[Possible Future Enhancements] +% \newpage +% \restoregeometry % % \section{Introduction} % This package provides a collection of commands useful in introductory physics @@ -302,16 +253,16 @@ and includes the derived files README % tightly tied to that textbook but can be used for typesetting any document that % requires consistent physics notation. With \mandi\ many complicated expressions % can be typeset with just a single command. Great thought has been given to command -% names and I hope users find the conventions logical and easy to remember.\medskip +% names and I hope users find the conventions logical and easy to remember. % % There are other underlying philosophies and goals embedded within \mandi, all of % which are summarized here. They are % \begin{itemize} % \item to employ a \textit{type what you think} model for remembering commands % \item to relieve the user of having to explicitly worry about typesetting SI units -% \item to enforce certain concepts that are too frequently merged, which causes -% confusion, such as the distinction between a vector quantity and its magnitude -% (e.g.\ we often use the same name for both) +% \item to enforce certain concepts that are too frequently merged, such as the +% distinction between a vector quantity and its magnitude (e.g.\ we often use the +% same name for both) % \item to enforce consistent terminology in the naming of quantities, with names % that are both meaningful to introductory students and accurate % (e.g.\ \textit{duration} vs.\ \textit{time}) @@ -328,17 +279,12 @@ and includes the derived files README % % \newpage % \section{Loading the Package} -% To load the \mandi\ package, simply put the line \medskip -% -% |\usepackage{mandi}| \medskip -% -% \noindent in your document's preamble to load \mandi\ with its default -% options. To use the package's available options, write \medskip -% -% |\usepackage|\textbf{[}\opt{options}\textbf{]}|{mandi}| \medskip +% To load \mandi\ with its default options, simply put the line |\usepackage{mandi}| +% in your document's preamble. To use the package's available options, put the line +% |\usepackage|\textbf{[}\opt{options}\textbf{]}|{mandi}| in your document's preamble. +% There are five available options, with one option being based on the absence of +% two of the others. The options are described below. % -% There are five available options, with one option being based on the absence of two -% of the others. % \begin{itemize} % \item \opt{italicvectors} gives italic letters for the kernels of vector % names. Otherwise, the letters are in Roman. @@ -366,39 +312,58 @@ and includes the derived files README % temporarily or permanently. % \end{itemize} % -% \newpage +% \mandi\ coexists with the \pkgname{siunitx} package. While there is some +% functional overlap between the two packages, \mandi\ is completely independent of +% \pkgname{siunitx}. +% +% \mandi\ coexists with the \pkgname{physymb} package, with which there are also +% functional overlaps and a few conflicts with identically named commands. If you +% wish to use \pkgname{physymb} and \mandi\ in the same document, be certain to load +% \pkgname{physymb} first. \mandi\ will detect its presence and behave accordingly. +% % \section{Usage} % So what does \mandi\ allow you to do? Suppose you want to typeset a calculation of % a particle's kinetic energy (assume the magnitude of the particle's velocity is much % less than the magnitude of light's velocity). You could use % -% \begin{center} -% |K \approx \frac{1}{2}\left(\unit{2}{\kg}\right)\left(\unit{2}{\m\per\s}\right)^2| -% \end{center} +%\iffalse +%<*example> +%\fi +\begin{dispExample} +\[ K \approx \frac{1}{2}\left(\unit{2}{\kg}\right)\left(\unit{2}{\m\per\s}\right)^2 \] +\end{dispExample} +%\iffalse +%</example> +%\fi % -% but it is more logical and more readable to use +% but \mandi\ lets you do something more logical and more readable, like this % -% \begin{center} -% |K \approx \onehalf (\mass{2})(\velocity{2})^2| -% \end{center} +%\iffalse +%<*example> +%\fi +\begin{dispExample} +\[ K \approx \onehalf (\mass{2})(\velocity{2})^2 \] +\end{dispExample} +%\iffalse +%</example> +%\fi % -% given that they produce the same output. The second way is what \mandi\ lets you do. +% which produces the same output. In the second example, note that the units are abstracted +% so the user need not remember them. % -% \[ K \approx \onehalf (\mass{2})(\velocity{2})^2 \] -% -% The second way is more readable if you come back to the document, perhaps having -% not looked at the source code for a while. Suppose you want to use vectors quantities. -% That's no problem because \mandi\ handles vector quantities. +% The second way is more readable if you come back to the source document, perhaps having +% not looked at it for a while. Suppose you want to use vectors quantities. That's no problem +% because \mandi\ handles vector quantities. % -% \begin{center} -% |Calculate the magnitude of \momentum{\mivector{3,2,5}}.| -% \end{center} -% -% produces -% -% \begin{center} -% Calculate the magnitude of \momentum{\mivector{3,2,5}}. -% \end{center} +%\iffalse +%<*example> +%\fi +\begin{dispExample} +Calculate the magnitude of \momentum{\mivector{3,2,5}}. +\end{dispExample} +%\iffalse +%</example> +%\fi % % The underlying strategy is to \textit{think about how you would say what you want % to write and then write it the way you would say it}. With a few exceptions, this @@ -409,22 +374,21 @@ and includes the derived files README % % If you want to save time in writing out the energy principle, just use % -% \begin{center} -% |\energyprinciple| -% \end{center} -% -% which gives -% -% \[ -% \energyprinciple -% \] +%\iffalse +%<*example> +%\fi +\begin{dispExample} +\energyprinciple +\end{dispExample} +%\iffalse +%</example> +%\fi % -% with fewer keystrokes, and it's easier to remember. +% which, as you can see, takes fewer keystrokes and it's easier to remember. % % This barely scratches the surface in describing \mandi\ so continue reading this % document to see everything this package can do. % -% \newpage % \section{Features and Commands} % \subsection{Autosized Parentheses} % An experimental feature of \mandi\ is autosized parentheses in math mode. This means @@ -432,8 +396,25 @@ and includes the derived files README % size correctly. Note that this only works in math mode, only works for parentheses and % not for other delimiters. % -% To illustrate, |(\oofpezmathsymbol)| gives (\oofpezmathsymbol) but -% |\((\oofpezmathsymbol)\)| gives \((\oofpezmathsymbol)\). +%\iffalse +%<*example> +%\fi +\begin{dispExample} +(\oofpezmathsymbol) is how it looks in text mode. +\end{dispExample} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{dispExample} +\( (\oofpezmathsymbol) \) is how it looks in math mode. +\end{dispExample} +%\iffalse +%</example> +%\fi % % \subsection{SI Base Units} % This is not a tutorial on SI units and the user is assumed to be familiar with SI @@ -444,91 +425,82 @@ and includes the derived files README % it \textit{duration} in most cases), \textit{electric current}, \textit % {thermodynamic temperature}, \textit{amount}, and \textit{luminous intensity}. % These shortcuts are used internally and need not explicitly be invoked by the -% user.\medskip +% user. % -% \DescribeMacro{\m} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=metre or SI unit of spatial displacement (length)} -\m -\end{tcblisting} +\begin{docCommand}{m}{} + Command for metre, the SI unit of spatial displacement (length). +\end{docCommand} %\iffalse %</example> %\fi % -% \DescribeMacro{\kg} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=kilogram or SI unit of mass} -\kg -\end{tcblisting} +\begin{docCommand}{kg}{} + Command for kilogram, the SI unit of mass. +\end{docCommand} %\iffalse %</example> %\fi % -% \DescribeMacro{\s} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=second or SI unit of temporal displacement (duration)} -\s -\end{tcblisting} +\begin{docCommand}{s}{} + Command for second, the SI unit of temporal displacement (duration). +\end{docCommand} %\iffalse %</example> %\fi % -% \DescribeMacro{\A} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=ampere or SI unit of electric current} -\A -\end{tcblisting} +\begin{docCommand}{A}{} + Command for ampere, the SI unit of electric current. +\end{docCommand} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\K} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=kelvin or SI unit of thermodynamic temperature} -\K -\end{tcblisting} +\begin{docCommand}{K}{} +Command for kelvin, the SI unit of thermodynamic temperature. +\end{docCommand} %\iffalse %</example> %\fi % -% \DescribeMacro{\mol} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=mole or SI unit of amount} -\mol -\end{tcblisting} +\begin{docCommand}{mol}{} +Command for mole, the SI unit of amount. +\end{docCommand} %\iffalse %</example> %\fi % -% \DescribeMacro{\cd} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=candela or SI unit of luminous intensity} -\cd -\end{tcblisting} +\begin{docCommand}{cd}{} +Command for candela, the SI unit of luminous intensity. +\end{docCommand} %\iffalse %</example> %\fi % -% If \mandi\ was invoked with \opt{baseunits}, then every physical -% quantity will have a unit that is some product of powers of these seven base SI -% units. Exceptions are angular quantities, which will include either degrees or -% radians depending upon the application. Again, this is what we mean by -% \baseunits\ form.\medskip +% If \mandi\ was invoked with \opt{baseunits}, then every physical quantity will +% have a unit that is some product of powers of these seven base SI units. Exceptions +% are angular quantities, which will include either degrees or radians depending upon +% the application. Again, this is what we mean by \baseunits\ form. % % Certain combinations of the SI base units have nicknames and each such % combination and nickname constitutes a \textit{derived unit}. Derived units are @@ -543,141 +515,855 @@ and includes the derived files README % not Newton. Again, using these select nicknames for certain combinations of base units % is what we mean by \drvdunits\ form. % -% \newpage % \subsection{Defining Physics Quantities} % -% \DescribeMacro{\newphysicsquantity} %\iffalse %<*example> %\fi -\begin{tcblisting}{listing only,title=define a physics quantity\\ - \cs{newphysicsquantity}\marg{newname}\marg{\baseunits}\oarg{\drvdunits} - \oarg{\tradunits}} -Here is how spatial displacement is defined internally. -\newphysicsconstant{displacement}{\m}[\m][\m] -\end{tcblisting} +\begin{docCommand}{newphysicsquantity} + {\marg{newname}\marg{\baseunits}\oarg{\drvdunits}\oarg{\tradunits}} + Defines a new physics quantity and its associated commands. +\end{docCommand} %\iffalse %</example> %\fi % % Using this command causes several things to happen. % \begin{itemize} -% \item A command |\newname|\marg{magnitude}, where |newname| is the first -% argument passed to \\ -% |\newphysicsquantity|, is created that takes one mandatory +% \item A command \colDef{\cs{newname}}\marg{magnitude}, where \colDef{newname} is the +% first argument of +% \colDef{\cs{newphysicsquantity}}, is created that takes one mandatory % argument, a numerical magnitude. Subsequent use of your defined scalar quantity -% can be invoked by typing \\ |\newname|\marg{magnitude} and the units will be +% can be invoked by typing \colDef{\cs{newname}}\marg{magnitude} and the units will be % typeset according to the options given when \mandi\ was loaded. Note that if the % \drvdunits\ and \tradunits\ forms are not specified, they will be % populated with the \baseunits\ form. -% \item A command |\newnamebaseunit|\marg{magnitude} is created that expresses +% \item A command \colDef{\cs{newnamebaseunit}}\marg{magnitude} is created that expresses % the quantity and its units in \baseunits\ form. -% \item A command |\newnamedrvdunit|\marg{magnitude} is created that expresses +% \item A command \colDef{\cs{newnamedrvdunit}}\marg{magnitude} is created that expresses % the quantity and its units in \drvdunits\ form. This command is created whether % or not the first optional argument is provided. -% \item A command |\newnametradunit|\marg{magnitude} is created that +% \item A command \colDef{\cs{newnametradunit}}\marg{magnitude} is created that % expresses the quantity and its units in \tradunits\ form. This command is % created whether or not the first optional argument is provided. -% \item A command |\newnameonlybaseunit|\marg{magnitude} is created that -% expresses -% \textbf{only} the quantity's units in \baseunits\ form. -% \item A command |\newnameonlydrvdunit|\marg{magnitude} is created that +% \item A command \colDef{\cs{newnameonlybaseunit}}\marg{magnitude} is created that +% expresses \textbf{only} the quantity's units in \baseunits\ form. +% \item A command \colDef{\cs{newnameonlydrvdunit}}\marg{magnitude} is created that % expresses \textbf{only} the quantity's units in \drvdunits\ form. -% \item A command |\newnameonlytradunit|\marg{magnitude} is created that +% \item A command \colDef{\cs{newnameonlytradunit}}\marg{magnitude} is created that % expresses \textbf{only} the quantity's units in \tradunits\ form. -% \item A command |\newnamevalue|\marg{magnitude} is created that expresses +% \item A command \colDef{\cs{newnamevalue}}\marg{magnitude} is created that expresses % \textbf{only} the quantity's numerical value. % \end{itemize} % -% To typeset a numerical displacement, you would merely type |\displacement{3}| -% to get \displacement{3} in a calculation. -% % \subsubsection{Defining Vector Quantities} % % Nothing special is necessary for defining vector quantities, but a formatted -% vector is used when invoking the value of that quantity. Thus, typing -% |\displacement{\mivector{3,2,-1}}| gives \displacement{\mivector{3,2,-1}} precisely -% as expected. +% vector is used when invoking the value of that quantity. +% +%\iffalse +%<*example> +%\fi +\begin{dispExample} +\displacement{\mivector{3,2,-1}} +\end{dispExample} +%\iffalse +%</example> +%\fi % -% \newpage % \subsection{First Semester Physics} -% The first semester of \mi\ focuses on mechanics, dynamics, and statistical mechanics. +% The first semester of \mi\, and indeed most traditional introductory calculus-based +% physics course, focuses on mechanics, dynamics, and statistical mechanics. % % \subsubsection{Predefined Quantities} % % The seven fundamental quantities are similarly defined and examples of their % usage is given in the following table. % -% \begin{center} -% \begin{tabular}{c c} -% |\displacement{3.14}| & \displacement{3.14} \\ -% |\mass{2.81}| & \mass{2.81} \\ -% |\duration{4.32}| & \duration{4.32} \\ -% |\current{5.19}| & \current{5.19} \\ -% |\temperature{273}| & \temperature{273} \\ -% |\amount{2.87}| & \amount{2.87} \\ -% |\luminous{5.64}| & \luminous{5.64} \\ -% \end{tabular} -% \end{center} -% -% Okay, so much for the base quantities. While we're at it, let's also go ahead and -% define plane angle, solid angle, and a few non-SI units of angular measure, energy, -% and distance. -% -% \begin{center} -% \begin{tabular}{c c} -% |\planeangle{2.88}| & \planeangle{2.88} \\ -% |\solidangle{4\pi}| & \solidangle{4\pi} \\ -% |\indegrees{30.1}| & \indegrees{30.1} \\ -% |\inarcminutes{30.1}| & \inarcminutes{30.1} \\ -% |\inarcseconds{30.1}| & \inarcseconds{30.1} \\ -% |\ineV{10.2}| & \ineV{10.2} \\ -% |\inAU{5.2}| & \inAU{5.2} -% \end{tabular} -% \end{center} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{displacement}{\marg{magnitude}} +Command for displacement. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a displacement of \displacement{5} \\ +a displacement of \displacement{\mivector{3,2,-1}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{mass}{\marg{magnitude}} +Command for mass. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a mass of \mass{5} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{duration}{\marg{magnitude}} +Command for duration. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a duration of \duration{5} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{current}{\marg{magnitude}} +Command for current. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a current of \current{5} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{temperature}{\marg{magnitude}} +Command for temperature. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a temperature of \temperature{5} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{amount}{\marg{magnitude}} +Command for amount. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an amount of \amount{5} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{luminous}{\marg{magnitude}} +Command for luminous intensity. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a luminous intensity of \luminous{5} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +% While we're at it, let's also go ahead and define a few non-SI units from astronomy +% and astrophysics. +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{planeangle}{\marg{magnitude}} +Command for plane angle in radians. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a plane angle of \planeangle{5} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{solidangle}{\marg{magnitude}} +Command for solidangle. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a solid angle of \solidangle{5} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{indegrees}{\marg{magnitude}} +Command for plane angle in degrees. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a plane angle of \indegrees{5} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{inarcminutes}{\marg{magnitude}} +Command for plane angle in minutes of arc. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an angle of \inarcminutes{5} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{inarcseconds}{\marg{magnitude}} +Command for plane angle in seconds of arc. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an angle of \inarcseconds{5} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{inFarenheit}{\marg{magnitude}} +Command for temperature in degrees Farenheit. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a temperature of \inFarenheit{68} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{inCelsius}{\marg{magnitude}} +Command for temperature in degrees Celsius. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a temperature of \inCelsius{20} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{ineV}{\marg{magnitude}} +Command for energy in electron volts. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an energy of \ineV{10.2} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{inMeVocs}{\marg{magnitude}} +Command for mass in \(\mathrm{MeV}\per\msup{c}{2}\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +a mass of \inMeVocs{0.511} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{inMeVoc}{\marg{magnitude}} +Command for momentum in \(\mathrm{MeV}\per c\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +a momentum of \inMeVoc{3.6} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{inAU}{\marg{magnitude}} +Command for displacement in astronomical units. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a semimajor axis of \inAU{5.2} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{inly}{\marg{magnitude}} +Command for displacement in light years. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a distance of \inly{4.3} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{incyr}{\marg{magnitude}} +Command for displacement in light years written differently. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a distance of \incyr{4.3} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{inpc}{\marg{magnitude}} +Command for displacement in parsecs. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a distance of \inpc{4.3} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{insolarL}{\marg{magnitude}} +Command for luminosity in solar multiples. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a luminosity of \insolarL{4.3} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{insolarT}{\marg{magnitude}} +Command for temperature in solar multiples. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a temperature of \insolarT{2} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{insolarR}{\marg{magnitude}} +Command for radius in solar multiples. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a radius of \insolarR{4.3} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{insolarM}{\marg{magnitude}} +Command for mass in solar multiples. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a mass of \insolarM{4.3} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{insolarF}{\marg{magnitude}} +Command for flux in solar multiples. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a flux of \insolarF{4.3} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{insolarf}{\marg{magnitude}} +Command for apparent flux in solar multiples. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an apparent flux of \insolarf{4.3} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{insolarMag}{\marg{magnitude}} +Command for absolute magnitude in solar multiples. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an absolute magnitude of \insolarMag{2} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{insolarmag}{\marg{magnitude}} +Command for apparent magnitude in solar multiples. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an apparent magnitude of \insolarmag{2} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{insolarD}{\marg{magnitude}} +Command for distance in solar multiples. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a distance of \insolarD{2} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{insolard}{\marg{magnitude}} +Identical to \cs{insular} but uses \(d\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +a distance of \insolard{2} +\end{dispExample*} +%\iffalse +%</example> +%\fi % % Angles are confusing in introductory physics because sometimes we write the unit % and sometimes we do not. Some concepts, such as flux, are simplified by -% introducing solid angle.\medskip +% introducing solid angle. % % Now let us move on into first semester physics, defining quantities in the approximate % order in which they appear in \mi. Use |\scin[]{}| to get % scientific notation, with the mantissa as the optional first argument and the exponent -% as the required second argument. An optional third argument specifies a unit, but that -% is not needed in the following examples. -% -% \begin{center} -% \begin{tabular}{c c} -% |\velocityc{0.24}| & \velocityc{0.24} \\ -% |\velocity{2.99}| & \velocity{2.99} \\ -% |\gamman{4.32}| & \gamman{4.32} \\ -% |\momentum{\scin[2.44]{4}}| & \momentum{\scin[2.44]{4}} \\ -% |\acceleration{9.81}| & \acceleration{9.81} \\ -% |\impulse{3.56}| & \impulse{3.56} \\ -% |\force{2.84}| & \force{2.84} \\ -% |\springstiffness{6.92}| & \springstiffness{6.92} \\ -% |\springstretch{0.212}| & \springstretch{0.212} \\ -% |\area{0.125}| & \area{0.125} \\ -% |\volume{5.33}| & \volume{5.33} \\ -% |\linearmassdensity{2.33}| & \linearmassdensity{2.33} \\ -% |\areamassdensity{3.60}| & \areamassdensity{3.60} \\ -% |\volumemassdensity{27.4}| & \volumemassdensity{27.4} \\ -% |\youngsmodulus{\scin[2.12]{9}}| & \youngsmodulus{\scin[2.12]{9}} \\ -% |\work{4.04}| & \work{4.04} \\ -% |\energy{4.40}| & \energy{4.40} \\ -% |\power{100.2}| & \power{100.2} \\ -% |\angularvelocity{3.02}| & \angularvelocity{3.02} \\ -% |\angularacceleration{5.32}| & \angularacceleration{5.32} \\ -% |\angularmomentum{6.81}| & \angularmomentum{6.81} \\ -% |\momentofinertia{4.59}| & \momentofinertia{4.59} \\ -% |\torque{3.40}| & \torque{3.40} \\ -% |\entropy{5.95}| & \entropy{5.95} \\ -% |\wavelength{\scin[4.00]{-7}}| & \wavelength{\scin[4.00]{-7}} \\ -% |\wavenumber{\scin[2.50]{6}}| & \wavenumber{\scin[2.50]{6}} \\ -% |\frequency{\scin[7.50]{14}}| & \frequency{\scin[7.50]{14}} \\ -% |\angularfrequency{\scin[4.70]{15}}| & \angularfrequency{\scin[4.70]{15}} -% \end{tabular} -% \end{center} +% as the required second argument. |\scin| has an optional third argument that specifies +% a unit, but that is not needed or used in the following examples. +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{velocityc}{\marg{magnitude}} +Command for magnitude of velocity as a fraction of \(c\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +a velocity of \velocityc{0.9987} \\ +a velocity of \velocityc{\mivector{0,0.9987,0}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{velocity}{\marg{magnitude}} +Command for magnitude of velocity. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a velocity of \velocity{2.34} \\ +a velocity of \velocity{\mivector{3,2,-1}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{lorentz}{\marg{magnitude}} +Command for relativistic Lorentz factor. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a Lorentz factor of \lorentz{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{momentum}{\marg{magnitude}} +Command for momentum. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a momentum of \momentum{2.34} \\ +a momentum of \momentum{\mivector{3,2,-1}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{acceleration}{\marg{magnitude}} +Command for acceleration. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an acceleration of \acceleration{2.34} \\ +an acceleration of \acceleration{\mivector{3,2,-1}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{impulse}{\marg{magnitude}} +Command for impulse. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an impulse of \impulse{2.34} \\ +an impulse of \impulse{\mivector{3,2,-1}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{force}{\marg{magnitude}} +Command for force. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a force of \force{2.34} \\ +a force of \force{\mivector{3,2,-1}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{springstiffness}{\marg{magnitude}} +Command for spring stiffness. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a spring stiffness of \springstiffness{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{springstretch}{\marg{magnitude}} +Command for spring stretch. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a spring stretch of \springstretch{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{area}{\marg{magnitude}} +Command for area. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an area of \area{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{volume}{\marg{magnitude}} +Command for volume. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a volume of \volume{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{linearmassdensity}{\marg{magnitude}} +Command for linear mass density. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a linear mass density of \linearmassdensity{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{areamassdensity}{\marg{magnitude}} +Command for area mass density. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an area mass density of \areamassdensity{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{volumemassdensity}{\marg{magnitude}} +Command for volume mass density. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a volume mass density of \volumemassdensity{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{youngsmodulus}{\marg{magnitude}} +Command for Young's modulus. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a Young's modulus of \youngsmodulus{\scin[2.34]{9}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{work}{\marg{magnitude}} +Command for work. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an amount of work \work{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{energy}{\marg{magnitude}} +Command for energy. Work and energy have the same unit, but are conceptually different. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an amount of energy \energy{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{power}{\marg{magnitude}} +Command for power. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an amount of power \power{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{angularvelocity}{\marg{magnitude}} +Command for angular velocity. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an angular velocity of \angularvelocity{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +%\iffalse +%<*example> +%\fi +\begin{docCommand}{angularacceleration}{\marg{magnitude}} +Command for angular acceleration. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an angular acceleration of \angularacceleration{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +%\iffalse +%<*example> +%\fi +\begin{docCommand}{angularmomentum}{\marg{magnitude}} +Command for angular momentum. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an angular momentum of \angularmomentum{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{momentofinertia}{\marg{magnitude}} +Command for moment of inertia. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a moment of inertia of \momentofinertia{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{torque}{\marg{magnitude}} +Command for torque. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a torque of \torque{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{entropy}{\marg{magnitude}} +Command for entropy. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an entropy of \entropy{2.34} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{wavelength}{\marg{magnitude}} +Command for wavelength. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a wavelength of \wavelength{\scin[4.00]{-7}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{wavenumber}{\marg{magnitude}} +Command for wavenumber. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a wavenumber of \wavenumber{\scin[2.50]{6}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{frequency}{\marg{magnitude}} +Command for frequency. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a frequency of \frequency{\scin[7.50]{14}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{angularfrequency}{\marg{magnitude}} +Command for angularfrequency. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an angular frequency of \angularfrequency{\scin[4.70]{15}} +\end{dispExample*} +%\iffalse +%</example> +%\fi % % Two quick thoughts here. First, work and energy are similar to momentum and impulse % in that they come from two different concepts. Work comes from force acting through @@ -687,62 +1373,456 @@ Here is how spatial displacement is defined internally. % have different names for the vector and the magnitude of the vector. I decided to put % it on the same footing as momentum, acceleration, and force. % -% \newpage % \subsection{Second Semester Physics} % The second semester of \mi\ focuses on electromagnetic theory, and there are many % primary and secondary quantities. % % \subsubsection{Predefined Quantities} % -% \begin{center} -% \begin{tabular}{c c} -% |\charge{\scin[2]{-9}}| & \charge{\scin[2]{-9}} \\ -% |\permittivity{\scin[9]{-12}}| & \permittivity{\scin[9]{-12}} \\ -% |\electricfield{\scin[2]{5}}| & \electricfield{\scin[2]{5}} \\ -% |\electricdipolemoment{\scin[3]{-22}}| & \electricdipolemoment{\scin[3]{-22}} \\ -% |\permeability{\scin[4\pi]{-7}}| & \permeability{\scin[4\pi]{-7}} \\ -% |\magneticfield{1.25}| & \magneticfield{1.25} \\ -% |\cmagneticfield{1.25}| & \cmagneticfield{1.25} \\ -% |\linearchargedensity{1.25}| & \linearchargedensity{1.25} \\ -% |\areachargedensity{1.25}| & \areachargedensity{1.25} \\ -% |\volumechargedensity{1.25}| & \volumechargedensity{1.25} \\ -% |\mobility{\scin[4.5]{-3}}| & \mobility{\scin[4.5]{-3}} \\ -% |\numberdensity{\scin[2]{18}}| & \numberdensity{\scin[2]{18}} \\ -% |\polarizability{\scin[1.96]{-40}}| & \polarizability{\scin[1.96]{-40}} \\ -% |\electricpotential{1.5}| & \electricpotential{1.5} \\ -% |\emf{1.5}| & \emf{1.5} \\ -% |\dielectricconstant{1.5}| & \dielectricconstant{1.5} \\ -% |\indexofrefraction{1.5}| & \indexofrefraction{1.5} \\ -% |\relativepermittivity{0.9}| & \relativepermittivity{0.9} \\ -% |\relativepermeability{0.9}| & \relativepermeability{0.9} \\ -% |\energydensity{1.25}| & \energydensity{1.25} \\ -% |\electroncurrent{\scin[2]{18}}| & \electroncurrent{\scin[2]{18}} \\ -% |\conventionalcurrent{0.003}| & \conventionalcurrent{0.003} \\ -% |\magneticdipolemoment{1.25}| & \magneticdipolemoment{1.25} \\ -% |\currentdensity{1.25}| & \currentdensity{1.25} \\ -% |\capacitance{1.00}| & \capacitance{1.00} \\ -% |\conductivity{1.25}| & \conductivity{1.25} \\ -% |\resistivity{1.25}| & \resistivity{1.25} \\ -% |\resistance{\scin[1]{6}}| & \resistance{\scin[1]{6}} \\ -% |\conductance{1.25}| & \conductance{1.25} -% \end{tabular} -% \end{center} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{charge}{\marg{magnitude}} +Command for electric charge. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a charge of \charge{\scin[2]{-9}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{permittivity}{\marg{magnitude}} +Command for permittivity. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a permittivity of \permittivity{\scin[9]{-12}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{electricdipolemoment}{\marg{magnitude}} +Command for electric dipole moment. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an electric dipole moment of \electricdipolemoment{\scin[2]{5}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{permeability}{\marg{magnitude}} +Command for permeability. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a permeability of \permeability{\scin[4\pi]{-7}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{magneticfield}{\marg{magnitude}} +Command for magnetic field (also called magnetic induction). +\end{docCommand} +\begin{dispExample*}{sidebyside} +a magnetic field of \magneticfield{1.25} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{cmagneticfield}{\marg{magnitude}} +Command for product of \(\mathrm{c}\) and magnetic field. This quantity is convenient +for symmetry. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a magnetic field of \cmagneticfield{1.25} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{linearchargedensity}{\marg{magnitude}} +Command for linear charge density. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a linear charge density of \linearchargedensity{\scin[4.5]{-3}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{areachargedensity}{\marg{magnitude}} +Command for area charge density. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an area charge density of \areachargedensity{1.25} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{volumechargedensity}{\marg{magnitude}} +Command for volume charge density. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a volume charge density of \volumechargedensity{1.25} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{mobility}{\marg{magnitude}} +Command for electron mobility. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a mobility of \areachargedensity{\scin[4.5]{-3}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{numberdensity}{\marg{magnitude}} +Command for electron number density. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a number density of \numberdensity{\scin[2]{18}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{polarizability}{\marg{magnitude}} +Command for polarizability. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a polarizability of \polarizability{\scin[1.96]{-40}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{electricpotential}{\marg{magnitude}} +Command for electric potential. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an electric potential of \polarizability{1.5} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{emf}{\marg{magnitude}} +Command for emf. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an emf of \emf{1.5} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dielectricconstant}{\marg{magnitude}} +Command for dielectric constant. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a dielectric constant of \dielectricconstant{1.5} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{indexofrefraction}{\marg{magnitude}} +Command for index of refraction. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an index of refraction of \indexofrefraction{1.5} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{relativepermittivity}{\marg{magnitude}} +Command for relative permittivity. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a relative permittivity of \relativepermittivity{0.9} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{relativepermeability}{\marg{magnitude}} +Command for relative permeability. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a relative permeability of \relativepermeability{0.9} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{energydensity}{\marg{magnitude}} +Command for energy density. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an energy density of \energydensity{1.25} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{electroncurrent}{\marg{magnitude}} +Command for electron current. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an electron current of \electroncurrent{\scin[2]{18}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{conventionalcurrent}{\marg{magnitude}} +Command for conventional current. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a conventional current of \conventionalcurrent{0.003} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{magneticdipolemoment}{\marg{magnitude}} +Command for magnetic dipole moment. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a magnetic dipole moment of \magneticdipolemoment{1.25} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{currentdensity}{\marg{magnitude}} +Command for current density. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a current density of \currentdensity{1.25} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{electricflux}{\marg{magnitude}} +Command for electric flux. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an electric flux of \electricflux{1.25} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{magneticflux}{\marg{magnitude}} +Command for magnetic flux. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a magnetic flux of \magneticflux{1.25} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{capacitance}{\marg{magnitude}} +Command for capacitance. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a capacitance of \capacitance{1.00} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{inductance}{\marg{magnitude}} +Command for inductance. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an inductance of \inductance{1.00} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{conductivity}{\marg{magnitude}} +Command for conductivity. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a conductivity of \conductivity{1.25} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{resistivity}{\marg{magnitude}} +Command for resistivity. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a resistivity of \resistivity{1.25} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{resistance}{\marg{magnitude}} +Command for resistance. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a resistance of \resistance{\scin[1]{6}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{conductance}{\marg{magnitude}} +Command for conductance. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a conductance of \conductance{\scin[1]{6}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{magneticcharge}{\marg{magnitude}} +Command for magnetic charge, in case it actually exists. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a magnetic charge of \magneticcharge{1.25} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{energyflux}{\marg{magnitude}} +Command for energy flux. +\end{docCommand} +\begin{dispExample*}{sidebyside} +an energy flux of \energyflux{\scin[4]{26}} +\end{dispExample*} +%\iffalse +%</example> +%\fi % -% \newpage % \subsection{Further Words on Units} % As you recall, when a new scalar or vector is defined, a host of other commands % is also automatically defined. Consider momentum. The following commands are % defined: % % \begin{quotation} -% \begin{tabular}{c c c} -% |\momentum{3}| & \momentum{3} & unit determined by global options\\ -% |\momentumbaseunit{3}| & \momentumbaseunit{3} & quantity with base unit \\ -% |\momentumdrvdunit{3}| & \momentumdrvdunit{3} & quantity with derived unit \\ -% |\momentumtradunit{3}| & \momentumtradunit{3} & quantity with traditional unit \\ -% |\momentumvalue{3}| & \momentumvalue{3} & numerical value of quantity \\ -% |\momentumonlybaseunit| & \momentumonlybaseunit & selects only base unit \\ -% |\momentumonlydrvdunit| & \momentumonlydrvdunit & selects only derived unit \\ +% \begin{tabular}{l l l} +% |\momentum{3}| & \momentum{3} & unit determined by global options \\ +% |\momentumbaseunit{3}| & \momentumbaseunit{3} & quantity with base unit \\ +% |\momentumdrvdunit{3}| & \momentumdrvdunit{3} & quantity with derived unit \\ +% |\momentumtradunit{3}| & \momentumtradunit{3} & quantity with traditional unit \\ +% |\momentumvalue{3}| & \momentumvalue{3} & selects numerical value of quantity \\ +% |\momentumonlybaseunit| & \momentumonlybaseunit & selects only base unit \\ +% |\momentumonlydrvdunit| & \momentumonlydrvdunit & selects only derived unit \\ % |\momentumonlytradunit| & \momentumonlytradunit & selects only traditional unit % \end{tabular} % \end{quotation} @@ -752,418 +1832,725 @@ Here is how spatial displacement is defined internally. % in the table above, is to append |baseunit|, |drvdunit|, |tradunit| to the % quantity's name, and this will override the global options for that instance. % -% \DescribeMacro{\hereusebaseunit} -% \DescribeMacro{\hereusedrvdunit} -% \DescribeMacro{\hereusetradunit} -% A second way is to use the commands |\hereusebaseunit{}|, |\hereusedrvdunit{}|, or -% |\hereusetradunit{}| with the quantity as the argument. +% A second way is to use the commands that change a quantity's unit on the fly. % -% \begin{quotation} -% \begin{tabular}{c c} -% |\hereusebaseunit{\momentum{3}}| & \hereusebaseunit{\momentum{3}} \\ -% |\hereusedrvdunit{\momentum{3}}| & \hereusedrvdunit{\momentum{3}} \\ -% |\hereusetradunit{\momentum{3}}| & \hereusetradunit{\momentum{3}} -% \end{tabular} -% \end{quotation} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{hereusebaseunit}{\marg{magnitude}} +Command for using base units in place. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a momentum of \hereusebaseunit{\momentum{3}} +\end{dispExample*} +%\iffalse +%</example> +%\fi % -% \DescribeEnv{usebaseunit} -% \DescribeEnv{usedrvdunit} -% \DescribeEnv{usetradunit} -% A third way is to use the |usebaseunit|, |usedrvdunit|, |usetradunit| -% environments. \\ +%\iffalse +%<*example> +%\fi +\begin{docCommand}{hereusedrvdunit}{\marg{magnitude}} +Command for using derived units in place. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a momentum of \hereusedrvdunit{\momentum{3}} +\end{dispExample*} +%\iffalse +%</example> +%\fi % -% \begin{quotation} -% \begin{tabular}{c c} -% |\begin{usebaseunit}| & \\ -% | \momentum{3} | & \begin{usebaseunit}\momentum{3}\end{usebaseunit}\\ -% |\end{usebaseunit} | & \\ -% |\begin{usedrvdunit}| & \\ -% | \momentum{3} | & \begin{usedrvdunit}\momentum{3}\end{usedrvdunit}\\ -% |\end{usedrvdunit} | & \\ -% |\begin{usetradunit}| & \\ -% | \momentum{3} | & \begin{usetradunit}\momentum{3}\end{usetradunit}\\ -% |\end{usetradunit} | & \\ -% \end{tabular} -% \end{quotation} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{hereusetradunit}{\marg{magnitude}} +Command for using traditional units in place. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a momentum of \hereusetradunit{\momentum{3}} +\end{dispExample*} +%\iffalse +%</example> +%\fi % -% \DescribeMacro{\perpusebaseunit} -% \DescribeMacro{\perpusedrvdunit} -% \DescribeMacro{\perpusetradunit} -% A fourth way is to use the global switches |\perpusebaseunit|, |\perpusedrvdunit|, -% and \\ -% |\perpusetradunit| (think \textit{perpetually use\ldots}). \textbf{It's important to -% remember that these switches override the global options for the rest of the document -% or until overridden by one of the other two switches.} +% A third way is to use the environments that change a quantity's unit for the +% duration of the environment. % -% \newpage -% \subsection{Expressions with Vectors} +%\iffalse +%<*example> +%\fi +\begin{docEnvironment}{usebaseunit}{} +Environment for using base units. +\end{docEnvironment} +\begin{dispExample*}{sidebyside} +\begin{usebaseunit} + \momentum{3} +\end{usebaseunit} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docEnvironment}{usedrvdunit}{} +Environment for using derived units. +\end{docEnvironment} +\begin{dispExample*}{sidebyside} +\begin{usedrvdunit} + \momentum{3} +\end{usedrvdunit} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docEnvironment}{usetradunit}{} +Environment for using traditional units. +\end{docEnvironment} +\begin{dispExample*}{sidebyside} +\begin{usetradunit} + \momentum{3} +\end{usetradunit} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +% A fourth way is to use the three global switches that perpetually change the +% default unit. \textbf{It's important to remember that these switches override +% the global options for the rest of the document or until overridden by one of +% the other two switches.} +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{perpusebaseunit}{} +Command for perpetually using base units. +\end{docCommand} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{perpusedrvdunit}{\marg{magnitude}} +Command for perpetually using derived units.. +\end{docCommand} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{perpusetradunit}{\marg{magnitude}} +Command for perpetually using traditional units.. +\end{docCommand} +%\iffalse +%</example> +%\fi +% +% \subsection{Symbolic Expressions with Vectors} % \subsubsection{Basic Vectors} % -% \DescribeMacro{\vect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for a vector quantity\\ - \cs{vect}\marg{kernel}} +\begin{docCommand}{vect}{\marg{kernel}} +Symbol for a vector quantity. +\end{docCommand} +\begin{dispExample*}{sidebyside} \vect{p} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\magvect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for a vector quantity's magnitude\\ - \cs{magvect}\marg{kernel}} +\begin{docCommand}{magvect}{\marg{kernel}} +Symbol for magnitude of a vector quantity. +\end{docCommand} +\begin{dispExample*}{sidebyside} \magvect{p} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\dirvect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for a vector quantity's direction\\ - \cs{dirvect}\marg{kernel}} +\begin{docCommand}{dirvect}{\marg{kernel}} +Symbol for direction of a vector quantity. +\end{docCommand} +\begin{dispExample*}{sidebyside} \dirvect{p} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\ncompszerovect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for the zero vector expressed in components \\ - Deprecated. Use \cs{mivector} instead.\\ - \cs{ncompszerovect}} +\begin{docCommand}{mivector} + {\oarg{printeddelimiter}\marg{commadelimitedlistofcomps}\oarg{unit}} +Generic workhorse command for vectors formatted as in \mi. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\begin{align*} +\msub{u}{\mu} &= \mivector{\ezero,\eone,\etwo,\ethree} \\ +\vect{v} &= \mivector{1,3,5}[\velocityonlytradunit] \\ +\vect{E} &= \mivector{\oofpezmathsymbol \frac{Q}{\msup{x}{2}},0,0} +\end{align*} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{ncompszerovect}{} +Symbol for the zero vector expressed in components. Deprecated. Use \cs{mivector} instead. +\end{docCommand} +\begin{dispExample*}{sidebyside} \ncompszerovect -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -%\newpage -% \DescribeMacro{\symvect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for vector with expressions as components\\ - Deprecated. Use \cs{mivector} instead.\\ - \cs{symvect}\marg{listofcomps}} -\symvect{\magvect{E}\cos\theta,\magvect{E}\sin\theta,0} -\end{tcblisting} +\begin{docCommand}{symvect}{\marg{listofcomps}} +Command for a vector with symbolic components. Deprecated. Use \cs{mivector} instead. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\symvect{\magvect{E}\cos\theta, + \magvect{E}\sin\theta,0} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\ncompsvect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=vector with numerical components and an - Deprecated. Use \cs{mivector} instead.\\ - optional unit\\ \cs{ncompsvect}\marg{listofcomps}\oarg{unit}} -\ncompsvect{3,4,6}[\m\per\s] -\end{tcblisting} +\begin{docCommand}{ncompsvect}{\marg{listofcomps}\oarg{unit}} +Command for a vector with numerical components and an optional unit. Deprecated. +Use \cs{mivector} instead. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\ncompsvect{3,4,6}[\velocityonlytradunit] +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\magvectncomps} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=expression for a vector's magnitude with numerical - components and an optional unit\\ - \cs{magvectncomps}\marg{listofcomps}\oarg{unit}} -\magvectncomps{3.12,4.04,6.73}[\m\per\s] -\end{tcblisting} +\begin{docCommand}{magvectncomps}{\marg{listofcomps}\oarg{unit}} +Expression for a vector's magnitude with numerical components and an optional unit. +\end{docCommand} +\begin{dispExample} +\magvectncomps{3.12,4.04,6.73}[\velocityonlytradunit] +\end{dispExample} %\iffalse %</example> %\fi % -% \DescribeMacro{\scompsvect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbolic components of a vector\\ - \cs{scompsvect}\marg{kernel}} +\begin{docCommand}{scompsvect}{\marg{kernel}} +Expression for a vector's symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} \scompsvect{E} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\compvect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbolic component of a vector\\ - \cs{compvect}\marg{kernel}\marg{comp}} +\begin{docCommand}{compvect}{\marg{kernel}\marg{component}} +Isolates one of a vector's symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} \compvect{E}{y} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\magvectscomps} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=expression for a vector's magnitude in - terms of its symbolic components\\ \cs{magvectscomps}\marg{kernel}} +\begin{docCommand}{magvectscomps}{\marg{kernel}} +Expression for a vector's magnitude in terms of its symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} \magvectscomps{B} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % % \subsubsection{Position Vectors} % -% \DescribeMacro{\scompspos} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbolic components of a position vector\\ - \cs{scompspos}} +\begin{docCommand}{scompspos}{} +Expression for a position vector's traditional symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} \scompspos -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\comppos} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=one component of a position vector\\ - \cs{comppos}\marg{comp}} -\comppos{y} -\end{tcblisting} +\begin{docCommand}{comppos}{\marg{component}} +Isolates one symbolic component of a position vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\comppos{z} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage % \subsubsection{Differentials and Derivatives of Vectors} -% \DescribeMacro{\dvect} -% \DescribeMacro{\Dvect} +% %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for the differential of a vector\\ - \cs{dvect}\marg{kernel} or \cs{Dvect}\marg{kernel}} -\dvect{E} or \Dvect{E} -\end{tcblisting} +\begin{docCommand}{dvect}{\marg{kernel}} +Symbol for the differential of a vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +a change \dvect{E} in electric field +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\dirdvect} -% \DescribeMacro{\dirDvect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for the direction of the differential - of a vector\\ \cs{dirdvect}\marg{kernel} or \cs{dirDvect}\marg{kernel}} -\dirdvect{E} or \dirDvect{E} -\end{tcblisting} +\begin{docCommand}{Dvect}{\marg{kernel}} +Identical to \cs{dvect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +a change \Dvect{E} in electric field +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\ddirvect} -% \DescribeMacro{\Ddirvect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for the differential of a vector's - direction\\ \cs{ddirvect}\marg{kernel} or \cs{Ddirvect}\marg{kernel}} -\ddirvect{E} or \Ddirvect{E} -\end{tcblisting} +\begin{docCommand}{dirdvect}{\marg{kernel}} +Symbol for the direction of a vector's differential. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the direction \dirdvect{E} of the change +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\magdvect} -% \DescribeMacro{\magDvect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=magnitude of the differential of a vector\\ - \cs{magdvect}\marg{kernel} or \cs{magDvect}\marg{kernel}} -\magdvect{E} or \magDvect{E} -\end{tcblisting} +\begin{docCommand}{dirDvect}{\marg{kernel}} +Identical to \cs{dirdvect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the direction \dirDvect{E} of the change +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\dmagvect} -% \DescribeMacro{\Dmagvect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=differential of the magnitude of a vector\\ - \cs{dmagvect}\marg{kernel} or \cs{Dmagvect}\marg{kernel}} -\dmagvect{E} or \Dmagvect{E} -\end{tcblisting} +\begin{docCommand}{ddirvect}{\marg{kernel}} +Symbol for the differential of a vector's direction. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the change \ddirvect{E} in the direction +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\scompsdvect} -% \DescribeMacro{\scompsDvect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbolic components of the differential - of a vector\\ \cs{scompsdvect}\marg{kernel} or \cs{scompsDvect}\marg{kernel}} -\scompsdvect{E} or \scompsDvect{E} -\end{tcblisting} +\begin{docCommand}{Ddirvect}{\marg{kernel}} +Identical to \cs{ddirvect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the direction \Ddirvect{E} of the change +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\compdvect} -% \DescribeMacro{\compDvect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=one symbolic component of the differential of - a vector\\ \cs{compdvect}\marg{kernel}\marg{comp} or \cs{compDvect}\marg{kernel} - \marg{comp}} -\compdvect{E}{z} or \compDvect{E}{y} -\end{tcblisting} +\begin{docCommand}{magdvect}{\marg{kernel}} +Symbol for the magnitude of a vector's differential. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the magnitude \magdvect{E} of the change +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\scompsdpos} -% \DescribeMacro{\scompsDpos} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbolic components of the differential of a - position vector\\ \cs{scompsdpos} or \cs{scompsDpos}} -\scompsdpos\ or \scompsDpos -\end{tcblisting} +\begin{docCommand}{magDvect}{\marg{kernel}} +Identical to \cs{magdvect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the magnitude \magDvect{E} of the change +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\compdpos} -% \DescribeMacro{\compDpos} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=one component of the differential of a - position vector\\ \cs{compdpos}\marg{comp} or \cs{compDpos}\marg{comp}} -\compdpos{z} or \compDpos{y} -\end{tcblisting} +\begin{docCommand}{dmagvect}{\marg{kernel}} +Symbol for the differential of a vector's magnitude. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the change \dmagvect{E} in the magnitude +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\dervect} -% \DescribeMacro{\Dervect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for the derivative of a vector\\ - \cs{dervect}\marg{kernel}\marg{indvar} or \cs{Dervect}\marg{kernel}\marg{indvar}} -\dervect{E}{t} or \Dervect{E}{t} -\end{tcblisting} +\begin{docCommand}{Dmagvect}{\marg{kernel}} +Identical to \cs{dmagvect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the change \Dmagvect{E} in the magnitude +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\dermagvect} -% \DescribeMacro{\Dermagvect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for the derivative of the magnitude of a - vector\\ \cs{dermagvect}\marg{kernel}\marg{indvar} or - \cs{Dermagvect}\marg{kernel}\marg{indvar}} -\dermagvect{E}{t} or \Dermagvect{E}{t} -\end{tcblisting} +\begin{docCommand}{scompsdvect}{\marg{kernel}} +Symbolic components of a vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \scompsdvect{E} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\scompsdervect} -% \DescribeMacro{\scompsDervect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbolic components of the derivative of a - vector\\ \cs{scompsdervect}\marg{kernel}\marg{indvar} or\\ - \cs{scompsDervect}\marg{kernel}\marg{indvar}} -\scompsdervect{E}{t} or \scompsDervect{E}{t} -\end{tcblisting} +\begin{docCommand}{scompsDvect}{\marg{kernel}} +Identical to \cs{scompsdvect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \scompsDvect{E} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\compdervect} -% \DescribeMacro{\compDervect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=one component of the derivative of a vector\\ - \cs{compdervect}\marg{kernel}\marg{indvar}\marg{comp} or\\ - \cs{compDervect}\marg{kernel}\marg{indvar}\marg{comp}} -\compdervect{E}{t}{y} or \compDervect{E}{t}{y} -\end{tcblisting} +\begin{docCommand}{compdvect}{\marg{kernel}\marg{component}} +Isolates one symbolic component of a vector's differential. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the \compdvect{E}{y} component of the change +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\magdervect} -% \DescribeMacro{\magDervect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=magnitude of the derivative of a vector\\ - \cs{magdervect}\marg{kernel}\marg{indvar} or \cs{magDervect}\marg{kernel}\marg{indvar}} -\magdervect{E}{t} or \magDervect{E}{t} -\end{tcblisting} +\begin{docCommand}{compDvect}{\marg{kernel}\marg{component}} +Identical to \cs{compdvect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the \compDvect{E}{y} component of the change +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{scompsdpos}{} +Symbolic components of a position vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the change in position \scompsdpos +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{scompsDpos}{} +Identical to \cs{scompsdpos} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the change in position \scompsDpos +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{compdpos}{\marg{component}} +Isolates one component of a position vector's differential. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the component \compdpos{z} of the change +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{compDpos}{\marg{component}} +Identical to \cs{compdpos} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the component \compDpos{z} of the change +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dervect}{\marg{kernel}\marg{indvar}} +Symbol for a vector's derivative with respect to an independent variable. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \dervect{E}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Dervect}{\marg{kernel}\marg{indvar}} +Identical to \cs{dervect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \Dervect{E}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dermagvect}{\marg{kernel}\marg{indvar}} +Symbol for the derivative of a vector's magnitude with respect to an independent variable. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \dermagvect{E}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Dermagvect}{\marg{kernel}\marg{indvar}} +Identical to \cs{dermagvect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \Dermagvect{E}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{scompsdervect}{\marg{kernel}\marg{indvar}} +Symbolic components of a vector's derivative with respect to an independent variable. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \scompsdervect{E}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{scompsDervect}{\marg{kernel}\marg{indvar}} +Identical to \cs{scompsdervect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \scompsdervect{E}{t} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\scompsderpos} -% \DescribeMacro{\scompsDerpos} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbolic components of the derivative of a - position vector\\ \cs{scompsderpos}\marg{indvar} or \cs{scompsDerpos}\marg{indvar}} -\scompsderpos{t} or \scompsDerpos{t} -\end{tcblisting} +\begin{docCommand}{compdervect}{\marg{kernel}\marg{component}\marg{indvar}} +Isolates one component of a vector's derivative with respect to an independent variable. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \compdervect{E}{y}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{compDervect}{\marg{kernel}\marg{component}\marg{indvar}} +Identical to \cs{compdervect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \compDervect{E}{y}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{magdervect}{\marg{kernel}\marg{indvar}} +Symbol for the magnitude of a vector's derivative with respect to an independent variable. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \magdervect{E}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{magDervect}{\marg{kernel}\marg{indvar}} +Identical to \cs{magdervect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \magDervect{E}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{scompsderpos}{\marg{indvar}} +Symbolic components of a position vector's derivative with respect to an independent variable. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \scompsderpos{t} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\compderpos} -% \DescribeMacro{\compDerpos} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=one component of the derivative of a position - vector\\ \cs{compderpos}\marg{comp}\marg{indvar} or\\ - \cs{compDerpos}\marg{comp}\marg{indvar}} -\compderpos{z}{t} or \compDerpos{z}{t} -\end{tcblisting} +\begin{docCommand}{scompsDerpos}{\marg{indvar}} +Identical to \cs{scompsderpos} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \scompsDerpos{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{compderpos}{\marg{component}\marg{indvar}} +Isolates one component of a vector's derivative with respect to an independent variable. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \compderpos{z}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{compDerpos}{\marg{component}\marg{indvar}} +Identical to \cs{compderpos} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \compDerpos{z}{t} +\end{dispExample*} %\iffalse %</example> %\fi @@ -1174,743 +2561,1377 @@ Here is how spatial displacement is defined internally. % you should think of a single component. Every time you see |scomps| you should % think of a set of symbolic components. Every time you see |der| you should % think derivative. Every time you see |dir| you should think direction. I have -% tried to make the names simple both logically and lexically. \\ +% tried to make the names simple both logically and lexically. % -% \newpage -% \subsubsection{Subscripted Vectors} -% Now we have commands for vectors that carry subscripts, usually to identify an +% \subsubsection{Subscripted or Indexed Vectors} +% Now we have commands for vectors that carry subscripts or indices, usually to identify an % object or something similar. Basically, |vect| becomes |vectsub| and |pos| % becomes |possub|. Ideally, a subscript should not contain mathematical % symbols. However, if you wish to do so, just wrap the symbol with % |\(|\(\ldots \)|\)| as you normally would. All of the commands for non-subscripted -% vectors are available for subscripted vectors. \\ +% vectors are available for subscripted vectors. % -% \DescribeMacro{\vectsub} -% \DescribeMacro{\magvectsub} -% \DescribeMacro{\dirvectsub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=name magnitude and direction of a subscripted - vector\\ \cs{vectsub}\marg{kernel}\marg{sub}\\ - \cs{dirvectsub}\marg{kernel}\marg{sub}\\ - \cs{magvectsub}\marg{kernel}\marg{sub}} -\vectsub{p}{ball} and \magvectsub{p}{ball} and \dirvectsub{p}{ball} -\end{tcblisting} +\begin{docCommand}{vectsub}{\marg{kernel}\marg{sub}} +Symbol for a subscripted vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \vectsub{p}{ball} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\scompsvectsub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbolic components of a subscripted vector\\ - \cs{scompsvectsub}\marg{kernel}\marg{sub}} -\scompsvectsub{p}{ball} -\end{tcblisting} +\begin{docCommand}{magvectsub}{\marg{kernel}\marg{sub}} +Symbol for a subscripted vector's direction. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the direction \dirvectsub{p}{ball} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\compvectsub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=one component of a subscripted vector\\ - \cs{compvectsub}\marg{kernel}\marg{sub}\marg{comp}} -\compvectsub{p}{ball}{z} -\end{tcblisting} +\begin{docCommand}{dirvectsub}{\marg{kernel}\marg{sub}} +Symbol for a subscripted vector's magnitude. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the magnitude \magvectsub{p}{ball} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{scompsvectsub}{\marg{kernel}\marg{sub}} +Symbolic components of a subscripted vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \scompsvectsub{p}{ball} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\magvectsubscomps} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=magnitude of a subscripted vector in terms of its - symbolic components\\ \cs{magvectsubscomps}\marg{kernel}\marg{sub}} -\magvectsubscomps{p}{ball} -\end{tcblisting} +\begin{docCommand}{compvectsub}{\marg{kernel}\marg{component}\marg{sub}} +Isolates one component of a subscripted vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the component \compvectsub{p}{z}{ball} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{magvectsubscomps}{\marg{kernel}\marg{sub}} +Expression for a subscripted vector's magnitude in terms of symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the magnitude \magvectsubscomps{p}{ball} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\scompspossub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbolic components of a subscripted position - vector\\ \cs{scompspossub}\marg{sub}} -\scompspossub{ball} -\end{tcblisting} +\begin{docCommand}{scompspossub}{\marg{sub}} +Symbolic components of a subscripted position vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \scompspossub{ball} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\comppossub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=one component of a subscripted position vector\\ - \cs{comppossub}\marg{sub}\marg{comp}} -\comppossub{ball}{x} -\end{tcblisting} +\begin{docCommand}{comppossub}{\marg{component}\marg{sub}} +Isolates one component of a subscripted position vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the component \comppossub{x}{ball} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\dvectsub} -% \DescribeMacro{\Dvectsub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=differential of a subscripted vector\\ - \cs{dvectsub}\marg{kernel}\marg{sub} or \cs{Dvectsub}\marg{kernel}\marg{sub}} -\dvectsub{p}{ball} or \Dvectsub{p}{ball} -\end{tcblisting} +\begin{docCommand}{dvectsub}{\marg{kernel}\marg{sub}} +Differential of a subscripted vector. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the change \dvectsub{p}{ball} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\scompsdvectsub} -% \DescribeMacro{\scompsDvectsub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbolic components the differential of a - subscripted vector\\ \cs{scompsdvectsub}\marg{kernel}\marg{sub} or\\ - \cs{scompsDvectsub}\marg{kernel}\marg{sub}} -\scompsdvectsub{p}{ball} or \scompsDvectsub{p}{ball} -\end{tcblisting} +\begin{docCommand}{Dvectsub}{\marg{kernel}\marg{sub}} +Identical to \cs{dvectsub} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the change \Dvectsub{p}{ball} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\compdvectsub} -% \DescribeMacro{\compDvectsub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=one component of the differential of a - subscripted vector\\ \cs{compdvectsub}\marg{kernel}\marg{sub}\marg{comp} or\\ - \cs{compDvectsub}\marg{kernel}\marg{sub}\marg{comp}} -\compdvectsub{p}{ball}{y} or \compDvectsub{p}{ball}{y} -\end{tcblisting} +\begin{docCommand}{scompsdvectsub}{\marg{kernel}\marg{sub}} +Symbolic components of a subscripted vector's differential. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \scompsdvectsub{p}{ball} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\scompsdpossub} -% \DescribeMacro{\scompsDpossub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbolic components of the differential of a - subscripted position vector\\ \cs{scompsdpossub}\marg{sub} or\\ - \cs{scompsDpossub}\marg{sub}} -\scompsdpossub{ball} or \scompsDpossub{ball} -\end{tcblisting} +\begin{docCommand}{scompsDvectsub}{\marg{kernel}\marg{sub}} +Identical to \cs{scompsdvectsub} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \scompsDvectsub{p}{ball} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\compdpossub} -% \DescribeMacro{\compDpossub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=one component of the differential of a - subscripted position vector\\ \cs{compdpossub}\marg{sub}\marg{comp} or\\ - \cs{compDpossub}\marg{sub}\marg{comp}} -\compdpossub{ball}{x} or \compDpossub{ball}{x} -\end{tcblisting} +\begin{docCommand}{compdvectsub}{\marg{kernel}\marg{component}\marg{sub}} +Isolates one component of a subscripted vector's differential. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the component \compdvectsub{p}{y}{ball} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\dervectsub} -% \DescribeMacro{\Dervectsub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=derivative of a subscripted vector\\ - \cs{dervectsub}\marg{kernel}\marg{sub}\marg{indvar} or\\ - \cs{Dervectsub}\marg{kernel}\marg{sub}\marg{indvar}} -\dervectsub{p}{ball}{t} or \Dervectsub{p}{ball}{t} -\end{tcblisting} +\begin{docCommand}{compDvectsub}{\marg{kernel}\marg{component}\marg{sub}} +Identical to \cs{compdvectsub} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the component \compDvectsub{p}{y}{ball} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\dermagvectsub} -% \DescribeMacro{\Dermagvectsub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for the derivative of the magnitude of a - subscripted vector\\ \cs{dermagvectsub}\marg{kernel}\marg{sub}\marg{indvar} or\\ - \cs{Dermagvectsub}\marg{kernel}\marg{sub}\marg{indvar}} -\dermagvectsub{E}{ball}{t} or \Dermagvectsub{E}{ball}{t} -\end{tcblisting} +\begin{docCommand}{scompsdpossub}{\marg{sub}} +Symbolic components of a subscripted position vector's differential. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \scompsdpossub{ball} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\scompsdervectsub} -% \DescribeMacro{\scompsDervectsub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbolic components of the derivative of a - subscripted vector\\ \cs{scompsdervectsub}\marg{kernel}\marg{sub}\marg{indvar} or\\ - \cs{scompsDervectsub}\marg{kernel}\marg{sub}\marg{indvar}} -\scompsdervectsub{p}{ball}{t} or \scompsDervectsub{p}{ball}{t} -\end{tcblisting} +\begin{docCommand}{scompsDpossub}{\marg{sub}} +Identical to \cs{scopmsdpossub} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \scompsDpossub{ball} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\compdervectsub} -% \DescribeMacro{\compDervectsub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=one component of the derivative of a subscripted - vector\\ \cs{compdervectsub}\marg{kernel}\marg{sub}\marg{indvar}\marg{comp} or\\ - \cs{compDervectsub}\marg{kernel}\marg{sub}\marg{indvar}\marg{comp}} -\compdervectsub{p}{ball}{t}{y} or \compDervectsub{p}{ball}{t}{y} -\end{tcblisting} +\begin{docCommand}{compdpossub}{\marg{component}\marg{sub}} +Isolates one component of a subscripted position vector's differential. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the component \compdpossub{x}{ball} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\magdervectsub} -% \DescribeMacro{\magDervectsub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=magnitude of the derivative of a subscripted - vector\\ \cs{magdervectsub}\marg{kernel}\marg{sub}\marg{indvar} or\\ - \cs{magDervectsub}\marg{kernel}\marg{sub}\marg{indvar}} -\magdervectsub{p}{ball}{t} or \magDervectsub{p}{ball}{t} -\end{tcblisting} +\begin{docCommand}{compDpossub}{\marg{component}\marg{sub}} +Identical to \cs{compdpossub} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the component \compDpossub{x}{ball} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dervectsub}{\marg{kernel}\marg{sub}\marg{indvar}} +Symbol for derivative of a subscripted vector with respect to an independent variable. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \dervectsub{p}{ball}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Dervectsub}{\marg{kernel}\marg{sub}\marg{indvar}} +Identical to \cs{dervectsub} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \Dervectsub{p}{ball}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dermagvectsub}{\marg{kernel}\marg{sub}\marg{indvar}} +Symbol for the derivative of a subscripted vector's magnitude with respect to an independent +variable. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \dermagvectsub{E}{ball}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Dermagvectsub}{\marg{kernel}\marg{sub}\marg{indvar}} +Identical to \cs{dermagvectsub} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \Dermagvectsub{E}{ball}{t} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\scompsderpossub} -% \DescribeMacro{\scompsDerpossub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbolic components of the derivative of an indexed - position vector\\ \cs{scompsderpossub}\marg{sub}\marg{indvar} or\\ - \cs{scompsDerpossub}\marg{sub}\marg{indvar}} -\scompsderpossub{ball}{t} or \scompsDerpossub{ball}{t} -\end{tcblisting} +\begin{docCommand}{scompsdervectsub}{\marg{kernel}\marg{sub}\marg{indvar}} +Symbolic components of a subscripted vector's derivative with respect to an independent +variable. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \scompsdervectsub{p}{ball}{t} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\compderpossub} -% \DescribeMacro{\compDerpossub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=one component of the derivative of a subscripted - position vector\\ \cs{compderpossub}\marg{sub}\marg{indvar}\marg{comp} or\\ - \cs{compDerpossub}\marg{sub}\marg{indvar}\marg{comp}} -\compderpossub{ball}{t}{z} or \compDerpossub{ball}{t}{z} -\end{tcblisting} +\begin{docCommand}{scompsDervectsub}{\marg{kernel}\marg{sub}\marg{indvar}} +Identical to \cs{scompsdervectsub} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \scompsDervectsub{p}{ball}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{compdervectsub}{\marg{kernel}\marg{component}\marg{sub}\marg{indvar}} +Isolates one component of a subscripted vector's derivative with respect to an independent +variable. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the component \compdervectsub{p}{y}{ball}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{compDervectsub}{\marg{kernel}\marg{component}\marg{sub}\marg{indvar}} +Identical to \cs{compdervectsub} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the component \compDervectsub{p}{y}{ball}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{magdervectsub}{\marg{kernel}\marg{sub}\marg{indvar}} +Symbol for magnitude of a subscripted vector's derivative with respect to an independent +variable. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \magdervectsub{p}{ball}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{magDervectsub}{\marg{kernel}\marg{sub}\marg{indvar}} +Identical to \cs{magdervectsub} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the derivative \magDervectsub{p}{ball}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{scompsderpossub}{\marg{sub}\marg{indvar}} +Symbolic components of a subscripted position vector's derivative with respect to an +independent variable. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \scompsderpossub{ball}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{scompsDerpossub}{\marg{sub}\marg{indvar}} +Identical to \cs{scompsderpossub} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \scompsDerpossub{ball}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{compderpossub}{\marg{component}\marg{sub}\marg{indvar}} +Isolates one component of a subscripted position vector's derivative with respect to an +independent variable. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the component \compderpossub{y}{ball}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{compDerpossub}{\marg{component}\marg{sub}\marg{indvar}} +Identical to \cs{compderpossub} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +the component \compDerpossub{y}{ball}{t} +\end{dispExample*} %\iffalse %</example> %\fi % % \subsubsection{Relative Vectors} -% Sometimes we need the position, velocity, momentum, or force of/on one thing -% relative to/due to another thing. \\ +% Sometimes it's convenient to think of the position, velocity, momentum, or force of/on +% one thing relative to/due to another thing. +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{relpos}{\marg{sub}} +Symbol for relative position. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \relpos{12} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{relvel}{\marg{sub}} +Symbol for relative velocity. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \relvel{12} +\end{dispExample*} +%\iffalse +%</example> +%\fi % -% \DescribeMacro{\relpos} -% \DescribeMacro{\relvel} -% \DescribeMacro{\relmom} -% \DescribeMacro{\relfor} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=relative position or velocity or - momentum or force vectors for two objects\\ - \cs{relpos}\marg{sub} and \cs{relvel}\marg{sub} and \cs{relmom}\marg{sub}\\ - and \cs{relfor}\marg{sub}} -\relpos{12} and \relvel{12} and \relmom{12} and \relfor{12} -\end{tcblisting} +\begin{docCommand}{relmom}{\marg{sub}} +Symbol for relative momentum. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \relmom{12} +\end{dispExample*} %\iffalse %</example> %\fi % -% \subsubsection{Expressions Containing Dot Products} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{relfor}{\marg{sub}} +Symbol for relative force. +\end{docCommand} +\begin{dispExample*}{sidebyside} +the vector \relfor{12} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +% \subsubsection{Expressions Containing Dots} % Now we get to commands that will save you many, many keystrokes. All of the % naming conventions documented in earlier commands still apply. There are some % new ones though. Every time you see |dot| you should think \textit{dot product}. % When you see |dots| you should think \textit{dot product in terms of symbolic % components}. When you see |dote| you should think \textit{dot product % expanded as a sum}. These, along with the previous naming conventions, handle -% many dot product expressions. \\ +% many dot product expressions. +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectdotvect}{\marg{kernel1}\marg{kernel2}} +Symbol for dot of two vectors as a single symbol. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectdotvect{\vect{F}}{\vect{v}} +\end{dispExample*} +%\iffalse +%</example> +%\fi % -% \newpage -% \DescribeMacro{\vectdotvect} -% \DescribeMacro{\vectdotsvect} -% \DescribeMacro{\vectdotevect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=dot product of two vectors as a single symbol or with - symbolic components or as an expanded sum\\ - \cs{vectdotvect}\marg{vector1}\marg{vector2}\\ - \cs{vectdotsvect}\marg{kernel1}\marg{kernel2}\\ - \cs{vectdotevect}\marg{kernel1}\marg{kernel2}} -\vectdotvect{\vect{F}}{\vect{v}} \\ -\vectdotsvect{F}{v} \\ +\begin{docCommand}{vectdotsvect}{\marg{kernel1}\marg{kernel2}} +Symbol for dot of two vectors with symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectdotsvect{F}{v} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectdotevect}{\marg{kernel1}\marg{kernel2}} +Symbol for dot of two vectors as an expanded sum. +\end{docCommand} +\begin{dispExample*}{sidebyside} \vectdotevect{F}{v} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\vectdotspos} -% \DescribeMacro{\vectdotepos} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=dot product of a vector and a position vector with symbolic - components or as an expanded sum\\ - \cs{vectdotspos}\marg{kernel} or \cs{vectdotepos}\marg{kernel}} -\vectdotspos{F} \\ +\begin{docCommand}{vectdotspos}{\marg{kernel}} +Dot of a vector and a position vector with symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectdotspos{F} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectdotepos}{\marg{kernel}} +Dot of a vector and a position vector as an expanded sum. +\end{docCommand} +\begin{dispExample*}{sidebyside} \vectdotepos{F} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\vectdotsdvect} -% \DescribeMacro{\vectdotsDvect} -% \DescribeMacro{\vectdotedvect} -% \DescribeMacro{\vectdoteDvect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=dot product of a vector and the differential of a vector - with symbolic components or expanded as a sum \\ - \cs{vectdotsdvect}\marg{kernel1}\marg{kernel2}\\ - \cs{vectdotsDvect}\marg{kernel1}\marg{kernel2}\\ - \cs{vectdotedvect}\marg{kernel1}\marg{kernel2}\\ - \cs{vectdoteDvect}\marg{kernel1}\marg{kernel2}} -\vectdotsdvect{F}{r} or \vectdotsDvect{F}{r} \\ -\vectdotedvect{F}{r} or \vectdoteDvect{F}{r} \\ -\end{tcblisting} +\begin{docCommand}{vectdotsdvect}{\marg{kernel1}\marg{kernel2}} +Dot of a vector a vector's differential with symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectdotsdvect{F}{r} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\vectdotsdpos} -% \DescribeMacro{\vectdotsDpos} -% \DescribeMacro{\vectdotedpos} -% \DescribeMacro{\vectdoteDpos} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=dot product of a vector and the differential position - vector with symbolic components or expanded as a sum \\ - \cs{vectdotsdpos}\marg{kernel} or \cs{vectdotsDpos}\marg{kernel}\\ - \cs{vectdotedpos}\marg{kernel} or \cs{vectdoteDpos}\marg{kernel}} -\vectdotsdpos{F} or \vectdotsDpos{F} \\ -\vectdotedpos{F} or \vectdoteDpos{F} -\end{tcblisting} +\begin{docCommand}{vectdotsDvect}{\marg{kernel1}\marg{kernel2}} +Identical to \cs{vectdotsdvect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectdotsDvect{F}{r} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\vectsubdotsvectsub} -% \DescribeMacro{\vectsubdotevectsub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=dot product of two subscripted vectors with symbolic - components or expanded as a sum \\ - \cs{vectsubdotsvectsub}\marg{kernel1}\marg{sub1}\marg{kernel2}\marg{sub2}\\ - \cs{vectsubdotevectsub}\marg{kernel1}\marg{sub1}\marg{kernel2}\marg{sub2}} -\vectsubdotsvectsub{F}{grav}{r}{ball} \\ +\begin{docCommand}{vectdotedvect}{\marg{kernel1}\marg{kernel2}} +Dot of a vector a vector's differential as an expanded sum. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectdotedvect{F}{r} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectdoteDvect}{\marg{kernel1}\marg{kernel2}} +Identical to \cs{vectdotedvect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectdoteDvect{F}{r} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectdotsdpos}{\marg{kernel}} +Dot of a vector and a position vector's differential with symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectdotsdpos{F} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectdotsDpos}{\marg{kernel}} +Identical to \cs{vectdotsdpos} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectdotsDpos{F} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectdotedpos}{\marg{kernel}} +Dot of a vector and a position vector's differential as an expanded sum. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectdotedpos{F} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectdoteDpos}{\marg{kernel}} +Identical to \cs{vectdotedpos} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectdoteDpos{F} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectsubdotsvectsub}{\marg{kernel1}\marg{sub1}\marg{kernel2}\marg{sub2}} +Dot of two subscripted vectors with symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectsubdotsvectsub{F}{grav}{r}{ball} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectsubdotevectsub}{\marg{kernel1}\marg{sub1}\marg{kernel2}\marg{sub2}} +Dot of two subscripted vectors as an expanded sum. +\end{docCommand} +\begin{dispExample*}{sidebyside} \vectsubdotevectsub{F}{grav}{r}{ball} -\end{tcblisting} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectsubdotsdvectsub}{\marg{kernel1}\marg{sub1}\marg{kernel2}\marg{sub2}} +Dot of a subscripted vector and a subscripted vector's differential with symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectsubdotsdvectsub{A}{ball}{B}{car} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectsubdotsDvectsub}{\marg{kernel1}\marg{sub1}\marg{kernel2}\marg{sub2}} +Identical to \cs{vectsubdotsdvectsub} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectsubdotsDvectsub{A}{ball}{B}{car} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectsubdotedvectsub}{\marg{kernel1}\marg{sub1}\marg{kernel2}\marg{sub2}} +Dot of a subscripted vector and a subscripted vector's differential as an expanded sum. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectsubdotedvectsub{A}{ball}{B}{car} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\vectsubdotsdvectsub} -% \DescribeMacro{\vectsubdotsDvectsub} -% \DescribeMacro{\vectsubdotedvectsub} -% \DescribeMacro{\vectsubdoteDvectsub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=dot product of a subscripted vector and the differential - of a subscripted vector with symbolic components or expanded as a sum \\ - \cs{vectsubdotsdvectsub}\marg{kernel1}\marg{sub1}\marg{kernel2}\marg{sub2} \\ - \cs{vectsubdotsDvectsub}\marg{kernel1}\marg{sub1}\marg{kernel2}\marg{sub2} \\ - \cs{vectsubdotedvectsub}\marg{kernel1}\marg{sub1}\marg{kernel2}\marg{sub2} \\ - \cs{vectsubdoteDvectsub}\marg{kernel1}\marg{sub1}\marg{kernel2}\marg{sub2}} -\vectsubdotsdvectsub{A}{ball}{B}{car} \\ -\vectsubdotsDvectsub{A}{ball}{B}{car} \\ -\vectsubdotedvectsub{A}{ball}{B}{car} \\ +\begin{docCommand}{vectsubdoteDvectsub}{\marg{kernel1}\marg{sub1}\marg{kernel2}\marg{sub2}} +Identical to \cs{vectsubdotedvectsub} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} \vectsubdoteDvectsub{A}{ball}{B}{car} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\vectsubdotsdvect} -% \DescribeMacro{\vectsubdotsDvect} -% \DescribeMacro{\vectsubdotedvect} -% \DescribeMacro{\vectsubdoteDvect} -%\iffalse -%<*example> -%\fi -\begin{tcblisting}{title=dot product of a subscripted vector and the differential - of a vector with symbolic components or expanded as a sum \\ - \cs{vectsubdotsdvect}\marg{kernel1}\marg{sub1}\marg{kernel2}\\ - \cs{vectsubdotsDvect}\marg{kernel1}\marg{sub1}\marg{kernel2}\\ - \cs{vectsubdotedvect}\marg{kernel1}\marg{sub1}\marg{kernel2}\\ - \cs{vectsubdoteDvect}\marg{kernel1}\marg{sub1}\marg{kernel2}} -\vectsubdotsdvect{A}{ball}{B} \\ -\vectsubdotsDvect{A}{ball}{B} \\ -\vectsubdotedvect{A}{ball}{B} \\ +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectsubdotsdvect}{\marg{kernel1}\marg{sub1}\marg{kernel2}} +Dot of a subscripted vector and a vector's differential with symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectsubdotsdvect{A}{ball}{B} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectsubdotsDvect}{\marg{kernel1}\marg{sub1}\marg{kernel2}} +Identical to \cs{vectsubdotsdvect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectsubdotsDvect{A}{ball}{B} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectsubdotedvect}{\marg{kernel1}\marg{sub1}\marg{kernel2}} +Dot of a subscripted vector and a vector's differential as an expanded sum. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectsubdotedvect{A}{ball}{B} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectsubdoteDvect}{\marg{kernel1}\marg{sub1}\marg{kernel2}} +Identical to \cs{vectsubdotedvect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} \vectsubdoteDvect{A}{ball}{B} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\vectsubdotsdpos} -% \DescribeMacro{\vectsubdotsDpos} -% \DescribeMacro{\vectsubdotedpos} -% \DescribeMacro{\vectsubdoteDpos} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=dot product of a subscripted vector and a differential - position vector with symbolic components or expanded as a sum \\ - \cs{vectsubdotsdpos}\marg{kernel}\marg{sub} \\ - \cs{vectsubdotsDpos}\marg{kernel}\marg{sub} \\ - \cs{vectsubdotedpos}\marg{kernel}\marg{sub} \\ - \cs{vectsubdoteDpos}\marg{kernel}\marg{sub}} -\vectsubdotsdpos{A}{ball}\\ -\vectsubdotsDpos{A}{ball}\\ -\vectsubdotedpos{A}{ball}\\ +\begin{docCommand}{vectsubdotsdpos}{\marg{kernel}\marg{sub}} +Dot of a subscripted vector and a position vector's differential with symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectsubdotsdpos{A}{ball} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectsubdotsDpos}{\marg{kernel}\marg{sub}} +Identical to \cs{vectsubdotsdpos} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectsubdotsDpos{A}{ball} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectsubdotedpos}{\marg{kernel}\marg{sub}} +Dot of a subscripted vector and a position vector's differential as an expanded sum. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectsubdotedpos{A}{ball} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectsubdoteDpos}{\marg{kernel}\marg{sub}} +Identical to \cs{vectsubdotedpos} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} \vectsubdoteDpos{A}{ball} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\dervectdotsvect} -% \DescribeMacro{\Dervectdotsvect} -% \DescribeMacro{\dervectdotevect} -% \DescribeMacro{\Dervectdotevect} -%\iffalse -%<*example> -%\fi -\begin{tcblisting}{title=dot product of the derivative of a vector and a vector - with symbolic components or expanded as a sum\\ - \cs{dervectdotsvect}\marg{kernel1}\marg{indvar}\marg{kernel2}\\ - \cs{Dervectdotsvect}\marg{kernel1}\marg{indvar}\marg{kernel2}\\ - \cs{dervectdotevect}\marg{kernel1}\marg{indvar}\marg{kernel2}\\ - \cs{Dervectdotevect}\marg{kernel1}\marg{indvar}\marg{kernel2}} -\dervectdotsvect{A}{t}{B} \\ -\Dervectdotsvect{A}{t}{B} \\ -\dervectdotevect{A}{t}{B} \\ +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dervectdotsvect}{\marg{kernel1}\marg{indvar}\marg{kernel2}} +Dot of a vector's derivative and a vector with symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\dervectdotsvect{A}{t}{B} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Dervectdotsvect}{\marg{kernel1}\marg{indvar}\marg{kernel2}} +Identical to \cs{dervectdotsvect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Dervectdotsvect{A}{t}{B} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dervectdotevect}{\marg{kernel1}\marg{indvar}\marg{kernel2}} +Dot of a vector's derivative and a vector as an expanded sum. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\dervectdotevect{A}{t}{B} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Dervectdotevect}{\marg{kernel1}\marg{indvar}\marg{kernel2}} +Identical to \cs{dervectdotevect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} \Dervectdotevect{A}{t}{B} -\end{tcblisting} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectdotsdervect}{\marg{kernel1}\marg{kernel2}\marg{indvar}} +Dot of a vector and a vector's derivative with symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectdotsdervect{A}{B}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectdotsDervect}{\marg{kernel1}\marg{kernel2}\marg{indvar}} +Identical to \cs{vectdotsdervect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectdotsDervect{A}{B}{t} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\vectdotsdervect} -% \DescribeMacro{\vectdotsDervect} -% \DescribeMacro{\vectdotedervect} -% \DescribeMacro{\vectdoteDervect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=dot product of a vector and the derivative of a vector with \\ - symbolic components or expanded as a sum \\ - \cs{vectdotsdervect}\marg{kernel1}\marg{kernel2}\marg{indvar}\\ - \cs{vectdotsDervect}\marg{kernel1}\marg{kernel2}\marg{indvar}\\ - \cs{vectdotedervect}\marg{kernel1}\marg{kernel2}\marg{indvar}\\ - \cs{vectdoteDervect}\marg{kernel1}\marg{kernel2}\marg{indvar}} -\vectdotsdervect{A}{B}{t} \\ -\vectdotsDervect{A}{B}{t} \\ -\vectdotedervect{A}{B}{t} \\ +\begin{docCommand}{vectdotedervect}{\marg{kernel1}\marg{kernel2}\marg{indvar}} +Dot of a vector and a vector's derivative as an expanded sum. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectdotedervect{A}{B}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectdoteDervect}{\marg{kernel1}\marg{kernel2}\marg{indvar}} +Identical to \cs{vectdotedervect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} \vectdoteDervect{A}{B}{t} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\dervectdotspos} -% \DescribeMacro{\Dervectdotspos} -% \DescribeMacro{\dervectdotepos} -% \DescribeMacro{\Dervectdotepos} -%\iffalse -%<*example> -%\fi -\begin{tcblisting}{title=dot product of the derivative of a vector and a position - vector using symbolic components or expanded as a sum \\ - \cs{dervectdotspos}\marg{kernel}\marg{indvar}\\ - \cs{Dervectdotspos}\marg{kernel}\marg{indvar}\\ - \cs{dervectdotepos}\marg{kernel}\marg{indvar}\\ - \cs{Dervectdotepos}\marg{kernel}\marg{indvar}} -\dervectdotspos{A}{t} \\ -\Dervectdotspos{A}{t} \\ -\dervectdotepos{A}{t} \\ +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dervectdotspos}{\marg{kernel}\marg{indvar}} +Dot of a vector's derivative and a position vector with symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\dervectdotspos{A}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Dervectdotspos}{\marg{kernel}\marg{indvar}} +Identical to \cs{dervectdotspos} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Dervectdotspos{A}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dervectdotepos}{\marg{kernel}\marg{indvar}} +Dot of a vector's derivative and a position vector as an expanded sum. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\dervectdotepos{A}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Dervectdotepos}{\marg{kernel}\marg{indvar}} +Identical to \cs{dervectdotepos} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} \Dervectdotepos{A}{t} -\end{tcblisting} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dervectdotsdvect}{\marg{kernel1}\marg{indvar}\marg{kernel2}} +Dot of a vector's derivative and a vector's differential with symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\dervectdotsdvect{A}{t}{B} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{DervectdotsDvect}{\marg{kernel1}\marg{indvar}\marg{kernel2}} +Identical to \cs{dervectdotsdvect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\DervectdotsDvect{A}{t}{B} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dervectdotedvect}{\marg{kernel1}\marg{indvar}\marg{kernel2}} +Dot of a vector's derivative and a vector's differential as an expanded sum. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\dervectdotedvect{A}{t}{B} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\dervectdotsdvect} -% \DescribeMacro{\DervectdotsDvect} -% \DescribeMacro{\dervectdotedvect} -% \DescribeMacro{\DervectdoteDvect} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=dot product of the derivative of a vector and the - differential of a vector using symbolic components or expanded as a sum \\ - \cs{dervectdotsdvect}\marg{kernel1}\marg{indvar}\marg{kernel2}\\ - \cs{DervectdotsDvect}\marg{kernel1}\marg{indvar}\marg{kernel2}\\ - \cs{dervectdotedvect}\marg{kernel1}\marg{indvar}\marg{kernel2}\\ - \cs{DervectdoteDvect}\marg{kernel1}\marg{indvar}\marg{kernel2}} -\dervectdotsdvect{A}{t}{B} \\ -\DervectdotsDvect{A}{t}{B} \\ -\dervectdotedvect{A}{t}{B} \\ +\begin{docCommand}{DervectdoteDvect}{\marg{kernel1}\marg{indvar}\marg{kernel2}} +Identical to \cs{dervectdotedvect} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} \DervectdoteDvect{A}{t}{B} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\dervectdotsdpos} -% \DescribeMacro{\DervectdotsDpos} -% \DescribeMacro{\dervectdotedpos} -% \DescribeMacro{\DervectdoteDpos} -%\iffalse -%<*example> -%\fi -\begin{tcblisting}{title=dot product of the derivative of a vector and the - differential of a position vector using symbolic components or expanded as a sum \\ - \cs{dervectdotsdpos}\marg{kernel}\marg{indvar}\\ - \cs{DervectdotsDpos}\marg{kernel}\marg{indvar}\\ - \cs{dervectdotedpos}\marg{kernel}\marg{indvar}\\ - \cs{DervectdoteDpos}\marg{kernel}\marg{indvar}} -\dervectdotsdpos{A}{t} \\ -\DervectdotsDpos{A}{t} \\ -\dervectdotedpos{A}{t} \\ +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dervectdotsdpos}{\marg{kernel}\marg{indvar}} +Dot of a vector's derivative and a position vector's differential with symbolic components. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\dervectdotsdpos{A}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{DervectdotsDpos}{\marg{kernel}\marg{indvar}} +Identical to \cs{dervectdotsdpos} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\DervectdotsDpos{A}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dervectdotedpos}{\marg{kernel}\marg{indvar}} +Dot of a vector's derivative and a position vector's differential as an expanded sum. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\dervectdotedpos{A}{t} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{DervectdoteDpos}{\marg{kernel}\marg{indvar}} +Identical to \cs{dervectdotedpos} but uses \(\Delta\). +\end{docCommand} +\begin{dispExample*}{sidebyside} \DervectdoteDpos{A}{t} -\end{tcblisting} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +% \subsubsection{Expressions Containing Crosses} +% All of the naming conventions documented in earlier commands still apply. +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{vectcrossvect}{\marg{kernel1}\marg{kernel2}} +Cross of two vectors. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\vectcrossvect{\vect{r}}{\vect{p}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{ltriplecross}{\marg{kernel1}\marg{kernel2}\marg{kernel3}} +Symbol for left associated triple cross product. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\ltriplecross{\vect{A}}{\vect{B}}{\vect{C}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{rtriplecross}{\marg{kernel1}\marg{kernel2}\marg{kernel3}} +Symbol for right associated triple cross product. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\rtriplecross{\vect{A}}{\vect{B}}{\vect{C}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{ltriplescalar}{\marg{kernel1}\marg{kernel2}\marg{kernel3}} +Symbol for left associated triple scalar product. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\ltriplescalar{\vect{A}}{\vect{B}}{\vect{C}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{rtriplescalar}{\marg{kernel1}\marg{kernel2}\marg{kernel3}} +Symbol for right associated triple scalar product. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\rtriplescalar{\vect{A}}{\vect{B}}{\vect{C}} +\end{dispExample*} %\iffalse %</example> %\fi % % \subsubsection{Basis Vectors and Bivectors} % If you use geometric algebra or tensors, eventually you will need symbols for -% basis vectors and basis bivectors. \\ +% basis vectors and basis bivectors. % -% \DescribeMacro{\ezero} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=basis vectors with lower indices 0 to 4 - (use \cs{ek} or \cs{e} for indices > 4)\\ \cs{zero}} -\ezero \(\cdots\) \efour -\end{tcblisting} +\begin{docCommand}{ezero}{} +Symbols for basis vectors with lower indices up to 4. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\ezero \eone \etwo \ethree \efour +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\uezero} -%\if false +%\iffalse %<*example> %\fi -\begin{tcblisting}{title=normalized basis vectors with lower - indices 0 to 4 (use \cs{uek} or \cs{ue} for indices > 4)\\ \cs{uezero}} -\uezero \(\cdots\) \uefour -\end{tcblisting} +\begin{docCommand}{uezero}{} +Symbols for normalized basis vectors with lower indices up to 4. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\uezero \ueone \uetwo \uethree \uefour +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\ezerozero} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=basis bivectors with lower indices - (use \cs{ek} or \cs{e} for indices > 4)\\ \cs{ezerozero}} -\ezerozero \(\cdots\) \efourfour -\end{tcblisting} +\begin{docCommand}{ezerozero}{} +Symbols for basis bivectors with lower indices up to 4. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\ezerozero \ezeroone \ezerotwo \ezerothree \ezerofour up to \efourfour +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\euzero} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=basis vectors with upper indices 0 to 4 - (use \cs{euk} or \cs{eu} for indices > 4)\\ \cs{euzero}} -\euzero \(\cdots\) \eufour -\end{tcblisting} +\begin{docCommand}{euzero}{} +Symbols for basis vectors with upper indices up to 4. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\euzero \euone \eutwo \euthree \eufour +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\euzerozero} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=basis bivectors with upper indices - (use \cs{euk} or \cs{eu} for indices > 4)\\ \cs{euzerozero}} -\euzerozero \(\cdots\) \eufourfour -\end{tcblisting} +\begin{docCommand}{euzerozero}{} +Symbols for basis bivectors with upper indices up to 4. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\euzerozero \euzeroone \euzerotwo \euzerothree \euzerofour up to \eufourfour +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\gzero} -% \DescribeMacro{\guzero} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=basis vectors with \(\gamma\) as the kernel - (use \cs{guk} or \cs{gu} for indices > 4)\\ \cs{gzero} or \cs{guzero}} -\gzero \(\cdots\) \gfour \\ -\guzero \(\cdots\) \gufour -\end{tcblisting} +\begin{docCommand}{gzero}{} +Symbols for basis vectors, with \(\gamma\) as the kernel, with lower indices up to 4. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\gzero \gone \gtwo \gthree \gfour +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\gzerozero} -% \DescribeMacro{\guzerozero} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=basis bivectors with \(\gamma\) as the kernel - (use \cs{guk} or \cs{gu} for indices > 4)\\ \cs{gzerozero} or \cs{guzerozero}} -\gzerozero \(\cdots\) \gfourfour \\ -\guzerozero \(\cdots\) \gufourfour -\end{tcblisting} +\begin{docCommand}{guzero}{} +Symbols for basis vectors, with \(\gamma\) as the kernel, with upper indices up to 4. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\guzero \guone \gutwo \guthree \gufour +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\mivector} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=generic command for vectors formatted as in \mi \\ - \cs{mivector}\oarg{printeddelimiter}\marg{commadelimitedlistofcomps}\oarg{unit}} -\begin{align*} - \msub{u}{\mu} &= \mivector{\ezero,\eone,\etwo,\ethree} \\ - \vect{v} &= \mivector{1,3,5}[\m\per\s] \\ - \vect{E} &= \mivector{\oofpezmathsymbol \frac{Q}{\msup{x}{2}},0,0} -\end{align*} -\end{tcblisting} +\begin{docCommand}{gzerozero}{} +Symbols for basis bivectors, with \(\gamma\) as the kernel, with lower indices up to 4. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\gzerozero \gzeroone \gzerotwo \gzerothree \gzerofour up to \gfourfour +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\colvector} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=typesets column vectors\\ - \cs{colvect}\marg{commadelimitedlistofcomps}} -\colvector{\msup{x}{0},\msup{x}{1},\msup{x}{2},\msup{x}{3}} -\end{tcblisting} +\begin{docCommand}{guzerozero}{} +Symbols for basis bivectors, with \(\gamma\) as the kernel, with upper indices up to 4. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\guzerozero \guzeroone \guzerotwo \guzerothree \guzerofour up to \gufourfour +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\rowvector} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=typesets row vectors\\ - \cs{rowvect}\marg{commadelimitedlistofcomps}} -\rowvector{\msup{x}{0},\msup{x}{1},\msup{x}{2},\msup{x}{3}} -\end{tcblisting} +\begin{docCommand}{colvector}{\marg{commadelimitedlistofcomps}} +Typesets column vectors. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\colvector{\msup{x}{0},\msup{x}{1},\msup{x}{2}, +\msup{x}{3}} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\scompscvect} -% \ntodo[Suggestion]{Allow for superscripts.} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=typesets symbolic components of column 3- or 4-vectors -(use any nonzero value for the optional argument to typeset a 4-vector\\ - \cs{scompscvect}\oarg{anynonzero}\marg{kernel}} +\begin{docCommand}{rowvector}{\marg{commadelimitedlistofcomps}} +Typesets row vectors. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\rowvector{\msup{x}{0},\msup{x}{1},\msup{x}{2}, +\msup{x}{3}} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{scompscvect}{\oarg{anynonzero}\marg{kernel}} +\ntodo[Suggestion]{Allow for superscripts.}Typesets symbolic components of column 3- or +4-vectors (use any nonzero value for the optional argument to typeset a 4-vector). +\end{docCommand} +\begin{dispExample*}{sidebyside} \begin{align*} - \vect{p} &= \scompscvect{p} \\ - \vect{p} &= \scompscvect[4]{p} +\vect{p} &= \scompscvect{p} \\ +\vect{p} &= \scompscvect[4]{p} \end{align*} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\scompsrvect} -% \ntodo[Suggestion]{Allow for superscripts.} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=typesets symbolic components of row 3- or 4-vectors -(use any nonzero value for the optional argument to typeset a 4-vector\\ - \cs{scompscvect}\oarg{anynonzero}\marg{kernel}} +\begin{docCommand}{scompsrvect}{\oarg{anynonzero}\marg{kernel}} +\ntodo[Suggestion]{Allow for superscripts.}Typesets symbolic components of row 3- or +4-vectors (use any nonzero value for the optional argument to typeset a 4-vector). +\end{docCommand} +\begin{dispExample*}{sidebyside} \begin{align*} - \vect{p} &= \scompsrvect{p} \\ - \vect{p} &= \scompsrvect[4]{p} +\vect{p} &= \scompsrvect{p} \\ +\vect{p} &= \scompsrvect[4]{p} \end{align*} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage % \subsection{Physical Constants} % \subsubsection{Defining Physical Constants} -% \DescribeMacro{\newphysicsconstant} +% %\iffalse %<*example> %\fi -\begin{tcblisting}{listing only,title=define a physical constant\\ - \cs{newphysicsconstant}\marg{newname}\marg{symbol}\marg{value}\marg{\baseunits} - \oarg{\drvdunits}\oarg{\tradunits}} +\begin{docCommand}{newphysicsconstant} + {\marg{newname}\marg{symbol}\marg{value}\marg{\baseunits}\oarg{\drvdunits}\oarg{\tradunits}} +Defines a new physical constant. +\end{docCommand} +\begin{dispListing} Here is how \oofpez (the Coulomb constant) is defined internally. \newphysicsconstant{oofpez} {\ensuremath{\frac{1}{\phantom{_o}4\pi\ssub{\epsilon}{o}}}} @@ -1918,7 +3939,7 @@ Here is how \oofpez (the Coulomb constant) is defined internally. {\ensuremath{\m\cubed\usk\kg\usk\s^{-4}\usk\A\rpsquared}} [\m\per\farad] [\newton\usk\m\squared\per\coulomb\squared] -\end{tcblisting} +\end{dispListing} %\iffalse %</example> %\fi @@ -1947,720 +3968,1080 @@ Here is how \oofpez (the Coulomb constant) is defined internally. % None of these commands takes any arguments. % % \subsubsection{Predefined Physical Constants} -% \DescribeMacro{\oofpez} +% %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Coulomb constant\\ \cs{oofpez}} +\begin{docCommand}{oofpez}{} +Coulomb constant. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\oofpezmathsymbol \approx \oofpez\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\oofpezcs} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=alternate form for Coulomb constant\\ \cs{oofpezcs}} -\(\oofpezcsmathsymbol = \oofpezcs\) -\end{tcblisting} +\begin{docCommand}{oofpezcs}{} +Alternate form of Coulomb constant. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\oofpezcsmathsymbol \approx \oofpezcs\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\epsz} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=vacuum permittivity\\ \cs{epsz}} -\(\epszmathsymbol = \epsz\) -\end{tcblisting} +\begin{docCommand}{vacuumpermittivity}{} +Vacuum permittivity. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\vacuumpermittivitymathsymbol \approx \vacuumpermittivity\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\mzofp} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Biot-Savart constant\\ \cs{mzofp}} -\(\mzofpmathsymbol = \mzofp\) -\end{tcblisting} +\begin{docCommand}{mzofp}{} +Biot-Savart constant. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\mzofpmathsymbol \approx \mzofp\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\muz} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=vacuum permeability\\ \cs{muz}} -\(\muzmathsymbol = \muz\) -\end{tcblisting} +\begin{docCommand}{vacuumpermeability}{} +Vacuum permeability. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\vacuumpermeabilitymathsymbol \approx \vacuumpermeability\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\kboltz} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Boltzmann constant\\ \cs{kboltz}} -\(\kboltzmathsymbol \approx \kboltz\) -\end{tcblisting} +\begin{docCommand}{boltzmann}{} +Boltzmann constant. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\boltzmannmathsymbol \approx \boltzmann\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\kboltznev} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=anternate Boltzmann constant\\ \cs{kboltznev}} -\(\kboltzmathsymbol \approx \kboltznev\) -\end{tcblisting} +\begin{docCommand}{boltzmanninev}{} +Alternate form of Boltlzmann constant. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\boltzmanninevmathsymbol \approx \boltzmanninev\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\stefan} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Stefan-Boltzmann constant\\ \cs{stefan}} -\(\stefanmathsymbol \approx \stefan\) -\end{tcblisting} +\begin{docCommand}{stefan}{} +Stefan-Boltzmann constant. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\stefanboltzmannmathsymbol \approx \stefanboltzmann\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\planck} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Planck constant\\ \cs{planck}} +\begin{docCommand}{planck}{} +Planck constant. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\planckmathsymbol \approx \planck\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\plancknev} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=alternate Planck constant\\ \cs{plancknev}} -\(\planckmathsymbol \approx \plancknev\) -\end{tcblisting} +\begin{docCommand}{planckinev}{} +Alternate form of Planck constant. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\planckmathsymbol \approx \planckinev\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\planckbar} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=reduced Planck constant (Dirac constant)\\ \cs{planckbar}} +\begin{docCommand}{planckbar}{} +Reduced Planck constant (Dirac constant). +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\planckbarmathsymbol \approx \planckbar\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\planckbarnev} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=alternate reduced Planck constant (Dirac constant)\\ - \cs{planckbarnev}} -\(\planckbarmathsymbol \approx \planckbarnev\) -\end{tcblisting} +\begin{docCommand}{planckbarinev}{} +Alternate form of reduced Planck constant (Dirac constant). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\planckbarmathsymbol \approx \planckbarinev\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Navogadro} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Avogadro constant\\ \cs{Navogadro}} -\(\planckbarmathsymbol \approx \Navogadro\) -\end{tcblisting} +\begin{docCommand}{planckc}{} +Planck constant times light speed. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\planckcmathsymbol \approx \planckc\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\bigG} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=gravitational constant\\ \cs{bigG}} -\(\bigGmathsymbol \approx \bigG\) -\end{tcblisting} +\begin{docCommand}{planckcinev}{} +Alternate form of Planck constant times light speed. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\planckcinevmathsymbol \approx \planckcinev\) +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{rydberg}{} +Rydberg constant. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\rydbergmathsymbol \approx \rydberg\) +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{bohrradius}{} +Bohr radius. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\bohrradiusmathsymbol \approx \bohrradius\) +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{finestructure}{} +Fine structure constant. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\finestructuremathsymbol \approx \finestructure\) +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{avogadro}{} +Avogadro constant. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\avogadromathsymbol \approx \avogadro\) +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{universalgrav}{} +Universal gravitational constant. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\universalgravmathsymbol \approx \universalgrav\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\littleg} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Earth's surface gravitational field strength\\ \cs{littleg}} -\(\littlegmathsymbol \approx \littleg\) -\end{tcblisting} +\begin{docCommand}{surfacegravfield}{} +Earth's surface gravitational field strength. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\surfacegravfieldmathsymbol \approx \surfacegravfield\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\clight} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=magnitude of light's velocity\\ \cs{clight}} +\begin{docCommand}{clight}{} +Magnitude of light's velocity (photon constant). +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\clightmathsymbol \approx \clight\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\clightnfn} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=magnitude of light's velocity (alternate)\\ \cs{clightnfn}} -\(\clightnfn\) -\end{tcblisting} +\begin{docCommand}{clightinfeet}{} +Alternate of magnitude of light's velocity (photon constant). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\clightinfeetmathsymbol \approx \clightinfeet\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Ratom} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=approximate atomic radius\\ \cs{Ratom}} +\begin{docCommand}{Ratom}{} +Approximate atomic radius. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\Ratommathsymbol \approx \Ratom\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Mproton} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=proton's mass\\ \cs{Mproton}} +\begin{docCommand}{Mproton}{} +Proton mass. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\Mprotonmathsymbol \approx \Mproton\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\Mneutron} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=neutron's mass\\ \cs{Mneutron}} +\begin{docCommand}{Mneutron}{} +Neutron mass. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\Mneutronmathsymbol \approx \Mneutron\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Mhydrogen} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=hydrogen atom's mass\\ \cs{Mhydrogen}} +\begin{docCommand}{Mhydrogen}{} +Hydrogen atom mass. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\Mhydrogenmathsymbol \approx \Mhydrogen\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Melectron} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=electron's mass\\ \cs{Melectron}} +\begin{docCommand}{Melectron}{} +Electron mass. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\Melectronmathsymbol \approx \Melectron\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\echarge} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=elementary charge quantum\\ \cs{echarge}} +\begin{docCommand}{echarge}{} +Elementary charge quantum. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\echargemathsymbol \approx \echarge\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Qelectron} -% \DescribeMacro{\qelectron} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=electron's charge\\ \cs{Qelectron} or \cs{qelectron}} -\(\qelectronmathsymbol \approx \qelectron\) -\end{tcblisting} +\begin{docCommand}{Qelectron}{} +Electron charge. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\Qelectronmathsymbol \approx \Qelectron\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\Qproton} -% \DescribeMacro{\qproton} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=proton's charge\\ \cs{Qproton} or \cs{qproton}} -\(\qprotonmathsymbol \approx \qproton\) -\end{tcblisting} +\begin{docCommand}{qelectron}{} +Alias for \cs{Qelectron}. +\end{docCommand} %\iffalse %</example> %\fi % -% \DescribeMacro{\MEarth} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Earth's mass\\ \cs{MEarth}} +\begin{docCommand}{Qproton}{} +Proton charge. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\Qprotonmathsymbol \approx \Qproton\) +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{qproton}{} +Alias for \cs{Qproton}. +\end{docCommand} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{MEarth}{} +Earth's mass. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\MEarthmathsymbol \approx \MEarth\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\MMoon} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Moon's mass\\ \cs{MMoon}} +\begin{docCommand}{MMoon}{} +Moon's mass. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\MMoonmathsymbol \approx \MMoon\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\MSun} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Sun's mass\\ \cs{MSun}} +\begin{docCommand}{MSun}{} +Sun's mass. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\MSunmathsymbol \approx \MSun\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\REarth} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Earth's radius\\ \cs{REarth}} +\begin{docCommand}{REarth}{} +Earth's radius. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\REarthmathsymbol \approx \REarth\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\RMoon} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Moon's radius\\ \cs{RMoon}} +\begin{docCommand}{RMoon}{} +Moon's radius. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\RMoonmathsymbol \approx \RMoon\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\RSun} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Sun's radius\\ \cs{RSun}} +\begin{docCommand}{RSun}{} +Sun's radius. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\RSunmathsymbol \approx \RSun\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\ESdist} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Sun-Earth distance or Earth-Sun distance\\ \cs{ESdist} or - \cs{SEdist}} +\begin{docCommand}{ESdist}{} +Earth-Sun distance. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\ESdistmathsymbol \approx \SEdist\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\EMdist} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Earth-Moon distance or Moon-Earth distance\\ \cs{EMdist} or - \cs{MEdist}} +\begin{docCommand}{SEdist}{} +Alias for \cs{ESdist}. +\end{docCommand} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{EMdist}{} +Earth-Moon distance. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\EMdistmathsymbol \approx \EMdist\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \subsection{Astronomical Constants and Quantities} -% \DescribeMacro{\lightyear} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=various ways of denoting light years and years and parsecs - as units} -\lightyear\ or \Lightyear\ or \cyear\ or \cyr\ or \yyear\ or \yr \\ -\parsec -\end{tcblisting} +\begin{docCommand}{MEdist}{} +Alias for \cs{EMdist}. +\end{docCommand} %\iffalse %</example> %\fi % -% \DescribeMacro{\LSun} +% \subsection{Astronomical Constants and Quantities} +% %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Sun's luminosity\\ - \cs{LSun}} +\begin{docCommand}{LSun}{} +Sun's luminosity. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\LSunmathsymbol \approx \LSun\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\TSun} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Sun's effective temperature\\ - \cs{TSun}} +\begin{docCommand}{TSun}{} +Sun's effective temperature. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\TSunmathsymbol \approx \TSun\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\MagSun} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Sun's absolute magnitude\\ - \cs{MagSun}} +\begin{docCommand}{MagSun}{} +Sun's absolute magnitude. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\MagSunmathsymbol \approx \MagSun\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\magSun} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Sun's apparent magnitude\\ - \cs{magSun}} +\begin{docCommand}{magSun}{} +Sun's apparent magnitude. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\magSunmathsymbol \approx \magSun\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\Lstar} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=stellar luminosity\\ - \cs{Lstar}\oarg{object}} -\Lstar or \Lstar[Sirius] or \Lsolar -\end{tcblisting} +\begin{docCommand}{Lstar}{\oarg{object}} +Symbol for stellar luminosity. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Lstar \Lstar[Sirius] +\end{dispExample*} +%\iffalse +%</example> +%\fi +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Lsolar}{} +Symbol for solar luminosity as a unit. Really just an alias for |\Lstar[\(\odot\)]|. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Lsolar +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Tstar} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=stellar and solar temperature\\ - \cs{Tstar}\oarg{object}} -\Tstar or \Tstar[Sirius] or \Tsolar -\end{tcblisting} +\begin{docCommand}{Tstar}{\oarg{object}} +Symbol for stellar temperature. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Tstar \Tstar[Sirius] +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Rstar} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=stellar and solar radius\\ - \cs{Rstar}\oarg{object}} -\Rstar or \Rstar[Sirius] or \Rsolar -\end{tcblisting} +\begin{docCommand}{Tsolar}{} +Symbol for solar temperature as a unit. Really just an alias for |\Tstar[\(\odot\)]|. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Tsolar +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Mstar} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=stellar and solar mass\\ - \cs{Mstar}\oarg{object}} -\Mstar or \Mstar[Sirius] or \Msolar -\end{tcblisting} +\begin{docCommand}{Rstar}{\oarg{object}} +Symbol for stellar radius. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Rstar \Rstar[Sirius] +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Fstar} -% \DescribeMacro{\fstar} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=stellar and solar flux\\ - \cs{Fstar}\oarg{object} or \cs{fstar}\oarg{object}} -\Fstar or \Fstar[Sirius] or \FSun or \Fsolar or \fstar or -\fstar[Sirius] or \fSun or \fsolar -\end{tcblisting} +\begin{docCommand}{Rsolar}{} +Symbol for solar radius as a unit. Really just an alias for |\Rstar[\(\odot\)]|. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Rsolar +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Mstar}{\oarg{object}} +Symbol for stellar mass. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Mstar \Mstar[Sirius] +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Msolar}{} +Symbol for solar mass as a unit. Really just an alias for |\Mstar[\(\odot\)]|. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Msolar +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Fstar}{\oarg{object}} +Symbol for stellar flux. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Fstar \Fstar[Sirius] +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Fsolar}{} +Symbol for solar flux as a unit. Really just an alias for |\Fstar[\(\odot\)]|. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Fsolar +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{fstar}{} +Alias for \cs{Fstar}. +\end{docCommand} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{fsolar}{} +Alias for \cs{fsolar}. +\end{docCommand} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Magstar}{\oarg{object}} +Symbol for stellar absolute magnitude. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Magstar \Magstar[Sirius] +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\Magstar} -% \DescribeMacro{\magstar} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=stellar and solar magnitude\\ - \cs{Magstar}\oarg{object} or \cs{magstar}\oarg{object}} -\Magstar or \Magstar[Sirius] or \magstar or \magstar[Sirius] or -\Magsolar or \magsolar -\end{tcblisting} +\begin{docCommand}{Magsolar}{} +Symbol for solar absolute magnitude as a unit. Really just an alias for |\Magstar[\(\odot\)]|. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Magsolar +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Dstar} -% \DescribeMacro{\dstar} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=stellar and solar distance (or diameter)\\ - \cs{Dstar}\oarg{object} or \cs{dstar}\oarg{object}} -\Dstar or \Dstar[Sirius] or \Dsolar or \dstar or \dstar[Sirius] or -\dsolar -\end{tcblisting} +\begin{docCommand}{magstar}{\oarg{object}} +Symbol for stellar apparent magnitude. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\magstar \magstar[Sirius] +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{magsolar}{} +Symbol for solar apparent magnitude as a unit. Really just an alias for |\magstar[\(\odot\)]|. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\magsolar +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Dstar}{\oarg{object}} +Symbol for stellar distance. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Dstar \Dstar[Sirius] +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Dsolar}{} +Symbol for solar distance as a unit. Really just an alias for |\Dstar[\(\odot\)]|. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Dsolar +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dstar}{} +Alias for \cs{Dstar} that uses a lower case d. +\end{docCommand} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dsolar}{} +Alias for \cs{Dsolar} that uses a lower case d. +\end{docCommand} %\iffalse %</example> %\fi % % \subsection{Frequently Used Fractions} % -% \DescribeMacro{\onehalf} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=small fractions with numerator 1\\ - \cs{onehalf}} +\begin{docCommand}{onehalf}{} +Small fractions with numerator 1 and denominators up to 10. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\onehalf \cdots \onetenth\) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\twothirds} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=small fractions with numerator 2\\ - \cs{twothirds}} -\(\twothirds \cdots \twoninths\) -\end{tcblisting} +\begin{docCommand}{twooneths}{} +Small fractions with numerator 2 and denominators up to 10. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\twooneths \cdots \twotenths\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\threehalves} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=small fractions with numerator 3\\ - \cs{threehalves}} -\(\threehalves \cdots \threetenths\) -\end{tcblisting} +\begin{docCommand}{threeoneths}{} +Small fractions with numerator 3 and denominators up to 10. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\threeoneths \cdots \threetenths\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\fourthirds} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=small fractions with numerator 4\\ - \cs{fourthirds}} -\fourthirds -\end{tcblisting} +\begin{docCommand}{fouroneths}{\marg{magnitude}} +Small fractions with numerator 4 and denominators up to 10. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\(\fouroneths \cdots \fourtenths\) +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage % \subsection{Calculus} % -% \DescribeMacro{\dx} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=properly typesets variables of integration (the d should - not be in italics and should be properly spaced relative to the integrand)\\ - \cs{dx}\marg{integrationvariable}} -\[ \int y^{2}\dx{y} \] -\end{tcblisting} +\begin{docCommand}{dx}{\marg{variable}} +Properly typesets variables of integration (the d should not be in italics and should +be properly spaced relative to the integrand). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \dx{y} \) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\evalfromto} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=properly typesets evaluation of definite integrals\\ - \cs{evalfromto}\marg{antiderivative}\marg{lowerlimit}\marg{upperlimit}} -\[ \evalfromto{\onethird y^3}{0}{3} \] -\end{tcblisting} +\begin{docCommand}{evalfromto}{\marg{antiderivative}\marg{lower}\marg{upper}} +Properly typesets the evaluation of definite integrals. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \evalfromto{\onethird y^3}{0}{3} \) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\evalat} -% \ntodo[Suggestion]{Combine with \cs{evaluatedat}?} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=properly typesets quantities evaluated at a - particular point or value\\ \cs{evalat}\marg{expression}\marg{evaluationpoint}} -\[ \evalat{\dbydt[x]}{t=1} \] -\end{tcblisting} +\begin{docCommand}{evalat}{\marg{expression}\marg{evaluationpoint}} +Properly typesets quantities evaluated at a particular point or value. +\ntodo[Suggestion]{Combine with \cs{evaluatedat}?} +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \evalat{\dbydt[x]}{t=1} \) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\evaluatedat} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=properly indicates evaluation at a particular point or - value without specifying the quantity\\ - \cs{evaluatedat}\marg{evaluationpoint}} -\[ \mbox{LMST}\evaluatedat{\longitude{0}} \] -\end{tcblisting} +\begin{docCommand}{evaluatedat}{\marg{evaluationpoint}} +Properly indicates evaluation at a particular point or value without specifying the quantity. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \mbox{LMST}\evaluatedat{\longitude{0}} \) +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\integral} -% \DescribeMacro{\Integral} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=typesets indefinite and definite integrals\\ - \cs{integral}\oarg{lowerlimit}\oarg{upperlimit}\marg{integrand}\marg{variable}\\ - \cs{Integral}\oarg{lowerlimit}\oarg{upperlimit}\marg{integrand}\marg{variable}} +\begin{docCommand}{integral}{\oarg{lower}\oarg{upper}\marg{integrand}\marg{var}} +Typesets indefinite and definite integrals. +\end{docCommand} +\begin{dispExample*}{sidebyside} \[ \integral{y^2}{y} \] \[ \integral[0][3]{y^2}{y} \] +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{Integral}{\oarg{lower}\oarg{upper}\marg{integrand}\marg{var}} +Typesets indefinite and definite integrals. +\end{docCommand} +\begin{dispExample*}{sidebyside} \[ \Integral{y^2}{y} \] \[ \Integral[0][3]{y^2}{y} \] -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\opensurfintegral} -% \DescribeMacro{\opensurfIntegral} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=integral over an open surface of the normal component of - a vector field\\ - \cs{opensurfintegral}\marg{surfacename}\marg{vectorname}\\ - \cs{opensurfIntegral}\marg{surfacename}\marg{vectorname}} +\begin{docCommand}{opensurfintegral}{\marg{surfacename}\marg{vectorname}} +Integral over an open surface of the normal component of a vector field. +\end{docCommand} +\begin{dispExample*}{sidebyside} \[ \opensurfintegral{S}{E} \] +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{opensurfIntegral}{\marg{surfacename}\marg{vectorname}} +Integral over an open surface of the normal component of a vector field. +\end{docCommand} +\begin{dispExample*}{sidebyside} \[ \opensurfIntegral{S}{E} \] -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\closedsurfintegral} -% \DescribeMacro{\closedsurfIntegral} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=integral over a closed surface of the normal component of - a vector field\\ - \cs{closedsurfintegral}\marg{surfacename}\marg{vectorname}\\ - \cs{closedsurfIntegral}\marg{surfacename}\marg{vectorname}} +\begin{docCommand}{closedsurfintegral}{\marg{surfacename}\marg{vectorname}} +Integral over a closed surface of the normal component of a vector field. +\end{docCommand} +\begin{dispExample*}{sidebyside} \[ \closedsurfintegral{S}{E} \] +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{closedsurfIntegral}{\marg{surfacename}\marg{vectorname}} +Integral over a closed surface of the normal component of a vector field. +\end{docCommand} +\begin{dispExample*}{sidebyside} \[ \closedsurfIntegral{S}{E} \] -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\openlineintegral} -% \DescribeMacro{\openlineIntegral} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=integral over an open path of the tangential component of - a vector field\\ - \cs{openlineintegral}\marg{pathname}\marg{vectorname}\\ - \cs{openlineIntegral}\marg{pathname}\marg{vectorname}} +\begin{docCommand}{openlineintegral}{\marg{pathname}\marg{vectorname}} +Integral over an open path of the tangential component of a vector field. +\end{docCommand} +\begin{dispExample*}{sidebyside} \[ \openlineintegral{C}{E} \] +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{openlineIntegral}{\marg{pathname}\marg{vectorname}} +Integral over an open path of the tangential component of a vector field. +\end{docCommand} +\begin{dispExample*}{sidebyside} \[ \openlineIntegral{C}{E} \] -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\closedlineintegral} -% \DescribeMacro{\closedlineIntegral} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=integral over a closed path of the tangential component of - a vector field\\ - \cs{closedlineintegral}\marg{pathname}\marg{vectorname}\\ - \cs{closedlineIntegral}\marg{pathname}\marg{vectorname}} +\begin{docCommand}{closedlineintegral}{\marg{pathname}\marg{vectorname}} +Integral over a closed path of the tangential component of a vector field. +\end{docCommand} +\begin{dispExample*}{sidebyside} \[ \closedlineintegral{C}{E} \] +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{closedlineIntegral}{\marg{pathname}\marg{vectorname}} +Integral over a closed path of the tangential component of a vector field. +\end{docCommand} +\begin{dispExample*}{sidebyside} \[ \closedlineIntegral{C}{E} \] -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi @@ -2669,1456 +5050,1571 @@ Here is how \oofpez (the Coulomb constant) is defined internally. % Instead, I use \(\hat{t}\dx{\ell}\) for two main reason. The first is that % line integrals require the component of a vector that is tangent to a curve, % and I use \(\hat{t}\) to denote a unit tangent. The second is that the new -% notation looks more like that for surface integrals. \\ +% notation looks more like that for surface integrals. % -% \newpage -% \DescribeMacro{\dbydt} -% \DescribeMacro{\DbyDt} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=first time derivative operator with optional operand\\ - \cs{dbydt}\oarg{operand} or \cs{DbyDt}\oarg{operand}} -\[ \dbydt \] -\[ \dbydt x \] -\[ \dbydt[x] \] -\[ \DbyDt \] -\[ \DbyDt x \] -\[ \DbyDt[x] \] -\end{tcblisting} +\begin{docCommand}{dbydt}{\oarg{operand}} +First time derivative operator. Use \cs{DbyDt} to get \(\Delta\) instead of d. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \dbydt \) or \( \dbydt x \) or \dbydt[x] +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\ddbydt} -% \DescribeMacro{\DDbyDt} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=second time derivative operator with optional operand\\ - \cs{ddbydt}\oarg{operand} or \cs{DDbyDt}\oarg{operand}} -\[ \ddbydt \] -\[ \ddbydt x \] -\[ \ddbydt[x] \] -\[ \DDbyDt \] -\[ \DDbyDt x \] -\[ \DDbyDt[x] \] -\end{tcblisting} +\begin{docCommand}{ddbydt}{\oarg{operand}} +Second time derivative operator. Use \cs{DDbyDt} to get \(\Delta\) instead of d. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \ddbydt \) or \( \ddbydt x \) or \ddbydt[x] +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\pbypt} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=first time partial derivative operator with optional operand\\ - \cs{pbypt}\oarg{operand}} -\[ \pbypt \] -\[ \pbypt x \] -\[ \pbypt[x] \] -\end{tcblisting} +\begin{docCommand}{pbypt}{\oarg{operand}} +First partial time derivative operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \pbypt \) or \( \pbypt x \) or \pbypt[x] +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\ppbypt} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=second time partial derivative operator with optional operand\\ - \cs{ppbypt}\oarg{operand}} -\[ \ppbypt \] -\[ \ppbypt x \] -\[ \ppbypt[x] \] -\end{tcblisting} +\begin{docCommand}{ppbypt}{\oarg{operand}} +Second partial time derivative operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \ppbypt \) or \( \ppbypt x \) or \ppbypt[x] +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\dbyd} -% \DescribeMacro{\DbyD} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=generic first derivative operator\\ - \cs{dbyd}\marg{dependentvariable}\marg{indvar} or \cs{dbyd}\marg{dependentvariable} - \marg{indvar}} -\[ \dbyd{f}{y} \] -\[ \DbyD{f}{y} \] -\end{tcblisting} +\begin{docCommand}{dbyd}{\marg{dependentvariable}\marg{indvar}} +Generic first derivative operator. Use \cs{DbyD} to get \(\Delta\) instead of d. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \dbyd{f}{y} \) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\ddbyd} -% \DescribeMacro{\DDbyD} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=generic second derivative operator\\ - \cs{ddbyd}\marg{dependentvariable}\marg{indvar} or \cs{ddbyd}\marg{dependentvariable} - \marg{indvar}} -\[ \ddbyd{f}{y} \] -\[ \DDbyD{f}{y} \] -\end{tcblisting} +\begin{docCommand}{ddbyd}{\marg{dependentvariable}\marg{indvar}} +Generic second derivative operator. Use \cs{DDbyD} to get \(\Delta\) instead of d. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \ddbyd{f}{y} \) +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{pbyp}{\marg{dependentvariable}\marg{indvar}} +Generic first partial derivative operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \pbyp{f}{y} \) +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\pbyp} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=generic first partial derivative operator\\ - \cs{pbyp}\marg{dependentvariable}\marg{indvar}} -\[ \pbyp{f}{y} \] -\end{tcblisting} +\begin{docCommand}{ppbyp}{\marg{dependentvariable}\marg{indvar}} +Generic second partial derivative operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \ppbyp{f}{y} \) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\ppbyp} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=generic second partial derivative operator\\ - \cs{ppbyp}\marg{dependentvariable}\marg{indvar}} -\[ \ppbyp{f}{y} \] -\end{tcblisting} +\begin{docCommand}{gradient}{} +Gradient operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\gradient +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\gradient} -% \DescribeMacro{\divergence} -% \DescribeMacro{\curl} -% \DescribeMacro{\laplacian} -% \DescribeMacro{\dalembertian} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=vector operators\\ - \cs{gradiant} and\cs{divergence} and \cs{curl} and \cs{laplacian} and \cs{dalembertian}} -\gradient\(f\) and \divergence\vect{E} and \curl\vect{E} and \laplacian\(f\) - and \dalembertian\(F\) -\end{tcblisting} +\begin{docCommand}{divergence}{} +Divergente operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\divergence +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\seriesfofx} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=series expansion of \(f(x)\) \\ - \cs{seriesfofx}} +\begin{docCommand}{curl}{} +Curl operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\curl +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{laplacian}{} +Laplacian operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\laplacian +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{dalembertian}{} +D'Alembertian operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\dalembertian +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{seriesfofx}{} +Series expansion of \(f(x)\) around \(x=a\). +\end{docCommand} +\begin{dispExample} \seriesfofx -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\seriesexpx} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=series expansion of \msup{e}{x} \\ - \cs{seriesexpx}} +\begin{docCommand}{seriesexpx}{} +Series expansion of \msup{e}{x}. +\end{docCommand} +\begin{dispExample*}{sidebyside} \seriesexpx -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\seriessinx} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=series expansion of \(\sin x\) \\ - \cs{seriessinx}} +\begin{docCommand}{seriessinx}{} +Series expansion of \(\sin x\). +\end{docCommand} +\begin{dispExample*}{sidebyside} \seriessinx -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\seriescosx} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=series expansion of \(\cos x\) \\ - \cs{seriescosx}} +\begin{docCommand}{seriescosx}{} +Series expansion of \(\cos x\). +\end{docCommand} +\begin{dispExample*}{sidebyside} \seriescosx -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\seriestanx} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=series expansion of \(\tan x\) \\ - \cs{seriestanx}} +\begin{docCommand}{seriestanx}{} +Series expansion of \(\tan x\). +\end{docCommand} +\begin{dispExample*}{sidebyside} \seriestanx -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\seriesatox} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=series expansion of \msup{a}{x} \\ - \cs{seriesatox}} +\begin{docCommand}{seriesatox}{} +Series expansion of \msup{a}{x}. +\end{docCommand} +\begin{dispExample*}{sidebyside} \seriesatox -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\serieslnoneplusx} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=series expansion of \(\ln\quant{1+x}\) \\ - \cs{serieslnoneplusx}} +\begin{docCommand}{serieslnoneplusx}{} +Series expansion of \(\ln\quant{1+x}\). +\end{docCommand} +\begin{dispExample*}{sidebyside} \serieslnoneplusx -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\binomialseries} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=series expansion of \msup{\quant{1+x}}{n} \\ - \cs{binomialseries}} +\begin{docCommand}{binomialseries}{} +Series expansion of \msup{\quant{1+x}}{n}. +\end{docCommand} +\begin{dispExample*}{sidebyside} \binomialseries -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\diracdelta} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Dirac delta function\\ - \cs{diracdelta}\marg{arg}} +\begin{docCommand}{diracdelta}{\marg{arg}} +Dirac delta function. +\end{docCommand} +\begin{dispExample*}{sidebyside} \diracdelta{x} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage % \subsection{Other Useful Commands} % -% \DescribeMacro{\asin} -% \DescribeMacro{\acos} -% \DescribeMacro{\atan} -% \DescribeMacro{\asec} -% \DescribeMacro{\acsc} -% \DescribeMacro{\acot} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=trigonometric and inverse trigonometric functions - not defined in \LaTeX\\ - \cs{asin} and \cs{acos} and \cs{atan} and \cs{asec} and \cs{acsc} and \cs{acot}} -\(\asin\) and \(\acos\) and \(\atan\) and \(\asec\) and \(\acsc\) and \(\acot\) -\end{tcblisting} +\begin{docCommand}{asin}{} +Symbol for inverse sine and other inverse circular trig functions. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \asin \acos \atan \asec \acsc \acot \) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\sech} -% \DescribeMacro{\csch} -% \DescribeMacro{\asinh} -% \DescribeMacro{\acosh} -% \DescribeMacro{\atanh} -% \DescribeMacro{\asech} -% \DescribeMacro{\acsch} -% \DescribeMacro{\acoth} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=hyperbolic and inverse hyperbolic functions - not defined in \LaTeX\\ - \cs{sech} and \cs{csch} and \cs{asinh} and \cs{acosh} \\ - \cs{atanh} and \cs{asech} and \cs{acsch} and \cs{acoth}} -\(\sech\) and \(\csch\) and \(\asinh\) and \(\acosh\) \\ -\(\atanh\) and \(\asech\) and \(\acsch\) and \(\acoth\) -\end{tcblisting} +\begin{docCommand}{sech}{} +Hyperbolic and inverse hyperbolic functions not defined in \LaTeX. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \sech \csch \asinh \acosh \atanh \asech \acsch \acoth \) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\sgn} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=signum function\\ - \cs{sgn}} -\(\sgn\) -\end{tcblisting} +\begin{docCommand}{sgn}{\marg{arg}} +Signum function. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \sgn \) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\dex} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=decimal exponentiation function (used in astrophysics)\\ - \cs{dex}} -\(\dex\) -\end{tcblisting} +\begin{docCommand}{dex}{} +Decimal exponentiation function (used in astrophysics). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \dex \) +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\eV} -% \DescribeMacro{\ev} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=shortcuts for \cs{electronvolt}\\ - \cs{eV} or \cs{ev}} -\eV\ or \eV -\end{tcblisting} +\begin{docCommand}{logb}{\oarg{base}} +Logarithm to an arbitrary base. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\logb 8 \logb[2] 8 +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\logb} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=logarithms to arbitrary bases \\ - \cs{logb}\oarg{base}} -\logb 8 or \logb[2] 8 -\end{tcblisting} +\begin{docCommand}{cB}{} +Alternate symbol for magnetic field inspired by Tom Moore. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\cB \vect{\cB} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\cB} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=alternate symbol for magnetic field inspired by - Tom Moore \\ - \cs{cB}} -\cB\ or \vect{\cB} -\end{tcblisting} +\begin{docCommand}{newpi}{} +Bob Palais' symbol for \(2\pi\). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\newpi +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\newpi} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Bob Palais' symbol for \(2\pi\) \\ - \cs{newpi}} -\newpi -\end{tcblisting} +\begin{docCommand}{scripty}{\marg{kernel}} +Command to get fonts in Griffith's electrodynamics textbook. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\scripty{r} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\scripty} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=use to get fonts in Griffith's electrodynamics textbook \\ - \cs{scripty}\marg{kernel}} -\scripty{r} -\end{tcblisting} +\begin{docCommand}{flux}{\oarg{label}} +Symbol for flux of a vector field. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\flux \flux[E] +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\flux} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for flux of a vector field\\ - \cs{flux}\oarg{label}} -\flux or \flux[E] -\end{tcblisting} +\begin{docCommand}{abs}{\marg{arg}} +Absolute value function. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\abs{-4} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\abs} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=absolute value function\\ - \cs{abs}\marg{arg}} -\abs{-4} -\end{tcblisting} +\begin{docCommand}{magof}{\marg{arg}} +Magnitude of a quantity (lets you selectively use double bars without setting the +\opt{doubleabsbars} option). +\end{docCommand} +\begin{dispExample*}{sidebyside} +\magof{\vect{E}} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\magof} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=magnitude of a quantity (lets you selectively use - double bars without setting the \opt{doubleabsbars} option)\\ - \cs{magof}\marg{arg}} -\magof{\vect{E}} -\end{tcblisting} +\begin{docCommand}{dimsof}{\marg{arg}} +Notation for showing the dimensions of a quantity. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\( \dimsof{\vect{v}} = L \cdot T^{-1} \) +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\dimsof} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=notation for showing the dimensions of a quantity\\ - \cs{dimsof}\marg{arg}} -\(\dimsof{\vect{v}} = L \cdot T^{-1}\) -\end{tcblisting} +\begin{docCommand}{unitsof}{\marg{arg}} +Notation for showing the units of a quantity. I propose this notation and hope to propagate +it because I could not find any standard notation for this same idea in other sources. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\unitsof{\vect{v}} = \velocityonlytradunit +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\unitsof} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=notation for showing the units of a quantity (I propose - this notation and hope to propagate it because I could not find any standard - notation for this same idea in other sources)\\ - \cs{unitsof}\marg{arg}} -\unitsof{\vect{v}} = \m\per\s -\end{tcblisting} +\begin{docCommand}{quant}{\marg{arg}} +Surrounds the argument with variable sized parentheses. Use \cs{bquant} to get square brackets. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\quant{\oofpez} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\quant} -% \DescribeMacro{\bquant} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=surrounds the argument with variable sized parentheses - (use \cs{bquant} to get square brackets)\\ - \cs{quant}\marg{arg} or \cs{bquant}\marg{arg}} -\quant{\oofpez} or \bquant{\oofpez} -\end{tcblisting} +\begin{docCommand}{Changein}{\marg{arg}} +Nnotation for \textit{the change in a quantity}. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Changein{\vect{E}} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Changein} -% \DescribeMacro{\changein} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=notation for \textit{the change in a quantity}\\ - \cs{Changein}\marg{quantity} or \cs{changein}\marg{quantity}} -\Changein{\vect{E}} or \changein{\vect{E}} -\end{tcblisting} +\begin{docCommand}{scin}{\oarg{mantissa}\marg{exponent}\oarg{unit}} +Command for scientific notation with an optional unit. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\scin[2.99]{8}[\velocityonlytradunit] +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\scin} -% \DescribeMacro{\ee} -% \DescribeMacro{\EE} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=scientific notation (use \cs{ee} or \cs{EE} for computer code)\\ - \cs{scin}\oarg{mantissa}\marg{exponent}\oarg{unit}\\ - \cs{ee}\marg{mantissa}\marg{exponent}\\ - \cs{EE}\marg{mantissa}\marg{exponent}} -\scin[2.99]{8}[\m\per\s] \\ -\ee{2.99}{8} \\ -\EE{2.99}{8} -\end{tcblisting} +\begin{docCommand}{ee}{\marg{mantissa}\marg{exponent}} +Command for scientific notation for computer code. Use \cs{EE} for |EE|. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\ee{2.99}{8} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\dms} -% \DescribeMacro{\hms} -% \DescribeMacro{\clockreading} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=formatted angles and times\\ - \cs{dms}\marg{deg}\marg{min}\marg{sec}\\ - \cs{hms}\marg{hour}\marg{min}\marg{sec}\\ - \cs{clock reading}\marg{hour}\marg{minute}\marg{second}} +\begin{docCommand}{dms}{\marg{deg}\marg{min}\marg{sec}} +Command for formatting angles and time. Use \cs{hms} for time. Note that other packages +may do this better. +\end{docCommand} +\begin{dispExample*}{sidebyside} \dms{23}{34}{10.27} \\ -\hms{23}{34}{10.27} \\ +\hms{23}{34}{10.27} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{clockreading}{\marg{hrs}\marg{min}\marg{sec}} +Command for formatting a clock reading. Really an alias for \cs{hms}, but conceptually +a very different idea that introductory textbooks don't do a good enough job at articulating. +\end{docCommand} +\begin{dispExample*}{sidebyside} \clockreading{23}{34}{10.27} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\latitude} -% \DescribeMacro{\latitudeN} -% \DescribeMacro{\latitudeS} -% \DescribeMacro{\longitude} -% \DescribeMacro{\longitudeE} -% \DescribeMacro{\longitudeW} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=formatted latitude and longitude} -\latitude{+35} or \latitudeN{35} or \latitudeS{35} \\ -\longitude{-81} or \longitudeE{81} or \longitudeW{81} -\end{tcblisting} +\begin{docCommand}{latitude}{\marg{arg}} +Command for formatting latitude, useful in astronomy. Use \cs{latitudeN} or \cs{latitudeS} +to include a letter. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\latitude{+35} \latitudeN{35} \latitudeS{35} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\ssub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=text subscripts\\ - \cs{ssub}\marg{kernel}\marg{sub}} -\ssub{N}{AB} -\end{tcblisting} +\begin{docCommand}{longitude}{\marg{arg}} +Command for formatting longitude, useful in astronomy. Use \cs{longitudeE} or +\cs{longitudeW} to include a letter. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\longitude{-81} \longitudeE{81} \longitudeW{81} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\ssup} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=text superscripts\\ - \cs{ssup}\marg{kernel}\marg{sup}} +\begin{docCommand}{ssup}{\marg{kernel}\marg{sup}} +Command for typesetting text superscripts. +\end{docCommand} +\begin{dispExample*}{sidebyside} \ssup{N}{contact} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\ssud} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=text superscripts and subscripts\\ - \cs{ssud}\marg{kernel}\marg{sup}\marg{sub}} -\ssud{N}{contact}{AB} -\end{tcblisting} +\begin{docCommand}{ssub}{\marg{kernel}\marg{sub}} +Command for typesetting text subscripts. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\ssub{N}{AB} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\msub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=mathematical subscripts\\ - \cs{msub}\marg{kernel}\marg{sub}} -\msub{R}{\alpha\beta} -\end{tcblisting} +\begin{docCommand}{ssud}{\marg{sup}\marg{sub}} +Command for typesetting text superscripts and subscripts. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\ssud{N}{contact}{AB} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\msup} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=mathematical superscripts\\ - \cs{msup}\marg{kernel}\marg{sup}} +\begin{docCommand}{msup}{\marg{kernel}\marg{sup}} +Command for typesetting mathematical superscripts. +\end{docCommand} +\begin{dispExample*}{sidebyside} \msup{R}{\gamma} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\msud} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=mathematical superscripts and subscripts\\ - \cs{msud}\marg{kernel}\marg{sup}\marg{sub}} +\begin{docCommand}{msub}{\marg{kernel}\marg{sub}} +Command for typesetting mathematical subscripts. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\msub{R}{\alpha\beta} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{msud}{\marg{kernel}\marg{sup}\marg{sub}} +Command for typesetting mathematical superscripts and subscripts. +\end{docCommand} +\begin{dispExample*}{sidebyside} \msud{\Gamma}{\gamma}{\alpha\beta} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\levicivita} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=Levi-Civita symbol\\ - \cs{levicivita}\marg{indices}} +\begin{docCommand}{levicivita}{\marg{indices}} +Command for Levi-Civita symbol. +\end{docCommand} +\begin{dispExample*}{sidebyside} \levicivita{ijk} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\xaxis} -% \DescribeMacro{\yaxis} -% \DescribeMacro{\zaxis} -% \DescribeMacro{\naxis} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=shortcuts for coordinate axes\\ - \cs{xaxis} or \cs{yaxis} or \cs{zaxis} or \cs{naxis}\marg{axis}} -\xaxis or \yaxis or \zaxis or \naxis{t} -\end{tcblisting} +\begin{docCommand}{kronecker}{\marg{indices}} +Command for Kronecker delta symbol. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\kronecker{ij} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\xyplane} -% \DescribeMacro{\yzplane} -% \DescribeMacro{\zxplane} -% \DescribeMacro{\yxplane} -% \DescribeMacro{\zyplane} -% \DescribeMacro{\xzplane} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=shortcuts for coordinate planes\\ - \cs{xyplane} or \cs{yzplane} or \cs{zxplane} or \cs{yzplane} or \cs{zyplane} - or \cs{xzplane}} -\xyplane or \yzplane or \zxplane or \yxplane or \zyplane or \xzplane -\end{tcblisting} +\begin{docCommand}{xaxis}{} +Command for coordinate axes. +\end{docCommand} +\begin{dispExample*}{sidebyside} + \xaxis \yaxis \zaxis +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\cuberoot} -% \DescribeMacro{\fourthroot} -% \DescribeMacro{\fifthroot} -% \DescribeMacro{\fsqrt} -% \DescribeMacro{\fcuberoot} -% \DescribeMacro{\ffourthroot} -% \DescribeMacro{\ffifthroot} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=frequently used roots as radicals\\ - \cs{cuberoot}\marg{arg} or \cs{fourthroot}\marg{arg} or \cs{fifthroot}\marg{arg} - or \cs{fsqrt}\marg{arg} or \cs{fcuberoot}\marg{arg} or \cs{ffourthroot}\marg{arg} - or \cs{ffifthroot}\marg{arg}} -\cuberoot{x} or \fourthroot{x} or \fifthroot{x} or \fsqrt{x} -or \fcuberoot{x} or \ffourthroot{x} or \ffifthroot{x} -\end{tcblisting} +\begin{docCommand}{naxis}{\oarg{axis}} +Command for custom naming a coordinate axis. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\naxis{t} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\relgamma} -% \DescribeMacro{\frelgamma} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=expressions for relativistic gamma factor\\ - \cs{relgamma}\marg{arg} or \cs{frelgamma}\marg{arg}} -\relgamma{\magvect{v}} or \relgamma{(0.5c)} \\ -\frelgamma{\magvect{v}} or \frelgamma{(0.5c)} -\end{tcblisting} +\begin{docCommand}{xyplane}{} +Commands for naming coordinate planes. All combinations are defined. +\end{docCommand} +\begin{dispExample} +\xyplane \yzplane \zxplane \yxplane \zyplane \xzplane +\end{dispExample} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\oosqrtomxs} -% \DescribeMacro{\oosqrtomx} -% \DescribeMacro{\ooomx} -% \DescribeMacro{\ooopx} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=expressions convenient for numerically evaluating \(\gamma\)\\ - \cs{oosqrtomxs}\marg{arg} (\textit{one over square root of one minus x squared})\\ - \cs{oosqrtomx}\marg{arg} (\textit{one over square root of one minus x})\\ - \cs{ooomx}\marg{arg} (\textit{one over one minus x})\\ - \cs{ooopx}\marg{arg} (\textit{one over one plus x})} -\oosqrtomxs{0.22} \\ -\oosqrtomx{0.22} \\ -\ooomx{0.22} \\ -\ooopx{0.11} -\end{tcblisting} +\begin{docCommand}{fsqrt}{\marg{arg}} +Command for square root as a fractional exponent. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\fsqrt{x} +\end{dispExample*} %\iffalse %</example> %\fi % -% \subsection{Custom Operators} +%\iffalse +%<*example> +%\fi +\begin{docCommand}{cuberoot}{\marg{arg}} +Command for cube root of an argument. Use \cs{fcuberoot} to get fractional exponent. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\cuberoot{x} \fcuberoot{x} +\end{dispExample*} +%\iffalse +%</example> +%\fi % -% \DescribeMacro{\isequals} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=typesets \textit{test-for-equality} operator \\ - \cs{isequals}} -5 \isequals 3 -\end{tcblisting} +\begin{docCommand}{fourthroot}{\marg{arg}} +Command for fourth root of an argument. Use \cs{ffourthroot} to get fractional exponent. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\fourthroot{x} \ffourthroot{x} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\wordoperator} -% \DescribeMacro{\pwordoperator} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=typesets two lines of tiny text to be use as an - operator without using mathematical symbols\\ - \cs{wordoperator}\marg{firstline}\marg{secondline}\\ - \cs{pwordoperator}\marg{firstline}\marg{secondline}} -\wordoperator{added}{to} \\ -\pwordoperator{added}{to} -\end{tcblisting} +\begin{docCommand}{fifthroot}{\marg{arg}} +Command for fifth root of an argument. Use \cs{ffifthroot} to get fractional exponent. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\fifthroot{x} \ffifthroot{x} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{relgamma}{\marg{arg}} +Expression for Lorentz factor. Use \cs{frelgamma} to get fractional exponent. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\begin{align*} +\gamma&=\relgamma{\magvect{v}}\\ +\gamma&=\relgamma{(0.5c)}\\ +\gamma&=\frelgamma{\magvect{v}}\\ +\gamma&=\frelgamma{(0.5c)} +\end{align*} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\definedas} -% \DescribeMacro{\associated} -% \DescribeMacro{\adjustedby} -% \DescribeMacro{\earlierthan} -% \DescribeMacro{\laterthan} -% \DescribeMacro{\forevery} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=frequently used word operators \\ - \cs{definedas} or \cs{associated} or \cs{adjustedby} or \cs{earlierthan} or - \cs{laterthan} or \cs{forevery}} -\definedas or \associated or \adjustedby \\ -\earlierthan or \laterthan or \forevery -\end{tcblisting} +\begin{docCommand}{oosqrtomxs}{\marg{arg}} +Commands for expressions convenient in numerically evaluating Lorentz factors. Say each +expression out loud and you'll see where the command names come from. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\oosqrtomxs{0.22} +\oosqrtomx{0.22} +\ooomx{0.22} +\ooopx{0.11} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\pdefinedas} -% \DescribeMacro{\passociated} -% \DescribeMacro{\padjustedby} -% \DescribeMacro{\pearlierthan} -% \DescribeMacro{\platerthan} -% \DescribeMacro{\pforevery} +% \subsection{Custom Operators} +% The \(=\) operator is frequently misused, and we need other operators for other situations. %\iffalse %<*example> %\fi -\begin{tcblisting}{title=frequently used word operators with parentheses \\ - \cs{pdefinedas} or \cs{passociated} or \cs{padjustedby} or \cs{pearlierthan} or - \cs{platerthan} or \cs{pforevery}} -\pdefinedas or \passociated or \padjustedby \\ -\pearlierthan or \platerthan or \pforevery -\end{tcblisting} +\begin{docCommand}{isequals}{} +Command for \textit{test-for-equality} operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} +5 \isequals 3 +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\defines} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=\textit{defines} or \textit{defined by} operator \\ - \cs{defines}} +\begin{docCommand}{wordoperator}{\marg{firstline}\marg{secondline}} +Command for two lines of tiny text to be use as an operator without using mathematical +symbols. Use \cs{pwordoperator} to get parentheses around the operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\wordoperator{added}{to} \\ +\pwordoperator{added}{to} +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{definedas}{} +Commands for frequently used word operators. Prepend |p| to each to get parentheses around +the operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\definedas and \associated and \adjustedby \\ +\earlierthan and \laterthan and \forevery \\ +\pdefinedas and \passociated and \padjustedby \\ +\pearlierthan and \platerthan and \pforevery +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{defines}{} +Command for \textit{defines} or \textit{defined by} operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} \vect{p} \defines \(\gamma m\)\vect{v} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\inframe} -% \ntodo[Suggestion]{Make the arrow's length fixed.} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=operator for indicating the coordinate representation of - a vector in a particular reference frame denoted by a capital letter\\ - \cs{inframe}\oarg{frame}} +\begin{docCommand}{inframe}{\oarg{frame}} +Command for operator indicating the coordinate representation of a vector in a particular +reference frame denoted by a capital letter.\ntodo[Suggestion]{Make the arrow's length fixed.} +\end{docCommand} +\begin{dispExample*}{sidebyside} \vect{p} \inframe[S] \momentum{\mivector{1,2,3}} \\ \vect{p} \inframe[S'] \momentum{\mivector{\sqrt{14},0,0}} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\associates} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=\textit{associated with} or \textit{associates with} - operator (for verbal concepts) \\ - \cs{associates}} +\begin{docCommand}{associates}{} +Command for \textit{associated with} or \textit{associates with} operator (for verbal +concepts). +\end{docCommand} +\begin{dispExample*}{sidebyside} kinetic energy \associates velocity -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\becomes} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=\textit{becomes} operator \\ - \cs{becomes}} +\begin{docCommand}{becomes}{} +Command for \textit{becomes} operator. +\end{docCommand} +\begin{dispExample*}{sidebyside} \(\gamma m\)\vect{v} \becomes \(m\)\vect{v} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\rrelatedto} -% \DescribeMacro{\lrelatedto} -% \DescribeMacro{\brelatedto} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=operators for directional mathematical relationships - without mathematical notation \\ - \cs{rrelatedto}\marg{loperation} \\ - \cs{lrelatedto}\marg{roperation} \\ - \cs{brelatedto}\marg{loperation}\marg{roperation}} -(flux ratio) \rrelatedto{taking logarithm} (mag diff) \\ -(flux ratio) \lrelatedto{exponentiation} (mag diff) \\ +\begin{docCommand}{rrelatedto}{\marg{leftoperation}} +Command for left-to-right relationship. +\end{docCommand} +\begin{dispExample*}{sidebyside} +(flux ratio) \rrelatedto{taking logarithm} (mag diff) +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{lrelatedto}{\marg{roperation}} +Command for right-to-left relationship. +\end{docCommand} +\begin{dispExample*}{sidebyside} +(flux ratio) \lrelatedto{exponentiation} (mag diff) +\end{dispExample*} +%\iffalse +%</example> +%\fi +% +%\iffalse +%<*example> +%\fi +\begin{docCommand}{brelatedto}{\marg{leftoperation}\marg{roperation}} +Command for bidirectional relationship. +\end{docCommand} +\begin{dispExample*}{sidebyside} (mag diff) \brelatedto{taking logarithm}{exponentiation}(flux ratio) -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage % \subsection{Commands Specific to \mi} % -% \DescribeMacro{\momprinciple} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=momentum principle \\ - \cs{LHSmomprinciple} or \cs{RHSmomprinciple} or \cs{momprinciple}} -\LHSmomprinciple \\ -\RHSmomprinciple \\ -\momprinciple -\end{tcblisting} +\begin{docCommand}{momentumprinciple}{} +Expression for the momentum principle. Prepend \cs{LHS} to get just the left +hand side and \cs{RHS} to get just the right hand side. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\momentumprinciple +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\energyprinciple} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=energy principle \\ - \cs{LHSenergyprinciple} or \cs{RHSenergyprinciple} or \cs{energyprinciple}} -\LHSenergyprinciple \\ -\RHSenergyprinciple \\ +\begin{docCommand}{energyprinciple}{} +Expression for the energy principle. Prepend \cs{LHS} to get just the left +hand side and \cs{RHS} to get just the right hand side. +\end{docCommand} +\begin{dispExample*}{sidebyside} \energyprinciple -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\angularmomprinciple} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=angular momentum principle \\ - \cs{LHSangularmomprinciple} or \cs{RHSangularmomprinciple} or \cs{angularmomprinciple}} -\LHSangularmomprinciple \\ -\RHSangularmomprinciple \\ -\angularmomprinciple -\end{tcblisting} +\begin{docCommand}{angularmomentumprinciple}{} +Expression for the angular momentum principle. Prepend \cs{LHS} to get just +the left hand side and \cs{RHS} to get just the right hand side. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\angularmomentumprinciple +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\gravinteraction} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=expression for gravitational interaction \\ - \cs{gravinteraction}} -\gravinteraction -\end{tcblisting} +\begin{docCommand}{gravitationalinteraction}{} +Expression for gravitational interaction. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\gravitationalinteraction +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\elecinteraction} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=xxpression for electric interaction \\ - \cs{elecinteraction}} -\elecinteraction -\end{tcblisting} +\begin{docCommand}{electricinteraction}{} +Expression for electric interaction. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\electricinteraction +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Efieldofparticle} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=expression for electric field of a particle \\ - \cs{Efieldofparticle}} +\begin{docCommand}{Efieldofparticle}{} +Expression for a particle's electric field. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Efieldofparticle -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Bfieldofparticle} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=expression for magnetic field of a particle \\ - \cs{Bfieldofparticle}} +\begin{docCommand}{Bfieldofparticle}{} +Expression for a particle's magnetic field. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Bfieldofparticle -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\Esys} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for energy of system \\ - \cs{Esys}} +\begin{docCommand}{Esys}{} +Symbol for system energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Esys -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Us} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for spring potential energy \\ - \cs{Us}} +\begin{docCommand}{Us}{} +Symbol for spring potential energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Us -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Ug} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for gravitational potential energy \\ - \cs{Ug}} +\begin{docCommand}{Ug}{} +Symbol for gravitational potential energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Ug -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Ue} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for electric potential energy \\ - \cs{Ue}} +\begin{docCommand}{Ue}{} +Symbol for electric potential energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Ue -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Ktrans} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for translational kinetic energy \\ - \cs{Ktrans}} +\begin{docCommand}{Ktrans}{} +Symbol for translational kinetic energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Ktrans -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\Krot} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for rotational kinetic energy \\ - \cs{Krot}} +\begin{docCommand}{Krot}{} +Symbol for rotational kinetic energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Krot -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Eparticle} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for particle energy \\ - \cs{Eparticle}} +\begin{docCommand}{Eparticle}{} +Symbol for particle energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Eparticle -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Einternal} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for internal energy \\ - \cs{Einternal}} +\begin{docCommand}{Einternal}{} +Symbol for internal energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Einternal -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Erest} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for rest energy \\ - \cs{Erest}} +\begin{docCommand}{Erest}{} +Symbol for rest energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Erest -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Echem} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for chemical energy \\ - \cs{Echem}} +\begin{docCommand}{Echem}{} +Symbol for chemical energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Echem -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\Etherm} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for thermal energy \\ - \cs{Etherm}} +\begin{docCommand}{Etherm}{} +Symbol for thermal energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Etherm -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Evib} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for vibrational energy \\ - \cs{Evib}} +\begin{docCommand}{Evib}{} +Symbol for vibrational energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Evib -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Ephoton} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for photon energy \\ - \cs{Ephoton}} +\begin{docCommand}{Ephoton}{} +Symbol for photon energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Ephoton -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\DUs} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for change in spring potential energy \\ - \cs{DUs}} +\begin{docCommand}{DUs}{} +Symbol for change in spring potential energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \DUs -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\DUg} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for change in gravitational potential energy \\ - \cs{DUg}} +\begin{docCommand}{DUg}{} +Symbol for change in gravitational potential energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \DUg -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\DUe} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for change in electric potential energy \\ - \cs{DUe}} +\begin{docCommand}{DUe}{} +Symbol for change in electric potential energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \DUe -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\DKtrans} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for change in translational kinetic energy \\ - \cs{DKtrans}} +\begin{docCommand}{DKtrans}{} +Symbol for change in translational kinetic energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \DKtrans -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\DKrot} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for change in rotational kinetic energy \\ - \cs{DKrot}} +\begin{docCommand}{DKrot}{} +Symbol for change in rotational kinetic energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \DKrot -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\DEparticle} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for change in particle energy \\ - \cs{DEparticle}} +\begin{docCommand}{DEparticle}{} +Symbol for change in particle energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \DEparticle -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\DEinternal} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for change in internal energy \\ - \cs{DEinternal}} +\begin{docCommand}{DEinternal}{} +Symbol for change in internal energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \DEinternal -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\DErest} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for change in rest energy \\ - \cs{DErest}} +\begin{docCommand}{DErest}{} +Symbol for change in rest energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \DErest -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\DEchem} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for change in chemical energy \\ - \cs{DEchem}} +\begin{docCommand}{DEchem}{} +Symbol for change in chemical energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \DEchem -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\DEtherm} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for change in thermal energy \\ - \cs{DEtherm}} +\begin{docCommand}{DEtherm}{} +Symbol for change in thermal energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \DEtherm -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\DEvib} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for change in vibrational energy \\ - \cs{DEvib}} +\begin{docCommand}{DEvib}{} +Symbol for change in vibrational energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \DEvib -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\DEphoton} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for change in photon energy \\ - \cs{DEphoton}} +\begin{docCommand}{DEphoton}{} +Symbol for change in photon energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \DEphoton -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\Usfinal} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=expression for final spring potential energy \\ - \cs{Usfinal}} +\begin{docCommand}{Usfinal}{} +Expression for final spring potential energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} \Usfinal -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Usinitial} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=expression for initial spring potential energy \\ - \cs{Usinitial}} -\Usfinal -\end{tcblisting} +\begin{docCommand}{Usinitial}{} +Expression for initial spring potential energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Usinitial +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Ugfinal} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=expression for final gravitational potential energy \\ - \cs{Ugfinal}} -\Ugfinal -\end{tcblisting} +\begin{docCommand}{Uefinal}{} +Expression for final electric potential energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Uefinal +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Uginitial} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=expression for initial gravitational potential energy \\ - \cs{Uginitial}} -\Ugfinal -\end{tcblisting} +\begin{docCommand}{Ueinitial}{} +Expression for initial electric potential energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Ueinitial +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\Uefinal} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=expression for final electric potential energy \\ - \cs{Uefinal}} -\Uefinal -\end{tcblisting} +\begin{docCommand}{Ugfinal}{} +Expression for final gravitational potential energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Ugfinal +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Ueinitial} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=expression for initial electric potential energy \\ - \cs{Ueinitial}} -\Uefinal -\end{tcblisting} +\begin{docCommand}{Uginitial}{} +Expression for initial gravitational potential energy. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Uginitial +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\ks} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=symbol for spring stiffness \\ - \cs{ks}} +\begin{docCommand}{ks}{} +Symbol for spring stiffness. +\end{docCommand} +\begin{dispExample*}{sidebyside} \ks -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\Fnet} -% \DescribeMacro{\Fnetext} -% \DescribeMacro{\Fnetsys} -% \DescribeMacro{\Fsub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=various symbols for net force \\ - \cs{Fnet} or \cs{Fnetext} or \cs{Fnetsys} or \cs{Fsub}\marg{label}} -\Fnet or \Fnetext or \Fnetsys or \Fsub{ball,bat} -\end{tcblisting} +\begin{docCommand}{Fnet}{} +Various symbols for net force. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Fnet \Fnetext \Fnetsys \Fsub{ball,bat} +\end{dispExample*} %\iffalse %</example> %\fi % -% -% \DescribeMacro{\Tnet} -% \DescribeMacro{\Tnetext} -% \DescribeMacro{\Tnetsys} -% \DescribeMacro{\Tsub} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=various symbols for net torque \\ - \cs{Tnet} or \cs{Tnetext} or \cs{Tnetsys} or \cs{Tsub}\marg{label}} -\Tnet or \Tnetext or \Tnetsys or \Tsub{ball,bat} -\end{tcblisting} +\begin{docCommand}{Tnet}{} +Various symbols for net torque. +\end{docCommand} +\begin{dispExample*}{sidebyside} +\Tnet \Tnetext \Tnetsys \Tsub{ball,bat} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\vpythonline} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=single line of VPython code used inline\\ - \cs{vpythonline}\marg{vpythoncode}} +\begin{docCommand}{vpythonline}{\marg{vpythoncode}} +Command for a single line of VPython code used inline. +\end{docCommand} +\begin{dispExample*}{sidebyside} \vpythonline{from visual import *} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeEnv{vpythonblock} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=environment for a block of VPython code\\ - \cs{begin\{vpythonblock\}}\\ - \meta{vpythoncode}\\ - \cs{end\{vpythonblock\}}} +\begin{docEnvironment}{vpythonblock}{} +Environment for a block of VPython code. +\end{docEnvironment} +\begin{dispExample} \begin{vpythonblock} from visual import * sphere(center=pos(1,2,3),color=color.green) MyArrow=arrow(pos=earth.pos, axis=fscale*Fnet, color=color.green) print ("arrow.pos = "), arrow.pos \end{vpythonblock} -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\vpythonfile} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=file in the current directory containing VPython code\\ - \cs{vpythonfile}\meta{filename}} +\begin{docCommand}{vpythonfile}{\meta{filename}} +Typesets a file in the current directory containing VPython code. +\end{docCommand} +\begin{dispExample} \vpythonfile{vdemo.py} -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \newpage % \subsection{Boxes and Environments} % -% \DescribeMacro{\emptyanswer} %\iffalse %<*example> %\fi -\begin{tcblisting}{listing only, title=empty space for filling answer boxes so - there is nothing to see\\ \cs{emptyanswer}\oarg{wdth}\oarg{hght}} +\begin{docCommand}{emptyanswer}{\oarg{wdth}\oarg{hght}} +Typesets empty space for filling answer boxes, so there is nothing to see. +\end{docCommand} +\begin{dispExample*}{sidebyside} \emptyanswer[0.75][0.2] -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeEnv{activityanswer} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=main environment for typesetting boxed answers\\ - \cs{begin\{activityanswer\}}\oarg{bgclr}\oarg{frmclr}\oarg{txtclr}\oarg{wdth}\oarg{hght} - \\ - \meta{content}\\ - \cs{end\{activityanswer\}}} +\begin{docEnvironment}{activityanswer} + {\oarg{bgclr}\oarg{frmclr}\oarg{txtclr}\oarg{wdth}\oarg{hght}} +Main environment for typesetting boxed answers. +\end{docEnvironment} +\begin{dispExample} \begin{activityanswer} Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Morbi commodo, ipsum sed pharetra gravida, orci magna rhoncus neque, id pulvinar odio lorem non turpis. Nullam sit amet enim. \end{activityanswer} -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \newpage -% \DescribeEnv{adjactivityanswer} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=like \cs{activityanswer} but adjusts vertically to - tightly surround text\\ -\cs{begin\{adjactivityanswer\}} -\oarg{bgclr}\oarg{frmclr}\oarg{txtclr}\oarg{wdth}\oarg{hght} \\ - \meta{content}\\ - \cs{end\{adjactivityanswer\}}} +\begin{docEnvironment}{adjactivityanswer} + {\oarg{bgclr}\oarg{frmclr}\oarg{txtclr}\oarg{wdth}\oarg{hght}} +Like \cs{activityanswer} but adjusts vertically to tightly surround text. +\end{docEnvironment} +\begin{dispExample} \begin{adjactivityanswer} Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Morbi commodo, ipsum sed pharetra gravida, orci magna rhoncus neque, @@ -4131,171 +6627,180 @@ kinetic energy \associates velocity eu dolor. Maecenas vitae nulla consequat libero cursus venenatis. Nam magna enim, accumsan eu, blandit sed, blandit a, eros. \end{adjactivityanswer} -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \DescribeMacro{\emptybox} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=provides a fixed-size box with optional text\\ - \cs{emptybox}\oarg{txt}\oarg{bgclr}\oarg{frmclr}\oarg{txtclr}\oarg{wdth}\oarg{hght}} +\begin{docCommand}{emptybox} + {\oarg{txt}\oarg{bgclr}\oarg{frmclr}\oarg{txtclr}\oarg{wdth}\oarg{hght}} +Provides a fixed-size box with optional text. +\end{docCommand} +\begin{dispExample} \emptybox[Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Morbi commodo, ipsum sed pharetra gravida, orci magna rhoncus neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\adjemptybox} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=like \cs{emptybox} but adjusts vertically to tightly surround - text\\ -\cs{adjemptybox}\oarg{txt}\oarg{bgclr}\oarg{frmclr}\oarg{txtclr}\oarg{wdth}\oarg{hght}} +\begin{docCommand}{adjemptybox} + {\oarg{txt}\oarg{bgclr}\oarg{frmclr}\oarg{txtclr}\oarg{wdth}\oarg{hght}} +Like \cs{emptybox} but adjusts vertically to tightly surround text. +\end{docCommand} +\begin{dispExample} \adjemptybox[Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Morbi commodo, ipsum sed pharetra gravida, orci magna rhoncus neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \DescribeMacro{\answerbox} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=wrapper for \cs{emptybox}\\ -\cs{answerbox}\oarg{txt}\oarg{bgclr}\oarg{frmclr}\oarg{txtclr}\oarg{wdth}\oarg{hght}} +\begin{docCommand}{answerbox} + {\oarg{txt}\oarg{bgclr}\oarg{frmclr}\oarg{txtclr}\oarg{wdth}\oarg{hght}} +Wrapper for \cs{emptybox}. +\end{docCommand} +\begin{dispExample} \answerbox[Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Morbi commodo, ipsum sed pharetra gravida, orci magna rhoncus neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \DescribeMacro{\adjanswerbox} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=wrapper for \cs{adjemptybox}\\ -\cs{adjanswerbox}\oarg{txt}\oarg{bgclr}\oarg{frmclr}\oarg{txtclr}\oarg{wdth}\oarg{hght}} +\begin{docCommand}{adjanswerbox} + {\oarg{txt}\oarg{bgclr}\oarg{frmclr}\oarg{txtclr}\oarg{wdth}\oarg{hght}} +Wrapper for \cs{adjemptybox}. +\end{docCommand} +\begin{dispExample} \adjanswerbox[Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Morbi commodo, ipsum sed pharetra gravida, orci magna rhoncus neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\smallanswerbox} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=answer box with height 0.10 that of current \cs{textheight} - and width 0.90 that of current \cs{linewidth}\\ - \cs{smallanswerbox}\oarg{txt}\oarg{bgclr}} +\begin{docCommand}{smallanswerbox}{\oarg{txt}\oarg{bgclr}} +Answer box with height 0.10 that of current \cs{textheight} and width 0.90 that of current +\cs{linewidth}. +\end{docCommand} +\begin{dispExample} \smallanswerbox[][red] -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \DescribeMacro{\mediumanswerbox} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=answer box with height 0.20 that of current \cs{textheight} - and width 0.90 that of current \cs{linewidth}\\ - \cs{mediumanswerbox}\oarg{txt}\oarg{bgclr}} +\begin{docCommand}{mediumanswerbox}{\oarg{txt}\oarg{bgclr}} +Answer box with height 0.20 that of current \cs{textheight} and width 0.90 that of current +\cs{linewidth}. +\end{docCommand} +\begin{dispExample} \mediumanswerbox[][lightgray] -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \DescribeMacro{\largeanswerbox} %\iffalse %<*example> %\fi -\begin{tcblisting}{listing only,title=answer box with height 0.25 that of current -\cs{textheight} and width 0.90 that of current \cs{linewidth} (too large to show here)\\ - \cs{largeanswerbox}\oarg{txt}\oarg{bgclr}} +\begin{docCommand}{largeanswerbox}{\oarg{txt}\oarg{bgclr}} +Answer box with height 0.25 that of current \cs{textheight} and width 0.90 that of current +\cs{linewidth} (too large to show here). +\end{docCommand} +\begin{dispListing} \largeanswerbox[][lightgray] -\end{tcblisting} +\end{dispListing} %\iffalse %</example> %\fi % -% \newpage -% \DescribeMacro{\largeranswerbox} %\iffalse %<*example> %\fi -\begin{tcblisting}{listing only,title=answer box with height 0.33 that of current -\cs{textheight} and width 0.90 that of current \cs{linewidth} (too large to show here)\\ - \cs{largreanswerbox}\oarg{txt}\oarg{bgclr}} -\largreanswerbox[][lightgray] -\end{tcblisting} +\begin{docCommand}{largeranswerbox}{\oarg{txt}\oarg{bgclr}} +Answer box with height 0.33 that of current \cs{textheight} and width 0.90 that of current +\cs{linewidth} (too large to show here). +\end{docCommand} +\begin{dispListing} +\largeranswerbox[][lightgray] +\end{dispListing} %\iffalse %</example> %\fi % -% \DescribeMacro{\hugeanswerbox} %\iffalse %<*example> %\fi -\begin{tcblisting}{listing only,title=answer box with height 0.50 that of current -\cs{textheight} and width 0.90 that of current \cs{linewidth} (too large to show here)\\ - \cs{hugeanswerbox}\oarg{txt}\oarg{bgclr}} +\begin{docCommand}{hugeanswerbox}{\oarg{txt}\oarg{bgclr}} +Answer box with height 0.50 that of current \cs{textheight} and width 0.90 that of current +\cs{linewidth} (too large to show here). +\end{docCommand} +\begin{dispListing} \hugeanswerbox[][lightgray] -\end{tcblisting} +\end{dispListing} %\iffalse %</example> %\fi % -% \DescribeMacro{\hugeranswerbox} %\iffalse %<*example> %\fi -\begin{tcblisting}{listing only,title=answer box with height 0.75 that of current -\cs{textheight} and width 0.90 that of current \cs{linewidth} (too large to show here)\\ - \cs{hugeranswerbox}\oarg{txt}\oarg{bgclr}} +\begin{docCommand}{hugeranswerbox}{\oarg{txt}\oarg{bgclr}} +Answer box with height 0.75 that of current \cs{textheight} and width 0.90 that of current +\cs{linewidth} (too large to show here). +\end{docCommand} +\begin{dispListing} \hugeranswerbox[][lightgray] -\end{tcblisting} +\end{dispListing} %\iffalse %</example> %\fi % -% \DescribeMacro{\fullpageanswerbox} %\iffalse %<*example> %\fi -\begin{tcblisting}{listing only,title=answer box with height 1.00 that of current -\cs{textheight} and width 0.90 that of current \cs{linewidth} (too large to show here)\\ - \cs{fullpageanswerbox}\oarg{txt}\oarg{bgclr}} +\begin{docCommand}{fullpageanswerbox}{\oarg{txt}\oarg{bgclr}} +Answer box with height 1.00 that of current \cs{textheight} and width 0.90 that of current +\cs{linewidth} (too large to show here). +\end{docCommand} +\begin{dispListing} \fullpageanswerbox[][lightgray] -\end{tcblisting} +\end{dispListing} %\iffalse %</example> %\fi % -% \newpage -% \DescribeEnv{miinstructornote} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=environment for highlighting notes to instructors\\ - \cs{begin\{miinstructornote\}}\\ - \meta{content}\\ - \cs{end\{{miinstructornote}\}}} +\begin{docEnvironment}{miinstructornote}{} +Environment for highlighting notes to instructors. +\end{docEnvironment} +\begin{dispExample} \begin{miinstructornote} Nunc auctor bibendum eros. Maecenas porta accumsan mauris. Etiam enim enim, elementum sed, bibendum quis, rhoncus non, metus. Fusce @@ -4307,20 +6812,18 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] Aenean eget mi. Fusce mattis est id diam. Phasellus faucibus interdum sapien. \end{miinstructornote} -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \newpage -% \DescribeEnv{mistudentnote} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=environment for highlighting notes to students\\ - \cs{begin\{studentnote\}}\\ - \meta{content}\\ - \cs{end\{{studentnote}\}}} +\begin{docEnvironment}{mistudentnote}{} +Environment for highlighting notes to students. +\end{docEnvironment} +\begin{dispExample} \begin{mistudentnote} Nunc auctor bibendum eros. Maecenas porta accumsan mauris. Etiam enim enim, elementum sed, bibendum quis, rhoncus non, metus. Fusce @@ -4332,48 +6835,42 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] Aenean eget mi. Fusce mattis est id diam. Phasellus faucibus interdum sapien. \end{mistudentnote} -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \newpage -% \DescribeEnv{miderivation} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=fancy environment for mathematical derivations based on - |align| environment\\ - \cs{begin\{miderivation\}}\\ - \meta{content}\\ - \cs{end\{miderivation\}}} +\begin{docEnvironment}{miderivation}{} +Environment for mathematical derivations based on the |align| environment. +\end{docEnvironment} +\begin{dispExample} \begin{miderivation} \gamma &= \relgamma{\magvect{v}} && \text{given} \\ \msup{\gamma}{2}&= \ooomx{\msup{(\frac{\magvect{v}}{c})}{2}} &&\text{square both sides}\\ \frac{1}{\msup{\gamma}{2}}&=1-\msup{(\frac{\magvect{v}}{c})}{2} - &&\text{reciprocal of - both sides} \\ + &&\text{reciprocal of both sides} \\ \msup{(\frac{\magvect{v}}{c})}{2}&=1-\frac{1}{\msup{\gamma}{2}} &&\text{rearrange} \\ \frac{\magvect{v}}{c}&=\sqrt{1-\frac{1}{\msup{\gamma}{2}}} &&\text{square root of both sides} \end{miderivation} -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \newpage -% \DescribeEnv{bwinstructornote} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=environment for highlighting notes to instructors\\ - \cs{begin\{bwinstructornote\}}\\ - \meta{content}\\ - \cs{end\{{bwinstructornote}\}}} +\begin{docEnvironment}{bwinstructornote}{} +Environment for highlighting notes to instructors. +\end{docEnvironment} +\begin{dispExample} \begin{bwinstructornote} Nunc auctor bibendum eros. Maecenas porta accumsan mauris. Etiam enim enim, elementum sed, bibendum quis, rhoncus non, metus. Fusce @@ -4385,20 +6882,18 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] Aenean eget mi. Fusce mattis est id diam. Phasellus faucibus interdum sapien. \end{bwinstructornote} -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \newpage -% \DescribeEnv{bwstudentnote} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=environment for highlighting notes to students\\ - \cs{begin\{bwstudentnote\}}\\ - \meta{content}\\ - \cs{end\{{bwstudentnote}\}}} +\begin{docEnvironment}{bwstudentnote}{} +Environment for highlighting notes to students. +\end{docEnvironment} +\begin{dispExample} \begin{bwstudentnote} Nunc auctor bibendum eros. Maecenas porta accumsan mauris. Etiam enim enim, elementum sed, bibendum quis, rhoncus non, metus. Fusce @@ -4410,100 +6905,95 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] Aenean eget mi. Fusce mattis est id diam. Phasellus faucibus interdum sapien. \end{bwstudentnote} -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \newpage -% \DescribeEnv{bwderivation} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=fancy environment for mathematical derivations based on - |align| environment\\ - \cs{begin\{bwderivation\}}\\ - \meta{content}\\ - \cs{end\{bwderivation\}}} +\begin{docEnvironment}{bwderivation}{} +Environment for mathematical derivations based on the |align| environment. +\end{docEnvironment} +\begin{dispExample} \begin{bwderivation} \gamma &= \relgamma{\magvect{v}} && \text{given} \\ \msup{\gamma}{2}&= \ooomx{\msup{(\frac{\magvect{v}}{c})}{2}} &&\text{square both sides}\\ \frac{1}{\msup{\gamma}{2}}&=1-\msup{(\frac{\magvect{v}}{c})}{2} - &&\text{reciprocal of - both sides} \\ + &&\text{reciprocal of both sides} \\ \msup{(\frac{\magvect{v}}{c})}{2}&=1-\frac{1}{\msup{\gamma}{2}} &&\text{rearrange} \\ \frac{\magvect{v}}{c}&=\sqrt{1-\frac{1}{\msup{\gamma}{2}}} &&\text{square root of both sides} \end{bwderivation} -\end{tcblisting} +\end{dispExample} %\iffalse %</example> %\fi % -% \newpage % \subsection{Miscellaneous Commands} % -% \DescribeMacro{\checkpoint} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=centered checkpoint for student discussion\\ - \cs{checkpoint}} +\begin{docCommand}{checkpoint}{} +Centered checkpoint for student discussion. +\end{docCommand} +\begin{dispExample*}{sidebyside} \checkpoint -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \DescribeMacro{\image} %\iffalse %<*example> %\fi -\begin{tcblisting}{listing only,title=centered figure displayed actual size with - caption\\ \cs{image}\marg{imagefilename}\marg{caption}} +\begin{docCommand}{image}{\marg{imagefilename}\marg{caption}} +Centered figure displayed actual size with caption. +\end{docCommand} +\begin{dispListing} \image{satellite.pdf}{Photograph of satellite} -\end{tcblisting} +\end{dispListing} %\iffalse %</example> %\fi % -% \DescribeMacro{\sneakyone} %\iffalse %<*example> %\fi -\begin{tcblisting}{title=shows factors dividing to a sneaky one\\ - \cs{sneakyone}\marg{thing}} +\begin{docCommand}{sneakyone}{\marg{thing}} +Sshows factors dividing to a sneaky one. +\end{docCommand} +\begin{dispExample*}{sidebyside} \sneakyone{\m} -\end{tcblisting} +\end{dispExample*} %\iffalse %</example> %\fi % -% \newpage % \subsection{Experimental Commands} % Commands defined in this section are not guaranteed to work consistently and are % included for experimental uses only. They may or may not exist in future releases. -% Most are an attempt to simplify existing commands -% \ntodo[Question]{Should the subscript or component come first?} -% for subscripted vectors. +% Most are an attempt to simplify existing commands for subscripted vectors. % %\begin{center} -%\begin{tabular}{ccc} -% \multicolumn{2}{l}{Experimental Syntax} & Existing Syntax \\ -% \hline \\ -% \verb|\vecto{E}| & \vecto{E} & \verb|\vect{E}| \\ -% \verb|\vecto{E}[ball]| & \vecto{E}[ball] & \verb|\vectsub{E}{ball}| \\ -% \verb|\compvecto{E}{y}| & \compvecto{E}{y} & \verb|\compvect{E}{y}| \\ -% \verb|\compvecto{E}[ball]{x}|&\compvecto{E}[ball]{x}&\verb|\compvectsub{E}{ball}{x}| \\ -% \verb|\scompsvecto{E}| & \scompsvecto{E} & \verb|\scompsvect{E}| \\ -% \verb|\scompsvecto{E}[ball]|&\scompsvecto{E}[ball] & \verb|\scompsvectsub{E}{ball}| \\ -% \verb|\compposo{y}| & \compposo{y} & \verb|\comppos{y}| \\ -% \verb|\compposo[ball]{y}| & \compposo[ball]{y} & \verb|\comppossub{ball}{y}| \\ -% \verb|\scompsposo| & \scompsposo & \verb|\scompspos| \\ -% \verb|\scompsposo[ball]| & \scompsposo[ball] & \verb|\scompspossub{ball}| +%\begin{tabular}{lcl} +% \multicolumn{2}{l}{Experimental Syntax} & Existing Syntax \\ +% \hline \\ +% \verb|\vecto{E}| & \vecto{E} & \verb|\vect{E}|\\ +% \verb|\vecto{E}[ball]| & \vecto{E}[ball] & \verb|\vectsub{E}{ball}|\\ +% \verb|\compvecto{E}{y}| & \compvecto{E}{y} & \verb|\compvect{E}{y}|\\ +% \verb|\compvecto{E}{x}[ball]|& \compvecto{E}{x}[ball]& \verb|\compvectsub{E}{x}{ball}|\\ +% \verb|\scompsvecto{E}| & \scompsvecto{E} & \verb|\scompsvect{E}|\\ +% \verb|\scompsvecto{E}[ball]| & \scompsvecto{E}[ball] & \verb|\scompsvectsub{E}{ball}|\\ +% \verb|\compposo{y}| & \compposo{y} & \verb|\comppos{y}|\\ +% \verb|\compposo{y}[ball]| & \compposo{y}[ball] & \verb|\comppossub{y}{ball}|\\ +% \verb|\scompsposo| & \scompsposo & \verb|\scompspos|\\ +% \verb|\scompsposo[ball]| & \scompsposo[ball] & \verb|\scompspossub{ball}| %\end{tabular} %\end{center} % @@ -4519,9 +7009,9 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] % \begin{macrocode} \RequirePackage{amsmath} \RequirePackage{amssymb} +\RequirePackage{array} \RequirePackage{bigints} \RequirePackage{cancel} -\RequirePackage[leftbars,color]{changebar} \RequirePackage[dvipsnames]{xcolor} \RequirePackage{environ} \RequirePackage{etoolbox} @@ -4548,6 +7038,7 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \definecolor{vpythoncolor}{rgb}{0.95,0.95,0.95} \newcommand{\lstvpython}{\lstset{language=Python,numbers=left,numberstyle=\tiny, backgroundcolor=\color{vpythoncolor},upquote=true,breaklines}} +\newcolumntype{C}[1]{>{\centering}m{#1}} \newboolean{@optitalicvectors} \newboolean{@optdoubleabsbars} \newboolean{@optbaseunits} @@ -4587,6 +7078,7 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \newcommand{\coulomb}{\ensuremath{\mathrm{C}}} \newcommand{\degree}{\ensuremath{^{\circ}}} \newcommand{\electronvolt}{\ensuremath{\mathrm{eV}}} +\newcommand{\eV}{\electronvolt} \newcommand{\farad}{\ensuremath{\mathrm{F}}} \newcommand{\henry}{\ensuremath{\mathrm{H}}} \newcommand{\hertz}{\ensuremath{\mathrm{Hz}}} @@ -4620,6 +7112,7 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \newcommand{\T}{\tesla} \newcommand{\V}{\volt} \newcommand{\W}{\watt} +\newcommand{\Wb}{\weber} \newcommand{\square}[1]{\ensuremath{\mathrm{#1}^{2}}} % prefix 2 \newcommand*{\cubic}[1]{\ensuremath{\mathrm{#1}^{3}}} % prefix 3 \newcommand*{\quartic}[1]{\ensuremath{\mathrm{#1}^{4}}} % prefix 4 @@ -4636,19 +7129,9 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \newcommand*{\reciprocalquarted}{\ensuremath{^{\mathrm{-4}}}} % postfix -4 % \end{macrocode} % -% \begin{macro}{\newphysicsquantity} -% \begin{macro}{\newphysicsconstant} -% \begin{macro}{\hereusebaseunit} -% \begin{macro}{\hereusedrvdunit} -% \begin{macro}{\hereusetradunit} -% \begin{macro}{\usebaseunit} -% \begin{macro}{\usedrvdunit} -% \begin{macro}{\usetradunit} -% \begin{macro}{\perpusebaseunit} -% \begin{macro}{\perpusedrvdunit} -% \begin{macro}{\perpusetradunit} -% Define a new named physics quantity or physical constant and commands for -% selecting units. My thanks to Ulrich Diez for contributing this code. +% \noindent Define a new named physics quantity or physical constant and +% commands for selecting units. My thanks to Ulrich Diez for contributing +% this code. % \begin{macrocode} \newcommand\mi@exchangeargs[2]{#2#1}% \newcommand\mi@name{}% @@ -4704,17 +7187,6 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \ifx#4\renewcommand\mi@name\let{#5mathsymbol}=\relax\fi \mi@name\newcommand{#5mathsymbol}{\ensuremath{#6}}}{}}% % \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} % % \noindent This block of code processes the options. % \begin{macrocode} @@ -4740,8 +7212,7 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \setbox\z@\hbox{% \mathchardef\@tempa\mathcode`\[\relax \def\@tempb##1"##2##3{\the\textfont"##3\char"}% - \expandafter\@tempb\meaning\@tempa \relax - }% + \expandafter\@tempb\meaning\@tempa \relax}% \ht\Mathstrutbox@\ht\z@ \dp\Mathstrutbox@\dp\z@} \begingroup \catcode`(\active \xdef({\left\string(} @@ -4764,543 +7235,180 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \typeout{mandi: square root symbol fixed.} % \end{macrocode} % -% \begin{macro}{\m} -% SI base unit of length or spatial displacement +% \noindent SI base unit of length or spatial displacement % \begin{macrocode} \newcommand{\m}{\metre} % \end{macrocode} -% \end{macro} % -% \begin{macro}{\kg} -% SI base unit of mass +% \noindent SI base unit of mass % \begin{macrocode} \newcommand{\kg}{\kilogram} % \end{macrocode} -% \end{macro} % -% \begin{macro}{\s} -% SI base unit of time or temporal displacement +% \noindent SI base unit of time or temporal displacement % \begin{macrocode} \newcommand{\s}{\second} % \end{macrocode} -% \end{macro} % -% \begin{macro}{\A} -% SI base unit of electric current +% \noindent SI base unit of electric current % \begin{macrocode} \newcommand{\A}{\ampere} % \end{macrocode} -% \end{macro} % -% \begin{macro}{\K} -% SI base unit of thermodynamic temperature +% \noindent SI base unit of thermodynamic temperature % \begin{macrocode} \newcommand{\K}{\kelvin} % \end{macrocode} -% \end{macro} % -% \begin{macro}{\mol} -% SI base unit of amount +% \noindent SI base unit of amount % \begin{macrocode} \newcommand{\mol}{\mole} % \end{macrocode} -% \end{macro} % -% \begin{macro}{\cd} -% SI base unit of luminous intensity +% \noindent SI base unit of luminous intensity % \begin{macrocode} \newcommand{\cd}{\candela} % \end{macrocode} -% \end{macro} % -% \begin{macro}{\displacement} % \begin{macrocode} \newphysicsquantity{displacement}{\m}[\m][\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\mass} -% \begin{macrocode} \newphysicsquantity{mass}{\kg}[\kg][\kg] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\duration} -% \begin{macrocode} \newphysicsquantity{duration}{\s}[\s][\s] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\current} -% \begin{macrocode} \newphysicsquantity{current}{\A}[\A][\A] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\temperature} -% \begin{macrocode} \newphysicsquantity{temperature}{\K}[\K][\K] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\amount} -% \begin{macrocode} \newphysicsquantity{amount}{\mol}[\mol][\mol] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\luminous} -% \begin{macrocode} \newphysicsquantity{luminous}{\cd}[\cd][\cd] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\planeangle} -% \begin{macrocode} \newphysicsquantity{planeangle}{\m\usk\reciprocal\m}[\rad][\rad] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\solidangle} -% \begin{macrocode} \newphysicsquantity{solidangle}{\m\squared\usk\reciprocalsquare\m}[\sr][\sr] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\indegrees} -% \begin{macrocode} \newcommand{\indegrees}[1]{\ensuremath{\unit{#1}{\degree}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\inarcminutes} -% \begin{macrocode} +\newcommand{\inFarenheit}[1]{\ensuremath{\unit{#1}{\degree\mathrm{F}}}} +\newcommand{\inCelsius}[1]{\ensuremath{\unit{#1}{\degree\mathrm{C}}}} \newcommand{\inarcminutes}[1]{\ensuremath{\unit{#1}{\arcminute}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\inarcseconds} -% \begin{macrocode} \newcommand{\inarcseconds}[1]{\ensuremath{\unit{#1}{\arcsecond}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\ineV} -% \begin{macrocode} \newcommand{\ineV}[1]{\ensuremath{\unit{#1}{\electronvolt}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\inAU} -% \begin{macrocode} +\newcommand{\inMeVocs}[1]{\ensuremath{\unit{#1}{\mathrm{MeV}\per\msup{c}{2}}}} +\newcommand{\inMeVoc}[1]{\ensuremath{\unit{#1}{\mathrm{MeV}\per c}}} \newcommand{\inAU}[1]{\ensuremath{\unit{#1}{\mathrm{AU}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\velocityc} -% \begin{macrocode} +\newcommand{\inly}[1]{\ensuremath{\unit{#1}{\mathrm{ly}}}} +\newcommand{\incyr}[1]{\ensuremath{\unit{#1}{c\usk\mathrm{year}}}} +\newcommand{\inpc}[1]{\ensuremath{\unit{#1}{\mathrm{pc}}}} +\newcommand{\insolarL}[1]{\ensuremath{\unit{#1}{\Lsolar}}} +\newcommand{\insolarT}[1]{\ensuremath{\unit{#1}{\Tsolar}}} +\newcommand{\insolarR}[1]{\ensuremath{\unit{#1}{\Rsolar}}} +\newcommand{\insolarM}[1]{\ensuremath{\unit{#1}{\Msolar}}} +\newcommand{\insolarF}[1]{\ensuremath{\unit{#1}{\Fsolar}}} +\newcommand{\insolarf}[1]{\ensuremath{\unit{#1}{\fsolar}}} +\newcommand{\insolarMag}[1]{\ensuremath{\unit{#1}{\Magsolar}}} +\newcommand{\insolarmag}[1]{\ensuremath{\unit{#1}{\magsolar}}} +\newcommand{\insolarD}[1]{\ensuremath{\unit{#1}{\Dsolar}}} +\newcommand{\insolard}[1]{\ensuremath{\unit{#1}{\dsolar}}} \newcommand{\velocityc}[1]{\ensuremath{#1c}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\velocity} -% \begin{macrocode} \newphysicsquantity{velocity}{\m\usk\reciprocal\s}[\m\usk\reciprocal\s][\m\per\s] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\acceleration} -% \begin{macrocode} \newphysicsquantity{acceleration}{\m\usk\s\reciprocalsquared}[\N\per\kg][\m\per\s\squared] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\gamman} -% \begin{macrocode} -\newcommand{\gamman}[1]{\ensuremath{#1}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\momentum} -% \begin{macrocode} +\newcommand{\lorentz}[1]{\ensuremath{#1}} \newphysicsquantity{momentum}{\m\usk\kg\usk\reciprocal\s}[\N\usk\s][\kg\usk\m\per\s] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\impulse} -% \begin{macrocode} \newphysicsquantity{impulse}{\m\usk\kg\usk\reciprocal\s}[\N\usk\s][\kg\usk\m\per\s] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\force} -% \begin{macrocode} \newphysicsquantity{force}{\m\usk\kg\usk\s\reciprocalsquared}[\N][\N] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\springstiffness} -% \begin{macrocode} \newphysicsquantity{springstiffness}{\kg\usk\s\reciprocalsquared}[\N\per\m][\N\per\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\springstretch} -% \begin{macrocode} \newphysicsquantity{springstretch}{\m} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\area} -% \begin{macrocode} \newphysicsquantity{area}{\m\squared} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\volume} -% \begin{macrocode} \newphysicsquantity{volume}{\cubic\m} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\linearmassdensity} -% \begin{macrocode} \newphysicsquantity{linearmassdensity}{\reciprocal\m\usk\kg}[\kg\per\m][\kg\per\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\areamassdensity} -% \begin{macrocode} \newphysicsquantity{areamassdensity}{\m\reciprocalsquared\usk\kg}[\kg\per\m\squared] [\kg\per\m\squared] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\volumemassdensity} -% \begin{macrocode} \newphysicsquantity{volumemassdensity}{\m\reciprocalcubed\usk\kg}[\kg\per\m\cubed] [\kg\per\m\cubed] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\youngsmodulus} -% \begin{macrocode} \newphysicsquantity{youngsmodulus}{\reciprocal\m\usk\kg\usk\s\reciprocalsquared} [\N\per\m\squared][\Pa] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\work} -% \begin{macrocode} -\newphysicsquantity{work}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J] -[\N\usk\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\energy} -% \begin{macrocode} -\newphysicsquantity{energy}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J] -[\N\usk\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\power} -% \begin{macrocode} +\newphysicsquantity{work}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J][\N\usk\m] +\newphysicsquantity{energy}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J][\N\usk\m] \newphysicsquantity{power}{\m\squared\usk\kg\usk\s\reciprocalcubed}[\W][\J\per\s] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\angularvelocity} -% \begin{macrocode} \newphysicsquantity{angularvelocity}{\rad\usk\reciprocal\s}[\rad\per\s][\rad\per\s] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\angularacceleration} -% \begin{macrocode} \newphysicsquantity{angularacceleration}{\rad\usk\s\reciprocalsquared}[\rad\per\s\squared] [\rad\per\s\squared] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\angularmomentum} -% \begin{macrocode} \newphysicsquantity{angularmomentum}{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s] [\kg\usk\m\squared\per\s] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\momentofinertia} -% \begin{macrocode} -\newphysicsquantity{momentofinertia}{\m\squared\usk\kg}[\J\usk\s\squared] -[\kg\usk\m\squared] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\torque} -% \begin{macrocode} -\newphysicsquantity{torque}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J\per\rad] -[\N\usk\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\entropy} -% \begin{macrocode} +\newphysicsquantity{momentofinertia}{\m\squared\usk\kg}[\J\usk\s\squared][\kg\usk\m\squared] +\newphysicsquantity{torque}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J\per\rad][\N\usk\m] \newphysicsquantity{entropy}{\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\K} [\J\per\K][\J\per\K] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\wavelength} -% \begin{macrocode} \newphysicsquantity{wavelength}{\m}[\m][\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\wavenumber} -% \begin{macrocode} \newphysicsquantity{wavenumber}{\reciprocal\m}[\per\m][\per\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\frequency} -% \begin{macrocode} \newphysicsquantity{frequency}{\reciprocal\s}[\hertz][\hertz] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\angularfrequency} -% \begin{macrocode} \newphysicsquantity{angularfrequency}{\rad\usk\reciprocal\s}[\rad\per\s][\rad\per\s] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\charge} -% \begin{macrocode} \newphysicsquantity{charge}{\A\usk\s}[\C][\C] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\permittivity} -% \begin{macrocode} -\newphysicsquantity{permittivity}{\m\reciprocalcubed\usk\reciprocal\kg\usk\s - \reciprocalquarted\usk\A\squared}[\F\per\m][\C\squared\per\N\usk\m\squared] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\permeability} -% \begin{macrocode} -\newphysicsquantity{permeability}{\m\usk\kg\usk\s\reciprocalsquared\usk\A - \reciprocalsquared}[\henry\per\m][\T\usk\m\per\A] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\electricfield} -% \begin{macrocode} +\newphysicsquantity{permittivity} +{\m\reciprocalcubed\usk\reciprocal\kg\usk\s\reciprocalquarted\usk\A\squared} +[\F\per\m][\C\squared\per\N\usk\m\squared] +\newphysicsquantity{permeability} +{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}[\henry\per\m][\T\usk\m\per\A] \newphysicsquantity{electricfield}{\m\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A} [\V\per\m][\N\per\C] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\electricdipolemoment} -% \begin{macrocode} \newphysicsquantity{electricdipolemoment}{\m\usk\s\usk\A}[\C\usk\m][\C\usk\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\magneticfield} -% \begin{macrocode} +\newphysicsquantity{electricflux}{\m\cubed\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A} +[\V\usk\m][\N\usk\m\squared\per\C] \newphysicsquantity{magneticfield}{\kg\usk\s\reciprocalsquared\usk\reciprocal\A}[\T] -[\N\per\C\usk(\m\per\s)] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\cmagneticfield} -% \begin{macrocode} +[\N\per\C\usk(\m\per\s)] % also \Wb\per\m\squared +\newphysicsquantity{magneticflux} +{\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\A}[\volt\usk\s] +[\T\usk\m\squared] % also \Wb and \J\per\A \newphysicsquantity{cmagneticfield}{\m\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A} [\V\per\m][\N\per\C] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\linearchargedensity} -% \begin{macrocode} \newphysicsquantity{linearchargedensity}{\reciprocal\m\usk\s\usk\A}[\C\per\m][\C\per\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\areachargedensity} -% \begin{macrocode} \newphysicsquantity{areachargedensity}{\reciprocalsquare\m\usk\s\usk\A} [\C\per\square\m][\C\per\square\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\volumechargedensity} -% \begin{macrocode} \newphysicsquantity{volumechargedensity}{\reciprocalcubic\m\usk\s\usk\A} [\C\per\cubic\m][\C\per\cubic\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\mobility} -% \begin{macrocode} \newphysicsquantity{mobility} {\m\squared\usk\kg\usk\s\reciprocalquarted\usk\reciprocal\A}[\m\squared\per\volt\usk\s] [(\m\per\s)\per(\N\per\C)] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\numberdensity} -% \begin{macrocode} \newphysicsquantity{numberdensity}{\reciprocalcubic\m}[\per\cubic\m][\per\cubic\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\polarizability} -% \begin{macrocode} \newphysicsquantity{polarizability}{\reciprocal\kg\usk\s\quarted\usk\square\A} [\C\usk\square\m\per\V][\C\usk\m\per(\N\per\C)] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\electricpotential} -% \begin{macrocode} \newphysicsquantity{electricpotential} {\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocal\A}[\J\per\C][\V] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\emf} -% \begin{macrocode} \newphysicsquantity{emf}{\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocal\A} [\J\per\C][\V] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\dielectricconstant} -% \begin{macrocode} \newphysicsquantity{dielectricconstant}{}[][] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\indexofrefraction} -% \begin{macrocode} \newphysicsquantity{indexofrefraction}{}[][] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\relativepermittivity} -% \begin{macrocode} \newphysicsquantity{relativepermittivity}{}[][] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\relativepermeability} -% \begin{macrocode} \newphysicsquantity{relativepermeability}{}[][] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\energydensity} -% \begin{macrocode} \newphysicsquantity{energydensity}{\m\reciprocaled\usk\kg\usk\reciprocalsquare\s} [\J\per\cubic\m][\J\per\cubic\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\electroncurrent} -% \begin{macrocode} +\newphysicsquantity{energyflux}{\kg\usk\s\reciprocalcubed} +[\W\per\m\squared][\W\per\m\squared] \newphysicsquantity{electroncurrent}{\reciprocal\s} [\ensuremath{\mathrm{e}}\per\s][\ensuremath{\mathrm{e}}\per\s] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\conventionalcurrent} -% \begin{macrocode} \newphysicsquantity{conventionalcurrent}{\A}[\C\per\s][\A] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\magneticdipolemoment} -% \begin{macrocode} \newphysicsquantity{magneticdipolemoment}{\square\m\usk\A}[\J\per\T][\A\usk\square\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\currentdensity} -% \begin{macrocode} \newphysicsquantity{currentdensity}{\reciprocalsquare\m\usk\A}[\C\usk\s\per\square\m] [\A\per\square\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\capacitance} -% \begin{macrocode} \newphysicsquantity{capacitance} -{\reciprocalsquare\m\usk\reciprocal\kg\usk\quartic\s\usk\square\A}[\C\per\V][\F] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\conductivity} -% \begin{macrocode} +{\reciprocalsquare\m\usk\reciprocal\kg\usk\quartic\s\usk\square\A}[\F][\C\per\V] +% also \C\squared\per\N\usk\m, \s\per\ohm +\newphysicsquantity{inductance} +{\square\m\usk\kg\usk\reciprocalsquare\s\usk\reciprocalsquare\A}[\henry] +[\volt\usk\s\per\A] % also \square\m\usk\kg\per\C\squared, \Wb\per\A \newphysicsquantity{conductivity} {\reciprocalcubic\m\usk\reciprocal\kg\usk\cubic\s\usk\square\A}[\siemens\per\m] -[\A\per\V\usk\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\resistivity} -% \begin{macrocode} +[(\A\per\square\m)\per(\V\per\m)] \newphysicsquantity{resistivity} -{\cubic\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocalsquare\A}[\m\per\siemens] -[\ohm\usk\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\resistance} -% \begin{macrocode} +{\cubic\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocalsquare\A}[\ohm\usk\m] +[(\V\per\m)\per(\A\per\square\m)] \newphysicsquantity{resistance} {\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocalsquare\A}[\V\per\A][\ohm] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\conductance} -% \begin{macrocode} \newphysicsquantity{conductance} {\reciprocalsquare\m\usk\reciprocal\kg\usk\cubic\s\usk\square\A}[\A\per\V][\siemens] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\lv} -% \begin{macro}{\rv} -% \begin{macrocode} +\newphysicsquantity{magneticcharge}{\m\usk\A}[\m\usk\A][\m\usk\A] \newcommand{\lv}{\ensuremath{\left\langle}} \newcommand{\rv}{\ensuremath{\right\rangle}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\symvect} -% \begin{macrocode} \newcommand{\symvect}{\mivector} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\ncompsvect} -% \begin{macrocode} \newcommand{\ncompsvect}{\mivector} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\magvectncomps} -% Written in LaTeX3 -% \begin{macrocode} -\ExplSyntaxOn +\ExplSyntaxOn % Written in LaTeX3 \NewDocumentCommand{\magvectncomps}{ m O{} } {% \sum_of_squares:nn { #1 }{ #2 } }% - \cs_new:Npn \sum_of_squares:nn #1 #2 {% \tl_if_empty:nTF { #2 } @@ -5319,128 +7427,44 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] }% }% \ExplSyntaxOff -% \end{macrocode} -% \end{macro} % -% \begin{macro}{\zerovect} -% \begin{macro}{\ncompszerovect} -% \begin{macrocode} \newcommand{\zerovect}{\vect{0}} \newcommand{\ncompszerovect}{\mivector{0,0,0}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\vect} -% \begin{macrocode} \ifthenelse{\boolean{@optitalicvectors}} {\newcommand{\vect}[1]{\ensuremath{\vec{#1}}}} {\newcommand{\vect}[1]{\ensuremath{\vec{\mathrm{#1}}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\magvect} -% \begin{macrocode} \ifthenelse{\boolean{@optdoubleabsbars}} {\newcommand{\magvect}[1]{\ensuremath{\magof{\vect{#1}}}}} {\newcommand{\magvect}[1]{\ensuremath{\abs{\vect{#1}}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\dmagvect} -% \begin{macro}{\Dmagvect} -% \begin{macrocode} \newcommand{\dmagvect}[1]{\ensuremath{\dx{\magvect{#1}}}} \newcommand{\Dmagvect}[1]{\ensuremath{\Delta\!\magvect{#1}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dirvect} -% \begin{macrocode} \ifthenelse{\boolean{@optitalicvectors}} {\newcommand{\dirvect}[1]{\ensuremath{\widehat{{#1}}}}} {\newcommand{\dirvect}[1]{\ensuremath{\widehat{\mathrm{#1}}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\compvect} -% \begin{macrocode} \ifthenelse{\boolean{@optitalicvectors}} {\newcommand{\compvect}[2]{\ensuremath{\ssub{#1}{\(#2\)}}}} {\newcommand{\compvect}[2]{\ensuremath{\ssub{\mathrm{#1}}{\(#2\)}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\scompsvect} -% \begin{macrocode} \newcommand{\scompsvect}[1]{\ensuremath{\lv \compvect{#1}{x}, \compvect{#1}{y}, \compvect{#1}{z}\rv}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\magvectscomps} -% \begin{macrocode} \newcommand{\magvectscomps}[1]{\ensuremath{\sqrt{ \msup{\compvect{#1}{x}}{2}+ \msup{\compvect{#1}{y}}{2}+ \msup{\compvect{#1}{z}}{2}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\dvect} -% \begin{macro}{\Dvect} -% \begin{macrocode} \newcommand{\dvect}[1]{\ensuremath{\mathrm{d}\vect{#1}}} \newcommand{\Dvect}[1]{\ensuremath{\Delta\vect{#1}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dirdvect} -% \begin{macro}{\dirDvect} -% \begin{macrocode} \newcommand{\dirdvect}[1]{\ensuremath{\widehat{\dvect{#1}}}} \newcommand{\dirDvect}[1]{\ensuremath{\widehat{\Dvect{#1}}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\ddirvect} -% \begin{macro}{\Ddirvect} -% \begin{macrocode} \newcommand{\ddirvect}[1]{\ensuremath{\mathrm{d}\dirvect{E}}} \newcommand{\Ddirvect}[1]{\ensuremath{\Delta\dirvect{E}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\magdvect} -% \begin{macro}{\magDvect} -% \begin{macrocode} \ifthenelse{\boolean{@optdoubleabsbars}} {\newcommand{\magdvect}[1]{\ensuremath{\magof{\dvect{#1}}}} \newcommand{\magDvect}[1]{\ensuremath{\magof{\Dvect{#1}}}}} {\newcommand{\magdvect}[1]{\ensuremath{\abs{\dvect{#1}}}} \newcommand{\magDvect}[1]{\ensuremath{\abs{\Dvect{#1}}}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\compdvect} -% \begin{macro}{\compDvect} -% \begin{macrocode} \newcommand{\compdvect}[2]{\ensuremath{\mathrm{d}\compvect{#1}{#2}}} \newcommand{\compDvect}[2]{\ensuremath{\Delta\compvect{#1}{#2}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\scompsdvect} -% \begin{macro}{\scompsDvect} -% \begin{macrocode} \newcommand{\scompsdvect}[1]{\ensuremath{\lv \compdvect{#1}{x}, \compdvect{#1}{y}, @@ -5449,386 +7473,130 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \compDvect{#1}{x}, \compDvect{#1}{y}, \compDvect{#1}{z}\rv}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dervect} -% \begin{macro}{\Dervect} -% \begin{macrocode} \newcommand{\dervect}[2]{\ensuremath{\frac{\dvect{#1}}{\mathrm{d}{#2}}}} \newcommand{\Dervect}[2]{\ensuremath{\frac{\Dvect{#1}}{\Delta{#2}}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\compdervect} -% \begin{macro}{\compDervect} -% \begin{macrocode} -\newcommand{\compdervect}[3]{\ensuremath{\dbyd{\compvect{#1}{#3}}{#2}}} -\newcommand{\compDervect}[3]{\ensuremath{\DbyD{\compvect{#1}{#3}}{#2}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\scompsdervect} -% \begin{macro}{\scompsDervect} -% \begin{macrocode} +\newcommand{\compdervect}[3]{\ensuremath{\dbyd{\compvect{#1}{#2}}{#3}}} +\newcommand{\compDervect}[3]{\ensuremath{\DbyD{\compvect{#1}{#2}}{#3}}} \newcommand{\scompsdervect}[2]{\ensuremath{\lv - \compdervect{#1}{#2}{x}, - \compdervect{#1}{#2}{y}, - \compdervect{#1}{#2}{z}\rv}} + \compdervect{#1}{x}{#2}, + \compdervect{#1}{y}{#2}, + \compdervect{#1}{z}{#2}\rv}} \newcommand{\scompsDervect}[2]{\ensuremath{\lv - \compDervect{#1}{#2}{x}, - \compDervect{#1}{#2}{y}, - \compDervect{#1}{#2}{z}\rv}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\magdervect} -% \begin{macro}{\magDervect} -% \begin{macrocode} + \compDervect{#1}{x}{#2}, + \compDervect{#1}{y}{#2}, + \compDervect{#1}{z}{#2}\rv}} \ifthenelse{\boolean{@optdoubleabsbars}} {\newcommand{\magdervect}[2]{\ensuremath{\magof{\dervect{#1}{#2}}}} \newcommand{\magDervect}[2]{\ensuremath{\magof{\Dervect{#1}{#2}}}}} {\newcommand{\magdervect}[2]{\ensuremath{\abs{\dervect{#1}{#2}}}} \newcommand{\magDervect}[2]{\ensuremath{\abs{\Dervect{#1}{#2}}}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dermagvect} -% \begin{macro}{\Dermagvect} -% \begin{macrocode} \newcommand{\dermagvect}[2]{\ensuremath{\dbyd{\magvect{#1}}{#2}}} \newcommand{\Dermagvect}[2]{\ensuremath{\DbyD{\magvect{#1}}{#2}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\scompspos} -% \begin{macrocode} \newcommand{\scompspos}{\mivector{x,y,z}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\comppos} -% \begin{macrocode} \newcommand{\comppos}[1]{\ensuremath{{#1}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\scompsdpos} -% \begin{macro}{\scompsDpos} -% \begin{macrocode} \newcommand{\scompsdpos}{\mivector{\mathrm{d}x,\mathrm{d}y,\mathrm{d}z}} \newcommand{\scompsDpos}{\mivector{\Delta x,\Delta y,\Delta z}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\compdpos} -% \begin{macro}{\compDpos} -% \begin{macrocode} \newcommand{\compdpos}[1]{\ensuremath{\mathrm{d}{#1}}} \newcommand{\compDpos}[1]{\ensuremath{\Delta{#1}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\scompsderpos} -% \begin{macro}{\scompsDerpos} -% \begin{macrocode} \newcommand{\scompsderpos}[1]{\ensuremath{\lv \frac{\mathrm{d}x}{\mathrm{d}{#1}},\frac{\mathrm{d}y}{\mathrm{d}{#1}}, \frac{\mathrm{d}z}{\mathrm{d}{#1}}\rv}} \newcommand{\scompsDerpos}[1]{\ensuremath{\lv \frac{\Delta x}{\Delta{#1}},\frac{\Delta y}{\Delta{#1}}, \frac{\Delta z}{\Delta{#1}}\rv}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\compderpos} -% \begin{macro}{\compDerpos} -% \begin{macrocode} \newcommand{\compderpos}[2]{\ensuremath{\frac{\mathrm{d}{#1}}{\mathrm{d}{#2}}}} \newcommand{\compDerpos}[2]{\ensuremath{\frac{\Delta{#1}}{\Delta{#2}}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\vectsub} -% \begin{macrocode} \newcommand{\vectsub}[2]{\ensuremath{\ssub{\vect{#1}}{#2}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\compvectsub} -% \begin{macrocode} \ifthenelse{\boolean{@optitalicvectors}} - {\newcommand{\compvectsub}[3]{\ensuremath{\ssub{#1}{#2,\(#3\)}}}} - {\newcommand{\compvectsub}[3]{\ensuremath{\ssub{\mathrm{#1}}{#2,\(#3\)}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\scompsvectsub} -% \begin{macrocode} + {\newcommand{\compvectsub}[3]{\ensuremath{\ssub{#1}{\(#2\),#3}}}} + {\newcommand{\compvectsub}[3]{\ensuremath{\ssub{\mathrm{#1}}{\(#2\),#3}}}} \newcommand{\scompsvectsub}[2]{\ensuremath{\lv - \compvectsub{#1}{#2}{x}, - \compvectsub{#1}{#2}{y}, - \compvectsub{#1}{#2}{z}\rv}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\magvectsub} -% \begin{macrocode} + \compvectsub{#1}{x}{#2}, + \compvectsub{#1}{y}{#2}, + \compvectsub{#1}{z}{#2}\rv}} \ifthenelse{\boolean{@optdoubleabsbars}} {\newcommand{\magvectsub}[2]{\ensuremath{\magof{\vectsub{#1}{#2}}}}} {\newcommand{\magvectsub}[2]{\ensuremath{\abs{\vectsub{#1}{#2}}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\magvectsubscomps} -% \begin{macrocode} \newcommand{\magvectsubscomps}[2]{\ensuremath{\sqrt{ - \msup{\compvectsub{#1}{#2}{x}}{2}+ - \msup{\compvectsub{#1}{#2}{y}}{2}+ - \msup{\compvectsub{#1}{#2}{z}}{2}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\dirvectsub} -% \begin{macrocode} + \msup{\compvectsub{#1}{x}{#2}}{2}+ + \msup{\compvectsub{#1}{y}{#2}}{2}+ + \msup{\compvectsub{#1}{z}{#2}}{2}}}} \ifthenelse{\boolean{@optitalicvectors}} {\newcommand{\dirvectsub}[2]{\ensuremath{\ssub{\widehat{#1}}{#2}}}} {\newcommand{\dirvectsub}[2]{\ensuremath{\ssub{\widehat{\mathrm{#1}}}{#2}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\dvectsub} -% \begin{macro}{\Dvectsub} -% \begin{macrocode} \newcommand{\dvectsub}[2]{\ensuremath{\mathrm{d}\vectsub{#1}{#2}}} \newcommand{\Dvectsub}[2]{\ensuremath{\Delta\vectsub{#1}{#2}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\compdvectsub} -% \begin{macro}{\compDvectsub} -% \begin{macrocode} \newcommand{\compdvectsub}[3]{\ensuremath{\mathrm{d}\compvectsub{#1}{#2}{#3}}} \newcommand{\compDvectsub}[3]{\ensuremath{\Delta\compvectsub{#1}{#2}{#3}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\scompsdvectsub} -% \begin{macro}{\scompsDvectsub} -% \begin{macrocode} \newcommand{\scompsdvectsub}[2]{\ensuremath{\lv - \compdvectsub{#1}{#2}{x}, - \compdvectsub{#1}{#2}{y}, - \compdvectsub{#1}{#2}{z}\rv}} + \compdvectsub{#1}{x}{#2}, + \compdvectsub{#1}{y}{#2}, + \compdvectsub{#1}{z}{#2}\rv}} \newcommand{\scompsDvectsub}[2]{\ensuremath{\lv - \compDvectsub{#1}{#2}{x}, - \compDvectsub{#1}{#2}{y}, - \compDvectsub{#1}{#2}{z},\rv}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dermagvectsub} -% \begin{macro}{\Dermagvectsub} -% \begin{macrocode} + \compDvectsub{#1}{x}{#2}, + \compDvectsub{#1}{y}{#2}, + \compDvectsub{#1}{z}{#2}\rv}} \newcommand{\dermagvectsub}[3]{\ensuremath{\dbyd{\magvectsub{#1}{#2}}{#3}}} \newcommand{\Dermagvectsub}[3]{\ensuremath{\DbyD{\magvectsub{#1}{#2}}{#3}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dervectsub} -% \begin{macro}{\Dervectsub} -% \begin{macrocode} \newcommand{\dervectsub}[3]{\ensuremath{\dbyd{\vectsub{#1}{#2}}{#3}}} \newcommand{\Dervectsub}[3]{\ensuremath{\DbyD{\vectsub{#1}{#2}}{#3}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\magdervectsub} -% \begin{macro}{\magDervectsub} -% \begin{macrocode} \ifthenelse{\boolean{@optdoubleabsbars}} {\newcommand{\magdervectsub}[3]{\ensuremath{\magof{\dervectsub{#1}{#2}{#3}}}} \newcommand{\magDervectsub}[3]{\ensuremath{\magof{\Dervectsub{#1}{#2}{#3}}}}} {\newcommand{\magdervectsub}[3]{\ensuremath{\abs{\dervectsub{#1}{#2}{#3}}}} \newcommand{\magDervectsub}[3]{\ensuremath{\abs{\Dervectsub{#1}{#2}{#3}}}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\compdervectsub} -% \begin{macro}{\compDervectsub} -% \begin{macrocode} -\newcommand{\compdervectsub}[4]{\ensuremath{\dbyd{\compvectsub{#1}{#2}{#4}}{#3}}} -\newcommand{\compDervectsub}[4]{\ensuremath{\DbyD{\compvectsub{#1}{#2}{#4}}{#3}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\scompsdervectsub} -% \begin{macro}{\scompsDervectsub} -% \begin{macrocode} +\newcommand{\compdervectsub}[4]{\ensuremath{\dbyd{\compvectsub{#1}{#2}{#3}}{#4}}} +\newcommand{\compDervectsub}[4]{\ensuremath{\DbyD{\compvectsub{#1}{#2}{#3}}{#4}}} \newcommand{\scompsdervectsub}[3]{\ensuremath{\lv - \compdervectsub{#1}{#2}{#3}{x}, - \compdervectsub{#1}{#2}{#3}{y}, - \compdervectsub{#1}{#2}{#3}{z}\rv}} + \compdervectsub{#1}{x}{#2}{#3}, + \compdervectsub{#1}{y}{#2}{#3}, + \compdervectsub{#1}{z}{#2}{#3}\rv}} \newcommand{\scompsDervectsub}[3]{\ensuremath{\lv - \compDervectsub{#1}{#2}{#3}{x}, - \compDervectsub{#1}{#2}{#3}{y}, - \compDervectsub{#1}{#2}{#3}{z}\rv}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\comppossub} -% \begin{macrocode} -\newcommand{\comppossub}[2]{\ensuremath{\ssub{#2}{#1}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\scompspossub} -% \begin{macrocode} + \compDervectsub{#1}{x}{#2}{#3}, + \compDervectsub{#1}{y}{#2}{#3}, + \compDervectsub{#1}{z}{#2}{#3}\rv}} +\newcommand{\comppossub}[2]{\ensuremath{\ssub{#1}{#2}}} \newcommand{\scompspossub}[1]{\ensuremath{\lv - \comppossub{#1}{x}, - \comppossub{#1}{y}, - \comppossub{#1}{z}\rv}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\compdpossub} -% \begin{macro}{\compDpossub} -% \begin{macrocode} + \comppossub{x}{#1}, + \comppossub{y}{#1}, + \comppossub{z}{#1}\rv}} \newcommand{\compdpossub}[2]{\ensuremath{\mathrm{d}\comppossub{#1}{#2}}} \newcommand{\compDpossub}[2]{\ensuremath{\Delta\comppossub{#1}{#2}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\scompsdpossub} -% \begin{macro}{\scompsDpossub} -% \begin{macrocode} \newcommand{\scompsdpossub}[1]{\ensuremath{\lv - \compdpossub{#1}{x}, - \compdpossub{#1}{y}, - \compdpossub{#1}{z}\rv}} + \compdpossub{x}{#1}, + \compdpossub{y}{#1}, + \compdpossub{z}{#1}\rv}} \newcommand{\scompsDpossub}[1]{\ensuremath{\lv - \compDpossub{#1}{x}, - \compDpossub{#1}{y}, - \compDpossub{#1}{z}\rv}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\compderpossub} -% \begin{macro}{\compDerpossub} -% \begin{macrocode} -\newcommand{\compderpossub}[3]{\ensuremath{\dbyd{\comppossub{#1}{#3}}{#2}}} -\newcommand{\compDerpossub}[3]{\ensuremath{\DbyD{\comppossub{#1}{#3}}{#2}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\scompsderpossub} -% \begin{macro}{\scompsDerpossub} -% \begin{macrocode} + \compDpossub{x}{#1}, + \compDpossub{y}{#1}, + \compDpossub{z}{#1}\rv}} +\newcommand{\compderpossub}[3]{\ensuremath{\dbyd{\comppossub{#1}{#2}}{#3}}} +\newcommand{\compDerpossub}[3]{\ensuremath{\DbyD{\comppossub{#1}{#2}}{#3}}} \newcommand{\scompsderpossub}[2]{\ensuremath{\lv - \compderpossub{#1}{#2}{x}, - \compderpossub{#1}{#2}{y}, - \compderpossub{#1}{#2}{z}\rv}} + \compderpossub{x}{#1}{#2}, + \compderpossub{y}{#1}{#2}, + \compderpossub{z}{#1}{#2}\rv}} \newcommand{\scompsDerpossub}[2]{\ensuremath{\lv - \compDerpossub{#1}{#2}{x}, - \compDerpossub{#1}{#2}{y}, - \compDerpossub{#1}{#2}{z}\rv}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\relpos} -% \begin{macrocode} + \compDerpossub{x}{#1}{#2}, + \compDerpossub{y}{#1}{#2}, + \compDerpossub{z}{#1}{#2}\rv}} \newcommand{\relpos}[1]{\ensuremath{\vectsub{r}{#1}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\relvel} -% \begin{macrocode} \newcommand{\relvel}[1]{\ensuremath{\vectsub{v}{#1}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\relmom} -% \begin{macrocode} \newcommand{\relmom}[1]{\ensuremath{\vectsub{p}{#1}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\relfor} -% \begin{macrocode} \newcommand{\relfor}[1]{\ensuremath{\vectsub{F}{#1}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\vectdotvect} -% \begin{macrocode} \newcommand{\vectdotvect}[2]{\ensuremath{{#1}\bullet{#2}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\vectdotsvect} -% \begin{macrocode} \newcommand{\vectdotsvect}[2]{\ensuremath{\scompsvect{#1}\bullet\scompsvect{#2}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\vectdotevect} -% \begin{macrocode} \newcommand{\vectdotevect}[2]{\ensuremath{ \compvect{#1}{x}\compvect{#2}{x}+ \compvect{#1}{y}\compvect{#2}{y}+ \compvect{#1}{z}\compvect{#2}{z}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\vectdotspos} -% \begin{macrocode} \newcommand{\vectdotspos}[1]{\ensuremath{\scompsvect{#1}\bullet\scompspos}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\vectdotepos} -% \begin{macrocode} \newcommand{\vectdotepos}[1]{\ensuremath{ \compvect{#1}{x}\comppos{x}+ \compvect{#1}{y}\comppos{y}+ \compvect{#1}{z}\comppos{z}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\vectdotsdvect} -% \begin{macro}{\vectdotsDvect} -% \begin{macrocode} \newcommand{\vectdotsdvect}[2]{\ensuremath{\scompsvect{#1}\bullet\scompsdvect{#2}}} \newcommand{\vectdotsDvect}[2]{\ensuremath{\scompsvect{#1}\bullet\scompsDvect{#2}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\vectdotedvect} -% \begin{macro}{\vectdoteDvect} -% \begin{macrocode} \newcommand{\vectdotedvect}[2]{\ensuremath{ \compvect{#1}{x}\compdvect{#2}{x}+ \compvect{#1}{y}\compdvect{#2}{y}+ @@ -5837,22 +7605,8 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \compvect{#1}{x}\compDvect{#2}{x}+ \compvect{#1}{y}\compDvect{#2}{y}+ \compvect{#1}{z}\compDvect{#2}{z}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\vectdotsdpos} -% \begin{macro}{\vectdotsDpos} -% \begin{macrocode} \newcommand{\vectdotsdpos}[1]{\ensuremath{\scompsvect{#1}\bullet\scompsdpos}} \newcommand{\vectdotsDpos}[1]{\ensuremath{\scompsvect{#1}\bullet\scompsDpos}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\vectdotedpos} -% \begin{macro}{\vectdoteDpos} -% \begin{macrocode} \newcommand{\vectdotedpos}[1]{\ensuremath{ \compvect{#1}{x}\compdpos{x}+ \compvect{#1}{y}\compdpos{y}+ @@ -5861,242 +7615,113 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \compvect{#1}{x}\compDpos{x}+ \compvect{#1}{y}\compDpos{y}+ \compvect{#1}{z}\compDpos{z}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\vectsubdotsvectsub} -% \begin{macrocode} \newcommand{\vectsubdotsvectsub}[4]{\ensuremath{ \scompsvectsub{#1}{#2}\bullet\scompsvectsub{#3}{#4}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\vectsubdotevectsub} -% \begin{macrocode} \newcommand{\vectsubdotevectsub}[4]{\ensuremath{ - \compvectsub{#1}{#2}{x}\compvectsub{#3}{#4}{x}+ - \compvectsub{#1}{#2}{y}\compvectsub{#3}{#4}{y}+ - \compvectsub{#1}{#2}{z}\compvectsub{#3}{#4}{z}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\vectsubdotsdvectsub} -% \begin{macro}{\vectsubdotsDvectsub} -% \begin{macrocode} -\newcommand{\vectsubdotsdvectsub}[4]{\ensuremath{ + \compvectsub{#1}{x}{#2}\compvectsub{#3}{x}{#4}+ + \compvectsub{#1}{y}{#2}\compvectsub{#3}{y}{#4}+ + \compvectsub{#1}{z}{#2}\compvectsub{#3}{z}{#4}}} +\newcommand{\vectsubdotsdvectsub}[4]{\ensuremath{% \scompsvectsub{#1}{#2}\bullet\scompsdvectsub{#3}{#4}}} -\newcommand{\vectsubdotsDvectsub}[4]{\ensuremath{ +\newcommand{\vectsubdotsDvectsub}[4]{\ensuremath{% \scompsvectsub{#1}{#2}\bullet\scompsDvectsub{#3}{#4}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\vectsubdotedvectsub} -% \begin{macro}{\vectsubdoteDvectsub} -% \begin{macrocode} \newcommand{\vectsubdotedvectsub}[4]{\ensuremath{ - \compvectsub{#1}{#2}{x}\compdvectsub{#3}{#4}{x}+ - \compvectsub{#1}{#2}{y}\compdvectsub{#3}{#4}{y}+ - \compvectsub{#1}{#2}{z}\compdvectsub{#3}{#4}{z}}} + \compvectsub{#1}{x}{#2}\compdvectsub{#3}{x}{#4}+ + \compvectsub{#1}{y}{#2}\compdvectsub{#3}{y}{#4}+ + \compvectsub{#1}{z}{#2}\compdvectsub{#3}{z}{#4}}} \newcommand{\vectsubdoteDvectsub}[4]{\ensuremath{ - \compvectsub{#1}{#2}{x}\compDvectsub{#3}{#4}{x}+ - \compvectsub{#1}{#2}{y}\compDvectsub{#3}{#4}{y}+ - \compvectsub{#1}{#2}{z}\compDvectsub{#3}{#4}{z}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\vectsubdotsdvect} -% \begin{macro}{\vectsubdotsDvect} -% \begin{macrocode} + \compvectsub{#1}{x}{#2}\compDvectsub{#3}{x}{#4}+ + \compvectsub{#1}{y}{#2}\compDvectsub{#3}{y}{#4}+ + \compvectsub{#1}{z}{#2}\compDvectsub{#3}{z}{#4}}} \newcommand{\vectsubdotsdvect}[3]{\ensuremath{ \scompsvectsub{#1}{#2}\bullet\scompsdvect{#3}}} \newcommand{\vectsubdotsDvect}[3]{\ensuremath{ \scompsvectsub{#1}{#2}\bullet\scompsDvect{#3}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\vectsubdotedvect} -% \begin{macro}{\vectsubdoteDvect} -% \begin{macrocode} \newcommand{\vectsubdotedvect}[3]{\ensuremath{ - \compvectsub{#1}{#2}{x}\compdvect{#3}{x}+ - \compvectsub{#1}{#2}{y}\compdvect{#3}{y}+ - \compvectsub{#1}{#2}{z}\compdvect{#3}{z}}} + \compvectsub{#1}{x}{#2}\compdvect{x}{#3}+ + \compvectsub{#1}{y}{#2}\compdvect{y}{#3}+ + \compvectsub{#1}{z}{#2}\compdvect{z}{#3}}} \newcommand{\vectsubdoteDvect}[3]{\ensuremath{ - \compvectsub{#1}{#2}{x}\compDvect{#3}{x}+ - \compvectsub{#1}{#2}{y}\compDvect{#3}{y}+ - \compvectsub{#1}{#2}{z}\compDvect{#3}{z}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\vectsubdotsdpos} -% \begin{macro}{\vectsubdotsDpos} -% \begin{macrocode} + \compvectsub{#1}{x}{#2}\compDvect{x}{#3}+ + \compvectsub{#1}{y}{#2}\compDvect{y}{#3}+ + \compvectsub{#1}{z}{#2}\compDvect{z}{#3}}} \newcommand{\vectsubdotsdpos}[2]{\ensuremath{ \scompsvectsub{#1}{#2}\bullet\scompsdpos}} \newcommand{\vectsubdotsDpos}[2]{\ensuremath{ \scompsvectsub{#1}{#2}\bullet\scompsDpos}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\vectsubdotedpos} -% \begin{macro}{\vectsubdoteDpos} -% \begin{macrocode} \newcommand{\vectsubdotedpos}[2]{\ensuremath{ - \compvectsub{#1}{#2}{x}\compdpos{x}+ - \compvectsub{#1}{#2}{y}\compdpos{y}+ - \compvectsub{#1}{#2}{z}\compdpos{z}}} + \compvectsub{#1}{x}{#2}\compdpos{x}+ + \compvectsub{#1}{y}{#2}\compdpos{y}+ + \compvectsub{#1}{z}{#2}\compdpos{z}}} \newcommand{\vectsubdoteDpos}[2]{\ensuremath{ - \compvectsub{#1}{#2}{x}\compDpos{x}+ - \compvectsub{#1}{#2}{y}\compDpos{y}+ - \compvectsub{#1}{#2}{z}\compDpos{z}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dervectdotsvect} -% \begin{macro}{\Dervectdotsvect} -% \begin{macrocode} + \compvectsub{#1}{x}{#2}\compDpos{x}+ + \compvectsub{#1}{y}{#2}\compDpos{y}+ + \compvectsub{#1}{z}{#2}\compDpos{z}}} \newcommand{\dervectdotsvect}[3]{\ensuremath{ \scompsdervect{#1}{#2}\bullet\scompsvect{#3}}} \newcommand{\Dervectdotsvect}[3]{\ensuremath{ \scompsDervect{#1}{#2}\bullet\scompsvect{#3}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dervectdotevect} -% \begin{macro}{\Dervectdotevect} -% \begin{macrocode} \newcommand{\dervectdotevect}[3]{\ensuremath{ - \compdervect{#1}{#2}{x}\compvect{#3}{x}+ - \compdervect{#1}{#2}{y}\compvect{#3}{y}+ - \compdervect{#1}{#2}{z}\compvect{#3}{z}}} + \compdervect{#1}{x}{#2}\compvect{x}{#3}+ + \compdervect{#1}{y}{#2}\compvect{y}{#3}+ + \compdervect{#1}{z}{#2}\compvect{z}{#3}}} \newcommand{\Dervectdotevect}[3]{\ensuremath{ - \compDervect{#1}{#2}{x}\compvect{#3}{x}+ - \compDervect{#1}{#2}{y}\compvect{#3}{y}+ - \compDervect{#1}{#2}{z}\compvect{#3}{z}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\vectdotsdervect} -% \begin{macro}{\vectdotsDervect} -% \begin{macrocode} + \compDervect{#1}{x}{#2}\compvect{x}{#3}+ + \compDervect{#1}{y}{#2}\compvect{y}{#3}+ + \compDervect{#1}{z}{#2}\compvect{z}{#3}}} \newcommand{\vectdotsdervect}[3]{\ensuremath{ \scompsvect{#1}\bullet\scompsdervect{#2}{#3}}} \newcommand{\vectdotsDervect}[3]{\ensuremath{ \scompsvect{#1}\bullet\scompsDervect{#2}{#3}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\vectdotedervect} -% \begin{macro}{\vectdoteDervect} -% \begin{macrocode} \newcommand{\vectdotedervect}[3]{\ensuremath{ - \compvect{#1}{x}\compdervect{#2}{#3}{x}+ - \compvect{#1}{y}\compdervect{#2}{#3}{y}+ - \compvect{#1}{z}\compdervect{#2}{#3}{z}}} + \compvect{#1}{x}\compdervect{#2}{x}{#3}+ + \compvect{#1}{y}\compdervect{#2}{y}{#3}+ + \compvect{#1}{z}\compdervect{#2}{z}{#3}}} \newcommand{\vectdoteDervect}[3]{\ensuremath{ - \compvect{#1}{x}\compDervect{#2}{#3}{x}+ - \compvect{#1}{y}\compDervect{#2}{#3}{y}+ - \compvect{#1}{z}\compDervect{#2}{#3}{z}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dervectdotspos} -% \begin{macro}{\Dervectdotspos} -% \begin{macrocode} + \compvect{#1}{x}\compDervect{#2}{x}{#3}+ + \compvect{#1}{y}\compDervect{#2}{y}{#3}+ + \compvect{#1}{z}\compDervect{#2}{z}{#3}}} \newcommand{\dervectdotspos}[2]{\ensuremath{ \scompsdervect{#1}{#2}\bullet\scompspos}} \newcommand{\Dervectdotspos}[2]{\ensuremath{ \scompsDervect{#1}{#2}\bullet\scompspos}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dervectdotepos} -% \begin{macro}{\Dervectdotepos} -% \begin{macrocode} \newcommand{\dervectdotepos}[2]{\ensuremath{ - \compdervect{#1}{#2}{x}\comppos{x}+ - \compdervect{#1}{#2}{y}\comppos{y}+ - \compdervect{#1}{#2}{z}\comppos{z}}} + \compdervect{#1}{x}{#2}\comppos{x}+ + \compdervect{#1}{y}{#2}\comppos{y}+ + \compdervect{#1}{z}{#2}\comppos{z}}} \newcommand{\Dervectdotepos}[2]{\ensuremath{ - \compDervect{#1}{#2}{x}\comppos{x}+ - \compDervect{#1}{#2}{y}\comppos{y}+ - \compDervect{#1}{#2}{z}\comppos{z}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dervectdotsdvect} -% \begin{macro}{\DervectdotsDvect} -% \begin{macrocode} + \compDervect{#1}{x}{#2}\comppos{x}+ + \compDervect{#1}{y}{#2}\comppos{y}+ + \compDervect{#1}{z}{#2}\comppos{z}}} \newcommand{\dervectdotsdvect}[3]{\ensuremath{ \scompsdervect{#1}{#2}\bullet\scompsdvect{#3}}} \newcommand{\DervectdotsDvect}[3]{\ensuremath{ \scompsDervect{#1}{#2}\bullet\scompsDvect{#3}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dervectdotedvect} -% \begin{macro}{\DervectdoteDvect} -% \begin{macrocode} \newcommand{\dervectdotedvect}[3]{\ensuremath{ - \compdervect{#1}{#2}{x}\compdvect{#3}{x}+ - \compdervect{#1}{#2}{y}\compdvect{#3}{y}+ - \compdervect{#1}{#2}{z}\compdvect{#3}{z}}} + \compdervect{#1}{x}{#2}\compdvect{#3}{x}+ + \compdervect{#1}{y}{#2}\compdvect{#3}{y}+ + \compdervect{#1}{z}{#2}\compdvect{#3}{z}}} \newcommand{\DervectdoteDvect}[3]{\ensuremath{ - \compDervect{#1}{#2}{x}\compDvect{#3}{x}+ - \compDervect{#1}{#2}{y}\compDvect{#3}{y}+ - \compDervect{#1}{#2}{z}\compDvect{#3}{z}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dervectdotsdpos} -% \begin{macro}{\DervectdotsDpos} -% \begin{macrocode} + \compDervect{#1}{x}{#2}\compDvect{#3}{x}+ + \compDervect{#1}{y}{#2}\compDvect{#3}{y}+ + \compDervect{#1}{z}{#2}\compDvect{#3}{z}}} \newcommand{\dervectdotsdpos}[2]{\ensuremath{ \scompsdervect{#1}{#2}\bullet\scompsdpos}} \newcommand{\DervectdotsDpos}[2]{\ensuremath{ \scompsDervect{#1}{#2}\bullet\scompsDpos}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dervectdotedpos} -% \begin{macro}{\DervectdoteDpos} -% \begin{macrocode} \newcommand{\dervectdotedpos}[2]{\ensuremath{ - \compdervect{#1}{#2}{x}\compdpos{x}+ - \compdervect{#1}{#2}{y}\compdpos{y}+ - \compdervect{#1}{#2}{z}\compdpos{z}}} + \compdervect{#1}{x}{#2}\compdpos{x}+ + \compdervect{#1}{y}{#2}\compdpos{y}+ + \compdervect{#1}{z}{#2}\compdpos{z}}} \newcommand{\DervectdoteDpos}[2]{\ensuremath{ - \compDervect{#1}{#2}{x}\compDpos{x}+ - \compDervect{#1}{#2}{y}\compDpos{y}+ - \compDervect{#1}{#2}{z}\compDpos{z}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\ezero} -% \begin{macro}{\eone} -% \begin{macro}{\etwo} -% \begin{macro}{\ethree} -% \begin{macro}{\efour} -% \begin{macro}{\ek} -% \begin{macro}{\e} -% \begin{macrocode} + \compDervect{#1}{x}{#2}\compDpos{x}+ + \compDervect{#1}{y}{#2}\compDpos{y}+ + \compDervect{#1}{z}{#2}\compDpos{z}}} +\newcommand{\vectcrossvect}[2]{\ensuremath{{#1}\times{#2}}} +\newcommand{\ltriplecross}[3]{\ensuremath{({#1}\times{#2})\times{#3}}} +\newcommand{\rtriplecross}[3]{\ensuremath{{#1}\times({#2}\times{#3})}} +\newcommand{\ltriplescalar}[3]{\ensuremath{{#1}\times{#2}\bullet{#3}}} +\newcommand{\rtriplescalar}[3]{\ensuremath{{#1}\bullet{#2}\times{#3}}} \newcommand{\ezero}{\ensuremath{\msub{\mathbf{e}}{0}}} \newcommand{\eone}{\ensuremath{\msub{\mathbf{e}}{1}}} \newcommand{\etwo}{\ensuremath{\msub{\mathbf{e}}{2}}} @@ -6104,23 +7729,6 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \newcommand{\efour}{\ensuremath{\msub{\mathbf{e}}{4}}} \newcommand{\ek}[1]{\ensuremath{\msub{\mathbf{e}}{#1}}} \newcommand{\e}{\ek} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\uezero} -% \begin{macro}{\ueone} -% \begin{macro}{\uetwo} -% \begin{macro}{\uethree} -% \begin{macro}{\uefour} -% \begin{macro}{\uek} -% \begin{macro}{\ue} -% \begin{macrocode} \newcommand{\uezero}{\ensuremath{\msub{\widehat{\mathbf{e}}}{0}}} \newcommand{\ueone}{\ensuremath{\msub{\widehat{\mathbf{e}}}{1}}} \newcommand{\uetwo}{\ensuremath{\msub{\widehat{\mathbf{e}}}{2}}} @@ -6128,34 +7736,11 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \newcommand{\uefour}{\ensuremath{\msub{\widehat{\mathbf{e}}}{4}}} \newcommand{\uek}[1]{\ensuremath{\msub{\widehat{\mathbf{e}}}{#1}}} \newcommand{\ue}{\uek} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\ezerozero} -% \begin{macro}{\eoneone} -% \begin{macro}{\eonetwo} -% \begin{macro}{\eonethree} -% \begin{macro}{\eonefour} -% \begin{macro}{\etwoone} -% \begin{macro}{\etwotwo} -% \begin{macro}{\etwothree} -% \begin{macro}{\etwofour} -% \begin{macro}{\ethreeone} -% \begin{macro}{\ethreetwo} -% \begin{macro}{\ethreethree} -% \begin{macro}{\ethreefour} -% \begin{macro}{\efourone} -% \begin{macro}{\efourtwo} -% \begin{macro}{\efourthree} -% \begin{macro}{\efourfour} -% \begin{macrocode} \newcommand{\ezerozero}{\ek{00}} +\newcommand{\ezeroone}{\ek{01}} +\newcommand{\ezerotwo}{\ek{02}} +\newcommand{\ezerothree}{\ek{03}} +\newcommand{\ezerofour}{\ek{04}} \newcommand{\eoneone}{\ek{11}} \newcommand{\eonetwo}{\ek{12}} \newcommand{\eonethree}{\ek{13}} @@ -6172,33 +7757,6 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \newcommand{\efourtwo}{\ek{42}} \newcommand{\efourthree}{\ek{43}} \newcommand{\efourfour}{\ek{44}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\euzero} -% \begin{macro}{\euone} -% \begin{macro}{\eutwo} -% \begin{macro}{\euthree} -% \begin{macro}{\eufour} -% \begin{macro}{\euk} -% \begin{macro}{\eu} -% \begin{macrocode} \newcommand{\euzero}{\ensuremath{\msup{\mathbf{e}}{0}}} \newcommand{\euone}{\ensuremath{\msup{\mathbf{e}}{1}}} \newcommand{\eutwo}{\ensuremath{\msup{\mathbf{e}}{2}}} @@ -6206,35 +7764,11 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \newcommand{\eufour}{\ensuremath{\msup{\mathbf{e}}{4}}} \newcommand{\euk}[1]{\ensuremath{\msup{\mathbf{e}}{#1}}} \newcommand{\eu}{\euk} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \newpage -% \begin{macro}{\euzerozero} -% \begin{macro}{\euoneone} -% \begin{macro}{\euonetwo} -% \begin{macro}{\euonethree} -% \begin{macro}{\euonefour} -% \begin{macro}{\eutwoone} -% \begin{macro}{\eutwotwo} -% \begin{macro}{\eutwothree} -% \begin{macro}{\eutwofour} -% \begin{macro}{\euthreeone} -% \begin{macro}{\euthreetwo} -% \begin{macro}{\euthreethree} -% \begin{macro}{\euthreefour} -% \begin{macro}{\eufourone} -% \begin{macro}{\eufourtwo} -% \begin{macro}{\eufourthree} -% \begin{macro}{\eufourfour} -% \begin{macrocode} \newcommand{\euzerozero}{\euk{00}} +\newcommand{\euzeroone}{\euk{01}} +\newcommand{\euzerotwo}{\euk{02}} +\newcommand{\euzerothree}{\euk{03}} +\newcommand{\euzerofour}{\euk{04}} \newcommand{\euoneone}{\euk{11}} \newcommand{\euonetwo}{\euk{12}} \newcommand{\euonethree}{\euk{13}} @@ -6251,33 +7785,6 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \newcommand{\eufourtwo}{\euk{42}} \newcommand{\eufourthree}{\euk{43}} \newcommand{\eufourfour}{\euk{44}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\gzero} -% \begin{macro}{\gone} -% \begin{macro}{\gtwo} -% \begin{macro}{\gthree} -% \begin{macro}{\gfour} -% \begin{macro}{\gk} -% \begin{macro}{\g} -% \begin{macrocode} \newcommand{\gzero}{\ensuremath{\msub{\mathbf{\gamma}}{0}}} \newcommand{\gone}{\ensuremath{\msub{\mathbf{\gamma}}{1}}} \newcommand{\gtwo}{\ensuremath{\msub{\mathbf{\gamma}}{2}}} @@ -6285,34 +7792,11 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \newcommand{\gfour}{\ensuremath{\msub{\mathbf{\gamma}}{4}}} \newcommand{\gk}[1]{\ensuremath{\msub{\mathbf{\gamma}}{#1}}} \newcommand{\g}{\gk} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\gzerozero} -% \begin{macro}{\goneone} -% \begin{macro}{\gonetwo} -% \begin{macro}{\gonethree} -% \begin{macro}{\gonefour} -% \begin{macro}{\gtwoone} -% \begin{macro}{\gtwotwo} -% \begin{macro}{\gtwothree} -% \begin{macro}{\gtwofour} -% \begin{macro}{\gthreeone} -% \begin{macro}{\gthreetwo} -% \begin{macro}{\gthreethree} -% \begin{macro}{\gthreefour} -% \begin{macro}{\gfourone} -% \begin{macro}{\gfourtwo} -% \begin{macro}{\gfourthree} -% \begin{macro}{\gfourfour} -% \begin{macrocode} \newcommand{\gzerozero}{\gk{00}} +\newcommand{\gzeroone}{\gk{01}} +\newcommand{\gzerotwo}{\gk{02}} +\newcommand{\gzerothree}{\gk{03}} +\newcommand{\gzerofour}{\gk{04}} \newcommand{\goneone}{\gk{11}} \newcommand{\gonetwo}{\gk{12}} \newcommand{\gonethree}{\gk{13}} @@ -6329,34 +7813,6 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \newcommand{\gfourtwo}{\gk{42}} \newcommand{\gfourthree}{\gk{43}} \newcommand{\gfourfour}{\gk{44}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \newpage -% \begin{macro}{\guzero} -% \begin{macro}{\guone} -% \begin{macro}{\gutwo} -% \begin{macro}{\guthree} -% \begin{macro}{\gufour} -% \begin{macro}{\guk} -% \begin{macro}{\gu} -% \begin{macrocode} \newcommand{\guzero}{\ensuremath{\msup{\mathbf{\gamma}}{0}}} \newcommand{\guone}{\ensuremath{\msup{\mathbf{\gamma}}{1}}} \newcommand{\gutwo}{\ensuremath{\msup{\mathbf{\gamma}}{2}}} @@ -6364,34 +7820,11 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \newcommand{\gufour}{\ensuremath{\msup{\mathbf{\gamma}}{4}}} \newcommand{\guk}[1]{\ensuremath{\msup{\mathbf{\gamma}}{#1}}} \newcommand{\gu}{\guk} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\guzerozero} -% \begin{macro}{\guoneone} -% \begin{macro}{\guonetwo} -% \begin{macro}{\guonethree} -% \begin{macro}{\guonefour} -% \begin{macro}{\gutwoone} -% \begin{macro}{\gutwotwo} -% \begin{macro}{\gutwothree} -% \begin{macro}{\gutwofour} -% \begin{macro}{\guthreeone} -% \begin{macro}{\guthreetwo} -% \begin{macro}{\guthreethree} -% \begin{macro}{\guthreefour} -% \begin{macro}{\gufourone} -% \begin{macro}{\gufourtwo} -% \begin{macro}{\gufourthree} -% \begin{macro}{\gufourfour} -% \begin{macrocode} \newcommand{\guzerozero}{\guk{00}} +\newcommand{\guzeroone}{\guk{01}} +\newcommand{\guzerotwo}{\guk{02}} +\newcommand{\guzerothree}{\guk{03}} +\newcommand{\guzerofour}{\guk{04}} \newcommand{\guoneone}{\guk{11}} \newcommand{\guonetwo}{\guk{12}} \newcommand{\guonethree}{\guk{13}} @@ -6408,29 +7841,7 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \newcommand{\gufourtwo}{\guk{42}} \newcommand{\gufourthree}{\guk{43}} \newcommand{\gufourfour}{\guk{44}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\mivector} -% Vectors formated as in M\&I, written in LaTeX3 -% \begin{macrocode} -\ExplSyntaxOn +\ExplSyntaxOn % Vectors formated as in M\&I, written in LaTeX3 \NewDocumentCommand{\mivector}{ O{,} m o }% {% \mi_vector:nn { #1 } { #2 } @@ -6447,14 +7858,7 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] }% }% \ExplSyntaxOff -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\colvector} -% \begin{macro}{\rowvector} -% Column and row vectors, written in LaTeX3 -% \begin{macrocode} -\ExplSyntaxOn +\ExplSyntaxOn % Column and row vectors, written in LaTeX3 \seq_new:N \l__vector_arg_seq \cs_new_protected:Npn \vector_main:nnnn #1 #2 #3 #4 {% @@ -6476,12 +7880,6 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] }% }% \ExplSyntaxOff -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\scompscvect} -% \begin{macrocode} \newcommandx{\scompscvect}[2][1,usedefault]{% \ifthenelse{\equal{#1}{}}% {% @@ -6491,11 +7889,6 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \colvector{\msub{#2}{0},\msub{#2}{1},\msub{#2}{2},\msub{#2}{3}}% }% }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\scompsrvect} -% \begin{macrocode} \newcommandx{\scompsrvect}[2][1,usedefault]{% \ifthenelse{\equal{#1}{}}% {% @@ -6505,451 +7898,142 @@ neque, id pulvinar odio lorem non turpis. Nullam sit amet enim.] \rowvector[,]{\msub{#2}{0},\msub{#2}{1},\msub{#2}{2},\msub{#2}{3}}% }% }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\oofpez} -% Coulomb constant -% \begin{macrocode} \newphysicsconstant{oofpez}{\ensuremath{\frac{1}{\phantom{_o}4\pi\ssub{\epsilon}{o}}}} -{\scin[9]{9}}{\ensuremath{\m\cubed\usk\kg\usk\reciprocalquartic\s\usk\\reciprocalsquared}} +{\scin[8.9876]{9}}{\m\cubed\usk\kg\usk\reciprocalquartic\s\usk\A\reciprocalsquared} [\m\per\farad][\newton\usk\m\squared\per\coulomb\squared] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\oofpezcs} -% Coulomb constant (alternate) -% \begin{macrocode} +\newcommand{\coulombconstant}{\oofpez} \newphysicsconstant{oofpezcs}{\ensuremath{\frac{1}{\phantom{_o}4\pi\ssub{\epsilon}{o} c^2\phantom{_o}}}}{\scin{-7}}{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared} [\T\usk\m\squared][\N\usk\s\squared\per\C\squared] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\epsz} -% vacuum permittivity -% \begin{macrocode} -\newphysicsconstant{epsz}{\ensuremath{\ssub{\epsilon}{o}}}{\scin[9]{-12}} +\newcommand{\altcoulombconstant}{\oofpezcs} +\newphysicsconstant{vacuumpermittivity}{\ensuremath{\ssub{\epsilon}{o}}}{\scin[8.8542]{-12}} {\m\reciprocalcubed\usk\reciprocal\kg\usk\s\quarted\usk\A\squared}[\F\per\m] [\C\squared\per\N\usk\m\squared] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\mzofp} -% Biot-Savart constant -% \begin{macrocode} \newphysicsconstant{mzofp}{\ensuremath{\frac{\phantom{_oo}\ssub{\mu}{o}\phantom{_o}} {4\pi}}}{\scin{-7}}{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared} -[\henry\per\m] -[\tesla\usk\m\per\A] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\muz} -% vacuum permeability -% \begin{macrocode} -\newphysicsconstant{muz}{\ensuremath{\ssub{\mu}{o}}}{\scin[4\pi]{-7}} +[\henry\per\m][\tesla\usk\m\per\A] +\newcommand{\biotsavartconstant}{\mzofp} +\newphysicsconstant{vacuumpermeability}{\ensuremath{\ssub{\mu}{o}}}{\scin[4\pi]{-7}} {\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}[\henry\per\m] [\T\usk\m\per\A] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\kboltz} -% Boltzmann constant -% \begin{macrocode} -\newphysicsconstant{kboltz}{\ensuremath{\ssub{k}{B}}}{\scin[1.38]{-23}} -{\kg\usk\m\squared\usk\reciprocalsquare\s\usk\reciprocal\K}[\joule\per\K][\J\per\K] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\kboltznev} -% Boltzmann constant (alternate) -% \begin{macrocode} -\newcommand{\kboltznev}{\ensuremath{\scin[8.62]{-5}{\eV\per\K}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\stefan} -% Stefan-Boltzmann constant -% \begin{macrocode} -\newphysicsconstant{stefan}{\ensuremath{\sigma}}{\scin[5.67]{-8}} +\newphysicsconstant{boltzmann}{\ensuremath{\ssub{k}{B}}}{\scin[1.3806]{-23}} +{\m\squared\usk\kg\usk\reciprocalsquare\s\usk\reciprocal\K}[\joule\per\K][\J\per\K] +\newcommand{\boltzmannconstant}{\boltzmann} +\newphysicsconstant{boltzmanninev}{\ensuremath{\ssub{k}{B}}}{\scin[8.6173]{-5}} +{\eV\usk\reciprocal\K}[\eV\per\K][\eV\per\K] +\newphysicsconstant{stefanboltzmann}{\ensuremath{\sigma}}{\scin[5.6704]{-8}} {\kg\usk\s\reciprocalcubed\usk\K\reciprocalquarted}[\W\per\m\squared\usk\K^4] [\W\per\m\squared\usk\K\quarted] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\planck} -% Planck constant -% \begin{macrocode} -\newphysicsconstant{planck}{\ensuremath{h}}{\scin[6.62]{-34}} -{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s][\kg\usk\m\squared\per\s] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\plancknev} -% Planck constant (alternate) -% \begin{macrocode} -\newcommand{\plancknev}{\ensuremath{\scin[4.136]{-15}{\eV\usk\s}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\planckbar} -% reduced Planck constant (Dirac constant) -% \begin{macrocode} -\newphysicsconstant{planckbar}{\ensuremath{\hbar}}{\scin[1.05]{-34}} -{\m\squared\usk\kg\usk\reciprocal\s}[\joule\usk\s][\kg\usk\m\squared\per\s] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\planckbarnev} -% reduced Planck constant (alternate) -% \begin{macrocode} -\newcommand{\planckbarnev}{\ensuremath{\scin[4.136]{-15}{\eV\usk\s}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Navogadro} -% Avogadro constant -% \begin{macrocode} -\newphysicsconstant{Navogadro}{\ensuremath{\ssub{N}{A}}}{\scin[6.022]{23}} +\newcommand{\stefanboltzmannconstant}{\stefanboltzmann} +\newphysicsconstant{planck}{\ensuremath{h}}{\scin[6.6261]{-34}} +{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s][\J\usk\s] +\newcommand{\planckconstant}{\planck} +\newphysicsconstant{planckinev}{\ensuremath{h}}{\scin[4.1357]{-15}} +{\eV\usk\s}[\eV\usk\s][\eV\usk\s] +\newphysicsconstant{planckbar}{\ensuremath{\hbar}}{\scin[1.0546]{-34}} +{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s][\J\usk\s] +\newcommand{\reducedplanckconstant}{\planckbar} +\newphysicsconstant{planckbarinev}{\ensuremath{\hbar}}{\scin[6.5821]{-16}} +{\eV\usk\s}[\eV\usk\s][\eV\usk\s] +\newphysicsconstant{planckc}{\ensuremath{hc}}{\scin[1.9864]{-25}} +{\m\cubed\usk\kg\usk\reciprocalsquare\s}[\J\usk\m][\J\usk\m] +\newcommand{\planckconstanttimesc}{\planckc} +\newphysicsconstant{planckcinev}{\ensuremath{hc}}{\scin[1.9864]{-25}} +{\eV\usk\ensuremath{\mathrm{n}\m}}[\eV\usk\ensuremath{\mathrm{n}\m}] +[\eV\usk\ensuremath{\mathrm{n}\m}] +\newphysicsconstant{rydberg}{\ensuremath{\msub{R}{\infty}}}{\scin[1.0974]{7}} +{\reciprocal\m}[\reciprocal\m][\reciprocal\m] +\newcommand{\rydbergconstant}{\rydberg} +\newphysicsconstant{bohrradius}{\ensuremath{\msub{a}{0}}}{\scin[5.2918]{-11}}{\m}[\m][\m] +\newphysicsconstant{finestructure}{\ensuremath{\alpha}}{\scin[7.2974]{-3}}{\relax} +\newcommand{\finestructureconstant}{\finestructure} +\newphysicsconstant{avogadro}{\ensuremath{\ssub{N}{A}}}{\scin[6.0221]{23}} {\reciprocal\mol}[\reciprocal\mol][\reciprocal\mol] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\bigG} -% universal gravitational constant -% \begin{macrocode} -\newphysicsconstant{bigG}{\ensuremath{G}}{\scin[6.67]{-11}} +\newcommand{\avogadroconstant}{\avogadro} +\newphysicsconstant{universalgrav}{\ensuremath{G}}{\scin[6.6738]{-11}} {\m\cubed\usk\reciprocal\kg\usk\s\reciprocalsquared}[\J\usk\m\per\kg\squared] [\N\usk\m\squared\per\kg\squared] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\littleg} -% gravitational field strength at Earth's surface -% \begin{macrocode} -\newphysicsconstant{littleg}{\ensuremath{g}}{9.80}{\m\usk\s\reciprocalsquared} +\newcommand{\universalgravitationalconstant}{\universalgrav} +\newphysicsconstant{surfacegravfield}{\ensuremath{g}}{9.80}{\m\usk\s\reciprocalsquared} [\N\per\kg][\m\per\s\squared] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\clight} -% light's speed -% \begin{macrocode} -\newphysicsconstant{clight}{\ensuremath{c}}{\scin[3.00]{8}}{\m\usk\reciprocal\s} -[\m\usk\reciprocal\s][\m\per\s] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\clightnfn} -% light's speed (alternate) -% \begin{macrocode} -\newcommand{\clightnfn}{\ensuremath{\unit{1}{\mathrm{ft}\per\mathrm{n}\s}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Ratom} -% approximate atomic radius -% \begin{macrocode} +\newcommand{\earthssurfacegravitationalfield}{\surfacegravfield} +\newphysicsconstant{clight}{\ensuremath{c}}{\scin[2.9979]{8}}{\m\usk\reciprocal\s} +[\m\per\s][\m\per\s] +\newcommand{\photonconstant}{\clight} +\newphysicsconstant{clightinfeet}{\ensuremath{c}}{0.9836} +{\ensuremath{\mathrm{ft}\usk\reciprocal\mathrm{n}\s}} +[\ensuremath{\mathrm{ft}\per\mathrm{n}\s}][\ensuremath{\mathrm{ft}\per\mathrm{n}\s}] \newphysicsconstant{Ratom}{\ensuremath{\ssub{r}{atom}}}{\scin{-10}}{\m}[\m][\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Mproton} -% proton's mass -% \begin{macrocode} -\newphysicsconstant{Mproton}{\ensuremath{\ssub{m}{proton}}}{\scin[1.673]{-27}} +\newcommand{\radiusofatom}{\Ratom} +\newphysicsconstant{Mproton}{\ensuremath{\ssub{m}{proton}}}{\scin[1.6726]{-27}} {\kg}[\kg][\kg] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Mneutron} -% neutron's mass -% \begin{macrocode} -\newphysicsconstant{Mneutron}{\ensuremath{\ssub{m}{neutron}}}{\scin[1.675]{-27}} +\newcommand{\massofproton}{\Mproton} +\newphysicsconstant{Mneutron}{\ensuremath{\ssub{m}{neutron}}}{\scin[1.6749]{-27}} {\kg}[\kg][\kg] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Mhydrogen} -% hydrogen atom's mass -% \begin{macrocode} -\newphysicsconstant{Mhydrogen}{\ensuremath{\ssub{m}{hydrogen}}}{\scin[1.673]{-27}} +\newcommand{\massofneutron}{\Mneutron} +\newphysicsconstant{Mhydrogen}{\ensuremath{\ssub{m}{hydrogen}}}{\scin[1.6737]{-27}} {\kg}[\kg][\kg] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Melectron} -% electron's mass -% \begin{macrocode} -\newphysicsconstant{Melectron}{\ensuremath{\ssub{m}{electron}}}{\scin[9.109]{-31}} +\newcommand{\massofhydrogen}{\Mhydrogen} +\newphysicsconstant{Melectron}{\ensuremath{\ssub{m}{electron}}}{\scin[9.1094]{-31}} {\kg}[\kg][\kg] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\echarge} -% charge quantum -% \begin{macrocode} -\newphysicsconstant{echarge}{\ensuremath{e}}{\scin[1.602]{-19}}{\A\usk\s}[\C][\C] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Qelectron} -% \begin{macro}{\qelectron} -% electron's charge -% \begin{macrocode} +\newcommand{\massofelectron}{\Melectron} +\newphysicsconstant{echarge}{\ensuremath{e}}{\scin[1.6022]{-19}}{\A\usk\s}[\C][\C] +\newcommand{\elementarycharge}{\echarge} \newphysicsconstant{Qelectron}{\ensuremath{\ssub{Q}{electron}}}{-\echargevalue} {\A\usk\s}[\C][\C] \newphysicsconstant{qelectron}{\ensuremath{\ssub{q}{electron}}}{-\echargevalue} {\A\usk\s}[\C][\C] -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\Qproton} -% \begin{macro}{\qproton} -% proton's charge -% \begin{macrocode} +\newcommand{\chargeofelectron}{\Qelectron} \newphysicsconstant{Qproton}{\ensuremath{\ssub{Q}{proton}}}{+\echargevalue} {\A\usk\s}[\C][\C] \newphysicsconstant{qproton}{\ensuremath{\ssub{q}{proton}}}{+\echargevalue} {\A\usk\s}[\C][\C] -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\MEarth} -% Earth's mass -% \begin{macrocode} -\newphysicsconstant{MEarth}{\ensuremath{\ssub{M}{Earth}}}{\scin[6]{24}}{\kg}[\kg][\kg] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\MMoon} -% Moon's mass -% \begin{macrocode} -\newphysicsconstant{MMoon}{\ensuremath{\ssub{M}{Moon}}}{\scin[7]{22}}{\kg}[\kg][\kg] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\MSun} -% Sun's mass -% \begin{macrocode} -\newphysicsconstant{MSun}{\ensuremath{\ssub{M}{Sun}}}{\scin[2]{30}}{\kg}[\kg][\kg] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\REarth} -% Earth's radius -% \begin{macrocode} -\newphysicsconstant{REarth}{\ensuremath{\ssub{R}{Earth}}}{\scin[6.4]{6}}{\m}[\m][\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\RMoon} -% Moon's radius -% \begin{macrocode} -\newphysicsconstant{RMoon}{\ensuremath{\ssub{R}{Moon}}}{\scin[1.75]{6}}{\m}[\m][\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\RSun} -% Sun's radius -% \begin{macrocode} -\newphysicsconstant{RSun}{\ensuremath{\ssub{R}{Sun}}}{\scin[7]{8}}{\m}[\m][\m] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\ESdist} -% \begin{macro}{\SEdist} -% Earth-Sun distance (Sun-Earth distance) -% \begin{macrocode} -\newphysicsconstant{ESdist}{\magvectsub{r}{ES}}{\scin[1.5]{11}}{\m}[\m][\m] -\newphysicsconstant{SEdist}{\magvectsub{r}{SE}}{\scin[1.5]{11}}{\m}[\m][\m] -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\EMdist} -% \begin{macro}{\MEdist} -% Earth-Moon distance (Moon-Earth distance) -% \begin{macrocode} -\newphysicsconstant{EMdist}{\magvectsub{r}{EM}}{\scin[4]{8}}{\m}[\m][\m] -\newphysicsconstant{MEdist}{\magvectsub{r}{ME}}{\scin[4]{8}}{\m}[\m][\m] -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\lightyear} -% \begin{macro}{\Lightyear} -% \begin{macro}{\cyear} -% \begin{macro}{\cyr} -% \begin{macro}{\yyear} -% \begin{macro}{\yr} -% \begin{macro}{\parsec} -% light year, year, and parsec -% \begin{macrocode} -\newcommand{\lightyear}{\ensuremath{\mathrm{ly}}} -\newcommand{\Lightyear}{\ensuremath{\mathrm{LY}}} -\newcommand{\cyear}{\ensuremath{c\usk\mathrm{year}}} -\newcommand{\cyr}{\ensuremath{c\usk\mathrm{yr}}} -\newcommand{\yyear}{\ensuremath{\mathrm{year}}} -\newcommand{\yr}{\ensuremath{\mathrm{yr}}} -\newcommand{\parsec}{\ensuremath{\mathrm{pc}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\LSun} -% Sun's luminosity -% \begin{macrocode} -\newphysicsconstant{LSun}{\ensuremath{\ssub{L}{Sun}}}{\scin[4]{26}} +\newcommand{\chargeofproton}{\Qproton} +\newphysicsconstant{MEarth}{\ensuremath{\ssub{M}{Earth}}}{\scin[5.9736]{24}}{\kg}[\kg][\kg] +\newcommand{\massofEarth}{\MEarth} +\newphysicsconstant{MMoon}{\ensuremath{\ssub{M}{Moon}}}{\scin[7.3459]{22}}{\kg}[\kg][\kg] +\newcommand{\massofMoon}{\MMoon} +\newphysicsconstant{MSun}{\ensuremath{\ssub{M}{Sun}}}{\scin[1.9891]{30}}{\kg}[\kg][\kg] +\newcommand{\massofSun}{\MSun} +\newphysicsconstant{REarth}{\ensuremath{\ssub{R}{Earth}}}{\scin[6.3675]{6}}{\m}[\m][\m] +\newcommand{\radiusofEarth}{\REarth} +\newphysicsconstant{RMoon}{\ensuremath{\ssub{R}{Moon}}}{\scin[1.7375]{6}}{\m}[\m][\m] +\newcommand{\radiusofMoon}{\RMoon} +\newphysicsconstant{RSun}{\ensuremath{\ssub{R}{Sun}}}{\scin[6.9634]{8}}{\m}[\m][\m] +\newcommand{\radiusofSun}{\RSun} +\newphysicsconstant{ESdist}{\magvectsub{r}{ES}}{\scin[1.4960]{11}}{\m}[\m][\m] +\newphysicsconstant{SEdist}{\magvectsub{r}{SE}}{\scin[1.4960]{11}}{\m}[\m][\m] +\newcommand{\EarthSundistance}{\ESdist} +\newcommand{\SunEarthdistance}{\SEdist} +\newphysicsconstant{EMdist}{\magvectsub{r}{EM}}{\scin[3.8440]{8}}{\m}[\m][\m] +\newphysicsconstant{MEdist}{\magvectsub{r}{ME}}{\scin[3.8440]{8}}{\m}[\m][\m] +\newcommand{\EarthMoondistance}{\ESdist} +\newcommand{\MoonEarthdistance}{\SEdist} +\newphysicsconstant{LSun}{\ensuremath{\ssub{L}{Sun}}}{\scin[3.8460]{26}} {\m\squared\usk\kg\usk\s\reciprocalcubed}[\W][\J\per\s] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\TSun} -% Sun's effective temperature -% \begin{macrocode} -\newphysicsconstant{TSun}{\ensuremath{\ssub{T}{Sun}}}{5800}{\K}[\K][\K] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\MagSun} -% Sun's absolute magnitude -% \begin{macrocode} +\newphysicsconstant{TSun}{\ensuremath{\ssub{T}{Sun}}}{5778}{\K}[\K][\K] \newphysicsconstant{MagSun}{\ensuremath{\ssub{M}{Sun}}}{+4.83}{}[][] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\magSun} -% Sun's apparent magnitude -% \begin{macrocode} \newphysicsconstant{magSun}{\ensuremath{\ssub{m}{Sun}}}{-26.74}{}[][] -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Lstar} -% \begin{macro}{\Lsolar} -% stellar and solar luminosity -% \begin{macrocode} \newcommand{\Lstar}[1][\(\star\)]{\ensuremath{\ssub{L}{#1}}} \newcommand{\Lsolar}{\ensuremath{\Lstar[\(\odot\)]}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\Tstar} -% \begin{macro}{\Tsolar} -% stellar and solar temperature -% \begin{macrocode} \newcommand{\Tstar}[1][\(\star\)]{\ensuremath{\ssub{T}{#1}}} \newcommand{\Tsolar}{\ensuremath{\Tstar[\(\odot\)]}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\Rstar} -% \begin{macro}{\Rsolar} -% stellar and solar radius -% \begin{macrocode} \newcommand{\Rstar}[1][\(\star\)]{\ensuremath{\ssub{R}{#1}}} \newcommand{\Rsolar}{\ensuremath{\Rstar[\(\odot\)]}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\Mstar} -% \begin{macro}{\Msolar} -% stellar and solar mass -% \begin{macrocode} \newcommand{\Mstar}[1][\(\star\)]{\ensuremath{\ssub{M}{#1}}} \newcommand{\Msolar}{\ensuremath{\Mstar[\(\odot\)]}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\Fstar} -% \begin{macro}{\fstar} -% \begin{macro}{\FSun} -% \begin{macro}{\fSun} -% \begin{macro}{\Fsolar} -% \begin{macro}{\fsolar} -% stellar and solar fluxes -% \begin{macrocode} \newcommand{\Fstar}[1][\(\star\)]{\ensuremath{\ssub{F}{#1}}} \newcommand{\fstar}[1][\(\star\)]{\ensuremath{\ssub{f}{#1}}} -\newcommand{\FSun}{\ensuremath{\Fstar[Sun]}} -\newcommand{\fSun}{\ensuremath{\fstar[Sun]}} \newcommand{\Fsolar}{\ensuremath{\Fstar[\(\odot\)]}} \newcommand{\fsolar}{\ensuremath{\fstar[\(\odot\)]}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\Magstar} -% \begin{macro}{\magstar} -% \begin{macro}{\Magsolar} -% \begin{macro}{\magsolar} -% stellar and solar magnitudes -% \begin{macrocode} \newcommand{\Magstar}[1][\(\star\)]{\ensuremath{\ssub{M}{#1}}} \newcommand{\magstar}[1][\(\star\)]{\ensuremath{\ssub{m}{#1}}} \newcommand{\Magsolar}{\ensuremath{\Magstar[\(\odot\)]}} \newcommand{\magsolar}{\ensuremath{\magstar[\(\odot\)]}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\Dstar} -% \begin{macro}{\dstar} -% \begin{macro}{\Dsolar} -% \begin{macro}{\dsolar} -% stellar and solar distance -% \begin{macrocode} \newcommand{\Dstar}[1][\(\star\)]{\ensuremath{\ssub{D}{#1}}} \newcommand{\dstar}[1][\(\star\)]{\ensuremath{\ssub{d}{#1}}} \newcommand{\Dsolar}{\ensuremath{\Dstar[\(\odot\)]}} \newcommand{\dsolar}{\ensuremath{\dstar[\(\odot\)]}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\onehalf} -% \begin{macro}{\onethird} -% \begin{macro}{\onefourth} -% \begin{macro}{\onefifth} -% \begin{macro}{\onesixth} -% \begin{macro}{\oneseventh} -% \begin{macro}{\oneeighth} -% \begin{macro}{\oneninth} -% \begin{macro}{\onetenth} -% \begin{macro}{\twothirds} -% \begin{macro}{\twofifths} -% \begin{macro}{\twosevenths} -% \begin{macro}{\twoninths} -% \begin{macro}{\threehalves} -% \begin{macro}{\threefourths} -% \begin{macro}{\threefifths} -% \begin{macro}{\threesevenths} -% \begin{macro}{\threeeighths} -% \begin{macro}{\threetenths} -% \begin{macro}{\fourthirds} -% frequently used fractions -% \begin{macrocode} \newcommand{\onehalf}{\ensuremath{\frac{1}{2}}\xspace} \newcommand{\onethird}{\ensuremath{\frac{1}{3}}\xspace} \newcommand{\onefourth}{\ensuremath{\frac{1}{4}}\xspace} @@ -6959,200 +8043,84 @@ c^2\phantom{_o}}}}{\scin{-7}}{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocal \newcommand{\oneeighth}{\ensuremath{\frac{1}{8}}\xspace} \newcommand{\oneninth}{\ensuremath{\frac{1}{9}}\xspace} \newcommand{\onetenth}{\ensuremath{\frac{1}{10}}\xspace} +\newcommand{\twooneths}{\ensuremath{\frac{2}{1}}\xspace} +\newcommand{\twohalves}{\ensuremath{\frac{2}{2}}\xspace} \newcommand{\twothirds}{\ensuremath{\frac{2}{3}}\xspace} +\newcommand{\twofourths}{\ensuremath{\frac{2}{4}}\xspace} \newcommand{\twofifths}{\ensuremath{\frac{2}{5}}\xspace} +\newcommand{\twosixths}{\ensuremath{\frac{2}{6}}\xspace} \newcommand{\twosevenths}{\ensuremath{\frac{2}{7}}\xspace} +\newcommand{\twoeighths}{\ensuremath{\frac{2}{8}}\xspace} \newcommand{\twoninths}{\ensuremath{\frac{2}{9}}\xspace} +\newcommand{\twotenths}{\ensuremath{\frac{2}{10}}\xspace} +\newcommand{\threeoneths}{\ensuremath{\frac{3}{1}}\xspace} \newcommand{\threehalves}{\ensuremath{\frac{3}{2}}\xspace} +\newcommand{\threethirds}{\ensuremath{\frac{3}{3}}\xspace} \newcommand{\threefourths}{\ensuremath{\frac{3}{4}}\xspace} \newcommand{\threefifths}{\ensuremath{\frac{3}{5}}\xspace} +\newcommand{\threesixths}{\ensuremath{\frac{3}{6}}\xspace} \newcommand{\threesevenths}{\ensuremath{\frac{3}{7}}\xspace} \newcommand{\threeeighths}{\ensuremath{\frac{3}{8}}\xspace} +\newcommand{\threeninths}{\ensuremath{\frac{3}{9}}\xspace} \newcommand{\threetenths}{\ensuremath{\frac{3}{10}}\xspace} +\newcommand{\fouroneths}{\ensuremath{\frac{4}{1}}\xspace} +\newcommand{\fourhalves}{\ensuremath{\frac{4}{2}}\xspace} \newcommand{\fourthirds}{\ensuremath{\frac{4}{3}}\xspace} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dx} -% variable of integration -% \begin{macrocode} +\newcommand{\fourfourths}{\ensuremath{\frac{4}{4}}\xspace} +\newcommand{\fourfifths}{\ensuremath{\frac{4}{5}}\xspace} +\newcommand{\foursixths}{\ensuremath{\frac{4}{6}}\xspace} +\newcommand{\foursevenths}{\ensuremath{\frac{4}{7}}\xspace} +\newcommand{\foureighths}{\ensuremath{\frac{4}{8}}\xspace} +\newcommand{\fourninths}{\ensuremath{\frac{4}{9}}\xspace} +\newcommand{\fourtenths}{\ensuremath{\frac{4}{10}}\xspace} \newcommand{\dx}[1]{\ensuremath{\,\mathrm{d}{#1}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\evalfromto} -% \begin{macrocode} \newcommand{\evalfromto}[3]{\ensuremath{\Bigg.{#1}\Bigg\rvert_{#2}^{#3}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\evalat} -% \begin{macrocode} \@ifpackageloaded{physymb}{% \typeout{mandi: Package physymb detected. Its commands will be used.} }{% \newcommand{\evalat}[2]{\ensuremath{\Bigg.{#1}\Bigg\rvert_{#2}}} }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\evaluatedat} -% \begin{macrocode} \newcommand{\evaluatedat}[1]{\ensuremath{\Bigg.\Bigg\rvert_{#1}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\integral} -% \begin{macro}{\Integral} -% \begin{macrocode} \newcommandx{\integral}[4][1,2,usedefault]{\ensuremath{ \int_{\ifthenelse{\equal{#1}{}}{}{#4=#1}}^{\ifthenelse{\equal{#2}{}}{}{#4=#2}}} {#3}\dx{#4}} \newcommandx{\Integral}[4][1,2,usedefault]{\ensuremath{ \bigint_{\ifthenelse{\equal{#1}{}}{}{#4=#1}}^{\ifthenelse{\equal{#2}{}}{} {#4=#2}}}{#3}\dx{#4}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\opensurfintegral} -% \begin{macro}{\opensurfIntegral} -% \begin{macrocode} \newcommand{\opensurfintegral}[2]{\ensuremath{ \int\nolimits_{#1}\vectdotvect{\vect{#2}}{\dirvect{n}}\dx{A}}} \newcommand{\opensurfIntegral}[2]{\ensuremath{ \bigint\nolimits_{\mskip -25.00mu\displaystyle\mathbf{#1}} \vectdotvect{\vect{#2}}{\dirvect{n}} \dx{A}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\closedsurfintegral} -% \begin{macro}{\closedsurfIntegral} -% \begin{macrocode} \newcommand{\closedsurfintegral}[2]{\ensuremath{ \oint\nolimits_{#1}\vectdotvect{\vect{#2}}{\dirvect{n}}\dx{A}}} \newcommand{\closedsurfIntegral}[2]{\ensuremath{ \bigoint\nolimits_{\mskip -25.00mu\displaystyle\mathbf{#1}}\;\; \vectdotvect{\vect{#2}}{\dirvect{n}}\dx{A}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\openlineintegral} -% \begin{macro}{\openlineIntegral} -% \begin{macrocode} \newcommand{\openlineintegral}[2]{\ensuremath{ \int\nolimits_{#1}\vectdotvect{\vect{#2}}{\dirvect{t}} \dx{\ell}}} \newcommand{\openlineIntegral}[2]{\ensuremath{ \bigint\nolimits_{\mskip -25.00mu\displaystyle\mathbf{#1}} \vectdotvect{\vect{#2}}{\dirvect{t}}\dx{\ell}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\closedlineintegral} -% \begin{macro}{\closedlineIntegral} -% \begin{macrocode} \newcommand{\closedlineintegral}[2]{\ensuremath{ \oint\nolimits_{#1}\vectdotvect{\vect{#2}}{\dirvect{t}}\dx{\ell}}} \newcommand{\closedlineIntegral}[2]{\ensuremath{ \bigoint\nolimits_{\mskip -25.00mu\displaystyle\mathbf {#1}}\;\; \vectdotvect{\vect{#2}}{\dirvect{t}}\dx{\ell}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dbydt} -% \begin{macro}{\DbyDt} -% \begin{macrocode} \newcommandx{\dbydt}[1][1]{\ensuremath{\frac{\mathrm{d}{#1}}{\mathrm{d}t}}} \newcommandx{\DbyDt}[1][1]{\ensuremath{\frac{\Delta{#1}}{\Delta t}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\ddbydt} -% \begin{macro}{\DDbyDt} -% \begin{macrocode} \newcommandx{\ddbydt}[1][1]{\ensuremath{\frac{\mathrm{d}^{2}{#1}}{\mathrm{d}t^{2}}}} \newcommandx{\DDbyDt}[1][1]{\ensuremath{\frac{\Delta^{2}{#1}}{\Delta t^{2}}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\pbypt} -% \begin{macrocode} \newcommandx{\pbypt}[1][1]{\ensuremath{\frac{\partial{#1}}{\partial t}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\ppbypt} -% \begin{macrocode} \newcommandx{\ppbypt}[1][1]{\ensuremath{\frac{\partial^{2}{#1}}{\partial t^{2}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\dbyd} -% \begin{macro}{\DbyD} -% \begin{macrocode} \newcommand{\dbyd}[2]{\ensuremath{\frac{\mathrm{d}{#1}}{\mathrm{d}{#2}}}} \newcommand{\DbyD}[2]{\ensuremath{\frac{\Delta{#1}}{\Delta{#2}}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\ddbyd} -% \begin{macro}{\DDbyD} -% \begin{macrocode} \newcommand{\ddbyd}[2]{\ensuremath{\frac{\mathrm{d}^{2}{#1}}{\mathrm{d}{#2}^{2}}}} \newcommand{\DDbyD}[2]{\ensuremath{\frac{\Delta^{2}{#1}}{\Delta{#2}^{2}}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\pbyp} -% \begin{macrocode} \newcommand{\pbyp}[2]{\ensuremath{\frac{\partial{#1}}{\partial{#2}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\ppbyp} -% \begin{macrocode} \newcommand{\ppbyp}[2]{\ensuremath{\frac{\partial^{2}{#1}}{\partial{#2}^{2}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\seriesfofx} -% \begin{macro}{\seriesexpx} -% \begin{macro}{\seriessinx} -% \begin{macro}{\seriescosx} -% \begin{macro}{\seriestanx} -% \begin{macro}{\seriesatox} -% \begin{macro}{\serieslnoneplusx} -% \begin{macro}{\binomialseries} -% \begin{macrocode} \newcommand{\seriesfofx}{\ensuremath{% f(x) \approx f(a) + \frac{f^\prime (a)}{1!}(x-a) + \frac{f^{\prime\prime}(a)}{2!}(x-a)^2 + \frac{f^{\prime\prime\prime}(a)}{3!}(x-a)^3 + \ldots}\xspace} @@ -7172,25 +8140,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \xspace} \newcommand{\binomialseries}{\ensuremath{% (1 + x)^n \approx 1 + nx + \frac{n(n-1)}{2!}x^2 + \ldots}\xspace} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\gradient} -% \begin{macro}{\divergence} -% \begin{macro}{\curl} -% \begin{macro}{\laplacian} -% \begin{macro}{\dalembertian} -% user must specify |\vect{}| around the argument to get arrows -% \begin{macrocode} \@ifpackageloaded{physymb}{% - \typeout{mandi: Package physymb detected. Its commands will be used.} + \typeout{mandi: Package physymb detected. Its commands will be used.} }{% \newcommand{\gradient}{\ensuremath{\nabla}} \newcommand{\divergence}{\ensuremath{\nabla\bullet}} @@ -7198,35 +8149,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand{\laplacian}{\ensuremath{\msup{\nabla}{2}}} \newcommand{\dalembertian}{\ensuremath{\Box}} }% -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\diracdelta} -% \begin{macrocode} \newcommand{\diracdelta}[1]{\ensuremath{\boldsymbol{\delta}\quant{#1}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\asin} -% \begin{macro}{\acos} -% \begin{macro}{\atan} -% \begin{macro}{\asec} -% \begin{macro}{\acsc} -% \begin{macro}{\acot} -% \begin{macro}{\sech} -% \begin{macro}{\csch} -% \begin{macro}{\asinh} -% \begin{macro}{\acosh} -% \begin{macro}{\atanh} -% \begin{macro}{\asech} -% \begin{macro}{\acsch} -% \begin{macro}{\acoth} -% \begin{macro}{\sgn} -% \begin{macrocode} \@ifpackageloaded{physymb}{% \typeout{mandi: Package physymb detected. Its commands will be used.} }{% @@ -7246,261 +8169,68 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \DeclareMathOperator{\acoth}{\coth^{-1}} \DeclareMathOperator{\sgn}{sgn} }% -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dex} -% \begin{macrocode} \DeclareMathOperator{\dex}{dex} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\eV} -% \begin{macro}{\ev} -% \begin{macrocode} -\newcommand{\eV}{\electronvolt} -\newcommand{\ev}{\electronvolt} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\logb} -% \begin{macrocode} \newcommand{\logb}[1][\relax]{\ensuremath{\log_{_{#1}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\cB} -% \begin{macrocode} \ifthenelse{\boolean{@optitalicvectors}} {\newcommand{\cB}{\ensuremath{c\mskip -5.00mu B}}} {\newcommand{\cB}{\ensuremath{\textsf{c}\mskip -3.00mu\mathrm{B}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\newpi} -% \begin{macrocode} \newcommand{\newpi}{\ensuremath{\pi\mskip -7.8mu\pi}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\scripty} -% \begin{macrocode} \newcommand{\scripty}[1]{\ensuremath{\mathcalligra{#1}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\flux} -% \begin{macrocode} \newcommandx{\flux}[1][1]{\ensuremath{\ssub{\Phi}{#1}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\abs} -% \begin{macrocode} \@ifpackageloaded{physymb}{% \typeout{mandi: Package physymb detected. Its commands will be used.} }{% \newcommand{\abs}[1]{\ensuremath{\left\lvert{#1}\right\rvert}} }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\magof} -% \begin{macrocode} \newcommand{\magof}[1]{\ensuremath{\left\lVert{#1}\right\rVert}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\dimsof} -% \begin{macrocode} \newcommand{\dimsof}[1]{\ensuremath{\left[{#1}\right]}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\unitsof} -% \begin{macrocode} \newcommand{\unitsof}[1]{\ensuremath{\left[{#1}\right]_{_{u}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\quant} -% \begin{macro}{\bquant} -% \begin{macrocode} \newcommand{\quant}[1]{\ensuremath{\left({#1}\right)}} \newcommand{\bquant}[1]{\ensuremath{\left[{#1}\right]}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\changein} -% \begin{macro}{\Changein} -% \begin{macrocode} \newcommand{\changein}[1]{\ensuremath{\delta{#1}}} \newcommand{\Changein}[1]{\ensuremath{\Delta{#1}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\scin} -% \begin{macro}{\ee} -% \begin{macro}{\EE} -% \begin{macrocode} -\newcommandx{\scin}[3][1,3=\!\!,usedefault]{\ensuremath{ +\newcommandx{\scin}[3][1,3=\!\!,usedefault]{\ensuremath{% \ifthenelse{\equal{#1}{}} {\unit{\msup{10}{#2}}{#3}} {\unit{\msup{{#1}\times 10}{#2}}{#3}}}} \newcommand{\ee}[2]{\texttt{{#1}e{#2}}} \newcommand{\EE}[2]{\texttt{{#1}E{#2}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\dms} -% \begin{macro}{\hms} -% \begin{macro}{\clockreading} -% \begin{macrocode} \newcommand{\dms}[3]{\ensuremath{\indegrees{#1}\inarcminutes{#2}\inarcseconds{#3}}} \newcommand{\hms}[3]{\ensuremath{{#1}^{\hour}{#2}^{\mathrm{m}}{#3}^{\s}}} \newcommand{\clockreading}{\hms} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\latitude} -% \begin{macro}{\latitudeN} -% \begin{macro}{\latitudeS} -% \begin{macro}{\longitude} -% \begin{macro}{\longitudeE} -% \begin{macro}{\longitudeW} -% \begin{macrocode} \newcommand{\latitude}[1]{\ensuremath{\unit{#1}{\degree}}} -\newcommand{\latitudeN}[1]{\ensuremath{\unit{#1}{\degree\; N}}} -\newcommand{\latitudeS}[1]{\ensuremath{\unit{#1}{\degree\; S}}} +\newcommand{\latitudeN}[1]{\ensuremath{\unit{#1}{\degree\;\mathrm{N}}}} +\newcommand{\latitudeS}[1]{\ensuremath{\unit{#1}{\degree\;\mathrm{S}}}} \newcommand{\longitude}[1]{\ensuremath{\unit{#1}{\degree}}} -\newcommand{\longitudeE}[1]{\ensuremath{\unit{#1}{\degree\; E}}} -\newcommand{\longitudeW}[1]{\ensuremath{\unit{#1}{\degree\; W}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\ssub} +\newcommand{\longitudeE}[1]{\ensuremath{\unit{#1}{\degree\;\mathrm{E}}}} +\newcommand{\longitudeW}[1]{\ensuremath{\unit{#1}{\degree\;\mathrm{W}}}} % I have never liked \LaTeX's default subscript positioning, so I have this % command instead. There may be a better way of doing this. -% \begin{macrocode} \newcommand{\ssub}[2]{\ensuremath{{#1}_{_{_{\mbox{\tiny{#2}}}}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\ssup} % I have never liked \LaTeX's default superscript positioning, so I have this % command instead. There may be a better way of doing this. -% \begin{macrocode} \newcommand{\ssup}[2]{\ensuremath{{#1}^{^{^{\mbox{\tiny{#2}}}}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\ssud} -% \begin{macrocode} \newcommand{\ssud}[3]{\ensuremath{{#1}^{^{^{\mbox{\tiny{#2}}}}}_{_{_{\mbox{\tiny{#3}}}}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\msub} % I have never liked \LaTeX's default subscript positioning, so I have this % command instead. There may be a better way of doing this. -% \begin{macrocode} \newcommand{\msub}[2]{\ensuremath{#1^{^{\scriptstyle{{}}}}_{_{_{\scriptstyle{#2}}}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\msup} % I have never liked \LaTeX's default superscript positioning, so I have this % command instead. There may be a better way of doing this. -% \begin{macrocode} \newcommand{\msup}[2]{\ensuremath{#1^{^{\scriptstyle{#2}}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\msud} -% \begin{macrocode} \newcommand{\msud}[3]{\ensuremath{#1^{^{\scriptstyle{#2}}}_{_{_{\scriptstyle{#3}}}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\levicivita} -% \begin{macrocode} \newcommand{\levicivita}[1]{\ensuremath{\msub{\varepsilon}{#1}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\xaxis} -% \begin{macro}{\yaxis} -% \begin{macro}{\zaxis} -% \begin{macro}{\naxis} -% Coordinate axes. -% \begin{macrocode} +\newcommand{\kronecker}[1]{\ensuremath{\msub{\delta}{#1}}} \newcommand{\xaxis}{\ensuremath{x\mbox{-axis }}} \newcommand{\yaxis}{\ensuremath{y\mbox{-axis }}} \newcommand{\zaxis}{\ensuremath{z\mbox{-axis }}} \newcommand{\naxis}[1]{\ensuremath{{#1}\mbox{-axis}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\xyplane} -% \begin{macro}{\yzplane} -% \begin{macro}{\zxplane} -% \begin{macro}{\yxplane} -% \begin{macro}{\zyplane} -% \begin{macro}{\xzplane} -% All permutations of planes formed by cartesian axes. -% \begin{macrocode} \newcommand{\xyplane}{\ensuremath{xy\mbox{-plane }}} \newcommand{\yzplane}{\ensuremath{yz\mbox{-plane }}} \newcommand{\zxplane}{\ensuremath{zx\mbox{-plane }}} \newcommand{\yxplane}{\ensuremath{yx\mbox{-plane }}} \newcommand{\zyplane}{\ensuremath{zy\mbox{-plane }}} \newcommand{\xzplane}{\ensuremath{xz\mbox{-plane }}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\cuberoot} -% \begin{macro}{\fourthroot} -% \begin{macro}{\fifthroot} -% \begin{macro}{\fsqrt} -% \begin{macro}{\fcuberoot} -% \begin{macro}{\ffourthroot} -% \begin{macro}{\ffifthroot} % Frequently used roots. Prepend |f| for fractional exponents. -% \begin{macrocode} \newcommand{\cuberoot}[1]{\ensuremath{\sqrt[3]{#1}}} \newcommand{\fourthroot}[1]{\ensuremath{\sqrt[4]{#1}}} \newcommand{\fifthroot}[1]{\ensuremath{\sqrt[5]{#1}}} @@ -7508,485 +8238,120 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand{\fcuberoot}[1]{\ensuremath{\msup{#1}{\onethird}}} \newcommand{\ffourthroot}[1]{\ensuremath{\msup{#1}{\onefourth}}} \newcommand{\ffifthroot}[1]{\ensuremath{\msup{#1}{\onefifth}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\relgamma} -% \begin{macro}{\frelgamma} -% \begin{macrocode} \newcommand{\relgamma}[1]{\ensuremath{ \frac{1}{\sqrt{1-\msup{\quant{\frac{#1}{c}}}{2}}}}} \newcommand{\frelgamma}[1]{\ensuremath{ \msup{\quant{1-\frac{\msup{{#1}}{2}}{\msup{c}{2}}}}{-\onehalf}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\oosqrtomxs} -% \begin{macrocode} \newcommand{\oosqrtomxs}[1]{\ensuremath{\frac{1}{\sqrt{1-\msup{#1}{2}}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\oosqrtomx} -% \begin{macrocode} \newcommand{\oosqrtomx}[1]{\ensuremath{\frac{1}{\sqrt{1-{#1}}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\ooomx} -% \begin{macrocode} \newcommand{\ooomx}[1]{\ensuremath{\frac{1}{1-{#1}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\ooopx} -% \begin{macrocode} \newcommand{\ooopx}[1]{\ensuremath{\frac{1}{1+{#1}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\isequals} -% \begin{macrocode} \newcommand{\isequals}{\wordoperator{?}{=}\xspace} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\wordoperator} -% \begin{macrocode} \newcommand{\wordoperator}[2]{\ensuremath{% \mathrel{\vcenter{\offinterlineskip \halign{\hfil\tiny\upshape##\hfil\cr\noalign{\vskip-.5ex} {#1}\cr\noalign{\vskip.5ex}{#2}\cr}}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\definedas} -% \begin{macro}{\associated} -% \begin{macro}{\adjustedby} -% \begin{macro}{\earlierthan} -% \begin{macro}{\laterthan} -% \begin{macro}{\forevery} -% \begin{macrocode} \newcommand{\definedas}{\wordoperator{defined}{as}\xspace} \newcommand{\associated}{\wordoperator{associated}{with}\xspace} \newcommand{\adjustedby}{\wordoperator{adjusted}{by}\xspace} \newcommand{\earlierthan}{\wordoperator{earlier}{than}\xspace} \newcommand{\laterthan}{\wordoperator{later}{than}\xspace} \newcommand{\forevery}{\wordoperator{for}{every}\xspace} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\pwordoperator} -% \begin{macrocode} \newcommand{\pwordoperator}[2]{\ensuremath{\left(% \mathrel{\vcenter{\offinterlineskip \halign{\hfil\tiny\upshape##\hfil\cr\noalign{\vskip-.5ex} {#1}\cr\noalign{\vskip.5ex}{#2}\cr}}}\right)}}% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\pdefinedas} -% \begin{macro}{\passociated} -% \begin{macro}{\padjustedby} -% \begin{macro}{\pearlierthan} -% \begin{macro}{\platerthan} -% \begin{macro}{\pforevery} -% \begin{macrocode} \newcommand{\pdefinedas}{\pwordoperator{defined}{as}\xspace} \newcommand{\passociated}{\pwordoperator{associated}{with}\xspace} \newcommand{\padjustedby}{\pwordoperator{adjusted}{by}\xspace} \newcommand{\pearlierthan}{\pwordoperator{earlier}{than}\xspace} \newcommand{\platerthan}{\pwordoperator{later}{than}\xspace} \newcommand{\pforevery}{\pwordoperator{for}{every}\xspace} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\defines} -% \begin{macrocode} \newcommand{\defines}{\ensuremath{\stackrel{\text{\tiny{def}}}{=}}\xspace} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\inframe} -% \begin{macrocode} -\newcommand{\inframe}[1][\relax]{\ensuremath{\xrightarrow[\tiny{\mathcal #1}]{}}\xspace} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\associates} -% \begin{macrocode} +\newcommand{\inframe}[1][\relax]{\ensuremath{\xrightarrow[\text\tiny{\mathcal #1}]{}}\xspace} \newcommand{\associates}{\ensuremath{\xrightarrow{\text{\tiny{assoc}}}}\xspace} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\becomes} -% \begin{macrocode} \newcommand{\becomes}{\ensuremath{\xrightarrow{\text{\tiny{becomes}}}}\xspace} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\lrelatedto} -% \begin{macro}{\rrelatedto} -% \begin{macro}{\brelatedto} -% \begin{macrocode} \newcommand{\rrelatedto}[1]{\ensuremath{\xLongrightarrow{\text{\tiny{#1}}}}} \newcommand{\lrelatedto}[1]{\ensuremath{\xLongleftarrow[\text{\tiny{#1}}]{}}} -\newcommand{\brelatedto}[2]{\ensuremath{ +\newcommand{\brelatedto}[2]{\ensuremath{% \xLongleftrightarrow[\text{\tiny{#1}}]{\text{\tiny{#2}}}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\momprinciple} -% \begin{macro}{\LHSmomprinciple} -% \begin{macro}{\RHSmomprinciple} -% \begin{macrocode} -\newcommand{\momprinciple}{\ensuremath{ +\newcommand{\momentumprinciple}{\ensuremath{ \vectsub{p}{sys,f}=\vectsub{p}{sys,i}+\Fnetsys\Delta t}} -\newcommand{\LHSmomprinciple}{\ensuremath{ +\newcommand{\LHSmomentumprinciple}{\ensuremath{% \vectsub{p}{sys,f}}} -\newcommand{\RHSmomprinciple}{\ensuremath{ +\newcommand{\RHSmomentumprinciple}{\ensuremath{% \vectsub{p}{sys,i}+\Fnetsys\Delta t}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\energyprinciple} -% \begin{macro}{\LHSenergyprinciple} -% \begin{macro}{\RHSenergyprinciple} -% \begin{macrocode} \newcommand{\energyprinciple}{\ensuremath{\ssub{E}{sys,f}=\ssub{E}{sys,i}+ \ssub{W}{ext}+Q}} \newcommand{\LHSenergyprinciple}{\ensuremath{\ssub{E}{sys,f}}} \newcommand{\RHSenergyprinciple}{\ensuremath{\ssub{E}{sys,i}+\ssub{W}{ext}+Q}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\angularmomprinciple} -% \begin{macro}{\LHSangularmomprinciple} -% \begin{macro}{\RHSangularmomprinciple} -% \begin{macrocode} -\newcommand{\angularmomprinciple}{\ensuremath{\vectsub{L}{sys,A,f}=\vectsub{L}{sys,A,i}+ +\newcommand{\angularmomentumprinciple}{\ensuremath{\vectsub{L}{sys,A,f}= + \vectsub{L}{sys,A,i}+\Tnetsys\Delta t}} +\newcommand{\LHSangularmomentumprinciple}{\ensuremath{\vectsub{L}{sys,A,f}}} +\newcommand{\RHSangularmomentumprinciple}{\ensuremath{\vectsub{L}{sys,A,i}+ \Tnetsys\Delta t}} -\newcommand{\LHSangularmomprinciple}{\ensuremath{\vectsub{L}{sys,A,f}}} -\newcommand{\RHSangularmomprinciple}{\ensuremath{\vectsub{L}{sys,A,i}+\Tnetsys\Delta t}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\gravinteraction} -% \begin{macrocode} -\newcommand{\gravinteraction}{\ensuremath{ - \bigGmathsymbol\frac{\msub{M}{1}\msub{M}{2}}{\msup{\magvectsub{r}{12}}{2}} +\newcommand{\gravitationalinteraction}{\ensuremath{% + \universalgravmathsymbol\frac{\msub{M}{1}\msub{M}{2}}{\msup{\magvectsub{r}{12}}{2}} \quant{-\dirvectsub{r}{12}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\elecinteraction} -% \begin{macrocode} -\newcommand{\elecinteraction}{\ensuremath{ +\newcommand{\electricinteraction}{\ensuremath{% \oofpezmathsymbol\frac{\msub{Q}{1}\msub{Q}{2}}{\msup{\magvectsub{r}{12}}{2}} \dirvectsub{r}{12}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Bfieldofparticle} -% \begin{macrocode} -\newcommand{\Bfieldofparticle}{\ensuremath{ +\newcommand{\Bfieldofparticle}{\ensuremath{% \mzofpmathsymbol\frac{Q\magvect{v}}{\msup{\magvect{r}}{2}}\dirvect{v}\times\dirvect{r}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Efieldofparticle} -% \begin{macrocode} -\newcommand{\Efieldofparticle}{\ensuremath{ +\newcommand{\Efieldofparticle}{\ensuremath{% \oofpezmathsymbol\frac{Q}{\msup{\magvect{r}}{2}}\dirvect{r}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Esys} -% \begin{macrocode} \newcommand{\Esys}{\ssub{E}{sys}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Us} -% \begin{macrocode} \newcommandx{\Us}[1][1]{\ssub{\ssub{U}{s}}{#1}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Ug} -% \begin{macrocode} \newcommandx{\Ug}[1][1]{\ssub{\ssub{U}{g}}{#1}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Ue} -% \begin{macrocode} \newcommandx{\Ue}[1][1]{\ssub{\ssub{U}{e}}{#1}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Ktrans} -% \begin{macrocode} \newcommandx{\Ktrans}[1][1]{\ssub{\ssub{K}{trans}}{#1}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Krot} -% \begin{macrocode} \newcommandx{\Krot}[1][1]{\ssub{\ssub{K}{rot}}{#1}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Eparticle} -% \begin{macrocode} \newcommandx{\Eparticle}[1][1]{\ssub{\ssub{E}{particle}}{#1}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Einternal} -% \begin{macrocode} \newcommandx{\Einternal}[1][1]{\ssub{\ssub{E}{internal}}{#1}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Erest} -% \begin{macrocode} \newcommandx{\Erest}[1][1]{\ssub{\ssub{E}{rest}}{#1}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Echem} -% \begin{macrocode} \newcommandx{\Echem}[1][1]{\ssub{\ssub{E}{chem}}{#1}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Etherm} -% \begin{macrocode} \newcommandx{\Etherm}[1][1]{\ssub{\ssub{E}{therm}}{#1}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Evib} -% \begin{macrocode} \newcommandx{\Evib}[1][1]{\ssub{\ssub{E}{vib}}{#1}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Ephoton} -% \begin{macrocode} \newcommandx{\Ephoton}[1][1]{\ssub{\ssub{E}{photon}}{#1}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\DEsys} -% \begin{macrocode} \newcommand{\DEsys}{\Changein\Esys} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\DUs} -% \begin{macrocode} \newcommand{\DUs}{\Changein\Us} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\DUg} -% \begin{macrocode} \newcommand{\DUg}{\Changein\Ug} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\DUe} -% \begin{macrocode} \newcommand{\DUe}{\Changein\Ue} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\DKtrans} -% \begin{macrocode} \newcommand{\DKtrans}{\Changein\Ktrans} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\DKrot} -% \begin{macrocode} \newcommand{\DKrot}{\Changein\Krot} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\DEparticle} -% \begin{macrocode} \newcommand{\DEparticle}{\Changein\Eparticle} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\DEinternal} -% \begin{macrocode} \newcommand{\DEinternal}{\Changein\Einternal} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\DErest} -% \begin{macrocode} \newcommand{\DErest}{\Changein\Erest} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\DEchem} -% \begin{macrocode} \newcommand{\DEchem}{\Changein\Echem} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\DEtherm} -% \begin{macrocode} \newcommand{\DEtherm}{\Changein\Etherm} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\DEvib} -% \begin{macrocode} \newcommand{\DEvib}{\Changein\Evib} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\DEphoton} -% \begin{macrocode} \newcommand{\DEphoton}{\Changein\Ephoton} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Usfinal} -% \begin{macrocode} \newcommand{\Usfinal}{\ssub{\left(\onehalf\ks \msup{s}{2}\right)}{f}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Usinitial} -% \begin{macrocode} \newcommand{\Usinitial}{\ssub{\left(\onehalf\ks \msup{s}{2}\right)}{i}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Ugfinal} -% \begin{macrocode} \newcommand{\Ugfinal}{\ssub{\left(-G\frac{\msub{M}{1}\msub{M}{2}} {\magvectsub{r}{12}}\right)}{f}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Uginitial} -% \begin{macrocode} \newcommand{\Uginitial}{\ssub{\left(-G\frac{\msub{M}{1}\msub{M}{2}} {\magvectsub{r}{12}}\right)}{i}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Uefinal} -% \begin{macrocode} \newcommand{\Uefinal}{\ssub{\left(\oofpezmathsymbol\frac{\ssub{Q}{1}\ssub{Q}{2}} {\magvectsub{r}{12}}\right)}{f}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Ueinitial} -% \begin{macrocode} \newcommand{\Ueinitial}{\ssub{\left(\oofpezmathsymbol\frac{\ssub{Q}{1}\ssub{Q}{2}} {\magvectsub{r}{12}}\right)}{i}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\ks} -% \begin{macrocode} \newcommand{\ks}{\ssub{k}{s}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\Fnet} -% \begin{macro}{\Fnetext} -% \begin{macro}{\Fnetsys} -% \begin{macro}{\Fsub} -% \begin{macrocode} \newcommand{\Fnet}{\ensuremath{\vectsub{F}{net}}} \newcommand{\Fnetext}{\ensuremath{\vectsub{F}{net,ext}}} \newcommand{\Fnetsys}{\ensuremath{\vectsub{F}{net,sys}}} \newcommand{\Fsub}[1]{\ensuremath{\vectsub{F}{#1}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\Tnet} -% \begin{macro}{\Tnetext} -% \begin{macro}{\Tnetsys} -% \begin{macro}{\Tsub} -% \begin{macrocode} \newcommand{\Tnet}{\ensuremath{\vectsub{T}{net}}} \newcommand{\Tnetext}{\ensuremath{\vectsub{T}{net,ext}}} \newcommand{\Tnetsys}{\ensuremath{\vectsub{T}{net,sys}}} \newcommand{\Tsub}[1]{\ensuremath{\vectsub{T}{#1}}} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \end{macro} -% \end{macro} -% -% \begin{macro}{\vpythonline} -% \begin{macrocode} -\newcommand{\vpythonline}{\lstinline[language=Python,numbers=left,numberstyle=\tiny, +\newcommand{\vpythonline}{\lstinline[language=Python,numbers=left,numberstyle=\tiny,% upquote=true,breaklines]} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{vpythonblock} -% \begin{macrocode} \lstnewenvironment{vpythonblock}{\lstvpython}{} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\vpythonfile} -% \begin{macrocode} -\newcommand{\vpythonfile}{\lstinputlisting[language=Python,numbers=left, +\newcommand{\vpythonfile}{\lstinputlisting[language=Python,numbers=left,% numberstyle=\tiny,upquote=true,breaklines]} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\emptyanswer} -% \begin{macrocode} \newcommandx{\emptyanswer}[2][1=0.80,2=0.1,usedefault] {\begin{minipage}{#1\textwidth}\hfill\vspace{#2\textheight}\end{minipage}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{activityanswer} -% \begin{macrocode} \newenvironmentx{activityanswer}[5][1=white,2=black,3=black,4=0.90,5=0.10,usedefault]{% \def\skipper{#5}% \def\response@fbox{\fcolorbox{#2}{#1}}% @@ -8000,12 +8365,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \response@fbox{\usebox{\@tempboxa}}% \end{center}% }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{adjactivityanswer} -% \begin{macrocode} -\newenvironmentx{adjactivityanswer}[5][1=white,2=black,3=black,4=0.90,5=0.00, +\newenvironmentx{adjactivityanswer}[5][1=white,2=black,3=black,4=0.90,5=0.00,% usedefault]{% \def\skipper{#5}% \def\response@fbox{\fcolorbox{#2}{#1}}% @@ -8019,13 +8379,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \response@fbox{\usebox{\@tempboxa}}% \end{center}% }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\emptybox} -% \begin{macrocode} \newcommandx{\emptybox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.10,usedefault] - {\begin{center} + {\begin{center}% \fcolorbox{#3}{#2}{% \begin{minipage}[c][#6\textheight][c]{#5\textwidth}\color{#4}% {#1}% @@ -8033,13 +8388,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\adjemptybox} -% \begin{macrocode} \newcommandx{\adjemptybox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,6=,7=0.0,usedefault] - {\begin{center} + {\begin{center}% \fcolorbox{#3}{#2}{% \begin{minipage}[c]{#5\textwidth}\color{#4}% \vspace{#7\textheight}% @@ -8049,13 +8399,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\answerbox} -% \begin{macrocode} \newcommandx{\answerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.1,usedefault] - {\ifthenelse{\equal{#1}{}} + {\ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% \emptyanswer[#5][#6]}% @@ -8063,13 +8408,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\adjanswerbox} -% \begin{macrocode} -\newcommandx{\adjanswerbox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.1,7=0.0, - usedefault] +\newcommandx{\adjanswerbox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.1,7=0.0,% + usedefault]% {\ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -8078,15 +8418,9 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\adjemptybox[#1][#2][#3][#4][#5][#6][#7]}% }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\smallanswerbox} -% box that takes up ten percent of text height -% \begin{macrocode} -\newcommandx{\smallanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.10, - usedefault] - {\ifthenelse{\equal{#1}{}} +\newcommandx{\smallanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.10,% + usedefault]% + {\ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% \emptyanswer[#5][#6]}% @@ -8094,15 +8428,9 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\mediumanswerbox} -% box that takes up twenty percent of text height -% \begin{macrocode} -\newcommandx{\mediumanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.20, +\newcommandx{\mediumanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.20,% usedefault]{% - \ifthenelse{\equal{#1}{}} + \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% \emptyanswer[#5][#6]% @@ -8110,18 +8438,12 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% - {\emptybox[#1][#2][#3][#4][#5][#6] + {\emptybox[#1][#2][#3][#4][#5][#6]% }% }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\largeanswerbox} -% box that takes up twenty-five percent of text height -% \begin{macrocode} -\newcommandx{\largeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.25, +\newcommandx{\largeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.25,% usedefault]{% - \ifthenelse{\equal{#1}{}} + \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% \emptyanswer[#5][#6]% @@ -8129,18 +8451,12 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% - {\emptybox[#1][#2][#3][#4][#5][#6] + {\emptybox[#1][#2][#3][#4][#5][#6]% }% }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\largeranswerbox} -% box that takes up thirty-three percent of text height -% \begin{macrocode} -\newcommandx{\largeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.33, +\newcommandx{\largeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.33,% usedefault]{% - \ifthenelse{\equal{#1}{}} + \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% \emptyanswer[#5][#6]% @@ -8148,16 +8464,10 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% - {\emptybox[#1][#2][#3][#4][#5][#6] + {\emptybox[#1][#2][#3][#4][#5][#6]% }% }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\hugeanswerbox} -% box that takes up fifty percent of text height -% \begin{macrocode} -\newcommandx{\hugeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.50, +\newcommandx{\hugeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.50,% usedefault]{% \ifthenelse{\equal{#1}{}} {\begin{center}% @@ -8167,18 +8477,12 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% - {\emptybox[#1][#2][#3][#4][#5][#6] + {\emptybox[#1][#2][#3][#4][#5][#6]% }% }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\hugeranswerbox} -% box that takes up seventy-five percent of text height -% \begin{macrocode} -\newcommandx{\hugeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.75, +\newcommandx{\hugeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.75,% usedefault]{% - \ifthenelse{\equal{#1}{}} + \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% \emptyanswer[#5][#6]% @@ -8186,18 +8490,12 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% - {\emptybox[#1][#2][#3][#4][#5][#6] + {\emptybox[#1][#2][#3][#4][#5][#6]% }% }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\fullpageanswerbox} -% box that takes up one hundred percent of text height -% \begin{macrocode} -\newcommandx{\fullpageanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=1.00, +\newcommandx{\fullpageanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=1.00,% usedefault]{% - \ifthenelse{\equal{#1}{}} + \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% \emptyanswer[#5][#6]}% @@ -8205,11 +8503,6 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{miinstructornote} -% \begin{macrocode} \mdfdefinestyle{miinstructornotestyle}{% hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip, leftmargin=40pt, rightmargin=40pt, linewidth=1, roundcorner=10, @@ -8224,11 +8517,6 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{adjactivityanswer} \end{mdframed} }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{mistudentnote} -% \begin{macrocode} \mdfdefinestyle{mistudentnotestyle}{% hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip, leftmargin=40pt, rightmargin=40pt, linewidth=1, roundcorner=10, @@ -8243,12 +8531,6 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{adjactivityanswer} \end{mdframed} }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{miderivation} -% This definition requires the mdframed package. -% \begin{macrocode} \mdfdefinestyle{miderivationstyle}{% hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip, leftmargin=0pt, rightmargin=0pt, linewidth=1, roundcorner=10, @@ -8259,16 +8541,11 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \NewEnviron{miderivation}{% \begin{mdframed}[style=miderivationstyle] \setcounter{equation}{0} - \begin{align} + \begin{align*} \BODY - \end{align} + \end{align*} \end{mdframed} }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{bwinstructornote} -% \begin{macrocode} \mdfdefinestyle{bwinstructornotestyle}{% hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip, leftmargin=40pt, rightmargin=40pt, linewidth=1, roundcorner=10, @@ -8283,11 +8560,6 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{adjactivityanswer} \end{mdframed} }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{bwstudentnote} -% \begin{macrocode} \mdfdefinestyle{bwstudentnotestyle}{% hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip, leftmargin=40pt, rightmargin=40pt, linewidth=1, roundcorner=10, @@ -8302,12 +8574,6 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{adjactivityanswer} \end{mdframed} }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{bwderivation} -% This definition requires the mdframed package. -% \begin{macrocode} \mdfdefinestyle{bwderivationstyle}{% hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip, leftmargin=0pt, rightmargin=0pt, linewidth=1, roundcorner=10, @@ -8318,23 +8584,13 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \NewEnviron{bwderivation}{% \begin{mdframed}[style=bwderivationstyle] \setcounter{equation}{0} - \begin{align} + \begin{align*} \BODY - \end{align} + \end{align*} \end{mdframed} }% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\checkpoint} -% \begin{macrocode} \newcommand{\checkpoint}{% \vspace{1cm}\begin{center}|--------- CHECKPOINT ---------|\end{center}}% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\image} -% \begin{macrocode} \newcommand{\image}[2]{% \begin{figure}[h!] \begin{center}% @@ -8343,83 +8599,67 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \label{#1}% \end{center}% \end{figure}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\sneakyone} -% \begin{macrocode} \newcommand{\sneakyone}[1]{\ensuremath{\cancelto{1}{\frac{#1}{#1}}}} -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\chkphysicsquantity} % undocumented diagnostic command -% \begin{macrocode} -\newcommand{\chkphysicsquantity}[1]{% - \cs{#1} +\newcommand{\chkquantity}[1]{% + \begin{center} + \begin{tabular}{C{3cm} C{3cm} C{3cm} C{3cm}} + name & baseunit & drvdunit & tradunit \tabularnewline + \cs{#1} & \csname #1onlybaseunit\endcsname & \csname #1onlydrvdunit\endcsname & + \csname #1onlytradunit\endcsname + \end{tabular} + \end{center} +}% +% undocumented diagnostic command +\newcommand{\chkconstant}[1]{% + \begin{center} + \begin{tabular}{C{3cm} C{1cm} C{2cm} C{3cm} C{3cm} C{3cm}} + name & symbol & value & baseunit & drvdunit & tradunit \tabularnewline + \cs{#1} & \csname #1mathsymbol\endcsname & \csname #1value\endcsname & + \csname #1onlybaseunit\endcsname & \csname #1onlydrvdunit\endcsname & + \csname #1onlytradunit\endcsname + \end{tabular} + \end{center} }% -% \end{macrocode} -% \end{macro} -% -% -% \begin{macro}{\vecto} % new |\vect| that allows for subscripts -% \begin{macrocode} +% #1 = kernel #2 = subscript \newcommandx{\vecto}[2][2,usedefault]{\ensuremath{% \ifthenelse{\equal{#2}{}}% - {\vec{\mathrm #1}}% - {\ssub{\vec{\mathrm #1}}{#2}}}}% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\compvecto} + {\vec{#1}}% + {\ssub{\vec{#1}}{#2}}}}% % new |\compvect| that allows for subscripts -% \begin{macrocode} -\newcommandx{\compvecto}[3][2,usedefault]{\ensuremath{% - \ifthenelse{\equal{#2}{}}% - {\ssub{\mathrm #1}{\(#3\)}}% - {\ssub{\mathrm #1}{#2,\(#3\)}}}}% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\scompsvecto} +% #1 = kernel #2 = component #3 = subscript +\newcommandx{\compvecto}[3][3,usedefault]{\ensuremath{% + \ifthenelse{\equal{#3}{}}% + {\ssub{#1}{\(#2\)}}% + {\ssub{#1}{\(#2\),#3}}}}% % new |\scompsvect| that allows for subscripts -% \begin{macrocode} +% #1 = kernel #2 = subscript \newcommandx{\scompsvecto}[2][2,usedefault]{\ensuremath{% \ifthenelse{\equal{#2}{}}% {\lv\compvecto{#1}{x},\compvecto{#1}{y},\compvecto{#1}{z}\rv}% - {\lv\compvecto{#1}[#2]{x},\compvecto{#1}[#2]{y},\compvecto{#1}[#2]{z}\rv}}}% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\compposo} + {\lv\compvecto{#1}{x}[#2],\compvecto{#1}{y}[#2],\compvecto{#1}{z}[#2]\rv}}}% % new |\comppos| that allows for subscripts -% \begin{macrocode} -\newcommandx{\compposo}[2][1,usedefault]{\ensuremath{% +\newcommandx{\compposo}[2][2,usedefault]{\ensuremath{% +% #1 = component #2 = subscript \ifthenelse{\equal{#1}{}}% - {#2}% - {\ssub{#2}{#1}}}}% -% \end{macrocode} -% \end{macro} -% -% \begin{macro}{\scompsposo} + {#1}% + {\ssub{#1}{#2}}}}% % new |\scompspos| that allows for subscripts -% \begin{macrocode} +% #1 = subscript \newcommandx{\scompsposo}[1][1,usedefault]{\ensuremath{% \ifthenelse{\equal{#1}{}}% {\lv\compposo{x},\compposo{y},\compposo{z}\rv}% - {\lv\compposo[#1]{x},\compposo[#1]{y},\compposo[#1]{z}\rv}}}% + {\lv\compposo{x}[#1],\compposo{y}[#1],\compposo{z}[#1]\rv}}}% % \end{macrocode} -% \end{macro} -% % \newpage % \section{Acknowledgements} -% I thank Marcel Heldoorn, Joseph Wright, Scott Pakin, Aaron Titus, Ruth Chabay, -% and Bruce Sherwood. Special thanks to Martin Scharrer for his \texttt -% {sty2dtx.pl} utility, which saved me days of typing. Special thanks also to -% Herbert Schulz for his custom \texttt{dtx} engine for \texttt{TeXShop}. Very -% special thanks to Ulrich Diez for providing the mechanism that defines scalar -% and vector quantities. +% I thank Marcel Heldoorn, Joseph Wright, Scott Pakin, Thomas Sturm, Aaron Titus, +% Ruth Chabay, and Bruce Sherwood. Special thanks to Martin Scharrer for his +% \texttt{sty2dtx.pl} utility, which saved me days of typing. Special thanks also +% to Herbert Schulz for his custom \texttt{dtx} engine for \texttt{TeXShop}. Very +% special thanks to Ulrich Diez for providing the mechanism that defines physics +% quantities and constants. % % \iffalse %</package> diff --git a/Master/texmf-dist/source/latex/mandi/mandi.ins b/Master/texmf-dist/source/latex/mandi/mandi.ins index 1b3a8710abe..05b68326fb8 100644 --- a/Master/texmf-dist/source/latex/mandi/mandi.ins +++ b/Master/texmf-dist/source/latex/mandi/mandi.ins @@ -6,7 +6,7 @@ %% %% mandi.dtx (with options: `install') %% -%% Copyright (C) 2011,2012 by Paul J. Heafner <heafnerj@gmail.com> +%% Copyright (C) 2011, 2012, 2013 by Paul J. Heafner <heafnerj@gmail.com> %% --------------------------------------------------------------------------- %% This work may be distributed and/or modified under the conditions of the %% LaTeX Project Public License, either version 1.3 of this license or (at @@ -20,12 +20,12 @@ %% The Current Maintainer of this work is Paul J. Heafner. %% %% This work consists of the files mandi.dtx +%% README %% -%% and includes the derived files README -%% mandi.ins +%% and includes the derived files mandi.ins %% mandi.sty -%% mandi.pdf and -%% vdemo.py. +%% vdemo.py and +%% mandi.pdf. %% --------------------------------------------------------------------------- %% \input docstrip.tex @@ -34,7 +34,7 @@ \usedir{tex/latex/mandi} \preamble -Copyright (C) 2011,2012 by Paul J. Heafner <heafnerj@gmail.com> +Copyright (C) 2011, 2012, 2013 by Paul J. Heafner <heafnerj@gmail.com> --------------------------------------------------------------------------- This work may be distributed and/or modified under the conditions of the LaTeX Project Public License, either version 1.3 of this license or (at @@ -48,12 +48,12 @@ This work has the LPPL maintenance status `maintained'. The Current Maintainer of this work is Paul J. Heafner. This work consists of the files mandi.dtx + README -and includes the derived files README - mandi.ins +and includes the derived files mandi.ins mandi.sty - mandi.pdf and - vdemo.py. + vdemo.py and + mandi.pdf. --------------------------------------------------------------------------- \endpreamble diff --git a/Master/texmf-dist/tex/latex/mandi/mandi.sty b/Master/texmf-dist/tex/latex/mandi/mandi.sty index d5206ea8965..46db7c1f230 100644 --- a/Master/texmf-dist/tex/latex/mandi/mandi.sty +++ b/Master/texmf-dist/tex/latex/mandi/mandi.sty @@ -6,7 +6,7 @@ %% %% mandi.dtx (with options: `package') %% -%% Copyright (C) 2011,2012 by Paul J. Heafner <heafnerj@gmail.com> +%% Copyright (C) 2011, 2012, 2013 by Paul J. Heafner <heafnerj@gmail.com> %% --------------------------------------------------------------------------- %% This work may be distributed and/or modified under the conditions of the %% LaTeX Project Public License, either version 1.3 of this license or (at @@ -20,21 +20,21 @@ %% The Current Maintainer of this work is Paul J. Heafner. %% %% This work consists of the files mandi.dtx +%% README %% -%% and includes the derived files README -%% mandi.ins +%% and includes the derived files mandi.ins %% mandi.sty -%% mandi.pdf and -%% vdemo.py. +%% vdemo.py and +%% mandi.pdf. %% --------------------------------------------------------------------------- %% -\ProvidesPackage{mandi}[2013/04/10 2.1.0 Macros for intro physics and astronomy] +\ProvidesPackage{mandi}[2013/06/14 2.2.0 Macros for physics and astronomy] \NeedsTeXFormat{LaTeX2e}[1999/12/01] \RequirePackage{amsmath} \RequirePackage{amssymb} +\RequirePackage{array} \RequirePackage{bigints} \RequirePackage{cancel} -\RequirePackage[leftbars,color]{changebar} \RequirePackage[dvipsnames]{xcolor} \RequirePackage{environ} \RequirePackage{etoolbox} @@ -61,6 +61,7 @@ \definecolor{vpythoncolor}{rgb}{0.95,0.95,0.95} \newcommand{\lstvpython}{\lstset{language=Python,numbers=left,numberstyle=\tiny, backgroundcolor=\color{vpythoncolor},upquote=true,breaklines}} +\newcolumntype{C}[1]{>{\centering}m{#1}} \newboolean{@optitalicvectors} \newboolean{@optdoubleabsbars} \newboolean{@optbaseunits} @@ -91,6 +92,7 @@ \newcommand{\coulomb}{\ensuremath{\mathrm{C}}} \newcommand{\degree}{\ensuremath{^{\circ}}} \newcommand{\electronvolt}{\ensuremath{\mathrm{eV}}} +\newcommand{\eV}{\electronvolt} \newcommand{\farad}{\ensuremath{\mathrm{F}}} \newcommand{\henry}{\ensuremath{\mathrm{H}}} \newcommand{\hertz}{\ensuremath{\mathrm{Hz}}} @@ -122,6 +124,7 @@ \newcommand{\T}{\tesla} \newcommand{\V}{\volt} \newcommand{\W}{\watt} +\newcommand{\Wb}{\weber} \newcommand{\square}[1]{\ensuremath{\mathrm{#1}^{2}}} % prefix 2 \newcommand*{\cubic}[1]{\ensuremath{\mathrm{#1}^{3}}} % prefix 3 \newcommand*{\quartic}[1]{\ensuremath{\mathrm{#1}^{4}}} % prefix 4 @@ -207,8 +210,7 @@ \setbox\z@\hbox{% \mathchardef\@tempa\mathcode`\[\relax \def\@tempb##1"##2##3{\the\textfont"##3\char"}% - \expandafter\@tempb\meaning\@tempa \relax - }% + \expandafter\@tempb\meaning\@tempa \relax}% \ht\Mathstrutbox@\ht\z@ \dp\Mathstrutbox@\dp\z@} \begingroup \catcode`(\active \xdef({\left\string(} @@ -242,14 +244,31 @@ \newphysicsquantity{planeangle}{\m\usk\reciprocal\m}[\rad][\rad] \newphysicsquantity{solidangle}{\m\squared\usk\reciprocalsquare\m}[\sr][\sr] \newcommand{\indegrees}[1]{\ensuremath{\unit{#1}{\degree}}} +\newcommand{\inFarenheit}[1]{\ensuremath{\unit{#1}{\degree\mathrm{F}}}} +\newcommand{\inCelsius}[1]{\ensuremath{\unit{#1}{\degree\mathrm{C}}}} \newcommand{\inarcminutes}[1]{\ensuremath{\unit{#1}{\arcminute}}} \newcommand{\inarcseconds}[1]{\ensuremath{\unit{#1}{\arcsecond}}} \newcommand{\ineV}[1]{\ensuremath{\unit{#1}{\electronvolt}}} +\newcommand{\inMeVocs}[1]{\ensuremath{\unit{#1}{\mathrm{MeV}\per\msup{c}{2}}}} +\newcommand{\inMeVoc}[1]{\ensuremath{\unit{#1}{\mathrm{MeV}\per c}}} \newcommand{\inAU}[1]{\ensuremath{\unit{#1}{\mathrm{AU}}}} +\newcommand{\inly}[1]{\ensuremath{\unit{#1}{\mathrm{ly}}}} +\newcommand{\incyr}[1]{\ensuremath{\unit{#1}{c\usk\mathrm{year}}}} +\newcommand{\inpc}[1]{\ensuremath{\unit{#1}{\mathrm{pc}}}} +\newcommand{\insolarL}[1]{\ensuremath{\unit{#1}{\Lsolar}}} +\newcommand{\insolarT}[1]{\ensuremath{\unit{#1}{\Tsolar}}} +\newcommand{\insolarR}[1]{\ensuremath{\unit{#1}{\Rsolar}}} +\newcommand{\insolarM}[1]{\ensuremath{\unit{#1}{\Msolar}}} +\newcommand{\insolarF}[1]{\ensuremath{\unit{#1}{\Fsolar}}} +\newcommand{\insolarf}[1]{\ensuremath{\unit{#1}{\fsolar}}} +\newcommand{\insolarMag}[1]{\ensuremath{\unit{#1}{\Magsolar}}} +\newcommand{\insolarmag}[1]{\ensuremath{\unit{#1}{\magsolar}}} +\newcommand{\insolarD}[1]{\ensuremath{\unit{#1}{\Dsolar}}} +\newcommand{\insolard}[1]{\ensuremath{\unit{#1}{\dsolar}}} \newcommand{\velocityc}[1]{\ensuremath{#1c}} \newphysicsquantity{velocity}{\m\usk\reciprocal\s}[\m\usk\reciprocal\s][\m\per\s] \newphysicsquantity{acceleration}{\m\usk\s\reciprocalsquared}[\N\per\kg][\m\per\s\squared] -\newcommand{\gamman}[1]{\ensuremath{#1}} +\newcommand{\lorentz}[1]{\ensuremath{#1}} \newphysicsquantity{momentum}{\m\usk\kg\usk\reciprocal\s}[\N\usk\s][\kg\usk\m\per\s] \newphysicsquantity{impulse}{\m\usk\kg\usk\reciprocal\s}[\N\usk\s][\kg\usk\m\per\s] \newphysicsquantity{force}{\m\usk\kg\usk\s\reciprocalsquared}[\N][\N] @@ -264,20 +283,16 @@ [\kg\per\m\cubed] \newphysicsquantity{youngsmodulus}{\reciprocal\m\usk\kg\usk\s\reciprocalsquared} [\N\per\m\squared][\Pa] -\newphysicsquantity{work}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J] -[\N\usk\m] -\newphysicsquantity{energy}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J] -[\N\usk\m] +\newphysicsquantity{work}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J][\N\usk\m] +\newphysicsquantity{energy}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J][\N\usk\m] \newphysicsquantity{power}{\m\squared\usk\kg\usk\s\reciprocalcubed}[\W][\J\per\s] \newphysicsquantity{angularvelocity}{\rad\usk\reciprocal\s}[\rad\per\s][\rad\per\s] \newphysicsquantity{angularacceleration}{\rad\usk\s\reciprocalsquared}[\rad\per\s\squared] [\rad\per\s\squared] \newphysicsquantity{angularmomentum}{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s] [\kg\usk\m\squared\per\s] -\newphysicsquantity{momentofinertia}{\m\squared\usk\kg}[\J\usk\s\squared] -[\kg\usk\m\squared] -\newphysicsquantity{torque}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J\per\rad] -[\N\usk\m] +\newphysicsquantity{momentofinertia}{\m\squared\usk\kg}[\J\usk\s\squared][\kg\usk\m\squared] +\newphysicsquantity{torque}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J\per\rad][\N\usk\m] \newphysicsquantity{entropy}{\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\K} [\J\per\K][\J\per\K] \newphysicsquantity{wavelength}{\m}[\m][\m] @@ -285,15 +300,21 @@ \newphysicsquantity{frequency}{\reciprocal\s}[\hertz][\hertz] \newphysicsquantity{angularfrequency}{\rad\usk\reciprocal\s}[\rad\per\s][\rad\per\s] \newphysicsquantity{charge}{\A\usk\s}[\C][\C] -\newphysicsquantity{permittivity}{\m\reciprocalcubed\usk\reciprocal\kg\usk\s - \reciprocalquarted\usk\A\squared}[\F\per\m][\C\squared\per\N\usk\m\squared] -\newphysicsquantity{permeability}{\m\usk\kg\usk\s\reciprocalsquared\usk\A - \reciprocalsquared}[\henry\per\m][\T\usk\m\per\A] +\newphysicsquantity{permittivity} +{\m\reciprocalcubed\usk\reciprocal\kg\usk\s\reciprocalquarted\usk\A\squared} +[\F\per\m][\C\squared\per\N\usk\m\squared] +\newphysicsquantity{permeability} +{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}[\henry\per\m][\T\usk\m\per\A] \newphysicsquantity{electricfield}{\m\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A} [\V\per\m][\N\per\C] \newphysicsquantity{electricdipolemoment}{\m\usk\s\usk\A}[\C\usk\m][\C\usk\m] +\newphysicsquantity{electricflux}{\m\cubed\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A} +[\V\usk\m][\N\usk\m\squared\per\C] \newphysicsquantity{magneticfield}{\kg\usk\s\reciprocalsquared\usk\reciprocal\A}[\T] -[\N\per\C\usk(\m\per\s)] +[\N\per\C\usk(\m\per\s)] % also \Wb\per\m\squared +\newphysicsquantity{magneticflux} +{\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\A}[\volt\usk\s] +[\T\usk\m\squared] % also \Wb and \J\per\A \newphysicsquantity{cmagneticfield}{\m\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A} [\V\per\m][\N\per\C] \newphysicsquantity{linearchargedensity}{\reciprocal\m\usk\s\usk\A}[\C\per\m][\C\per\m] @@ -317,6 +338,8 @@ \newphysicsquantity{relativepermeability}{}[][] \newphysicsquantity{energydensity}{\m\reciprocaled\usk\kg\usk\reciprocalsquare\s} [\J\per\cubic\m][\J\per\cubic\m] +\newphysicsquantity{energyflux}{\kg\usk\s\reciprocalcubed} +[\W\per\m\squared][\W\per\m\squared] \newphysicsquantity{electroncurrent}{\reciprocal\s} [\ensuremath{\mathrm{e}}\per\s][\ensuremath{\mathrm{e}}\per\s] \newphysicsquantity{conventionalcurrent}{\A}[\C\per\s][\A] @@ -324,27 +347,30 @@ \newphysicsquantity{currentdensity}{\reciprocalsquare\m\usk\A}[\C\usk\s\per\square\m] [\A\per\square\m] \newphysicsquantity{capacitance} -{\reciprocalsquare\m\usk\reciprocal\kg\usk\quartic\s\usk\square\A}[\C\per\V][\F] +{\reciprocalsquare\m\usk\reciprocal\kg\usk\quartic\s\usk\square\A}[\F][\C\per\V] +\newphysicsquantity{inductance} +{\square\m\usk\kg\usk\reciprocalsquare\s\usk\reciprocalsquare\A}[\henry] +[\volt\usk\s\per\A] % also \square\m\usk\kg\per\C\squared, \Wb\per\A \newphysicsquantity{conductivity} {\reciprocalcubic\m\usk\reciprocal\kg\usk\cubic\s\usk\square\A}[\siemens\per\m] -[\A\per\V\usk\m] +[(\A\per\square\m)\per(\V\per\m)] \newphysicsquantity{resistivity} -{\cubic\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocalsquare\A}[\m\per\siemens] -[\ohm\usk\m] +{\cubic\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocalsquare\A}[\ohm\usk\m] +[(\V\per\m)\per(\A\per\square\m)] \newphysicsquantity{resistance} {\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocalsquare\A}[\V\per\A][\ohm] \newphysicsquantity{conductance} {\reciprocalsquare\m\usk\reciprocal\kg\usk\cubic\s\usk\square\A}[\A\per\V][\siemens] +\newphysicsquantity{magneticcharge}{\m\usk\A}[\m\usk\A][\m\usk\A] \newcommand{\lv}{\ensuremath{\left\langle}} \newcommand{\rv}{\ensuremath{\right\rangle}} \newcommand{\symvect}{\mivector} \newcommand{\ncompsvect}{\mivector} -\ExplSyntaxOn +\ExplSyntaxOn % Written in LaTeX3 \NewDocumentCommand{\magvectncomps}{ m O{} } {% \sum_of_squares:nn { #1 }{ #2 } }% - \cs_new:Npn \sum_of_squares:nn #1 #2 {% \tl_if_empty:nTF { #2 } @@ -410,16 +436,16 @@ \compDvect{#1}{z}\rv}} \newcommand{\dervect}[2]{\ensuremath{\frac{\dvect{#1}}{\mathrm{d}{#2}}}} \newcommand{\Dervect}[2]{\ensuremath{\frac{\Dvect{#1}}{\Delta{#2}}}} -\newcommand{\compdervect}[3]{\ensuremath{\dbyd{\compvect{#1}{#3}}{#2}}} -\newcommand{\compDervect}[3]{\ensuremath{\DbyD{\compvect{#1}{#3}}{#2}}} +\newcommand{\compdervect}[3]{\ensuremath{\dbyd{\compvect{#1}{#2}}{#3}}} +\newcommand{\compDervect}[3]{\ensuremath{\DbyD{\compvect{#1}{#2}}{#3}}} \newcommand{\scompsdervect}[2]{\ensuremath{\lv - \compdervect{#1}{#2}{x}, - \compdervect{#1}{#2}{y}, - \compdervect{#1}{#2}{z}\rv}} + \compdervect{#1}{x}{#2}, + \compdervect{#1}{y}{#2}, + \compdervect{#1}{z}{#2}\rv}} \newcommand{\scompsDervect}[2]{\ensuremath{\lv - \compDervect{#1}{#2}{x}, - \compDervect{#1}{#2}{y}, - \compDervect{#1}{#2}{z}\rv}} + \compDervect{#1}{x}{#2}, + \compDervect{#1}{y}{#2}, + \compDervect{#1}{z}{#2}\rv}} \ifthenelse{\boolean{@optdoubleabsbars}} {\newcommand{\magdervect}[2]{\ensuremath{\magof{\dervect{#1}{#2}}}} \newcommand{\magDervect}[2]{\ensuremath{\magof{\Dervect{#1}{#2}}}}} @@ -443,19 +469,19 @@ \newcommand{\compDerpos}[2]{\ensuremath{\frac{\Delta{#1}}{\Delta{#2}}}} \newcommand{\vectsub}[2]{\ensuremath{\ssub{\vect{#1}}{#2}}} \ifthenelse{\boolean{@optitalicvectors}} - {\newcommand{\compvectsub}[3]{\ensuremath{\ssub{#1}{#2,\(#3\)}}}} - {\newcommand{\compvectsub}[3]{\ensuremath{\ssub{\mathrm{#1}}{#2,\(#3\)}}}} + {\newcommand{\compvectsub}[3]{\ensuremath{\ssub{#1}{\(#2\),#3}}}} + {\newcommand{\compvectsub}[3]{\ensuremath{\ssub{\mathrm{#1}}{\(#2\),#3}}}} \newcommand{\scompsvectsub}[2]{\ensuremath{\lv - \compvectsub{#1}{#2}{x}, - \compvectsub{#1}{#2}{y}, - \compvectsub{#1}{#2}{z}\rv}} + \compvectsub{#1}{x}{#2}, + \compvectsub{#1}{y}{#2}, + \compvectsub{#1}{z}{#2}\rv}} \ifthenelse{\boolean{@optdoubleabsbars}} {\newcommand{\magvectsub}[2]{\ensuremath{\magof{\vectsub{#1}{#2}}}}} {\newcommand{\magvectsub}[2]{\ensuremath{\abs{\vectsub{#1}{#2}}}}} \newcommand{\magvectsubscomps}[2]{\ensuremath{\sqrt{ - \msup{\compvectsub{#1}{#2}{x}}{2}+ - \msup{\compvectsub{#1}{#2}{y}}{2}+ - \msup{\compvectsub{#1}{#2}{z}}{2}}}} + \msup{\compvectsub{#1}{x}{#2}}{2}+ + \msup{\compvectsub{#1}{y}{#2}}{2}+ + \msup{\compvectsub{#1}{z}{#2}}{2}}}} \ifthenelse{\boolean{@optitalicvectors}} {\newcommand{\dirvectsub}[2]{\ensuremath{\ssub{\widehat{#1}}{#2}}}} {\newcommand{\dirvectsub}[2]{\ensuremath{\ssub{\widehat{\mathrm{#1}}}{#2}}}} @@ -464,13 +490,13 @@ \newcommand{\compdvectsub}[3]{\ensuremath{\mathrm{d}\compvectsub{#1}{#2}{#3}}} \newcommand{\compDvectsub}[3]{\ensuremath{\Delta\compvectsub{#1}{#2}{#3}}} \newcommand{\scompsdvectsub}[2]{\ensuremath{\lv - \compdvectsub{#1}{#2}{x}, - \compdvectsub{#1}{#2}{y}, - \compdvectsub{#1}{#2}{z}\rv}} + \compdvectsub{#1}{x}{#2}, + \compdvectsub{#1}{y}{#2}, + \compdvectsub{#1}{z}{#2}\rv}} \newcommand{\scompsDvectsub}[2]{\ensuremath{\lv - \compDvectsub{#1}{#2}{x}, - \compDvectsub{#1}{#2}{y}, - \compDvectsub{#1}{#2}{z},\rv}} + \compDvectsub{#1}{x}{#2}, + \compDvectsub{#1}{y}{#2}, + \compDvectsub{#1}{z}{#2}\rv}} \newcommand{\dermagvectsub}[3]{\ensuremath{\dbyd{\magvectsub{#1}{#2}}{#3}}} \newcommand{\Dermagvectsub}[3]{\ensuremath{\DbyD{\magvectsub{#1}{#2}}{#3}}} \newcommand{\dervectsub}[3]{\ensuremath{\dbyd{\vectsub{#1}{#2}}{#3}}} @@ -480,41 +506,41 @@ \newcommand{\magDervectsub}[3]{\ensuremath{\magof{\Dervectsub{#1}{#2}{#3}}}}} {\newcommand{\magdervectsub}[3]{\ensuremath{\abs{\dervectsub{#1}{#2}{#3}}}} \newcommand{\magDervectsub}[3]{\ensuremath{\abs{\Dervectsub{#1}{#2}{#3}}}}} -\newcommand{\compdervectsub}[4]{\ensuremath{\dbyd{\compvectsub{#1}{#2}{#4}}{#3}}} -\newcommand{\compDervectsub}[4]{\ensuremath{\DbyD{\compvectsub{#1}{#2}{#4}}{#3}}} +\newcommand{\compdervectsub}[4]{\ensuremath{\dbyd{\compvectsub{#1}{#2}{#3}}{#4}}} +\newcommand{\compDervectsub}[4]{\ensuremath{\DbyD{\compvectsub{#1}{#2}{#3}}{#4}}} \newcommand{\scompsdervectsub}[3]{\ensuremath{\lv - \compdervectsub{#1}{#2}{#3}{x}, - \compdervectsub{#1}{#2}{#3}{y}, - \compdervectsub{#1}{#2}{#3}{z}\rv}} + \compdervectsub{#1}{x}{#2}{#3}, + \compdervectsub{#1}{y}{#2}{#3}, + \compdervectsub{#1}{z}{#2}{#3}\rv}} \newcommand{\scompsDervectsub}[3]{\ensuremath{\lv - \compDervectsub{#1}{#2}{#3}{x}, - \compDervectsub{#1}{#2}{#3}{y}, - \compDervectsub{#1}{#2}{#3}{z}\rv}} -\newcommand{\comppossub}[2]{\ensuremath{\ssub{#2}{#1}}} + \compDervectsub{#1}{x}{#2}{#3}, + \compDervectsub{#1}{y}{#2}{#3}, + \compDervectsub{#1}{z}{#2}{#3}\rv}} +\newcommand{\comppossub}[2]{\ensuremath{\ssub{#1}{#2}}} \newcommand{\scompspossub}[1]{\ensuremath{\lv - \comppossub{#1}{x}, - \comppossub{#1}{y}, - \comppossub{#1}{z}\rv}} + \comppossub{x}{#1}, + \comppossub{y}{#1}, + \comppossub{z}{#1}\rv}} \newcommand{\compdpossub}[2]{\ensuremath{\mathrm{d}\comppossub{#1}{#2}}} \newcommand{\compDpossub}[2]{\ensuremath{\Delta\comppossub{#1}{#2}}} \newcommand{\scompsdpossub}[1]{\ensuremath{\lv - \compdpossub{#1}{x}, - \compdpossub{#1}{y}, - \compdpossub{#1}{z}\rv}} + \compdpossub{x}{#1}, + \compdpossub{y}{#1}, + \compdpossub{z}{#1}\rv}} \newcommand{\scompsDpossub}[1]{\ensuremath{\lv - \compDpossub{#1}{x}, - \compDpossub{#1}{y}, - \compDpossub{#1}{z}\rv}} -\newcommand{\compderpossub}[3]{\ensuremath{\dbyd{\comppossub{#1}{#3}}{#2}}} -\newcommand{\compDerpossub}[3]{\ensuremath{\DbyD{\comppossub{#1}{#3}}{#2}}} + \compDpossub{x}{#1}, + \compDpossub{y}{#1}, + \compDpossub{z}{#1}\rv}} +\newcommand{\compderpossub}[3]{\ensuremath{\dbyd{\comppossub{#1}{#2}}{#3}}} +\newcommand{\compDerpossub}[3]{\ensuremath{\DbyD{\comppossub{#1}{#2}}{#3}}} \newcommand{\scompsderpossub}[2]{\ensuremath{\lv - \compderpossub{#1}{#2}{x}, - \compderpossub{#1}{#2}{y}, - \compderpossub{#1}{#2}{z}\rv}} + \compderpossub{x}{#1}{#2}, + \compderpossub{y}{#1}{#2}, + \compderpossub{z}{#1}{#2}\rv}} \newcommand{\scompsDerpossub}[2]{\ensuremath{\lv - \compDerpossub{#1}{#2}{x}, - \compDerpossub{#1}{#2}{y}, - \compDerpossub{#1}{#2}{z}\rv}} + \compDerpossub{x}{#1}{#2}, + \compDerpossub{y}{#1}{#2}, + \compDerpossub{z}{#1}{#2}\rv}} \newcommand{\relpos}[1]{\ensuremath{\vectsub{r}{#1}}} \newcommand{\relvel}[1]{\ensuremath{\vectsub{v}{#1}}} \newcommand{\relmom}[1]{\ensuremath{\vectsub{p}{#1}}} @@ -553,105 +579,110 @@ \newcommand{\vectsubdotsvectsub}[4]{\ensuremath{ \scompsvectsub{#1}{#2}\bullet\scompsvectsub{#3}{#4}}} \newcommand{\vectsubdotevectsub}[4]{\ensuremath{ - \compvectsub{#1}{#2}{x}\compvectsub{#3}{#4}{x}+ - \compvectsub{#1}{#2}{y}\compvectsub{#3}{#4}{y}+ - \compvectsub{#1}{#2}{z}\compvectsub{#3}{#4}{z}}} -\newcommand{\vectsubdotsdvectsub}[4]{\ensuremath{ + \compvectsub{#1}{x}{#2}\compvectsub{#3}{x}{#4}+ + \compvectsub{#1}{y}{#2}\compvectsub{#3}{y}{#4}+ + \compvectsub{#1}{z}{#2}\compvectsub{#3}{z}{#4}}} +\newcommand{\vectsubdotsdvectsub}[4]{\ensuremath{% \scompsvectsub{#1}{#2}\bullet\scompsdvectsub{#3}{#4}}} -\newcommand{\vectsubdotsDvectsub}[4]{\ensuremath{ +\newcommand{\vectsubdotsDvectsub}[4]{\ensuremath{% \scompsvectsub{#1}{#2}\bullet\scompsDvectsub{#3}{#4}}} \newcommand{\vectsubdotedvectsub}[4]{\ensuremath{ - \compvectsub{#1}{#2}{x}\compdvectsub{#3}{#4}{x}+ - \compvectsub{#1}{#2}{y}\compdvectsub{#3}{#4}{y}+ - \compvectsub{#1}{#2}{z}\compdvectsub{#3}{#4}{z}}} + \compvectsub{#1}{x}{#2}\compdvectsub{#3}{x}{#4}+ + \compvectsub{#1}{y}{#2}\compdvectsub{#3}{y}{#4}+ + \compvectsub{#1}{z}{#2}\compdvectsub{#3}{z}{#4}}} \newcommand{\vectsubdoteDvectsub}[4]{\ensuremath{ - \compvectsub{#1}{#2}{x}\compDvectsub{#3}{#4}{x}+ - \compvectsub{#1}{#2}{y}\compDvectsub{#3}{#4}{y}+ - \compvectsub{#1}{#2}{z}\compDvectsub{#3}{#4}{z}}} + \compvectsub{#1}{x}{#2}\compDvectsub{#3}{x}{#4}+ + \compvectsub{#1}{y}{#2}\compDvectsub{#3}{y}{#4}+ + \compvectsub{#1}{z}{#2}\compDvectsub{#3}{z}{#4}}} \newcommand{\vectsubdotsdvect}[3]{\ensuremath{ \scompsvectsub{#1}{#2}\bullet\scompsdvect{#3}}} \newcommand{\vectsubdotsDvect}[3]{\ensuremath{ \scompsvectsub{#1}{#2}\bullet\scompsDvect{#3}}} \newcommand{\vectsubdotedvect}[3]{\ensuremath{ - \compvectsub{#1}{#2}{x}\compdvect{#3}{x}+ - \compvectsub{#1}{#2}{y}\compdvect{#3}{y}+ - \compvectsub{#1}{#2}{z}\compdvect{#3}{z}}} + \compvectsub{#1}{x}{#2}\compdvect{x}{#3}+ + \compvectsub{#1}{y}{#2}\compdvect{y}{#3}+ + \compvectsub{#1}{z}{#2}\compdvect{z}{#3}}} \newcommand{\vectsubdoteDvect}[3]{\ensuremath{ - \compvectsub{#1}{#2}{x}\compDvect{#3}{x}+ - \compvectsub{#1}{#2}{y}\compDvect{#3}{y}+ - 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\scompsdervect{#1}{#2}\bullet\scompsvect{#3}}} \newcommand{\Dervectdotsvect}[3]{\ensuremath{ \scompsDervect{#1}{#2}\bullet\scompsvect{#3}}} \newcommand{\dervectdotevect}[3]{\ensuremath{ - \compdervect{#1}{#2}{x}\compvect{#3}{x}+ - \compdervect{#1}{#2}{y}\compvect{#3}{y}+ - \compdervect{#1}{#2}{z}\compvect{#3}{z}}} + \compdervect{#1}{x}{#2}\compvect{x}{#3}+ + \compdervect{#1}{y}{#2}\compvect{y}{#3}+ + \compdervect{#1}{z}{#2}\compvect{z}{#3}}} \newcommand{\Dervectdotevect}[3]{\ensuremath{ - \compDervect{#1}{#2}{x}\compvect{#3}{x}+ - \compDervect{#1}{#2}{y}\compvect{#3}{y}+ - \compDervect{#1}{#2}{z}\compvect{#3}{z}}} + \compDervect{#1}{x}{#2}\compvect{x}{#3}+ + \compDervect{#1}{y}{#2}\compvect{y}{#3}+ + \compDervect{#1}{z}{#2}\compvect{z}{#3}}} \newcommand{\vectdotsdervect}[3]{\ensuremath{ \scompsvect{#1}\bullet\scompsdervect{#2}{#3}}} \newcommand{\vectdotsDervect}[3]{\ensuremath{ \scompsvect{#1}\bullet\scompsDervect{#2}{#3}}} \newcommand{\vectdotedervect}[3]{\ensuremath{ - \compvect{#1}{x}\compdervect{#2}{#3}{x}+ - \compvect{#1}{y}\compdervect{#2}{#3}{y}+ - \compvect{#1}{z}\compdervect{#2}{#3}{z}}} + \compvect{#1}{x}\compdervect{#2}{x}{#3}+ + \compvect{#1}{y}\compdervect{#2}{y}{#3}+ + \compvect{#1}{z}\compdervect{#2}{z}{#3}}} \newcommand{\vectdoteDervect}[3]{\ensuremath{ - \compvect{#1}{x}\compDervect{#2}{#3}{x}+ - \compvect{#1}{y}\compDervect{#2}{#3}{y}+ - \compvect{#1}{z}\compDervect{#2}{#3}{z}}} + \compvect{#1}{x}\compDervect{#2}{x}{#3}+ + \compvect{#1}{y}\compDervect{#2}{y}{#3}+ + \compvect{#1}{z}\compDervect{#2}{z}{#3}}} \newcommand{\dervectdotspos}[2]{\ensuremath{ \scompsdervect{#1}{#2}\bullet\scompspos}} \newcommand{\Dervectdotspos}[2]{\ensuremath{ \scompsDervect{#1}{#2}\bullet\scompspos}} \newcommand{\dervectdotepos}[2]{\ensuremath{ - \compdervect{#1}{#2}{x}\comppos{x}+ - \compdervect{#1}{#2}{y}\comppos{y}+ - \compdervect{#1}{#2}{z}\comppos{z}}} + \compdervect{#1}{x}{#2}\comppos{x}+ + \compdervect{#1}{y}{#2}\comppos{y}+ + \compdervect{#1}{z}{#2}\comppos{z}}} \newcommand{\Dervectdotepos}[2]{\ensuremath{ - \compDervect{#1}{#2}{x}\comppos{x}+ - \compDervect{#1}{#2}{y}\comppos{y}+ - \compDervect{#1}{#2}{z}\comppos{z}}} + \compDervect{#1}{x}{#2}\comppos{x}+ + \compDervect{#1}{y}{#2}\comppos{y}+ + \compDervect{#1}{z}{#2}\comppos{z}}} \newcommand{\dervectdotsdvect}[3]{\ensuremath{ \scompsdervect{#1}{#2}\bullet\scompsdvect{#3}}} \newcommand{\DervectdotsDvect}[3]{\ensuremath{ \scompsDervect{#1}{#2}\bullet\scompsDvect{#3}}} \newcommand{\dervectdotedvect}[3]{\ensuremath{ - \compdervect{#1}{#2}{x}\compdvect{#3}{x}+ - \compdervect{#1}{#2}{y}\compdvect{#3}{y}+ - \compdervect{#1}{#2}{z}\compdvect{#3}{z}}} + \compdervect{#1}{x}{#2}\compdvect{#3}{x}+ + \compdervect{#1}{y}{#2}\compdvect{#3}{y}+ + \compdervect{#1}{z}{#2}\compdvect{#3}{z}}} \newcommand{\DervectdoteDvect}[3]{\ensuremath{ - \compDervect{#1}{#2}{x}\compDvect{#3}{x}+ - \compDervect{#1}{#2}{y}\compDvect{#3}{y}+ - \compDervect{#1}{#2}{z}\compDvect{#3}{z}}} + \compDervect{#1}{x}{#2}\compDvect{#3}{x}+ + \compDervect{#1}{y}{#2}\compDvect{#3}{y}+ + \compDervect{#1}{z}{#2}\compDvect{#3}{z}}} \newcommand{\dervectdotsdpos}[2]{\ensuremath{ \scompsdervect{#1}{#2}\bullet\scompsdpos}} \newcommand{\DervectdotsDpos}[2]{\ensuremath{ \scompsDervect{#1}{#2}\bullet\scompsDpos}} \newcommand{\dervectdotedpos}[2]{\ensuremath{ - \compdervect{#1}{#2}{x}\compdpos{x}+ - \compdervect{#1}{#2}{y}\compdpos{y}+ - \compdervect{#1}{#2}{z}\compdpos{z}}} + \compdervect{#1}{x}{#2}\compdpos{x}+ + \compdervect{#1}{y}{#2}\compdpos{y}+ + \compdervect{#1}{z}{#2}\compdpos{z}}} \newcommand{\DervectdoteDpos}[2]{\ensuremath{ - \compDervect{#1}{#2}{x}\compDpos{x}+ - \compDervect{#1}{#2}{y}\compDpos{y}+ - \compDervect{#1}{#2}{z}\compDpos{z}}} + \compDervect{#1}{x}{#2}\compDpos{x}+ + \compDervect{#1}{y}{#2}\compDpos{y}+ + \compDervect{#1}{z}{#2}\compDpos{z}}} +\newcommand{\vectcrossvect}[2]{\ensuremath{{#1}\times{#2}}} +\newcommand{\ltriplecross}[3]{\ensuremath{({#1}\times{#2})\times{#3}}} +\newcommand{\rtriplecross}[3]{\ensuremath{{#1}\times({#2}\times{#3})}} +\newcommand{\ltriplescalar}[3]{\ensuremath{{#1}\times{#2}\bullet{#3}}} +\newcommand{\rtriplescalar}[3]{\ensuremath{{#1}\bullet{#2}\times{#3}}} \newcommand{\ezero}{\ensuremath{\msub{\mathbf{e}}{0}}} \newcommand{\eone}{\ensuremath{\msub{\mathbf{e}}{1}}} \newcommand{\etwo}{\ensuremath{\msub{\mathbf{e}}{2}}} @@ -667,6 +698,10 @@ \newcommand{\uek}[1]{\ensuremath{\msub{\widehat{\mathbf{e}}}{#1}}} \newcommand{\ue}{\uek} \newcommand{\ezerozero}{\ek{00}} +\newcommand{\ezeroone}{\ek{01}} +\newcommand{\ezerotwo}{\ek{02}} +\newcommand{\ezerothree}{\ek{03}} +\newcommand{\ezerofour}{\ek{04}} \newcommand{\eoneone}{\ek{11}} \newcommand{\eonetwo}{\ek{12}} \newcommand{\eonethree}{\ek{13}} @@ -691,6 +726,10 @@ \newcommand{\euk}[1]{\ensuremath{\msup{\mathbf{e}}{#1}}} \newcommand{\eu}{\euk} \newcommand{\euzerozero}{\euk{00}} +\newcommand{\euzeroone}{\euk{01}} +\newcommand{\euzerotwo}{\euk{02}} +\newcommand{\euzerothree}{\euk{03}} +\newcommand{\euzerofour}{\euk{04}} \newcommand{\euoneone}{\euk{11}} \newcommand{\euonetwo}{\euk{12}} \newcommand{\euonethree}{\euk{13}} @@ -715,6 +754,10 @@ \newcommand{\gk}[1]{\ensuremath{\msub{\mathbf{\gamma}}{#1}}} \newcommand{\g}{\gk} \newcommand{\gzerozero}{\gk{00}} +\newcommand{\gzeroone}{\gk{01}} +\newcommand{\gzerotwo}{\gk{02}} +\newcommand{\gzerothree}{\gk{03}} +\newcommand{\gzerofour}{\gk{04}} \newcommand{\goneone}{\gk{11}} \newcommand{\gonetwo}{\gk{12}} \newcommand{\gonethree}{\gk{13}} @@ -739,6 +782,10 @@ \newcommand{\guk}[1]{\ensuremath{\msup{\mathbf{\gamma}}{#1}}} \newcommand{\gu}{\guk} \newcommand{\guzerozero}{\guk{00}} +\newcommand{\guzeroone}{\guk{01}} +\newcommand{\guzerotwo}{\guk{02}} +\newcommand{\guzerothree}{\guk{03}} +\newcommand{\guzerofour}{\guk{04}} \newcommand{\guoneone}{\guk{11}} \newcommand{\guonetwo}{\guk{12}} \newcommand{\guonethree}{\guk{13}} @@ -755,7 +802,7 @@ \newcommand{\gufourtwo}{\guk{42}} \newcommand{\gufourthree}{\guk{43}} \newcommand{\gufourfour}{\guk{44}} -\ExplSyntaxOn +\ExplSyntaxOn % Vectors formated as in M\&I, written in LaTeX3 \NewDocumentCommand{\mivector}{ O{,} m o }% {% \mi_vector:nn { #1 } { #2 } @@ -772,7 +819,7 @@ }% }% \ExplSyntaxOff -\ExplSyntaxOn +\ExplSyntaxOn % Column and row vectors, written in LaTeX3 \seq_new:N \l__vector_arg_seq \cs_new_protected:Npn \vector_main:nnnn #1 #2 #3 #4 {% @@ -813,81 +860,119 @@ }% }% \newphysicsconstant{oofpez}{\ensuremath{\frac{1}{\phantom{_o}4\pi\ssub{\epsilon}{o}}}} -{\scin[9]{9}}{\ensuremath{\m\cubed\usk\kg\usk\reciprocalquartic\s\usk\\reciprocalsquared}} +{\scin[8.9876]{9}}{\m\cubed\usk\kg\usk\reciprocalquartic\s\usk\A\reciprocalsquared} [\m\per\farad][\newton\usk\m\squared\per\coulomb\squared] +\newcommand{\coulombconstant}{\oofpez} \newphysicsconstant{oofpezcs}{\ensuremath{\frac{1}{\phantom{_o}4\pi\ssub{\epsilon}{o} c^2\phantom{_o}}}}{\scin{-7}}{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared} [\T\usk\m\squared][\N\usk\s\squared\per\C\squared] -\newphysicsconstant{epsz}{\ensuremath{\ssub{\epsilon}{o}}}{\scin[9]{-12}} +\newcommand{\altcoulombconstant}{\oofpezcs} +\newphysicsconstant{vacuumpermittivity}{\ensuremath{\ssub{\epsilon}{o}}}{\scin[8.8542]{-12}} {\m\reciprocalcubed\usk\reciprocal\kg\usk\s\quarted\usk\A\squared}[\F\per\m] [\C\squared\per\N\usk\m\squared] \newphysicsconstant{mzofp}{\ensuremath{\frac{\phantom{_oo}\ssub{\mu}{o}\phantom{_o}} {4\pi}}}{\scin{-7}}{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared} -[\henry\per\m] -[\tesla\usk\m\per\A] -\newphysicsconstant{muz}{\ensuremath{\ssub{\mu}{o}}}{\scin[4\pi]{-7}} +[\henry\per\m][\tesla\usk\m\per\A] +\newcommand{\biotsavartconstant}{\mzofp} +\newphysicsconstant{vacuumpermeability}{\ensuremath{\ssub{\mu}{o}}}{\scin[4\pi]{-7}} {\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}[\henry\per\m] [\T\usk\m\per\A] -\newphysicsconstant{kboltz}{\ensuremath{\ssub{k}{B}}}{\scin[1.38]{-23}} -{\kg\usk\m\squared\usk\reciprocalsquare\s\usk\reciprocal\K}[\joule\per\K][\J\per\K] -\newcommand{\kboltznev}{\ensuremath{\scin[8.62]{-5}{\eV\per\K}}} -\newphysicsconstant{stefan}{\ensuremath{\sigma}}{\scin[5.67]{-8}} +\newphysicsconstant{boltzmann}{\ensuremath{\ssub{k}{B}}}{\scin[1.3806]{-23}} +{\m\squared\usk\kg\usk\reciprocalsquare\s\usk\reciprocal\K}[\joule\per\K][\J\per\K] +\newcommand{\boltzmannconstant}{\boltzmann} +\newphysicsconstant{boltzmanninev}{\ensuremath{\ssub{k}{B}}}{\scin[8.6173]{-5}} +{\eV\usk\reciprocal\K}[\eV\per\K][\eV\per\K] +\newphysicsconstant{stefanboltzmann}{\ensuremath{\sigma}}{\scin[5.6704]{-8}} {\kg\usk\s\reciprocalcubed\usk\K\reciprocalquarted}[\W\per\m\squared\usk\K^4] [\W\per\m\squared\usk\K\quarted] -\newphysicsconstant{planck}{\ensuremath{h}}{\scin[6.62]{-34}} -{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s][\kg\usk\m\squared\per\s] -\newcommand{\plancknev}{\ensuremath{\scin[4.136]{-15}{\eV\usk\s}}} -\newphysicsconstant{planckbar}{\ensuremath{\hbar}}{\scin[1.05]{-34}} -{\m\squared\usk\kg\usk\reciprocal\s}[\joule\usk\s][\kg\usk\m\squared\per\s] -\newcommand{\planckbarnev}{\ensuremath{\scin[4.136]{-15}{\eV\usk\s}}} -\newphysicsconstant{Navogadro}{\ensuremath{\ssub{N}{A}}}{\scin[6.022]{23}} +\newcommand{\stefanboltzmannconstant}{\stefanboltzmann} +\newphysicsconstant{planck}{\ensuremath{h}}{\scin[6.6261]{-34}} +{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s][\J\usk\s] +\newcommand{\planckconstant}{\planck} +\newphysicsconstant{planckinev}{\ensuremath{h}}{\scin[4.1357]{-15}} +{\eV\usk\s}[\eV\usk\s][\eV\usk\s] +\newphysicsconstant{planckbar}{\ensuremath{\hbar}}{\scin[1.0546]{-34}} +{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s][\J\usk\s] +\newcommand{\reducedplanckconstant}{\planckbar} +\newphysicsconstant{planckbarinev}{\ensuremath{\hbar}}{\scin[6.5821]{-16}} +{\eV\usk\s}[\eV\usk\s][\eV\usk\s] +\newphysicsconstant{planckc}{\ensuremath{hc}}{\scin[1.9864]{-25}} +{\m\cubed\usk\kg\usk\reciprocalsquare\s}[\J\usk\m][\J\usk\m] +\newcommand{\planckconstanttimesc}{\planckc} +\newphysicsconstant{planckcinev}{\ensuremath{hc}}{\scin[1.9864]{-25}} +{\eV\usk\ensuremath{\mathrm{n}\m}}[\eV\usk\ensuremath{\mathrm{n}\m}] +[\eV\usk\ensuremath{\mathrm{n}\m}] +\newphysicsconstant{rydberg}{\ensuremath{\msub{R}{\infty}}}{\scin[1.0974]{7}} +{\reciprocal\m}[\reciprocal\m][\reciprocal\m] +\newcommand{\rydbergconstant}{\rydberg} +\newphysicsconstant{bohrradius}{\ensuremath{\msub{a}{0}}}{\scin[5.2918]{-11}}{\m}[\m][\m] +\newphysicsconstant{finestructure}{\ensuremath{\alpha}}{\scin[7.2974]{-3}}{\relax} +\newcommand{\finestructureconstant}{\finestructure} +\newphysicsconstant{avogadro}{\ensuremath{\ssub{N}{A}}}{\scin[6.0221]{23}} {\reciprocal\mol}[\reciprocal\mol][\reciprocal\mol] -\newphysicsconstant{bigG}{\ensuremath{G}}{\scin[6.67]{-11}} +\newcommand{\avogadroconstant}{\avogadro} +\newphysicsconstant{universalgrav}{\ensuremath{G}}{\scin[6.6738]{-11}} {\m\cubed\usk\reciprocal\kg\usk\s\reciprocalsquared}[\J\usk\m\per\kg\squared] [\N\usk\m\squared\per\kg\squared] -\newphysicsconstant{littleg}{\ensuremath{g}}{9.80}{\m\usk\s\reciprocalsquared} +\newcommand{\universalgravitationalconstant}{\universalgrav} +\newphysicsconstant{surfacegravfield}{\ensuremath{g}}{9.80}{\m\usk\s\reciprocalsquared} [\N\per\kg][\m\per\s\squared] -\newphysicsconstant{clight}{\ensuremath{c}}{\scin[3.00]{8}}{\m\usk\reciprocal\s} -[\m\usk\reciprocal\s][\m\per\s] -\newcommand{\clightnfn}{\ensuremath{\unit{1}{\mathrm{ft}\per\mathrm{n}\s}}} +\newcommand{\earthssurfacegravitationalfield}{\surfacegravfield} +\newphysicsconstant{clight}{\ensuremath{c}}{\scin[2.9979]{8}}{\m\usk\reciprocal\s} +[\m\per\s][\m\per\s] +\newcommand{\photonconstant}{\clight} +\newphysicsconstant{clightinfeet}{\ensuremath{c}}{0.9836} +{\ensuremath{\mathrm{ft}\usk\reciprocal\mathrm{n}\s}} +[\ensuremath{\mathrm{ft}\per\mathrm{n}\s}][\ensuremath{\mathrm{ft}\per\mathrm{n}\s}] \newphysicsconstant{Ratom}{\ensuremath{\ssub{r}{atom}}}{\scin{-10}}{\m}[\m][\m] -\newphysicsconstant{Mproton}{\ensuremath{\ssub{m}{proton}}}{\scin[1.673]{-27}} +\newcommand{\radiusofatom}{\Ratom} +\newphysicsconstant{Mproton}{\ensuremath{\ssub{m}{proton}}}{\scin[1.6726]{-27}} {\kg}[\kg][\kg] -\newphysicsconstant{Mneutron}{\ensuremath{\ssub{m}{neutron}}}{\scin[1.675]{-27}} +\newcommand{\massofproton}{\Mproton} +\newphysicsconstant{Mneutron}{\ensuremath{\ssub{m}{neutron}}}{\scin[1.6749]{-27}} {\kg}[\kg][\kg] -\newphysicsconstant{Mhydrogen}{\ensuremath{\ssub{m}{hydrogen}}}{\scin[1.673]{-27}} +\newcommand{\massofneutron}{\Mneutron} +\newphysicsconstant{Mhydrogen}{\ensuremath{\ssub{m}{hydrogen}}}{\scin[1.6737]{-27}} {\kg}[\kg][\kg] -\newphysicsconstant{Melectron}{\ensuremath{\ssub{m}{electron}}}{\scin[9.109]{-31}} +\newcommand{\massofhydrogen}{\Mhydrogen} +\newphysicsconstant{Melectron}{\ensuremath{\ssub{m}{electron}}}{\scin[9.1094]{-31}} {\kg}[\kg][\kg] -\newphysicsconstant{echarge}{\ensuremath{e}}{\scin[1.602]{-19}}{\A\usk\s}[\C][\C] +\newcommand{\massofelectron}{\Melectron} +\newphysicsconstant{echarge}{\ensuremath{e}}{\scin[1.6022]{-19}}{\A\usk\s}[\C][\C] +\newcommand{\elementarycharge}{\echarge} \newphysicsconstant{Qelectron}{\ensuremath{\ssub{Q}{electron}}}{-\echargevalue} {\A\usk\s}[\C][\C] \newphysicsconstant{qelectron}{\ensuremath{\ssub{q}{electron}}}{-\echargevalue} {\A\usk\s}[\C][\C] +\newcommand{\chargeofelectron}{\Qelectron} \newphysicsconstant{Qproton}{\ensuremath{\ssub{Q}{proton}}}{+\echargevalue} {\A\usk\s}[\C][\C] \newphysicsconstant{qproton}{\ensuremath{\ssub{q}{proton}}}{+\echargevalue} {\A\usk\s}[\C][\C] -\newphysicsconstant{MEarth}{\ensuremath{\ssub{M}{Earth}}}{\scin[6]{24}}{\kg}[\kg][\kg] -\newphysicsconstant{MMoon}{\ensuremath{\ssub{M}{Moon}}}{\scin[7]{22}}{\kg}[\kg][\kg] -\newphysicsconstant{MSun}{\ensuremath{\ssub{M}{Sun}}}{\scin[2]{30}}{\kg}[\kg][\kg] -\newphysicsconstant{REarth}{\ensuremath{\ssub{R}{Earth}}}{\scin[6.4]{6}}{\m}[\m][\m] -\newphysicsconstant{RMoon}{\ensuremath{\ssub{R}{Moon}}}{\scin[1.75]{6}}{\m}[\m][\m] -\newphysicsconstant{RSun}{\ensuremath{\ssub{R}{Sun}}}{\scin[7]{8}}{\m}[\m][\m] -\newphysicsconstant{ESdist}{\magvectsub{r}{ES}}{\scin[1.5]{11}}{\m}[\m][\m] -\newphysicsconstant{SEdist}{\magvectsub{r}{SE}}{\scin[1.5]{11}}{\m}[\m][\m] -\newphysicsconstant{EMdist}{\magvectsub{r}{EM}}{\scin[4]{8}}{\m}[\m][\m] -\newphysicsconstant{MEdist}{\magvectsub{r}{ME}}{\scin[4]{8}}{\m}[\m][\m] -\newcommand{\lightyear}{\ensuremath{\mathrm{ly}}} -\newcommand{\Lightyear}{\ensuremath{\mathrm{LY}}} -\newcommand{\cyear}{\ensuremath{c\usk\mathrm{year}}} -\newcommand{\cyr}{\ensuremath{c\usk\mathrm{yr}}} -\newcommand{\yyear}{\ensuremath{\mathrm{year}}} -\newcommand{\yr}{\ensuremath{\mathrm{yr}}} -\newcommand{\parsec}{\ensuremath{\mathrm{pc}}} -\newphysicsconstant{LSun}{\ensuremath{\ssub{L}{Sun}}}{\scin[4]{26}} +\newcommand{\chargeofproton}{\Qproton} +\newphysicsconstant{MEarth}{\ensuremath{\ssub{M}{Earth}}}{\scin[5.9736]{24}}{\kg}[\kg][\kg] +\newcommand{\massofEarth}{\MEarth} +\newphysicsconstant{MMoon}{\ensuremath{\ssub{M}{Moon}}}{\scin[7.3459]{22}}{\kg}[\kg][\kg] +\newcommand{\massofMoon}{\MMoon} +\newphysicsconstant{MSun}{\ensuremath{\ssub{M}{Sun}}}{\scin[1.9891]{30}}{\kg}[\kg][\kg] +\newcommand{\massofSun}{\MSun} +\newphysicsconstant{REarth}{\ensuremath{\ssub{R}{Earth}}}{\scin[6.3675]{6}}{\m}[\m][\m] +\newcommand{\radiusofEarth}{\REarth} +\newphysicsconstant{RMoon}{\ensuremath{\ssub{R}{Moon}}}{\scin[1.7375]{6}}{\m}[\m][\m] +\newcommand{\radiusofMoon}{\RMoon} +\newphysicsconstant{RSun}{\ensuremath{\ssub{R}{Sun}}}{\scin[6.9634]{8}}{\m}[\m][\m] +\newcommand{\radiusofSun}{\RSun} +\newphysicsconstant{ESdist}{\magvectsub{r}{ES}}{\scin[1.4960]{11}}{\m}[\m][\m] +\newphysicsconstant{SEdist}{\magvectsub{r}{SE}}{\scin[1.4960]{11}}{\m}[\m][\m] +\newcommand{\EarthSundistance}{\ESdist} +\newcommand{\SunEarthdistance}{\SEdist} +\newphysicsconstant{EMdist}{\magvectsub{r}{EM}}{\scin[3.8440]{8}}{\m}[\m][\m] +\newphysicsconstant{MEdist}{\magvectsub{r}{ME}}{\scin[3.8440]{8}}{\m}[\m][\m] +\newcommand{\EarthMoondistance}{\ESdist} +\newcommand{\MoonEarthdistance}{\SEdist} +\newphysicsconstant{LSun}{\ensuremath{\ssub{L}{Sun}}}{\scin[3.8460]{26}} {\m\squared\usk\kg\usk\s\reciprocalcubed}[\W][\J\per\s] -\newphysicsconstant{TSun}{\ensuremath{\ssub{T}{Sun}}}{5800}{\K}[\K][\K] +\newphysicsconstant{TSun}{\ensuremath{\ssub{T}{Sun}}}{5778}{\K}[\K][\K] \newphysicsconstant{MagSun}{\ensuremath{\ssub{M}{Sun}}}{+4.83}{}[][] \newphysicsconstant{magSun}{\ensuremath{\ssub{m}{Sun}}}{-26.74}{}[][] \newcommand{\Lstar}[1][\(\star\)]{\ensuremath{\ssub{L}{#1}}} @@ -900,8 +985,6 @@ c^2\phantom{_o}}}}{\scin{-7}}{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocal \newcommand{\Msolar}{\ensuremath{\Mstar[\(\odot\)]}} \newcommand{\Fstar}[1][\(\star\)]{\ensuremath{\ssub{F}{#1}}} \newcommand{\fstar}[1][\(\star\)]{\ensuremath{\ssub{f}{#1}}} -\newcommand{\FSun}{\ensuremath{\Fstar[Sun]}} -\newcommand{\fSun}{\ensuremath{\fstar[Sun]}} \newcommand{\Fsolar}{\ensuremath{\Fstar[\(\odot\)]}} \newcommand{\fsolar}{\ensuremath{\fstar[\(\odot\)]}} \newcommand{\Magstar}[1][\(\star\)]{\ensuremath{\ssub{M}{#1}}} @@ -921,17 +1004,36 @@ c^2\phantom{_o}}}}{\scin{-7}}{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocal \newcommand{\oneeighth}{\ensuremath{\frac{1}{8}}\xspace} \newcommand{\oneninth}{\ensuremath{\frac{1}{9}}\xspace} \newcommand{\onetenth}{\ensuremath{\frac{1}{10}}\xspace} +\newcommand{\twooneths}{\ensuremath{\frac{2}{1}}\xspace} +\newcommand{\twohalves}{\ensuremath{\frac{2}{2}}\xspace} \newcommand{\twothirds}{\ensuremath{\frac{2}{3}}\xspace} +\newcommand{\twofourths}{\ensuremath{\frac{2}{4}}\xspace} \newcommand{\twofifths}{\ensuremath{\frac{2}{5}}\xspace} +\newcommand{\twosixths}{\ensuremath{\frac{2}{6}}\xspace} \newcommand{\twosevenths}{\ensuremath{\frac{2}{7}}\xspace} +\newcommand{\twoeighths}{\ensuremath{\frac{2}{8}}\xspace} \newcommand{\twoninths}{\ensuremath{\frac{2}{9}}\xspace} +\newcommand{\twotenths}{\ensuremath{\frac{2}{10}}\xspace} +\newcommand{\threeoneths}{\ensuremath{\frac{3}{1}}\xspace} \newcommand{\threehalves}{\ensuremath{\frac{3}{2}}\xspace} +\newcommand{\threethirds}{\ensuremath{\frac{3}{3}}\xspace} \newcommand{\threefourths}{\ensuremath{\frac{3}{4}}\xspace} \newcommand{\threefifths}{\ensuremath{\frac{3}{5}}\xspace} +\newcommand{\threesixths}{\ensuremath{\frac{3}{6}}\xspace} \newcommand{\threesevenths}{\ensuremath{\frac{3}{7}}\xspace} \newcommand{\threeeighths}{\ensuremath{\frac{3}{8}}\xspace} +\newcommand{\threeninths}{\ensuremath{\frac{3}{9}}\xspace} \newcommand{\threetenths}{\ensuremath{\frac{3}{10}}\xspace} +\newcommand{\fouroneths}{\ensuremath{\frac{4}{1}}\xspace} +\newcommand{\fourhalves}{\ensuremath{\frac{4}{2}}\xspace} \newcommand{\fourthirds}{\ensuremath{\frac{4}{3}}\xspace} +\newcommand{\fourfourths}{\ensuremath{\frac{4}{4}}\xspace} +\newcommand{\fourfifths}{\ensuremath{\frac{4}{5}}\xspace} +\newcommand{\foursixths}{\ensuremath{\frac{4}{6}}\xspace} +\newcommand{\foursevenths}{\ensuremath{\frac{4}{7}}\xspace} +\newcommand{\foureighths}{\ensuremath{\frac{4}{8}}\xspace} +\newcommand{\fourninths}{\ensuremath{\frac{4}{9}}\xspace} +\newcommand{\fourtenths}{\ensuremath{\frac{4}{10}}\xspace} \newcommand{\dx}[1]{\ensuremath{\,\mathrm{d}{#1}}} \newcommand{\evalfromto}[3]{\ensuremath{\Bigg.{#1}\Bigg\rvert_{#2}^{#3}}} \@ifpackageloaded{physymb}{% @@ -1000,7 +1102,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand{\binomialseries}{\ensuremath{% (1 + x)^n \approx 1 + nx + \frac{n(n-1)}{2!}x^2 + \ldots}\xspace} \@ifpackageloaded{physymb}{% - \typeout{mandi: Package physymb detected. Its commands will be used.} + \typeout{mandi: Package physymb detected. Its commands will be used.} }{% \newcommand{\gradient}{\ensuremath{\nabla}} \newcommand{\divergence}{\ensuremath{\nabla\bullet}} @@ -1029,8 +1131,6 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \DeclareMathOperator{\sgn}{sgn} }% \DeclareMathOperator{\dex}{dex} -\newcommand{\eV}{\electronvolt} -\newcommand{\ev}{\electronvolt} \newcommand{\logb}[1][\relax]{\ensuremath{\log_{_{#1}}}} \ifthenelse{\boolean{@optitalicvectors}} {\newcommand{\cB}{\ensuremath{c\mskip -5.00mu B}}} @@ -1050,7 +1150,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand{\bquant}[1]{\ensuremath{\left[{#1}\right]}} \newcommand{\changein}[1]{\ensuremath{\delta{#1}}} \newcommand{\Changein}[1]{\ensuremath{\Delta{#1}}} -\newcommandx{\scin}[3][1,3=\!\!,usedefault]{\ensuremath{ +\newcommandx{\scin}[3][1,3=\!\!,usedefault]{\ensuremath{% \ifthenelse{\equal{#1}{}} {\unit{\msup{10}{#2}}{#3}} {\unit{\msup{{#1}\times 10}{#2}}{#3}}}} @@ -1060,11 +1160,11 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand{\hms}[3]{\ensuremath{{#1}^{\hour}{#2}^{\mathrm{m}}{#3}^{\s}}} \newcommand{\clockreading}{\hms} \newcommand{\latitude}[1]{\ensuremath{\unit{#1}{\degree}}} -\newcommand{\latitudeN}[1]{\ensuremath{\unit{#1}{\degree\; N}}} -\newcommand{\latitudeS}[1]{\ensuremath{\unit{#1}{\degree\; S}}} +\newcommand{\latitudeN}[1]{\ensuremath{\unit{#1}{\degree\;\mathrm{N}}}} +\newcommand{\latitudeS}[1]{\ensuremath{\unit{#1}{\degree\;\mathrm{S}}}} \newcommand{\longitude}[1]{\ensuremath{\unit{#1}{\degree}}} -\newcommand{\longitudeE}[1]{\ensuremath{\unit{#1}{\degree\; E}}} -\newcommand{\longitudeW}[1]{\ensuremath{\unit{#1}{\degree\; W}}} +\newcommand{\longitudeE}[1]{\ensuremath{\unit{#1}{\degree\;\mathrm{E}}}} +\newcommand{\longitudeW}[1]{\ensuremath{\unit{#1}{\degree\;\mathrm{W}}}} \newcommand{\ssub}[2]{\ensuremath{{#1}_{_{_{\mbox{\tiny{#2}}}}}}} \newcommand{\ssup}[2]{\ensuremath{{#1}^{^{^{\mbox{\tiny{#2}}}}}}} \newcommand{\ssud}[3]{\ensuremath{{#1}^{^{^{\mbox{\tiny{#2}}}}}_{_{_{\mbox{\tiny{#3}}}}}}} @@ -1072,6 +1172,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand{\msup}[2]{\ensuremath{#1^{^{\scriptstyle{#2}}}}} \newcommand{\msud}[3]{\ensuremath{#1^{^{\scriptstyle{#2}}}_{_{_{\scriptstyle{#3}}}}}} \newcommand{\levicivita}[1]{\ensuremath{\msub{\varepsilon}{#1}}} +\newcommand{\kronecker}[1]{\ensuremath{\msub{\delta}{#1}}} \newcommand{\xaxis}{\ensuremath{x\mbox{-axis }}} \newcommand{\yaxis}{\ensuremath{y\mbox{-axis }}} \newcommand{\zaxis}{\ensuremath{z\mbox{-axis }}} @@ -1119,36 +1220,37 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand{\platerthan}{\pwordoperator{later}{than}\xspace} \newcommand{\pforevery}{\pwordoperator{for}{every}\xspace} \newcommand{\defines}{\ensuremath{\stackrel{\text{\tiny{def}}}{=}}\xspace} -\newcommand{\inframe}[1][\relax]{\ensuremath{\xrightarrow[\tiny{\mathcal #1}]{}}\xspace} +\newcommand{\inframe}[1][\relax]{\ensuremath{\xrightarrow[\text\tiny{\mathcal #1}]{}}\xspace} \newcommand{\associates}{\ensuremath{\xrightarrow{\text{\tiny{assoc}}}}\xspace} \newcommand{\becomes}{\ensuremath{\xrightarrow{\text{\tiny{becomes}}}}\xspace} \newcommand{\rrelatedto}[1]{\ensuremath{\xLongrightarrow{\text{\tiny{#1}}}}} \newcommand{\lrelatedto}[1]{\ensuremath{\xLongleftarrow[\text{\tiny{#1}}]{}}} -\newcommand{\brelatedto}[2]{\ensuremath{ +\newcommand{\brelatedto}[2]{\ensuremath{% \xLongleftrightarrow[\text{\tiny{#1}}]{\text{\tiny{#2}}}}} -\newcommand{\momprinciple}{\ensuremath{ +\newcommand{\momentumprinciple}{\ensuremath{ \vectsub{p}{sys,f}=\vectsub{p}{sys,i}+\Fnetsys\Delta t}} -\newcommand{\LHSmomprinciple}{\ensuremath{ +\newcommand{\LHSmomentumprinciple}{\ensuremath{% \vectsub{p}{sys,f}}} -\newcommand{\RHSmomprinciple}{\ensuremath{ +\newcommand{\RHSmomentumprinciple}{\ensuremath{% \vectsub{p}{sys,i}+\Fnetsys\Delta t}} \newcommand{\energyprinciple}{\ensuremath{\ssub{E}{sys,f}=\ssub{E}{sys,i}+ \ssub{W}{ext}+Q}} \newcommand{\LHSenergyprinciple}{\ensuremath{\ssub{E}{sys,f}}} \newcommand{\RHSenergyprinciple}{\ensuremath{\ssub{E}{sys,i}+\ssub{W}{ext}+Q}} -\newcommand{\angularmomprinciple}{\ensuremath{\vectsub{L}{sys,A,f}=\vectsub{L}{sys,A,i}+ +\newcommand{\angularmomentumprinciple}{\ensuremath{\vectsub{L}{sys,A,f}= + \vectsub{L}{sys,A,i}+\Tnetsys\Delta t}} +\newcommand{\LHSangularmomentumprinciple}{\ensuremath{\vectsub{L}{sys,A,f}}} +\newcommand{\RHSangularmomentumprinciple}{\ensuremath{\vectsub{L}{sys,A,i}+ \Tnetsys\Delta t}} -\newcommand{\LHSangularmomprinciple}{\ensuremath{\vectsub{L}{sys,A,f}}} -\newcommand{\RHSangularmomprinciple}{\ensuremath{\vectsub{L}{sys,A,i}+\Tnetsys\Delta t}} -\newcommand{\gravinteraction}{\ensuremath{ - \bigGmathsymbol\frac{\msub{M}{1}\msub{M}{2}}{\msup{\magvectsub{r}{12}}{2}} +\newcommand{\gravitationalinteraction}{\ensuremath{% + \universalgravmathsymbol\frac{\msub{M}{1}\msub{M}{2}}{\msup{\magvectsub{r}{12}}{2}} \quant{-\dirvectsub{r}{12}}}} -\newcommand{\elecinteraction}{\ensuremath{ +\newcommand{\electricinteraction}{\ensuremath{% \oofpezmathsymbol\frac{\msub{Q}{1}\msub{Q}{2}}{\msup{\magvectsub{r}{12}}{2}} \dirvectsub{r}{12}}} -\newcommand{\Bfieldofparticle}{\ensuremath{ +\newcommand{\Bfieldofparticle}{\ensuremath{% \mzofpmathsymbol\frac{Q\magvect{v}}{\msup{\magvect{r}}{2}}\dirvect{v}\times\dirvect{r}}} -\newcommand{\Efieldofparticle}{\ensuremath{ +\newcommand{\Efieldofparticle}{\ensuremath{% \oofpezmathsymbol\frac{Q}{\msup{\magvect{r}}{2}}\dirvect{r}}} \newcommand{\Esys}{\ssub{E}{sys}} \newcommandx{\Us}[1][1]{\ssub{\ssub{U}{s}}{#1}} @@ -1195,10 +1297,10 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \newcommand{\Tnetext}{\ensuremath{\vectsub{T}{net,ext}}} \newcommand{\Tnetsys}{\ensuremath{\vectsub{T}{net,sys}}} \newcommand{\Tsub}[1]{\ensuremath{\vectsub{T}{#1}}} -\newcommand{\vpythonline}{\lstinline[language=Python,numbers=left,numberstyle=\tiny, +\newcommand{\vpythonline}{\lstinline[language=Python,numbers=left,numberstyle=\tiny,% upquote=true,breaklines]} \lstnewenvironment{vpythonblock}{\lstvpython}{} -\newcommand{\vpythonfile}{\lstinputlisting[language=Python,numbers=left, +\newcommand{\vpythonfile}{\lstinputlisting[language=Python,numbers=left,% numberstyle=\tiny,upquote=true,breaklines]} \newcommandx{\emptyanswer}[2][1=0.80,2=0.1,usedefault] {\begin{minipage}{#1\textwidth}\hfill\vspace{#2\textheight}\end{minipage}} @@ -1215,7 +1317,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \response@fbox{\usebox{\@tempboxa}}% \end{center}% }% -\newenvironmentx{adjactivityanswer}[5][1=white,2=black,3=black,4=0.90,5=0.00, +\newenvironmentx{adjactivityanswer}[5][1=white,2=black,3=black,4=0.90,5=0.00,% usedefault]{% \def\skipper{#5}% \def\response@fbox{\fcolorbox{#2}{#1}}% @@ -1230,7 +1332,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}% }% \newcommandx{\emptybox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.10,usedefault] - {\begin{center} + {\begin{center}% \fcolorbox{#3}{#2}{% \begin{minipage}[c][#6\textheight][c]{#5\textwidth}\color{#4}% {#1}% @@ -1239,7 +1341,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}% }% \newcommandx{\adjemptybox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,6=,7=0.0,usedefault] - {\begin{center} + {\begin{center}% \fcolorbox{#3}{#2}{% \begin{minipage}[c]{#5\textwidth}\color{#4}% \vspace{#7\textheight}% @@ -1250,7 +1352,7 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}% }% \newcommandx{\answerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.1,usedefault] - {\ifthenelse{\equal{#1}{}} + {\ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% \emptyanswer[#5][#6]}% @@ -1258,8 +1360,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\adjanswerbox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.1,7=0.0, - usedefault] +\newcommandx{\adjanswerbox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.1,7=0.0,% + usedefault]% {\ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% @@ -1268,9 +1370,9 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\adjemptybox[#1][#2][#3][#4][#5][#6][#7]}% }% -\newcommandx{\smallanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.10, - usedefault] - {\ifthenelse{\equal{#1}{}} +\newcommandx{\smallanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.10,% + usedefault]% + {\ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% \emptyanswer[#5][#6]}% @@ -1278,9 +1380,9 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}}% {\emptybox[#1][#2][#3][#4][#5][#6]}% }% -\newcommandx{\mediumanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.20, +\newcommandx{\mediumanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.20,% usedefault]{% - \ifthenelse{\equal{#1}{}} + \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% \emptyanswer[#5][#6]% @@ -1288,12 +1390,12 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% - {\emptybox[#1][#2][#3][#4][#5][#6] + {\emptybox[#1][#2][#3][#4][#5][#6]% }% }% -\newcommandx{\largeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.25, +\newcommandx{\largeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.25,% usedefault]{% - \ifthenelse{\equal{#1}{}} + \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% \emptyanswer[#5][#6]% @@ -1301,12 +1403,12 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% - {\emptybox[#1][#2][#3][#4][#5][#6] + {\emptybox[#1][#2][#3][#4][#5][#6]% }% }% -\newcommandx{\largeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.33, +\newcommandx{\largeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.33,% usedefault]{% - \ifthenelse{\equal{#1}{}} + \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% \emptyanswer[#5][#6]% @@ -1314,10 +1416,10 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% - {\emptybox[#1][#2][#3][#4][#5][#6] + {\emptybox[#1][#2][#3][#4][#5][#6]% }% }% -\newcommandx{\hugeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.50, +\newcommandx{\hugeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.50,% usedefault]{% \ifthenelse{\equal{#1}{}} {\begin{center}% @@ -1327,12 +1429,12 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% - {\emptybox[#1][#2][#3][#4][#5][#6] + {\emptybox[#1][#2][#3][#4][#5][#6]% }% }% -\newcommandx{\hugeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.75, +\newcommandx{\hugeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.75,% usedefault]{% - \ifthenelse{\equal{#1}{}} + \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% \emptyanswer[#5][#6]% @@ -1340,12 +1442,12 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \vspace{\baselineskip}% \end{center}% }% - {\emptybox[#1][#2][#3][#4][#5][#6] + {\emptybox[#1][#2][#3][#4][#5][#6]% }% }% -\newcommandx{\fullpageanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=1.00, +\newcommandx{\fullpageanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=1.00,% usedefault]{% - \ifthenelse{\equal{#1}{}} + \ifthenelse{\equal{#1}{}}% {\begin{center}% \fcolorbox{#3}{#2}{% \emptyanswer[#5][#6]}% @@ -1391,9 +1493,9 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \NewEnviron{miderivation}{% \begin{mdframed}[style=miderivationstyle] \setcounter{equation}{0} - \begin{align} + \begin{align*} \BODY - \end{align} + \end{align*} \end{mdframed} }% \mdfdefinestyle{bwinstructornotestyle}{% @@ -1434,9 +1536,9 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \NewEnviron{bwderivation}{% \begin{mdframed}[style=bwderivationstyle] \setcounter{equation}{0} - \begin{align} + \begin{align*} \BODY - \end{align} + \end{align*} \end{mdframed} }% \newcommand{\checkpoint}{% @@ -1450,29 +1552,45 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld \end{center}% \end{figure}} \newcommand{\sneakyone}[1]{\ensuremath{\cancelto{1}{\frac{#1}{#1}}}} -\newcommand{\chkphysicsquantity}[1]{% - \cs{#1} +\newcommand{\chkquantity}[1]{% + \begin{center} + \begin{tabular}{C{3cm} C{3cm} C{3cm} C{3cm}} + name & baseunit & drvdunit & tradunit \tabularnewline + \cs{#1} & \csname #1onlybaseunit\endcsname & \csname #1onlydrvdunit\endcsname & + \csname #1onlytradunit\endcsname + \end{tabular} + \end{center} +}% +\newcommand{\chkconstant}[1]{% + \begin{center} + \begin{tabular}{C{3cm} C{1cm} C{2cm} C{3cm} C{3cm} C{3cm}} + name & symbol & value & baseunit & drvdunit & tradunit \tabularnewline + \cs{#1} & \csname #1mathsymbol\endcsname & \csname #1value\endcsname & + \csname #1onlybaseunit\endcsname & \csname #1onlydrvdunit\endcsname & + \csname #1onlytradunit\endcsname + \end{tabular} + \end{center} }% \newcommandx{\vecto}[2][2,usedefault]{\ensuremath{% \ifthenelse{\equal{#2}{}}% - {\vec{\mathrm #1}}% - {\ssub{\vec{\mathrm #1}}{#2}}}}% -\newcommandx{\compvecto}[3][2,usedefault]{\ensuremath{% - \ifthenelse{\equal{#2}{}}% - {\ssub{\mathrm #1}{\(#3\)}}% - {\ssub{\mathrm #1}{#2,\(#3\)}}}}% + {\vec{#1}}% + {\ssub{\vec{#1}}{#2}}}}% +\newcommandx{\compvecto}[3][3,usedefault]{\ensuremath{% + \ifthenelse{\equal{#3}{}}% + {\ssub{#1}{\(#2\)}}% + {\ssub{#1}{\(#2\),#3}}}}% \newcommandx{\scompsvecto}[2][2,usedefault]{\ensuremath{% \ifthenelse{\equal{#2}{}}% {\lv\compvecto{#1}{x},\compvecto{#1}{y},\compvecto{#1}{z}\rv}% - {\lv\compvecto{#1}[#2]{x},\compvecto{#1}[#2]{y},\compvecto{#1}[#2]{z}\rv}}}% -\newcommandx{\compposo}[2][1,usedefault]{\ensuremath{% + {\lv\compvecto{#1}{x}[#2],\compvecto{#1}{y}[#2],\compvecto{#1}{z}[#2]\rv}}}% +\newcommandx{\compposo}[2][2,usedefault]{\ensuremath{% \ifthenelse{\equal{#1}{}}% - {#2}% - {\ssub{#2}{#1}}}}% + {#1}% + {\ssub{#1}{#2}}}}% \newcommandx{\scompsposo}[1][1,usedefault]{\ensuremath{% \ifthenelse{\equal{#1}{}}% {\lv\compposo{x},\compposo{y},\compposo{z}\rv}% - {\lv\compposo[#1]{x},\compposo[#1]{y},\compposo[#1]{z}\rv}}}% + {\lv\compposo{x}[#1],\compposo{y}[#1],\compposo{z}[#1]\rv}}}% \endinput %% %% End of file `mandi.sty'. |