diff options
author | Karl Berry <karl@freefriends.org> | 2012-12-31 23:17:17 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2012-12-31 23:17:17 +0000 |
commit | f7d44df0c7bc9939ac13ff254fe97b47af0b16b9 (patch) | |
tree | 38c5af534c6e3040c10c3d03694ee7f6f26bdcf6 /Master/texmf-dist/tex/latex | |
parent | 3c0d257b00b36e468d76902fa2e37b97b490afba (diff) |
new latex package mandi (31dec12)
git-svn-id: svn://tug.org/texlive/trunk@28677 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/tex/latex')
-rw-r--r-- | Master/texmf-dist/tex/latex/mandi/mandi.sty | 1371 |
1 files changed, 1371 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/latex/mandi/mandi.sty b/Master/texmf-dist/tex/latex/mandi/mandi.sty new file mode 100644 index 00000000000..acaf0bf1399 --- /dev/null +++ b/Master/texmf-dist/tex/latex/mandi/mandi.sty @@ -0,0 +1,1371 @@ +%% +%% This is file `mandi.sty', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% mandi.dtx (with options: `package') +%% +%% Copyright (C) 2011,2012 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 +%% your option) any later version. The latest version of this license is in +%% http://www.latex-project.org/lppl.txt +%% and version 1.3 or later is part of all distributions of LaTeX version +%% 2005/12/01 or later. +%% +%% 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 +%% +%% and includes the derived files README +%% mandi.ins +%% mandi.sty +%% mandi.pdf and +%% vdemo.py. +%% --------------------------------------------------------------------------- +%% +\ProvidesPackage{mandi}[2012/12/31 2.0.0 Macros for intro physics and astronomy] +\NeedsTeXFormat{LaTeX2e}[1999/12/01] +\RequirePackage[intlimits]{amsmath} +\RequirePackage{amssymb} +\RequirePackage{bigints} +\RequirePackage{cancel} +\RequirePackage[leftbars,color]{changebar} +\RequirePackage[dvipsnames]{xcolor} +\RequirePackage{environ} +\RequirePackage{etoolbox} +\RequirePackage{extarrows} +\RequirePackage{filehook} +\RequirePackage[T1]{fontenc} +\RequirePackage{graphicx} +\RequirePackage{epstopdf} +\RequirePackage{textcomp} +\RequirePackage{letltxmacro} +\RequirePackage{listings} +\RequirePackage[framemethod=TikZ]{mdframed} +\RequirePackage[amssymb,cdot,derivedinbase,derived,thickqspace]{SIunits} +\RequirePackage{suffix} +\RequirePackage{xargs} +\RequirePackage{xparse} +\RequirePackage{xspace} +\RequirePackage{ifthen} +\RequirePackage{calligra} +\DeclareMathAlphabet{\mathcalligra}{T1}{calligra}{m}{n} +\DeclareFontShape{T1}{calligra}{m}{n}{<->s*[2.2]callig15}{} +\DeclareGraphicsRule{.tif}{png}{.png}{`convert #1 `basename #1 .tif`.png} +\DeclareMathAlphabet{\mathpzc}{OT1}{pzc}{m}{it} +\usetikzlibrary{shadows} +\definecolor{vpythoncolor}{rgb}{0.95,0.95,0.95} +\newcommand{\lstvpython}{\lstset{language=Python,numbers=left,numberstyle=\tiny, + backgroundcolor=\color{vpythoncolor},upquote=true,breaklines}} +\newboolean{@optitalicvectors} +\newboolean{@optdoubleabsbars} +\newboolean{@optbaseunits} +\newboolean{@optdrvdunits} +\setboolean{@optitalicvectors}{false} +\setboolean{@optdoubleabsbars}{false} +\setboolean{@optbaseunits}{false} +\setboolean{@optdrvdunits}{false} +\DeclareOption{italicvectors}{\setboolean{@optitalicvectors}{true}} +\DeclareOption{doubleabsbars}{\setboolean{@optdoubleabsbars}{true}} +\DeclareOption{baseunits}{\setboolean{@optbaseunits}{true}} +\DeclareOption{drvdunits}{\setboolean{@optdrvdunits}{true}} +\ProcessOptions\relax +\AtBeginOfPackageFile*{SIunits}{% +\csundef{power} + \csundef{square} + \newcommand*{\square}[1]{\ensuremath{\mathrm{#1}^{2}}} + \renewcommand*{\squared}{\ensuremath{^{\mathrm{2}}}} + \renewcommand*{\cubic}[1]{\ensuremath{\mathrm{#1}^{3}}} + \renewcommand*{\cubed}{\ensuremath{^{\mathrm{3}}}} +\renewcommand*{\fourth}[1]{\ensuremath{\mathrm{#1}^{4}}} +\renewcommand*{\reciprocal}[1]{\ensuremath{\mathrm{#1}^{\SIminus1}}} +\renewcommand*{\rp}{\ensuremath{^{\mathrm{\SIminus1}}}} +\renewcommand*{\rpsquare}[1]{\ensuremath{\mathrm{#1}^{\SIminus2}}} +\renewcommand*{\rpsquared}{\ensuremath{^{\mathrm{\SIminus2}}}} +\renewcommand*{\rpcubic}[1]{\ensuremath{\mathrm{#1}^{\SIminus3}}} +\renewcommand*{\rpcubed}{\ensuremath{^{\mathrm{\SIminus3}}}} +\renewcommand*{\rpfourth}[1]{\ensuremath{\mathrm{#1}^{\SIminus4}}} +\typeout{mandi: SIunits conflicts fixed, but don't use \protect\square\space.} +}% +\newcommand\mi@exchangeargs[2]{#2#1}% +\newcommand\mi@name{}% +\long\def\mi@name#1#{\romannumeral0\mi@innername{#1}}% +\newcommand\mi@innername[2]{% + \expandafter\mi@exchangeargs\expandafter{\csname#2\endcsname}{#1}}% +\begingroup +\@firstofone{% + \endgroup + \newcommand\mi@forkifnull[3]{% + \romannumeral\iffalse{\fi\expandafter\@secondoftwo\expandafter + {\expandafter{\string#1}\expandafter\@secondoftwo\string}% + \expandafter\@firstoftwo\expandafter{\iffalse}\fi0 #3}{0 #2}}}% +\newcommand\selectbaseunit[3]{#1} +\newcommand\selectdrvdunit[3]{#2} +\newcommand\selecttradunit[3]{#3} +\newcommand\selectunit{} +\newcommand\perpusebaseunit{\let\selectunit=\selectbaseunit} +\newcommand\perpusedrvdunit{\let\selectunit=\selectdrvdunit} +\newcommand\perpusetradunit{\let\selectunit=\selecttradunit} +\newcommand\hereusebaseunit[1]{% + \begingroup\perpusebaseunit#1\endgroup}% +\newcommand\hereusedrvdunit[1]{% + \begingroup\perpusedrvdunit#1\endgroup}% +\newcommand\hereusetradunit[1]{% + \begingroup\perpusetradunit#1\endgroup}% +\newenvironment{usebaseunit}{\perpusebaseunit}{}% +\newenvironment{usedrvdunit}{\perpusedrvdunit}{}% +\newenvironment{usetradunit}{\perpusetradunit}{}% +\newcommand*\newphysicsquantity{\definephysicsquantity{\newcommand}} +\newcommand*\redefinephysicsquantity{\definephysicsquantity{\renewcommand}} +\newcommandx\definephysicsquantity[5][4=,5=]{% + \innerdefinewhatsoeverquantityfork{#3}{#4}{#5}{#1}{#2}{}{[1]}{##1}}% +\newcommand*\newphysicsconstant{\definephysicsconstant{\newcommand}} +\newcommand*\redefinephysicsconstant{\definephysicsconstant{\renewcommand}} +\newcommandx\definephysicsconstant[7][6=,7=]{% + \innerdefinewhatsoeverquantityfork{#5}{#6}{#7}{#1}{#2}{#3}{}{#4}}% +\newcommand\innerdefinewhatsoeverquantityfork[3]{% + \expandafter\innerdefinewhatsoeverquantity\romannumeral0% + \mi@forkifnull{#3}{\mi@forkifnull{#2}{{#1}}{{#2}}{#1}}% + {\mi@forkifnull{#2}{{#1}}{{#2}}{#3}}{#1}}% +\newcommand\innerdefinewhatsoeverquantity[8]{% + \mi@name#4{#5}#7{\ensuremath{\unit{#8}{\selectunit{#3}{#1}{#2}}}}% + \mi@name#4{#5baseunit}#7{\ensuremath{\unit{#8}{#3}}}% + \mi@name#4{#5drvdunit}#7{\ensuremath{\unit{#8}{#1}}}% + \mi@name#4{#5tradunit}#7{\ensuremath{\unit{#8}{#2}}}% + \mi@name#4{#5onlyunit}{\ensuremath{\selectunit{#3}{#1}{#2}}}% + \mi@name#4{#5onlybaseunit}{\ensuremath{#3}}% + \mi@name#4{#5onlydrvdunit}{\ensuremath{#1}}% + \mi@name#4{#5onlytradunit}{\ensuremath{#2}}% + \mi@name#4{#5value}#7{\ensuremath{#8}}% + \mi@forkifnull{#7}{% + \ifx#4\renewcommand\mi@name\let{#5mathsymbol}=\relax\fi + \mi@name\newcommand{#5mathsymbol}{\ensuremath{#6}}}{}}% +\ifthenelse{\boolean{@optitalicvectors}} + {\typeout{mandi: You'll get italic vector kernels.}} + {\typeout{mandi: You'll get Roman vector kernels.}} +\ifthenelse{\boolean{@optdoubleabsbars}} + {\typeout{mandi: You'll get double absolute value bars.}} + {\typeout{mandi: You'll get single absolute value bars.}} +\ifthenelse{\boolean{@optbaseunits}} + {\perpusebaseunit % + \typeout{mandi: You'll get base units.}} + {\ifthenelse{\boolean{@optdrvdunits}} + {\perpusedrvdunit % + \typeout{mandi: You'll get derived units.}} + {\perpusetradunit % + \typeout{mandi: You'll get traditional units.}}} +\def\resetMathstrut@{% + \setbox\z@\hbox{% + \mathchardef\@tempa\mathcode`\[\relax + \def\@tempb##1"##2##3{\the\textfont"##3\char"}% + \expandafter\@tempb\meaning\@tempa \relax + }% + \ht\Mathstrutbox@\ht\z@ \dp\Mathstrutbox@\dp\z@} +\begingroup + \catcode`(\active \xdef({\left\string(} + \catcode`)\active \xdef){\right\string)} +\endgroup +\mathcode`(="8000 \mathcode`)="8000 +\typeout{mandi: parentheses made adjustable in math mode.} +\let\oldr@@t\r@@t +\def\r@@t#1#2{% +\setbox0=\hbox{\(\oldr@@t#1{#2\,}\)}\dimen0=\ht0 +\advance\dimen0-0.2\ht0 +\setbox2=\hbox{\vrule height\ht0 depth -\dimen0}% +{\box0\lower0.4pt\box2}} +\LetLtxMacro{\oldsqrt}{\sqrt} +\renewcommand*{\sqrt}[2][\relax]{\oldsqrt[#1]{#2}} +\typeout{mandi: square root symbol fixed.} +\newcommand{\m}{\metre} +\newcommand{\kg}{\kilogram} +\newcommand{\s}{\second} +\newcommand{\A}{\ampere} +\newcommand{\K}{\kelvin} +\newcommand{\mol}{\mole} +\newcommand{\cd}{\candela} +\newphysicsquantity{displacement}{\m}[\m][\m] +\newphysicsquantity{mass}{\kg}[\kg][\kg] +\newphysicsquantity{duration}{\s}[\s][\s] +\newphysicsquantity{current}{\A}[\A][\A] +\newphysicsquantity{temperature}{\K}[\K][\K] +\newphysicsquantity{amount}{\mol}[\mol][\mol] +\newphysicsquantity{luminous}{\cd}[\cd][\cd] +\newphysicsquantity{planeangle}{\m\usk\reciprocal\m}[\radian][\radian] +\newphysicsquantity{solidangle}{\m\squared\usk\rpsquare\m}[\steradian][\steradian] +\newcommand{\indegrees}[1]{\ensuremath{\unit{#1}{\degree}}} +\newcommand{\inarcminutes}[1]{\ensuremath{\unit{#1}{\arcminute}}} +\newcommand{\inarcseconds}[1]{\ensuremath{\unit{#1}{\arcsecond}}} +\newcommand{\ineV}[1]{\ensuremath{\unit{#1}{\electronvolt}}} +\newcommand{\inAU}[1]{\ensuremath{\unit{#1}{AU}}} +\newcommand{\velocityc}[1]{\ensuremath{#1c}} +\newphysicsquantity{velocity}{\m\usk\reciprocal\s}[\m\usk\reciprocal\s][\m\per\s] +\newphysicsquantity{acceleration}{\m\usk\s\rpsquared}[\newton\per\kg][\m\per\s\squared] +\newcommand{\gamman}[1]{\ensuremath{#1}} +\newphysicsquantity{momentum}{\m\usk\kg\usk\reciprocal\s}[\newton\usk\s][\kg\usk\m\per\s] +\newphysicsquantity{impulse}{\m\usk\kg\usk\reciprocal\s}[\newton\usk\s][\kg\usk\m\per\s] +\newphysicsquantity{force}{\m\usk\kg\usk\s\rpsquared}[\newton][\newton] +\newphysicsquantity{springstiffness}{\kg\usk\s\rpsquared}[\newton\per\m][\newton\per\m] +\newphysicsquantity{springstretch}{\m} +\newphysicsquantity{area}{\m\squared} +\newphysicsquantity{volume}{\cubic\m} +\newphysicsquantity{linearmassdensity}{\reciprocal\m\usk\kg}[\kg\per\m][\kg\per\m] +\newphysicsquantity{areamassdensity}{\m\rpsquared\usk\kg}[\kg\per\m\squared] +[\kg\per\m\squared] +\newphysicsquantity{volumemassdensity}{\m\rpcubed\usk\kg}[\kg\per\m\cubed] +[\kg\per\m\cubed] +\newphysicsquantity{youngsmodulus}{\reciprocal\m\usk\kg\usk\s\rpsquared} +[\newton\per\m\squared][\pascal] +\newphysicsquantity{work}{\m\squared\usk\kilogram\usk\s\rpsquared}[\joule] +[\newton\usk\m] +\newphysicsquantity{energy}{\m\squared\usk\kilogram\usk\s\rpsquared}[\joule] +[\newton\usk\m] +\newphysicsquantity{power}{\m\squared\usk\kg\usk\s\rpcubed}[\watt][\joule\per\s] +\newphysicsquantity{angularvelocity}{\radian\usk\reciprocal\s}[\radian\per\s] +[\radian\per\s] +\newphysicsquantity{angularacceleration}{\radian\usk\s\rpsquared}[\radian\per\s\squared] +[\radian\per\s\squared] +\newphysicsquantity{angularmomentum}{\m\squared\usk\kg\usk\reciprocal\s}[\joule\usk\s] +[\kg\usk\m\squared\per\s] +\newphysicsquantity{momentofinertia}{\m\squared\usk\kg}[\joule\usk\s\squared] +[\kg\usk\m\squared] +\newphysicsquantity{torque}{\m\squared\usk\kg\usk\s\rpsquared}[\joule\per\radian] +[\newton\usk\m] +\newphysicsquantity{entropy}{\m\squared\usk\kilogram\usk\s\rpsquared\usk\reciprocal\K} +[\joule\per\K][\joule\per\K] +\newphysicsquantity{wavelength}{\m}[\m][\m] +\newphysicsquantity{wavenumber}{\reciprocal\m}[\per\m][\per\m] +\newphysicsquantity{frequency}{\reciprocal\s}[\hertz][\hertz] +\newphysicsquantity{angularfrequency}{\radian\usk\reciprocal\s}[\radian\per\s] +[\radian\per\s] +\newphysicsquantity{charge}{\A\usk\s}[\coulomb][\coulomb] +\newphysicsquantity{permittivity}{\m\rpcubed\usk\reciprocal\kg\usk\s^{4}\usk\A\squared} +[\farad\per\m][\coulomb\squared\per\newton\usk\m\squared] +\newphysicsquantity{permeability}{\m\usk\kg\usk\s\rpsquared\usk\A\rpsquared} +[\henry\per\m][\tesla\usk\m\per\A] +\newphysicsquantity{electricfield}{\m\usk\kg\usk\s\rpcubed\usk\reciprocal\A}[\volt\per\m] +[\newton\per\coulomb] +\newphysicsquantity{electricdipolemom}{\m\usk\s\usk\A}[\coulomb\usk\m][\coulomb\usk\m] +\newphysicsquantity{magneticfield}{\kg\usk\s\rpsquared\usk\reciprocal\A}[\tesla] +[\newton\per\coulomb\usk(\m\per\s)] +\newphysicsquantity{cmagneticfield}{\m\usk\kg\usk\s\rpcubed\usk\reciprocal\A}[\volt\per\m] +[\newton\per\coulomb] +\newcommand{\lv}{\ensuremath{\left\langle}} +\newcommand{\rv}{\ensuremath{\right\rangle}} +\newcommand{\symvect}{\mivector} +\newcommand{\ncompsvect}{\mivector} +\ExplSyntaxOn +\NewDocumentCommand{\magvectncomps}{ m O{} } + {% + \sum_of_squares:nn { #1 }{ #2 } + }% + +\cs_new:Npn \sum_of_squares:nn #1 #2 + {% + \tl_if_empty:nTF { #2 } + {% + \clist_set:Nn \l_tmpa_clist { #1 } + \ensuremath{% + \sqrt{(\clist_use:Nnnn \l_tmpa_clist { )^2+( } { )^2+( } { )^2+( } )^2 } + }% + }% + {% + \clist_set:Nn \l_tmpa_clist { #1 } + \ensuremath{% + \sqrt{(\clist_use:Nnnn \l_tmpa_clist {\;{ #2 })^2+(} {\;{ #2 })^2+(} + {\;{ #2 })^2+(} \;{ #2 })^2} + }% + }% + }% +\ExplSyntaxOff +\newcommand{\zerovect}{\vect{0}} +\newcommand{\ncompszerovect}{\mivector{0,0,0}} +\ifthenelse{\boolean{@optitalicvectors}} + {\newcommand{\vect}[1]{\ensuremath{\vec{#1}}}} + {\newcommand{\vect}[1]{\ensuremath{\vec{\mathrm{#1}}}}} +\ifthenelse{\boolean{@optdoubleabsbars}} + {\newcommand{\magvect}[1]{\ensuremath{\magof{\vect{#1}}}}} + {\newcommand{\magvect}[1]{\ensuremath{\abs{\vect{#1}}}}} +\newcommand{\dmagvect}[1]{\ensuremath{\dx{\magvect{#1}}}} +\newcommand{\Dmagvect}[1]{\ensuremath{\Delta\!\magvect{#1}}} +\ifthenelse{\boolean{@optitalicvectors}} + {\newcommand{\dirvect}[1]{\ensuremath{\widehat{{#1}}}}} + {\newcommand{\dirvect}[1]{\ensuremath{\widehat{\mathrm{#1}}}}} +\ifthenelse{\boolean{@optitalicvectors}} + {\newcommand{\compvect}[2]{\ensuremath{\ssub{#1}{\(#2\)}}}} + {\newcommand{\compvect}[2]{\ensuremath{\ssub{\mathrm{#1}}{\(#2\)}}}} +\newcommand{\scompsvect}[1]{\ensuremath{\lv + \compvect{#1}{x}, + \compvect{#1}{y}, + \compvect{#1}{z}\rv}} +\newcommand{\magvectscomps}[1]{\ensuremath{\sqrt{ + \msup{\compvect{#1}{x}}{2}+ + \msup{\compvect{#1}{y}}{2}+ + \msup{\compvect{#1}{z}}{2}}}} +\newcommand{\dvect}[1]{\ensuremath{\mathrm{d}\vect{#1}}} +\newcommand{\Dvect}[1]{\ensuremath{\Delta\vect{#1}}} +\newcommand{\dirdvect}[1]{\ensuremath{\widehat{\dvect{#1}}}} +\newcommand{\dirDvect}[1]{\ensuremath{\widehat{\Dvect{#1}}}} +\newcommand{\ddirvect}[1]{\ensuremath{\mathrm{d}\dirvect{E}}} +\newcommand{\Ddirvect}[1]{\ensuremath{\Delta\dirvect{E}}} +\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}}}}} +\newcommand{\compdvect}[2]{\ensuremath{\mathrm{d}\compvect{#1}{#2}}} +\newcommand{\compDvect}[2]{\ensuremath{\Delta\compvect{#1}{#2}}} +\newcommand{\scompsdvect}[1]{\ensuremath{\lv + \compdvect{#1}{x}, + \compdvect{#1}{y}, + \compdvect{#1}{z}\rv}} +\newcommand{\scompsDvect}[1]{\ensuremath{\lv + \compDvect{#1}{x}, + \compDvect{#1}{y}, + \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{\scompsdervect}[2]{\ensuremath{\lv + \compdervect{#1}{#2}{x}, + \compdervect{#1}{#2}{y}, + \compdervect{#1}{#2}{z}\rv}} +\newcommand{\scompsDervect}[2]{\ensuremath{\lv + \compDervect{#1}{#2}{x}, + \compDervect{#1}{#2}{y}, + \compDervect{#1}{#2}{z}\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}}}}} +\newcommand{\dermagvect}[2]{\ensuremath{\dbyd{\magvect{#1}}{#2}}} +\newcommand{\Dermagvect}[2]{\ensuremath{\DbyD{\magvect{#1}}{#2}}} +\newcommand{\scompspos}{\mivector{x,y,z}} +\newcommand{\comppos}[1]{\ensuremath{{#1}}} +\newcommand{\scompsdpos}{\mivector{\mathrm{d}x,\mathrm{d}y,\mathrm{d}z}} +\newcommand{\scompsDpos}{\mivector{\Delta x,\Delta y,\Delta z}} +\newcommand{\compdpos}[1]{\ensuremath{\mathrm{d}{#1}}} +\newcommand{\compDpos}[1]{\ensuremath{\Delta{#1}}} +\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}} +\newcommand{\compderpos}[2]{\ensuremath{\frac{\mathrm{d}{#1}}{\mathrm{d}{#2}}}} +\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{\scompsvectsub}[2]{\ensuremath{\lv + \compvectsub{#1}{#2}{x}, + \compvectsub{#1}{#2}{y}, + \compvectsub{#1}{#2}{z}\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}}}} +\ifthenelse{\boolean{@optitalicvectors}} + {\newcommand{\dirvectsub}[2]{\ensuremath{\ssub{\widehat{#1}}{#2}}}} + {\newcommand{\dirvectsub}[2]{\ensuremath{\ssub{\widehat{\mathrm{#1}}}{#2}}}} +\newcommand{\dvectsub}[2]{\ensuremath{\mathrm{d}\vectsub{#1}{#2}}} +\newcommand{\Dvectsub}[2]{\ensuremath{\Delta\vectsub{#1}{#2}}} +\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}} +\newcommand{\scompsDvectsub}[2]{\ensuremath{\lv + \compDvectsub{#1}{#2}{x}, + \compDvectsub{#1}{#2}{y}, + \compDvectsub{#1}{#2}{z},\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}}} +\newcommand{\Dervectsub}[3]{\ensuremath{\DbyD{\vectsub{#1}{#2}}{#3}}} +\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}}}}} +\newcommand{\compdervectsub}[4]{\ensuremath{\dbyd{\compvectsub{#1}{#2}{#4}}{#3}}} +\newcommand{\compDervectsub}[4]{\ensuremath{\DbyD{\compvectsub{#1}{#2}{#4}}{#3}}} +\newcommand{\scompsdervectsub}[3]{\ensuremath{\lv + \compdervectsub{#1}{#2}{#3}{x}, + \compdervectsub{#1}{#2}{#3}{y}, + \compdervectsub{#1}{#2}{#3}{z}\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}}} +\newcommand{\scompspossub}[1]{\ensuremath{\lv + \comppossub{#1}{x}, + \comppossub{#1}{y}, + \comppossub{#1}{z}\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}} +\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}}} +\newcommand{\scompsderpossub}[2]{\ensuremath{\lv + \compderpossub{#1}{#2}{x}, + \compderpossub{#1}{#2}{y}, + \compderpossub{#1}{#2}{z}\rv}} +\newcommand{\scompsDerpossub}[2]{\ensuremath{\lv + \compDerpossub{#1}{#2}{x}, + \compDerpossub{#1}{#2}{y}, + \compDerpossub{#1}{#2}{z}\rv}} +\newcommand{\relpos}[1]{\ensuremath{\vectsub{r}{#1}}} +\newcommand{\relvel}[1]{\ensuremath{\vectsub{v}{#1}}} +\newcommand{\relmom}[1]{\ensuremath{\vectsub{p}{#1}}} +\newcommand{\relfor}[1]{\ensuremath{\vectsub{F}{#1}}} +\newcommand{\vectdotvect}[2]{\ensuremath{{#1}\bullet{#2}}} +\newcommand{\vectdotsvect}[2]{\ensuremath{\scompsvect{#1}\bullet\scompsvect{#2}}} 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\compDervect{#1}{#2}{y}\comppos{y}+ + \compDervect{#1}{#2}{z}\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}}} +\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}}} +\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}}} +\newcommand{\DervectdoteDpos}[2]{\ensuremath{ + \compDervect{#1}{#2}{x}\compDpos{x}+ + \compDervect{#1}{#2}{y}\compDpos{y}+ + \compDervect{#1}{#2}{z}\compDpos{z}}} +\newcommand{\ezero}{\ensuremath{\msub{\mathbf{e}}{0}}} +\newcommand{\eone}{\ensuremath{\msub{\mathbf{e}}{1}}} +\newcommand{\etwo}{\ensuremath{\msub{\mathbf{e}}{2}}} +\newcommand{\ethree}{\ensuremath{\msub{\mathbf{e}}{3}}} +\newcommand{\efour}{\ensuremath{\msub{\mathbf{e}}{4}}} +\newcommand{\ek}[1]{\ensuremath{\msub{\mathbf{e}}{#1}}} +\newcommand{\e}{\ek} +\newcommand{\uezero}{\ensuremath{\msub{\widehat{\mathbf{e}}}{0}}} +\newcommand{\ueone}{\ensuremath{\msub{\widehat{\mathbf{e}}}{1}}} +\newcommand{\uetwo}{\ensuremath{\msub{\widehat{\mathbf{e}}}{2}}} +\newcommand{\uethree}{\ensuremath{\msub{\widehat{\mathbf{e}}}{3}}} +\newcommand{\uefour}{\ensuremath{\msub{\widehat{\mathbf{e}}}{4}}} +\newcommand{\uek}[1]{\ensuremath{\msub{\widehat{\mathbf{e}}}{#1}}} +\newcommand{\ue}{\uek} +\newcommand{\ezerozero}{\ek{00}} +\newcommand{\eoneone}{\ek{11}} +\newcommand{\eonetwo}{\ek{12}} +\newcommand{\eonethree}{\ek{13}} +\newcommand{\eonefour}{\ek{14}} +\newcommand{\etwoone}{\ek{21}} +\newcommand{\etwotwo}{\ek{22}} +\newcommand{\etwothree}{\ek{23}} +\newcommand{\etwofour}{\ek{24}} +\newcommand{\ethreeone}{\ek{31}} +\newcommand{\ethreetwo}{\ek{32}} +\newcommand{\ethreethree}{\ek{33}} +\newcommand{\ethreefour}{\ek{34}} +\newcommand{\efourone}{\ek{41}} +\newcommand{\efourtwo}{\ek{42}} +\newcommand{\efourthree}{\ek{43}} +\newcommand{\efourfour}{\ek{44}} +\newcommand{\euzero}{\ensuremath{\msup{\mathbf{e}}{0}}} +\newcommand{\euone}{\ensuremath{\msup{\mathbf{e}}{1}}} +\newcommand{\eutwo}{\ensuremath{\msup{\mathbf{e}}{2}}} +\newcommand{\euthree}{\ensuremath{\msup{\mathbf{e}}{3}}} +\newcommand{\eufour}{\ensuremath{\msup{\mathbf{e}}{4}}} +\newcommand{\euk}[1]{\ensuremath{\msup{\mathbf{e}}{#1}}} +\newcommand{\eu}{\euk} +\newcommand{\euzerozero}{\euk{00}} +\newcommand{\euoneone}{\euk{11}} +\newcommand{\euonetwo}{\euk{12}} +\newcommand{\euonethree}{\euk{13}} +\newcommand{\euonefour}{\euk{14}} +\newcommand{\eutwoone}{\euk{21}} +\newcommand{\eutwotwo}{\euk{22}} +\newcommand{\eutwothree}{\euk{23}} +\newcommand{\eutwofour}{\euk{24}} +\newcommand{\euthreeone}{\euk{31}} +\newcommand{\euthreetwo}{\euk{32}} +\newcommand{\euthreethree}{\euk{33}} +\newcommand{\euthreefour}{\euk{34}} +\newcommand{\eufourone}{\euk{41}} +\newcommand{\eufourtwo}{\euk{42}} +\newcommand{\eufourthree}{\euk{43}} +\newcommand{\eufourfour}{\euk{44}} +\newcommand{\gzero}{\ensuremath{\msub{\mathbf{\gamma}}{0}}} +\newcommand{\gone}{\ensuremath{\msub{\mathbf{\gamma}}{1}}} +\newcommand{\gtwo}{\ensuremath{\msub{\mathbf{\gamma}}{2}}} +\newcommand{\gthree}{\ensuremath{\msub{\mathbf{\gamma}}{3}}} +\newcommand{\gfour}{\ensuremath{\msub{\mathbf{\gamma}}{4}}} +\newcommand{\gk}[1]{\ensuremath{\msub{\mathbf{\gamma}}{#1}}} +\newcommand{\g}{\gk} +\newcommand{\gzerozero}{\gk{00}} +\newcommand{\goneone}{\gk{11}} +\newcommand{\gonetwo}{\gk{12}} +\newcommand{\gonethree}{\gk{13}} +\newcommand{\gonefour}{\gk{14}} +\newcommand{\gtwoone}{\gk{21}} +\newcommand{\gtwotwo}{\gk{22}} +\newcommand{\gtwothree}{\gk{23}} +\newcommand{\gtwofour}{\gk{24}} +\newcommand{\gthreeone}{\gk{31}} +\newcommand{\gthreetwo}{\gk{32}} +\newcommand{\gthreethree}{\gk{33}} +\newcommand{\gthreefour}{\gk{34}} +\newcommand{\gfourone}{\gk{41}} +\newcommand{\gfourtwo}{\gk{42}} +\newcommand{\gfourthree}{\gk{43}} +\newcommand{\gfourfour}{\gk{44}} +\newcommand{\guzero}{\ensuremath{\msup{\mathbf{\gamma}}{0}}} +\newcommand{\guone}{\ensuremath{\msup{\mathbf{\gamma}}{1}}} +\newcommand{\gutwo}{\ensuremath{\msup{\mathbf{\gamma}}{2}}} +\newcommand{\guthree}{\ensuremath{\msup{\mathbf{\gamma}}{3}}} +\newcommand{\gufour}{\ensuremath{\msup{\mathbf{\gamma}}{4}}} +\newcommand{\guk}[1]{\ensuremath{\msup{\mathbf{\gamma}}{#1}}} +\newcommand{\gu}{\guk} +\newcommand{\guzerozero}{\guk{00}} +\newcommand{\guoneone}{\guk{11}} +\newcommand{\guonetwo}{\guk{12}} +\newcommand{\guonethree}{\guk{13}} +\newcommand{\guonefour}{\guk{14}} +\newcommand{\gutwoone}{\guk{21}} +\newcommand{\gutwotwo}{\guk{22}} +\newcommand{\gutwothree}{\guk{23}} +\newcommand{\gutwofour}{\guk{24}} +\newcommand{\guthreeone}{\guk{31}} +\newcommand{\guthreetwo}{\guk{32}} +\newcommand{\guthreethree}{\guk{33}} +\newcommand{\guthreefour}{\guk{34}} +\newcommand{\gufourone}{\guk{41}} +\newcommand{\gufourtwo}{\guk{42}} +\newcommand{\gufourthree}{\guk{43}} +\newcommand{\gufourfour}{\guk{44}} +\ExplSyntaxOn +\NewDocumentCommand{\mivector}{ O{,} m o }% + {% + \mi_vector:nn { #1 } { #2 } + \IfValueT{#3}{\;{#3}} + }% +\seq_new:N \l__mi_list_seq +\cs_new_protected:Npn \mi_vector:nn #1 #2 +{% + \ensuremath{% + \seq_set_split:Nnn \l__mi_list_seq { , } { #2 } + \int_compare:nF { \seq_count:N \l__mi_list_seq = 1 } { \left\langle } + \seq_use:Nnnn \l__mi_list_seq { #1 } { #1 } { #1 } + \int_compare:nF { \seq_count:N \l__mi_list_seq = 1 } { \right\rangle } + }% +}% +\ExplSyntaxOff +\ExplSyntaxOn +\seq_new:N \l__vector_arg_seq +\cs_new_protected:Npn \vector_main:nnnn #1 #2 #3 #4 + {% + \seq_set_split:Nnn \l__vector_arg_seq { #3 } { #4 } + \begin{#1matrix} + \seq_use:Nnnn \l__vector_arg_seq { #2 } { #2 } { #2 } + \end{#1matrix} + }% +\NewDocumentCommand{\rowvector}{ O{,} m } + {% + \ensuremath{ + \vector_main:nnnn { p } { \,\, } { #1 } { #2 } + }% + }% +\NewDocumentCommand{\colvector}{ O{,} m } + {% + \ensuremath{ + \vector_main:nnnn { p } { \\ } { #1 } { #2 } + }% + }% +\ExplSyntaxOff +\newcommandx{\scompscvect}[2][1,usedefault]{% + \ifthenelse{\equal{#1}{}}% + {% + \colvector{\msub{#2}{1},\msub{#2}{2},\msub{#2}{3}}% + }% + {% + \colvector{\msub{#2}{0},\msub{#2}{1},\msub{#2}{2},\msub{#2}{3}}% + }% +}% +\newcommandx{\scompsrvect}[2][1,usedefault]{% + \ifthenelse{\equal{#1}{}}% + {% + \rowvector[,]{\msub{#2}{1},\msub{#2}{2},\msub{#2}{3}}% + }% + {% + \rowvector[,]{\msub{#2}{0},\msub{#2}{1},\msub{#2}{2},\msub{#2}{3}}% + }% +}% +\newphysicsconstant{oofpez}{\ensuremath{\frac{1}{\phantom{_o}4\pi\ssub{\epsilon}{o}}}} +{\scin[9]{9}}{\ensuremath{\m\cubed\usk\kg\usk\s^{-4}\usk\A\rpsquared}}[\m\per\farad] +[\newton\usk\m\squared\per\coulomb\squared] +\newphysicsconstant{oofpezcs}{\ensuremath{\frac{1}{\phantom{_o}4\pi\ssub{\epsilon}{o} +c^2\phantom{_o}}}}{\scin{-7}}{\m\usk\kg\usk\s\rpsquared\usk\A\rpsquared}[\tesla\usk\m +\squared][\newton\usk\s\squared\per\coulomb\squared] +\newphysicsconstant{epsz}{\ensuremath{\ssub{\epsilon}{o}}}{\scin[9]{-12}} +{\m\rpcubed\usk\reciprocal\kg\usk\s^{4}\usk\A\squared}[\farad\per\m] +[\coulomb\squared\per\newton\usk\m\squared] +\newphysicsconstant{mzofp}{\ensuremath{\frac{\phantom{_oo}\ssub{\mu}{o}\phantom{_o}} +{4\pi}}}{\scin{-7}}{\m\usk\kg\usk\s\rpsquared\usk\A\rpsquared}[\henry\per\m] +[\tesla\usk\m\per\A] +\newphysicsconstant{muz}{\ensuremath{\ssub{\mu}{o}}}{\scin[4\pi]{-7}} +{\m\usk\kg\usk\s\rpsquared\usk\A\rpsquared}[\henry\per\m][\tesla\usk\m\per\A] +\newphysicsconstant{kboltz}{\ensuremath{\ssub{k}{B}}}{\scin[1.38]{-23}} +{\kg\usk\m\squared\usk\rpsquare\s\usk\reciprocal\K}[\joule\per\K][\joule\per\K] +\newcommand{\kboltznev}{\ensuremath{\scin[8.62]{-5}{\eV\per\K}}} +\newphysicsconstant{stefan}{\ensuremath{\sigma}}{\scin[5.67]{-8}}{\kg\usk\s\rpcubed\usk +\K^{-4}}[\watt\per\m\squared\usk\K^4][\watt\per\m\squared\usk\K^4] +\newphysicsconstant{planck}{\ensuremath{h}}{\scin[6.62]{-34}} +{\m\squared\usk\kg\usk\reciprocal\s}[\joule\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}}{\reciprocal +\mol}[\reciprocal\mol][\reciprocal\mol] +\newphysicsconstant{bigG}{\ensuremath{G}}{\scin[6.67]{-11}} +{\m\cubed\usk\reciprocal\kg\usk\s\rpsquared}[\joule\usk\m\per\kg\squared] +[\newton\usk\m\squared\per\kg\squared] +\newphysicsconstant{littleg}{\ensuremath{g}}{9.80}{\m\usk\s\rpsquared}[\newton\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}{ft\per\nano\s}}} +\newphysicsconstant{Ratom}{\ensuremath{\ssub{r}{atom}}}{\scin{-10}}{\m}[\m][\m] +\newphysicsconstant{Mproton}{\ensuremath{\ssub{m}{proton}}}{\scin[1.673]{-27}}{\kg} +[\kg][\kg] +\newphysicsconstant{Mneutron}{\ensuremath{\ssub{m}{neutron}}}{\scin[1.675]{-27}} +{\kg}[\kg][\kg] +\newphysicsconstant{Mhydrogen}{\ensuremath{\ssub{m}{hydrogen}}}{\scin[1.673]{-27}} +{\kg}[\kg][\kg] +\newphysicsconstant{Melectron}{\ensuremath{\ssub{m}{electron}}}{\scin[9.109]{-31}} +{\kg}[\kg][\kg] +\newphysicsconstant{echarge}{\ensuremath{e}}{\scin[1.602]{-19}}{\A\usk\s}[\coulomb] +[\coulomb] +\newphysicsconstant{Qelectron}{\ensuremath{\ssub{Q}{electron}}}{-\echargevalue} +{\A\usk\s}[\coulomb][\coulomb] +\newphysicsconstant{qelectron}{\ensuremath{\ssub{q}{electron}}}{-\echargevalue} +{\A\usk\s}[\coulomb][\coulomb] +\newphysicsconstant{Qproton}{\ensuremath{\ssub{Q}{proton}}}{+\echargevalue} +{\A\usk\s}[\coulomb][\coulomb] +\newphysicsconstant{qproton}{\ensuremath{\ssub{q}{proton}}}{+\echargevalue} +{\A\usk\s}[\coulomb][\coulomb] +\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}} + {\m\squared\usk\kg\usk\s\rpcubed}[\watt][\joule\per\s] +\newphysicsconstant{TSun}{\ensuremath{\ssub{T}{Sun}}}{5800}{\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}}} +\newcommand{\Lsolar}{\ensuremath{\Lstar[\(\odot\)]}} +\newcommand{\Tstar}[1][\(\star\)]{\ensuremath{\ssub{T}{#1}}} +\newcommand{\Tsolar}{\ensuremath{\Tstar[\(\odot\)]}} +\newcommand{\Rstar}[1][\(\star\)]{\ensuremath{\ssub{R}{#1}}} +\newcommand{\Rsolar}{\ensuremath{\Rstar[\(\odot\)]}} +\newcommand{\Mstar}[1][\(\star\)]{\ensuremath{\ssub{M}{#1}}} +\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}}} +\newcommand{\magstar}[1][\(\star\)]{\ensuremath{\ssub{m}{#1}}} +\newcommand{\Magsolar}{\ensuremath{\Magstar[\(\odot\)]}} 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+\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{\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{ + \xLongleftrightarrow[\text{\tiny{#1}}]{\text{\tiny{#2}}}}} +\newcommand{\momprinciple}{\ensuremath{ + \vectsub{p}{sys,f}=\vectsub{p}{sys,i}+\Fnetsys\Delta t}} +\newcommand{\LHSmomprinciple}{\ensuremath{ + \vectsub{p}{sys,f}}} +\newcommand{\RHSmomprinciple}{\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}+ + \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}} + \quant{-\dirvectsub{r}{12}}}} +\newcommand{\elecinteraction}{\ensuremath{ + \oofpezmathsymbol\frac{\msub{Q}{1}\msub{Q}{2}}{\msup{\magvectsub{r}{12}}{2}} + \dirvectsub{r}{12}}} +\newcommand{\Bfieldofparticle}{\ensuremath{ + \mzofpmathsymbol\frac{Q\magvect{v}}{\msup{\magvect{r}}{2}}\dirvect{v}\times\dirvect{r}}} +\newcommand{\Efieldofparticle}{\ensuremath{ + 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+\newcommand{\DEparticle}{\Changein\Eparticle} +\newcommand{\DEinternal}{\Changein\Einternal} +\newcommand{\DErest}{\Changein\Erest} +\newcommand{\DEchem}{\Changein\Echem} +\newcommand{\DEtherm}{\Changein\Etherm} +\newcommand{\DEvib}{\Changein\Evib} +\newcommand{\DEphoton}{\Changein\Ephoton} +\newcommand{\Usfinal}{\ssub{\left(\onehalf\ks \msup{s}{2}\right)}{f}} +\newcommand{\Usinitial}{\ssub{\left(\onehalf\ks \msup{s}{2}\right)}{i}} +\newcommand{\Ugfinal}{\ssub{\left(-G\frac{\msub{M}{1}\msub{M}{2}} + {\magvectsub{r}{12}}\right)}{f}} +\newcommand{\Uginitial}{\ssub{\left(-G\frac{\msub{M}{1}\msub{M}{2}} + {\magvectsub{r}{12}}\right)}{i}} +\newcommand{\Uefinal}{\ssub{\left(\oofpezmathsymbol\frac{\ssub{Q}{1}\ssub{Q}{2}} + {\magvectsub{r}{12}}\right)}{f}} +\newcommand{\Ueinitial}{\ssub{\left(\oofpezmathsymbol\frac{\ssub{Q}{1}\ssub{Q}{2}} + {\magvectsub{r}{12}}\right)}{i}} +\newcommand{\ks}{\ssub{k}{s}} +\newcommand{\Fnet}{\ensuremath{\vectsub{F}{net}}} 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rightmargin=40pt, linewidth=1, roundcorner=10, + frametitle={INSTRUCTOR NOTE}, + frametitlebackgroundcolor=cyan!60, frametitlerule=true, frametitlerulewidth=1, + backgroundcolor=cyan!25, + linecolor=black, fontcolor=black, shadow=true} +\NewEnviron{miinstructornote}{% + \begin{mdframed}[style=miinstructornotestyle] + \begin{adjactivityanswer}[cyan!25][cyan!25][black] + \BODY + \end{adjactivityanswer} + \end{mdframed} +}% +\mdfdefinestyle{mistudentnotestyle}{% + hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip, + leftmargin=40pt, rightmargin=40pt, linewidth=1, roundcorner=10, + frametitle={STUDENT NOTE}, + frametitlebackgroundcolor=cyan!60, frametitlerule=true, frametitlerulewidth=1, + backgroundcolor=cyan!25, + linecolor=black, fontcolor=black, shadow=true} +\NewEnviron{mistudentnote}{% + \begin{mdframed}[style=mistudentnotestyle] + \begin{adjactivityanswer}[cyan!25][cyan!25][black] + \BODY + \end{adjactivityanswer} + \end{mdframed} +}% +\mdfdefinestyle{miderivationstyle}{% + hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip, + leftmargin=0pt, rightmargin=0pt, linewidth=1, roundcorner=10, + frametitle={DERIVATION}, + frametitlebackgroundcolor=orange!60, frametitlerule=true, frametitlerulewidth=1, + backgroundcolor=orange!25, + linecolor=black, fontcolor=black, shadow=true} +\NewEnviron{miderivation}{% + \begin{mdframed}[style=miderivationstyle] + \setcounter{equation}{0} + \begin{align} + \BODY + \end{align} + \end{mdframed} +}% +\mdfdefinestyle{bwinstructornotestyle}{% + hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip, + leftmargin=40pt, rightmargin=40pt, linewidth=1, roundcorner=10, + frametitle={INSTRUCTOR NOTE}, + frametitlebackgroundcolor=gray!50, frametitlerule=true, frametitlerulewidth=1, + backgroundcolor=gray!20, + linecolor=black, fontcolor=black, shadow=true} +\NewEnviron{bwinstructornote}{% + \begin{mdframed}[style=bwinstructornotestyle] + \begin{adjactivityanswer}[gray!20][gray!20][black] + \BODY + \end{adjactivityanswer} + \end{mdframed} +}% +\mdfdefinestyle{bwstudentnotestyle}{% + hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip, + leftmargin=40pt, rightmargin=40pt, linewidth=1, roundcorner=10, + frametitle={STUDENT NOTE}, + frametitlebackgroundcolor=gray!50, frametitlerule=true, frametitlerulewidth=1, + backgroundcolor=gray!20, + linecolor=black, fontcolor=black, shadow=true} +\NewEnviron{bwstudentnote}{% + \begin{mdframed}[style=bwstudentnotestyle] + \begin{adjactivityanswer}[gray!20][gray!20][black] + \BODY + \end{adjactivityanswer} + \end{mdframed} +}% +\mdfdefinestyle{bwderivationstyle}{% + hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip, + leftmargin=0pt, rightmargin=0pt, linewidth=1, roundcorner=10, + frametitle={DERIVATION}, + frametitlebackgroundcolor=gray!50, frametitlerule=true, frametitlerulewidth=1, + backgroundcolor=gray!20, + linecolor=black, fontcolor=black, shadow=true} +\NewEnviron{bwderivation}{% + \begin{mdframed}[style=bwderivationstyle] + \setcounter{equation}{0} + \begin{align} + \BODY + \end{align} + \end{mdframed} +} +\newcommand{\checkpoint}{% + \vspace{1cm}\begin{center}|--------- CHECKPOINT ---------|\end{center}}% +\newcommand{\image}[2]{% + \begin{figure}[h!] + \begin{center}% + \includegraphics[scale=1]{#1}% + \caption{#2}% + \label{#1}% + \end{center}% + \end{figure}} +\newcommand{\sneakyone}[1]{\ensuremath{\cancelto{1}{\frac{#1}{#1}}}} +\newcommand{\chkphysicsquantity}[1]{% + \cs{#1} +}% +\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,\(#3\)}}}}% +\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{% + \ifthenelse{\equal{#1}{}}% + {#2}% + {\ssub{#2}{#1}}}}% +\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}}}% +\endinput +%% +%% End of file `mandi.sty'. |