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authorKarl Berry <karl@freefriends.org>2014-12-30 22:59:31 +0000
committerKarl Berry <karl@freefriends.org>2014-12-30 22:59:31 +0000
commit290049375b418246b47914c316746543a0a7e11f (patch)
tree28a186c754e91182e5be95f35a2784a1779e83c3 /Master/texmf-dist/tex/latex/mandi
parent52342328d697c341a49231053d155a030eb05b56 (diff)
mandi (30dec14)
git-svn-id: svn://tug.org/texlive/trunk@35931 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/tex/latex/mandi')
-rw-r--r--Master/texmf-dist/tex/latex/mandi/mandi.sty2220
1 files changed, 1149 insertions, 1071 deletions
diff --git a/Master/texmf-dist/tex/latex/mandi/mandi.sty b/Master/texmf-dist/tex/latex/mandi/mandi.sty
index 46db7c1f230..700d2db36c8 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, 2013 by Paul J. Heafner <heafnerj@gmail.com>
+%% Copyright (C) 2014 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
@@ -28,15 +28,17 @@
%% mandi.pdf.
%% ---------------------------------------------------------------------------
%%
-\ProvidesPackage{mandi}[2013/06/14 2.2.0 Macros for physics and astronomy]
+\ProvidesPackage{mandi}[2014/12/29 2.4.0 Macros for physics and astronomy]
\NeedsTeXFormat{LaTeX2e}[1999/12/01]
+
\RequirePackage{amsmath}
\RequirePackage{amssymb}
\RequirePackage{array}
-\RequirePackage{bigints}
\RequirePackage{cancel}
\RequirePackage[dvipsnames]{xcolor}
\RequirePackage{environ}
+\RequirePackage{esint}
+\RequirePackage[g]{esvect}
\RequirePackage{etoolbox}
\RequirePackage{filehook}
\RequirePackage{extarrows}
@@ -53,151 +55,182 @@
\RequirePackage{xspace}
\RequirePackage{ifthen}
\RequirePackage{calligra}
+\RequirePackage{hyperref}
\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}}
+\definecolor{vbgcolor}{rgb}{1,1,1}
+\definecolor{vshadowcolor}{rgb}{0.5,0.5,0.5}
+\lstdefinestyle{vpython}{% % style for VPython code
+ language=Python,% % select language
+ morekeywords={visual,arrow,box,cone,% % VPython specific keywords
+ convex,curve,cylinder,ellipsoid,extrusion,faces,helix,label,points,pyramid,ring,%
+ sphere,text,frame,graphs,vector,pos,axis,radius,color,opacity,material,up,%
+ make_trail,trail_type,trail_object,scene,mag,mag2,norm,dot,cross,proj,comp,%
+ diff_angle,rotate,astuple,radians,shaftwidth,headwidth,headlength,height,width,%
+ size,degrees,interval,retain,__future__,division,print_function,rate},%
+ frame=shadowbox,% % shadowbox around listing
+ rulesepcolor=\color{vshadowcolor},% % shadow color
+ basicstyle=\footnotesize,% % basic font for code listings
+ commentstyle=\bfseries\color{red}, % font for comments
+ keywordstyle=\bfseries\color{blue},% % font for keywords
+ showstringspaces=true,% % show spaces in strings
+ numbers=left,% % where to put line numbers
+ numberstyle=\tiny,% % set to 'none' for no line numbers
+ xleftmargin=20pt,% % extra left margin
+ backgroundcolor=\color{vbgcolor},% % some people find this annoying
+ upquote=true,% % how to typeset quotes
+ breaklines=true}% % break long lines
\newcolumntype{C}[1]{>{\centering}m{#1}}
-\newboolean{@optitalicvectors}
-\newboolean{@optdoubleabsbars}
+\newboolean{@optromanvectors}
+\newboolean{@optboldvectors}
+\newboolean{@optsingleabsbars}
\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}}
+\newboolean{@optapproxconsts}
+\setboolean{@optromanvectors}{false} % this is where you set the default option
+\setboolean{@optboldvectors}{false} % this is where you set the default option
+\setboolean{@optsingleabsbars}{false} % this is where you set the default option
+\setboolean{@optbaseunits}{false} % this is where you set the default option
+\setboolean{@optdrvdunits}{false} % this is where you set the default option
+\setboolean{@optapproxconsts}{false} % this is where you set the default option
+\DeclareOption{romanvectors}{\setboolean{@optromanvectors}{true}}
+\DeclareOption{boldvectors}{\setboolean{@optboldvectors}{true}}
+\DeclareOption{singleabsbars}{\setboolean{@optsingleabsbars}{true}}
\DeclareOption{baseunits}{\setboolean{@optbaseunits}{true}}
\DeclareOption{drvdunits}{\setboolean{@optdrvdunits}{true}}
+\DeclareOption{approxconsts}{\setboolean{@optapproxconsts}{true}}
\ProcessOptions\relax
\@ifpackageloaded{amssymb}{%
\csundef{square}
- \typeout{mandi: Package amssymb detected. Its \protect\square\space has been redefined.}
+ \typeout{mandi: Package amssymb detected. Its \protect\square\space has been
+ redefined.}
}{%
\typeout{mandi: Package amssymb not detected.}
}%
-\newcommand{\per}{\ensuremath{/}}
-\newcommand{\usk}{\ensuremath{\cdot}}
-\newcommand{\unit}[2]{\ensuremath{{#1}\,{#2}}}
-\newcommand{\ampere}{\ensuremath{\mathrm{A}}}
-\newcommand{\arcminute}{\ensuremath{'}}
-\newcommand{\arcsecond}{\ensuremath{''}}
-\newcommand{\atomicmassunit}{\ensuremath{\mathrm{u}}}
-\newcommand{\candela}{\ensuremath{\mathrm{cd}}}
-\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}}}
-\newcommand{\hour}{\ensuremath{\mathrm{h}}}
-\newcommand{\joule}{\ensuremath{\mathrm{J}}}
-\newcommand{\kelvin}{\ensuremath{\mathrm{K}}}
-\newcommand{\kilogram}{\ensuremath{\mathrm{kg}}}
-\newcommand{\metre}{\ensuremath{\mathrm{m}}}
-\newcommand{\minute}{\ensuremath{\mathrm{min}}}
-\newcommand{\mole}{\ensuremath{\mathrm{mol}}}
-\newcommand{\newton}{\ensuremath{\mathrm{N}}}
-\newcommand{\ohm}{\ensuremath{\Omega}}
-\newcommand{\pascal}{\ensuremath{\mathrm{Pa}}}
-\newcommand{\radian}{\ensuremath{\mathrm{rad}}}
-\newcommand{\second}{\ensuremath{\mathrm{s}}}
-\newcommand{\siemens}{\ensuremath{\mathrm{S}}}
-\newcommand{\steradian}{\ensuremath{\mathrm{sr}}}
-\newcommand{\tesla}{\ensuremath{\mathrm{T}}}
-\newcommand{\volt}{\ensuremath{\mathrm{V}}}
-\newcommand{\watt}{\ensuremath{\mathrm{W}}}
-\newcommand{\weber}{\ensuremath{\mathrm{Wb}}}
-\newcommand{\C}{\coulomb}
-\newcommand{\F}{\farad}
-\newcommand{\J}{\joule}
-\newcommand{\N}{\newton}
-\newcommand{\Pa}{\pascal}
-\newcommand{\rad}{\radian}
-\newcommand{\sr}{\steradian}
-\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
-\newcommand*{\reciprocal}[1]{\ensuremath{\mathrm{#1}^{-1}}} % prefix -1
-\newcommand*{\reciprocalsquare}[1]{\ensuremath{\mathrm{#1}^{-2}}} % prefix -2
-\newcommand*{\reciprocalcubic}[1]{\ensuremath{\mathrm{#1}^{-3}}} % prefix -3
-\newcommand*{\reciprocalquartic}[1]{\ensuremath{\mathrm{#1}^{-4}}} % prefix -4
-\newcommand*{\squared}{\ensuremath{^{\mathrm{2}}}} % postfix 2
-\newcommand*{\cubed}{\ensuremath{^{\mathrm{3}}}} % postfix 3
-\newcommand*{\quarted}{\ensuremath{^{\mathrm{4}}}} % postfix 4
-\newcommand*{\reciprocaled}{\ensuremath{^{\mathrm{-1}}}} % postfix -1
-\newcommand*{\reciprocalsquared}{\ensuremath{^{\mathrm{-2}}}} % postfix -2
-\newcommand*{\reciprocalcubed}{\ensuremath{^{\mathrm{-3}}}} % postfix -3
-\newcommand*{\reciprocalquarted}{\ensuremath{^{\mathrm{-4}}}} % postfix -4
-\newcommand\mi@exchangeargs[2]{#2#1}%
-\newcommand\mi@name{}%
+\newcommand*{\mandiversion}{2.4.0}
+\typeout{mandi: You're using mandi version \mandiversion.}
+\newcommand*{\per}{\ensuremath{/}}
+\newcommand*{\usk}{\ensuremath{\cdot}}
+\newcommand*{\unit}[2]{\ensuremath{{#1}\,{#2}}}
+\newcommand*{\ampere}{\ensuremath{\mathrm{A}}}
+\newcommand*{\arcminute}{\ensuremath{'}}
+\newcommand*{\arcsecond}{\ensuremath{''}}
+\newcommand*{\atomicmassunit}{\ensuremath{\mathrm{u}}}
+\newcommand*{\candela}{\ensuremath{\mathrm{cd}}}
+\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}}}
+\newcommand*{\hour}{\ensuremath{\mathrm{h}}}
+\newcommand*{\joule}{\ensuremath{\mathrm{J}}}
+\newcommand*{\kelvin}{\ensuremath{\mathrm{K}}}
+\newcommand*{\kilogram}{\ensuremath{\mathrm{kg}}}
+\newcommand*{\metre}{\ensuremath{\mathrm{m}}}
+\newcommand*{\minute}{\ensuremath{\mathrm{min}}}
+\newcommand*{\mole}{\ensuremath{\mathrm{mol}}}
+\newcommand*{\newton}{\ensuremath{\mathrm{N}}}
+\newcommand*{\ohm}{\ensuremath{\Omega}}
+\newcommand*{\pascal}{\ensuremath{\mathrm{Pa}}}
+\newcommand*{\radian}{\ensuremath{\mathrm{rad}}}
+\newcommand*{\second}{\ensuremath{\mathrm{s}}}
+\newcommand*{\siemens}{\ensuremath{\mathrm{S}}}
+\newcommand*{\steradian}{\ensuremath{\mathrm{sr}}}
+\newcommand*{\tesla}{\ensuremath{\mathrm{T}}}
+\newcommand*{\volt}{\ensuremath{\mathrm{V}}}
+\newcommand*{\watt}{\ensuremath{\mathrm{W}}}
+\newcommand*{\weber}{\ensuremath{\mathrm{Wb}}}
+\newcommand*{\C}{\coulomb}
+\newcommand*{\F}{\farad}
+\newcommand*{\J}{\joule}
+\newcommand*{\N}{\newton}
+\newcommand*{\Pa}{\pascal}
+\newcommand*{\rad}{\radian}
+\newcommand*{\sr}{\steradian}
+\newcommand*{\T}{\tesla}
+\newcommand*{\V}{\volt}
+\newcommand*{\W}{\watt}
+\newcommand*{\Wb}{\weber}
+\newcommand*{\square}[1]{\ensuremath{{#1}^2}} % prefix 2
+\newcommand*{\cubic}[1]{\ensuremath{{#1}^3}} % prefix 3
+\newcommand*{\quartic}[1]{\ensuremath{{#1}^4}} % prefix 4
+\newcommand*{\reciprocal}[1]{\ensuremath{{#1}^{-1}}} % prefix -1
+\newcommand*{\reciprocalsquare}[1]{\ensuremath{{#1}^{-2}}} % prefix -2
+\newcommand*{\reciprocalcubic}[1]{\ensuremath{{#1}^{-3}}} % prefix -3
+\newcommand*{\reciprocalquartic}[1]{\ensuremath{{#1}^{-4}}} % prefix -4
+\newcommand*{\squared}{\ensuremath{^2}} % postfix 2
+\newcommand*{\cubed}{\ensuremath{^3}} % postfix 3
+\newcommand*{\quarted}{\ensuremath{^4}} % postfix 4
+\newcommand*{\reciprocaled}{\ensuremath{^{-1}}} % postfix -1
+\newcommand*{\reciprocalsquared}{\ensuremath{^{-2}}} % postfix -2
+\newcommand*{\reciprocalcubed}{\ensuremath{^{-3}}} % postfix -3
+\newcommand*{\reciprocalquarted}{\ensuremath{^{-4}}} % postfix -4
+\newcommand*\mi@exchangeargs[2]{#2#1}%
+\newcommand*\mi@name{}%
\long\def\mi@name#1#{\romannumeral0\mi@innername{#1}}%
-\newcommand\mi@innername[2]{%
+\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
+ \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]{%
+\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]{%
+\newcommand*\hereusedrvdunit[1]{%
\begingroup\perpusedrvdunit#1\endgroup}%
-\newcommand\hereusetradunit[1]{%
+\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=]{%
+\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=]{%
+\newcommandx*\definephysicsconstant[7][6=,7=]{%
\innerdefinewhatsoeverquantityfork{#5}{#6}{#7}{#1}{#2}{#3}{}{#4}}%
-\newcommand\innerdefinewhatsoeverquantityfork[3]{%
+\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}}}%
+\newcommand*\innerdefinewhatsoeverquantity[8]{%
+ \mi@name#4{#5}#7{\unit{#8}{\selectunit{#3}{#1}{#2}}}%
+ \mi@name#4{#5baseunit}#7{\unit{#8}{#3}}%
+ \mi@name#4{#5drvdunit}#7{\unit{#8}{#1}}%
+ \mi@name#4{#5tradunit}#7{\unit{#8}{#2}}%
+ \mi@name#4{#5onlyunit}{\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.}}
+ \mi@name\newcommand*{#5mathsymbol}{\ensuremath{#6}}}{}}%
+\ifthenelse{\boolean{@optboldvectors}}
+ {\typeout{mandi: You'll get bold vectors.}}
+ {\ifthenelse{\boolean{@optromanvectors}}
+ {\typeout{mandi: You'll get Roman vectors.}}
+ {\typeout{mandi: You'll get italic vectors.}}}
+\ifthenelse{\boolean{@optsingleabsbars}}
{\typeout{mandi: You'll get single absolute value bars.}}
+ {\typeout{mandi: You'll get double absolute value bars.}}
\ifthenelse{\boolean{@optbaseunits}}
{\perpusebaseunit %
\typeout{mandi: You'll get base units.}}
@@ -206,6 +239,12 @@
\typeout{mandi: You'll get derived units.}}
{\perpusetradunit %
\typeout{mandi: You'll get traditional units.}}}
+\ifthenelse{\boolean{@optapproxconsts}}
+ {\typeout{mandi: You'll get approximate constants.}}
+ {\typeout{mandi: You'll get precise constants.}}
+\ifthenelse{\boolean{@optapproxconsts}}
+ {\newcommand*{\mi@p}[2]{#1}} % approximate value
+ {\newcommand*{\mi@p}[2]{#2}} % precise value
\def\resetMathstrut@{%
\setbox\z@\hbox{%
\mathchardef\@tempa\mathcode`\[\relax
@@ -217,23 +256,21 @@
\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}
+\typeout{mandi: Parentheses have been made adjustable in math mode.}
+\newcommand*{\m}{\metre}
+\newcommand*{\kg}{\kilogram}
+\newcommand*{\s}{\second}
+\newcommand*{\A}{\ampere}
+\newcommand*{\K}{\kelvin}
+\newcommand*{\mol}{\mole}
+\newcommand*{\cd}{\candela}
+\newcommand*{\dimdisplacement}{\ensuremath{\mathrm{L}}}
+\newcommand*{\dimmass}{\ensuremath{\mathrm{M}}}
+\newcommand*{\dimduration}{\ensuremath{\mathrm{T}}}
+\newcommand*{\dimcurrent}{\ensuremath{\mathrm{I}}}
+\newcommand*{\dimtemperature}{\ensuremath{\mathrm{\Theta}}}
+\newcommand*{\dimamount}{\ensuremath{\mathrm{N}}}
+\newcommand*{\dimluminous}{\ensuremath{\mathrm{J}}}
\newphysicsquantity{displacement}{\m}[\m][\m]
\newphysicsquantity{mass}{\kg}[\kg][\kg]
\newphysicsquantity{duration}{\s}[\s][\s]
@@ -241,131 +278,156 @@
\newphysicsquantity{temperature}{\K}[\K][\K]
\newphysicsquantity{amount}{\mol}[\mol][\mol]
\newphysicsquantity{luminous}{\cd}[\cd][\cd]
-\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{planeangle}{\m\usk\reciprocal\m}[\rad][\relax]
+\newphysicsquantity{solidangle}{\m\squared\usk\reciprocalsquare\m}[\sr][\relax]
+\newcommand*{\indegrees}[1]{\unit{#1}{\degree}}
+\newcommand*{\inFarenheit}[1]{\unit{#1}{\degree\mathrm{F}}}
+\newcommand*{\inCelsius}[1]{\unit{#1}{\degree\mathrm{C}}}
+\newcommand*{\inarcminutes}[1]{\unit{#1}{\arcminute}}
+\newcommand*{\inarcseconds}[1]{\unit{#1}{\arcsecond}}
+\newcommand*{\ineV}[1]{\unit{#1}{\electronvolt}}
+\newcommand*{\ineVocs}[1]{\unit{#1}{\mathrm{eV}\per c^2}}
+\newcommand*{\ineVoc}[1]{\unit{#1}{\mathrm{eV}\per c}}
+\newcommand*{\inMeV}[1]{\unit{#1}{\mathrm{MeV}}}
+\newcommand*{\inMeVocs}[1]{\unit{#1}{\mathrm{MeV}\per c^2}}
+\newcommand*{\inMeVoc}[1]{\unit{#1}{\mathrm{MeV}\per c}}
+\newcommand*{\inGeV}[1]{\unit{#1}{\mathrm{GeV}}}
+\newcommand*{\inGeVocs}[1]{\unit{#1}{\mathrm{GeV}\per c^2}}
+\newcommand*{\inGeVoc}[1]{\unit{#1}{\mathrm{GeV}\per c}}
+\newcommand*{\inamu}[1]{\unit{#1}{\mathrm{u}}}
+\newcommand*{\ingram}[1]{\unit{#1}{\mathrm{g}}}
+\newcommand*{\ingrampercubiccm}[1]{\unit{#1}{\mathrm{g}\per\cubic\mathrm{cm}}}
+\newcommand*{\inAU}[1]{\unit{#1}{\mathrm{AU}}}
+\newcommand*{\inly}[1]{\unit{#1}{\mathrm{ly}}}
+\newcommand*{\incyr}[1]{\unit{#1}{c\usk\mathrm{year}}}
+\newcommand*{\inpc}[1]{\unit{#1}{\mathrm{pc}}}
+\newcommand*{\insolarL}[1]{\unit{#1}{\Lsolar}}
+\newcommand*{\insolarT}[1]{\unit{#1}{\Tsolar}}
+\newcommand*{\insolarR}[1]{\unit{#1}{\Rsolar}}
+\newcommand*{\insolarM}[1]{\unit{#1}{\Msolar}}
+\newcommand*{\insolarF}[1]{\unit{#1}{\Fsolar}}
+\newcommand*{\insolarf}[1]{\unit{#1}{\fsolar}}
+\newcommand*{\insolarMag}[1]{\unit{#1}{\Magsolar}}
+\newcommand*{\insolarmag}[1]{\unit{#1}{\magsolar}}
+\newcommand*{\insolarD}[1]{\unit{#1}{\Dsolar}}
+\newcommand*{\insolard}[1]{\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{\lorentz}[1]{\ensuremath{#1}}
+\newcommand*{\speed}{\velocity}
+\newphysicsquantity{acceleration}{\m\usk\s\reciprocalsquared}[\N\per\kg]%
+ [\m\per\s\squared]
+\newphysicsquantity{gravitationalfield}{\m\usk\s\reciprocalsquared}[\N\per\kg]%
+ [\N\per\kg]
+\newphysicsquantity{gravitationalpotential}{\square\m\usk\reciprocalsquare\s}%
+ [\J\per\kg][\J\per\kg]
+\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{impulse}{\m\usk\kg\usk\reciprocal\s}[\N\usk\s][\N\usk\s]
\newphysicsquantity{force}{\m\usk\kg\usk\s\reciprocalsquared}[\N][\N]
\newphysicsquantity{springstiffness}{\kg\usk\s\reciprocalsquared}[\N\per\m][\N\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\reciprocalsquared\usk\kg}[\kg\per\m\squared]
-[\kg\per\m\squared]
-\newphysicsquantity{volumemassdensity}{\m\reciprocalcubed\usk\kg}[\kg\per\m\cubed]
-[\kg\per\m\cubed]
-\newphysicsquantity{youngsmodulus}{\reciprocal\m\usk\kg\usk\s\reciprocalsquared}
-[\N\per\m\squared][\Pa]
+\newphysicsquantity{areamassdensity}{\m\reciprocalsquared\usk\kg}[\kg\per\m\squared]%
+ [\kg\per\m\squared]
+\newphysicsquantity{volumemassdensity}{\m\reciprocalcubed\usk\kg}[\kg\per\m\cubed]%
+ [\kg\per\m\cubed]
+\newphysicsquantity{youngsmodulus}{\reciprocal\m\usk\kg\usk\s\reciprocalsquared}%
+ [\N\per\m\squared][\Pa]
+\newphysicsquantity{stress}{\reciprocal\m\usk\kg\usk\s\reciprocalsquared}%
+ [\N\per\m\squared][\Pa]
+\newphysicsquantity{pressure}{\reciprocal\m\usk\kg\usk\s\reciprocalsquared}%
+ [\N\per\m\squared][\Pa]
+\newphysicsquantity{strain}{\relax}[\relax][\relax]
\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{energy}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\N\usk\m][\J]
+\newphysicsquantity{power}{\m\squared\usk\kg\usk\s\reciprocalcubed}[\J\per\s][\W]
+\newphysicsquantity{specificheatcapacity}{\J\per\K\usk\kg}[\J\per\K\usk\kg]%
+ [\J\per\K\usk\kg]
\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{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{entropy}{\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\K}
-[\J\per\K][\J\per\K]
+ [\J\per\K][\J\per\K]
\newphysicsquantity{wavelength}{\m}[\m][\m]
\newphysicsquantity{wavenumber}{\reciprocal\m}[\per\m][\per\m]
\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{electricfield}{\m\usk\kg\usk\s\reciprocalcubed\usk\reciprocal\A}
-[\V\per\m][\N\per\C]
+{\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)] % 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{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)] % 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]
-\newphysicsquantity{areachargedensity}{\reciprocalsquare\m\usk\s\usk\A}
-[\C\per\square\m][\C\per\square\m]
-\newphysicsquantity{volumechargedensity}{\reciprocalcubic\m\usk\s\usk\A}
-[\C\per\cubic\m][\C\per\cubic\m]
-\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)]
+\newphysicsquantity{areachargedensity}{\reciprocalsquare\m\usk\s\usk\A}%
+ [\C\per\square\m][\C\per\square\m]
+\newphysicsquantity{volumechargedensity}{\reciprocalcubic\m\usk\s\usk\A}%
+ [\C\per\cubic\m][\C\per\cubic\m]
+\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)]
\newphysicsquantity{numberdensity}{\reciprocalcubic\m}[\per\cubic\m][\per\cubic\m]
-\newphysicsquantity{polarizability}{\reciprocal\kg\usk\s\quarted\usk\square\A}
-[\C\usk\square\m\per\V][\C\usk\m\per(\N\per\C)]
-\newphysicsquantity{electricpotential}
-{\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocal\A}[\J\per\C][\V]
-\newphysicsquantity{emf}{\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocal\A}
-[\J\per\C][\V]
+\newphysicsquantity{polarizability}{\reciprocal\kg\usk\s\quarted\usk\square\A}%
+ [\C\usk\square\m\per\V][\C\usk\m\per(\N\per\C)]
+\newphysicsquantity{electricpotential}%
+ {\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocal\A}[\J\per\C][\V]
+\newphysicsquantity{emf}{\square\m\usk\kg\usk\reciprocalcubic\s\usk\reciprocal\A}%
+ [\J\per\C][\V]
\newphysicsquantity{dielectricconstant}{}[][]
\newphysicsquantity{indexofrefraction}{}[][]
\newphysicsquantity{relativepermittivity}{}[][]
\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{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]
\newphysicsquantity{magneticdipolemoment}{\square\m\usk\A}[\J\per\T][\A\usk\square\m]
-\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}[\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\square\m)\per(\V\per\m)]
-\newphysicsquantity{resistivity}
-{\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{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}[\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\square\m)\per(\V\per\m)]
+\newphysicsquantity{resistivity}%
+ {\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]
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- {\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}{#3}}{#4}}}
-\newcommand{\compDervectsub}[4]{\ensuremath{\DbyD{\compvectsub{#1}{#2}{#3}}{#4}}}
-\newcommand{\scompsdervectsub}[3]{\ensuremath{\lv
- \compdervectsub{#1}{x}{#2}{#3},
- \compdervectsub{#1}{y}{#2}{#3},
- \compdervectsub{#1}{z}{#2}{#3}\rv}}
-\newcommand{\scompsDervectsub}[3]{\ensuremath{\lv
- \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{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{x}{#1},
- \compdpossub{y}{#1},
- \compdpossub{z}{#1}\rv}}
-\newcommand{\scompsDpossub}[1]{\ensuremath{\lv
- \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{x}{#1}{#2},
- \compderpossub{y}{#1}{#2},
- \compderpossub{z}{#1}{#2}\rv}}
-\newcommand{\scompsDerpossub}[2]{\ensuremath{\lv
- \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}}}
-\newcommand{\relfor}[1]{\ensuremath{\vectsub{F}{#1}}}
-\newcommand{\vectdotvect}[2]{\ensuremath{{#1}\bullet{#2}}}
-\newcommand{\vectdotsvect}[2]{\ensuremath{\scompsvect{#1}\bullet\scompsvect{#2}}}
-\newcommand{\vectdotevect}[2]{\ensuremath{
- \compvect{#1}{x}\compvect{#2}{x}+
- \compvect{#1}{y}\compvect{#2}{y}+
+\ifthenelse{\boolean{@optsingleabsbars}}
+ {\newcommand*{\magdervect}[2]{\ensuremath{\abs{\dervect{#1}{#2}}}}
+ \newcommand*{\magDervect}[2]{\ensuremath{\abs{\Dervect{#1}{#2}}}}}
+ {\newcommand*{\magdervect}[2]{\ensuremath{\magof{\dervect{#1}{#2}}}}
+ \newcommand*{\magDervect}[2]{\ensuremath{\magof{\Dervect{#1}{#2}}}}}
+\newcommand*{\dermagvect}[2]{\ensuremath{\dbyd{\magvect{#1}}{#2}}}
+\newcommand*{\Dermagvect}[2]{\ensuremath{\DbyD{\magvect{#1}}{#2}}}
+\newcommand*{\derdirvect}[2]{\ensuremath{\dbyd{\dirvect{#1}}{#2}}}
+\newcommand*{\derdirection}{\derdirvect}
+\newcommand*{\Derdirvect}[2]{\ensuremath{\DbyD{\dirvect{#1}}{#2}}}
+\newcommand*{\Derdirection}{\Derdirvect}
+\ifthenelse{\boolean{@optboldvectors}}
+ {\newcommand*{\vectsub}[2]{\ensuremath{\boldsymbol{#1}_{\text{\tiny{}#2}}}}}
+ {\ifthenelse{\boolean{@optromanvectors}}
+ {\newcommand*{\vectsub}[2]{\ensuremath{\vv{\mathrm{#1}}_{\text{\tiny{#2}}}}}}
+ {\newcommand*{\vectsub}[2]{\ensuremath{\vv{#1}_{\text{\tiny{#2}}}}}}}
+\ifthenelse{\boolean{@optromanvectors}}
+ {\newcommand*{\compvectsub}[3]{\ensuremath{\ssub{\mathrm{#1}}{#2,\(#3\)}}}}
+ {\newcommand*{\compvectsub}[3]{\ensuremath{\ssub{#1}{#2,\(#3\)}}}}
+\newcommand*{\scompsvectsub}[2]{\ensuremath{\lv%
+ \compvectsub{#1}{#2}{x},%
+ \compvectsub{#1}{#2}{y},%
+ \compvectsub{#1}{#2}{z}\rv}}
+\ifthenelse{\boolean{@optsingleabsbars}}
+ {\newcommand*{\magvectsub}[2]{\ensuremath{\abs{\vectsub{#1}{#2}}}}}
+ {\newcommand*{\magvectsub}[2]{\ensuremath{\magof{\vectsub{#1}{#2}}}}}
+\newcommand*{\magsquaredvectsub}[2]{\ensuremath{\magvectsub{#1}{#2}\squared}}
+\newcommand*{\magnvectsub}[3]{\ensuremath{\magvectsub{#1}{#2}^{#3}}}
+\newcommand*{\magvectsubscomps}[2]{\ensuremath{\sqrt{%
+ \compvectsub{#1}{#2}{x}\squared +%
+ \compvectsub{#1}{#2}{y}\squared +%
+ \compvectsub{#1}{#2}{z}\squared}}}
+\ifthenelse{\boolean{@optromanvectors}}
+ {\newcommand*{\dirvectsub}[2]{\ensuremath{\ssub{\widehat{\mathrm{#1}}}{#2}}}}
+ {\newcommand*{\dirvectsub}[2]{\ensuremath{\ssub{\widehat{#1}}{#2}}}}
+\newcommand*{\directionsub}{\dirvectsub}
+\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{@optsingleabsbars}}
+ {\newcommand*{\magdervectsub}[3]{\ensuremath{\abs{\dervectsub{#1}{#2}{#3}}}}
+ \newcommand*{\magDervectsub}[3]{\ensuremath{\abs{\Dervectsub{#1}{#2}{#3}}}}}
+ {\newcommand*{\magdervectsub}[3]{\ensuremath{\magof{\dervectsub{#1}{#2}{#3}}}}
+ \newcommand*{\magDervectsub}[3]{\ensuremath{\magof{\Dervectsub{#1}{#2}{#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}{x}{#3},%
+ \compdervectsub{#1}{#2}{y}{#3},%
+ \compdervectsub{#1}{#2}{z}{#3}\rv}}
+\newcommand*{\scompsDervectsub}[3]{\ensuremath{\lv%
+ \compDervectsub{#1}{#2}{x}{#3},%
+ \compDervectsub{#1}{#2}{y}{#3},%
+ \compDervectsub{#1}{#2}{z}{#3}\rv}}
+\newcommand*{\vectdotvect}[2]{\ensuremath{{#1}\bullet{#2}}}
+\newcommand*{\vectdotsvect}[2]{\ensuremath{\scompsvect{#1}\bullet\scompsvect{#2}}}
+\newcommand*{\vectdotevect}[2]{\ensuremath{%
+ \compvect{#1}{x}\compvect{#2}{x}+%
+ \compvect{#1}{y}\compvect{#2}{y}+%
\compvect{#1}{z}\compvect{#2}{z}}}
-\newcommand{\vectdotspos}[1]{\ensuremath{\scompsvect{#1}\bullet\scompspos}}
-\newcommand{\vectdotepos}[1]{\ensuremath{
- \compvect{#1}{x}\comppos{x}+
- \compvect{#1}{y}\comppos{y}+
- \compvect{#1}{z}\comppos{z}}}
-\newcommand{\vectdotsdvect}[2]{\ensuremath{\scompsvect{#1}\bullet\scompsdvect{#2}}}
-\newcommand{\vectdotsDvect}[2]{\ensuremath{\scompsvect{#1}\bullet\scompsDvect{#2}}}
-\newcommand{\vectdotedvect}[2]{\ensuremath{
- \compvect{#1}{x}\compdvect{#2}{x}+
- \compvect{#1}{y}\compdvect{#2}{y}+
+\newcommand*{\vectdotsdvect}[2]{\ensuremath{\scompsvect{#1}\bullet\scompsdvect{#2}}}
+\newcommand*{\vectdotsDvect}[2]{\ensuremath{\scompsvect{#1}\bullet\scompsDvect{#2}}}
+\newcommand*{\vectdotedvect}[2]{\ensuremath{%
+ \compvect{#1}{x}\compdvect{#2}{x}+%
+ \compvect{#1}{y}\compdvect{#2}{y}+%
\compvect{#1}{z}\compdvect{#2}{z}}}
-\newcommand{\vectdoteDvect}[2]{\ensuremath{
- \compvect{#1}{x}\compDvect{#2}{x}+
- \compvect{#1}{y}\compDvect{#2}{y}+
+\newcommand*{\vectdoteDvect}[2]{\ensuremath{%
+ \compvect{#1}{x}\compDvect{#2}{x}+%
+ \compvect{#1}{y}\compDvect{#2}{y}+%
\compvect{#1}{z}\compDvect{#2}{z}}}
-\newcommand{\vectdotsdpos}[1]{\ensuremath{\scompsvect{#1}\bullet\scompsdpos}}
-\newcommand{\vectdotsDpos}[1]{\ensuremath{\scompsvect{#1}\bullet\scompsDpos}}
-\newcommand{\vectdotedpos}[1]{\ensuremath{
- \compvect{#1}{x}\compdpos{x}+
- \compvect{#1}{y}\compdpos{y}+
- \compvect{#1}{z}\compdpos{z}}}
-\newcommand{\vectdoteDpos}[1]{\ensuremath{
- \compvect{#1}{x}\compDpos{x}+
- \compvect{#1}{y}\compDpos{y}+
- \compvect{#1}{z}\compDpos{z}}}
-\newcommand{\vectsubdotsvectsub}[4]{\ensuremath{
+\newcommand*{\vectsubdotsvectsub}[4]{\ensuremath{%
\scompsvectsub{#1}{#2}\bullet\scompsvectsub{#3}{#4}}}
-\newcommand{\vectsubdotevectsub}[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{%
+\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{%
\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}{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}{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{
+\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}}}
+\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}}}
+\newcommand*{\vectsubdotsdvect}[3]{\ensuremath{%
\scompsvectsub{#1}{#2}\bullet\scompsdvect{#3}}}
-\newcommand{\vectsubdotsDvect}[3]{\ensuremath{
+\newcommand*{\vectsubdotsDvect}[3]{\ensuremath{%
\scompsvectsub{#1}{#2}\bullet\scompsDvect{#3}}}
-\newcommand{\vectsubdotedvect}[3]{\ensuremath{
- \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}{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}}
-\newcommand{\vectsubdotedpos}[2]{\ensuremath{
- \compvectsub{#1}{x}{#2}\compdpos{x}+
- \compvectsub{#1}{y}{#2}\compdpos{y}+
- \compvectsub{#1}{z}{#2}\compdpos{z}}}
-\newcommand{\vectsubdoteDpos}[2]{\ensuremath{
- \compvectsub{#1}{x}{#2}\compDpos{x}+
- \compvectsub{#1}{y}{#2}\compDpos{y}+
- \compvectsub{#1}{z}{#2}\compDpos{z}}}
-\newcommand{\dervectdotsvect}[3]{\ensuremath{
+\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}}}
+\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}}}
+\newcommand*{\dervectdotsvect}[3]{\ensuremath{%
\scompsdervect{#1}{#2}\bullet\scompsvect{#3}}}
-\newcommand{\Dervectdotsvect}[3]{\ensuremath{
+\newcommand*{\Dervectdotsvect}[3]{\ensuremath{%
\scompsDervect{#1}{#2}\bullet\scompsvect{#3}}}
-\newcommand{\dervectdotevect}[3]{\ensuremath{
- \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}{x}{#2}\compvect{x}{#3}+
- \compDervect{#1}{y}{#2}\compvect{y}{#3}+
- \compDervect{#1}{z}{#2}\compvect{z}{#3}}}
-\newcommand{\vectdotsdervect}[3]{\ensuremath{
+\newcommand*{\dervectdotevect}[3]{\ensuremath{%
+ \compdervect{#1}{x}{#2}\compvect{#3}{x}+%
+ \compdervect{#1}{y}{#2}\compvect{#3}{y}+%
+ \compdervect{#1}{z}{#2}\compvect{#3}{z}}}
+\newcommand*{\Dervectdotevect}[3]{\ensuremath{%
+ \compDervect{#1}{x}{#2}\compvect{#3}{x}+%
+ \compDervect{#1}{y}{#2}\compvect{#3}{y}+%
+ \compDervect{#1}{z}{#2}\compvect{#3}{z}}}
+\newcommand*{\vectdotsdervect}[3]{\ensuremath{%
\scompsvect{#1}\bullet\scompsdervect{#2}{#3}}}
-\newcommand{\vectdotsDervect}[3]{\ensuremath{
+\newcommand*{\vectdotsDervect}[3]{\ensuremath{%
\scompsvect{#1}\bullet\scompsDervect{#2}{#3}}}
-\newcommand{\vectdotedervect}[3]{\ensuremath{
- \compvect{#1}{x}\compdervect{#2}{x}{#3}+
- \compvect{#1}{y}\compdervect{#2}{y}{#3}+
+\newcommand*{\vectdotedervect}[3]{\ensuremath{%
+ \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}{x}{#3}+
- \compvect{#1}{y}\compDervect{#2}{y}{#3}+
+\newcommand*{\vectdoteDervect}[3]{\ensuremath{%
+ \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}{x}{#2}\comppos{x}+
- \compdervect{#1}{y}{#2}\comppos{y}+
- \compdervect{#1}{z}{#2}\comppos{z}}}
-\newcommand{\Dervectdotepos}[2]{\ensuremath{
- \compDervect{#1}{x}{#2}\comppos{x}+
- \compDervect{#1}{y}{#2}\comppos{y}+
- \compDervect{#1}{z}{#2}\comppos{z}}}
-\newcommand{\dervectdotsdvect}[3]{\ensuremath{
+\newcommand*{\dervectdotsdvect}[3]{\ensuremath{%
\scompsdervect{#1}{#2}\bullet\scompsdvect{#3}}}
-\newcommand{\DervectdotsDvect}[3]{\ensuremath{
+\newcommand*{\DervectdotsDvect}[3]{\ensuremath{%
\scompsDervect{#1}{#2}\bullet\scompsDvect{#3}}}
-\newcommand{\dervectdotedvect}[3]{\ensuremath{
- \compdervect{#1}{x}{#2}\compdvect{#3}{x}+
- \compdervect{#1}{y}{#2}\compdvect{#3}{y}+
+\newcommand*{\dervectdotedvect}[3]{\ensuremath{%
+ \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}{x}{#2}\compDvect{#3}{x}+
- \compDervect{#1}{y}{#2}\compDvect{#3}{y}+
+\newcommand*{\DervectdoteDvect}[3]{\ensuremath{%
+ \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}{x}{#2}\compdpos{x}+
- \compdervect{#1}{y}{#2}\compdpos{y}+
- \compdervect{#1}{z}{#2}\compdpos{z}}}
-\newcommand{\DervectdoteDpos}[2]{\ensuremath{
- \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}}}
-\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{\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}}
-\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{\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}}
-\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{\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}}
-\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{\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}}
-\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}}
+\newcommand*{\vectcrossvect}[2]{\ensuremath{{#1}\boldsymbol{\times}{#2}}}
+\newcommand*{\ltriplecross}[3]{\ensuremath{({#1}\boldsymbol{\times}{#2})%
+ \boldsymbol{\times}{#3}}}
+\newcommand*{\rtriplecross}[3]{\ensuremath{{#1}\boldsymbol{\times}%
+ ({#2}\boldsymbol{\times}{#3})}}
+\newcommand*{\ltriplescalar}[3]{\ensuremath{{#1}\boldsymbol{\times}{#2}\bullet{#3}}}
+\newcommand*{\rtriplescalar}[3]{\ensuremath{{#1}\bullet{#2}\boldsymbol{\times}{#3}}}
+\newcommand*{\ezero}{\ensuremath{\msub{\boldsymbol{e}}{0}}}
+\newcommand*{\eone}{\ensuremath{\msub{\boldsymbol{e}}{1}}}
+\newcommand*{\etwo}{\ensuremath{\msub{\boldsymbol{e}}{2}}}
+\newcommand*{\ethree}{\ensuremath{\msub{\boldsymbol{e}}{3}}}
+\newcommand*{\efour}{\ensuremath{\msub{\boldsymbol{e}}{4}}}
+\newcommand*{\ek}[1]{\ensuremath{\msub{\boldsymbol{e}}{#1}}}
+\newcommand*{\e}{\ek}
+\newcommand*{\uezero}{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{0}}}
+\newcommand*{\ueone}{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{1}}}
+\newcommand*{\uetwo}{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{2}}}
+\newcommand*{\uethree}{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{3}}}
+\newcommand*{\uefour}{\ensuremath{\msub{\widehat{\boldsymbol{e}}}{4}}}
+\newcommand*{\uek}[1]{\ensuremath{\msub{\widehat{\boldsymbol{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}}
+\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{\boldsymbol{e}^0}}
+\newcommand*{\euone}{\ensuremath{\boldsymbol{e}^1}}
+\newcommand*{\eutwo}{\ensuremath{\boldsymbol{e}^2}}
+\newcommand*{\euthree}{\ensuremath{\boldsymbol{e}^3}}
+\newcommand*{\eufour}{\ensuremath{\boldsymbol{e}^4}}
+\newcommand*{\euk}[1]{\ensuremath{\boldsymbol{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}}
+\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{\boldsymbol{\gamma}}{0}}}
+\newcommand*{\gone}{\ensuremath{\msub{\boldsymbol{\gamma}}{1}}}
+\newcommand*{\gtwo}{\ensuremath{\msub{\boldsymbol{\gamma}}{2}}}
+\newcommand*{\gthree}{\ensuremath{\msub{\boldsymbol{\gamma}}{3}}}
+\newcommand*{\gfour}{\ensuremath{\msub{\boldsymbol{\gamma}}{4}}}
+\newcommand*{\gk}[1]{\ensuremath{\msub{\boldsymbol{\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}}
+\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{\boldsymbol{\gamma}^0}}
+\newcommand*{\guone}{\ensuremath{\boldsymbol{\gamma}^1}}
+\newcommand*{\gutwo}{\ensuremath{\boldsymbol{\gamma}^2}}
+\newcommand*{\guthree}{\ensuremath{\boldsymbol{\gamma}^3}}
+\newcommand*{\gufour}{\ensuremath{\boldsymbol{\gamma}^4}}
+\newcommand*{\guk}[1]{\ensuremath{\boldsymbol{\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}}
+\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 % Vectors formated as in M\&I, written in LaTeX3
\NewDocumentCommand{\mivector}{ O{,} m o }%
{%
@@ -859,261 +849,246 @@
\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[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}
+\newphysicsconstant{oofpez}{\ensuremath{\frac{1}
+{\phantom{_o}4\pi\epsilon_0}}}{\mi@p{9}{8.9876}\timestento{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\epsilon_0 c^2\phantom{_o}}}}{\tento{-7}}
+{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}
[\T\usk\m\squared][\N\usk\s\squared\per\C\squared]
-\newcommand{\altcoulombconstant}{\oofpezcs}
-\newphysicsconstant{vacuumpermittivity}{\ensuremath{\ssub{\epsilon}{o}}}{\scin[8.8542]{-12}}
+\newcommand*{\altcoulombconstant}{\oofpezcs}
+\newphysicsconstant{vacuumpermittivity}{\ensuremath{\epsilon_0}}
+{\mi@p{9.0}{8.8542}\timestento{-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}
+\newphysicsconstant{mzofp}
+{\ensuremath{\frac{\phantom{_oo}\mu_0\phantom{_o}}{4\pi}}}
+{\tento{-7}}{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}
[\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{boltzmann}{\ensuremath{\ssub{k}{B}}}{\scin[1.3806]{-23}}
+\newcommand*{\biotsavartconstant}{\mzofp}
+\newphysicsconstant{vacuumpermeability}{\ensuremath{\mu_0}}
+{4\pi\timestento{-7}}{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}
+[\henry\per\m][\T\usk\m\per\A]
+\newphysicsconstant{boltzmann}{\ensuremath{k_B}}
+{\mi@p{1.4}{1.3806}\timestento{-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}}
+\newcommand*{\boltzmannconstant}{\boltzmann}
+\newphysicsconstant{boltzmannineV}{\ensuremath{k_B}}
+{\mi@p{8.6}{8.6173}\timestento{-5}}
{\eV\usk\reciprocal\K}[\eV\per\K][\eV\per\K]
-\newphysicsconstant{stefanboltzmann}{\ensuremath{\sigma}}{\scin[5.6704]{-8}}
+\newphysicsconstant{stefanboltzmann}{\ensuremath{\sigma}}
+{\mi@p{5.7}{5.6704}\timestento{-8}}
{\kg\usk\s\reciprocalcubed\usk\K\reciprocalquarted}[\W\per\m\squared\usk\K^4]
[\W\per\m\squared\usk\K\quarted]
-\newcommand{\stefanboltzmannconstant}{\stefanboltzmann}
-\newphysicsconstant{planck}{\ensuremath{h}}{\scin[6.6261]{-34}}
+\newcommand*{\stefanboltzmannconstant}{\stefanboltzmann}
+\newphysicsconstant{planck}{\ensuremath{h}}{\mi@p{6.6}{6.6261}\timestento{-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}}
+\newcommand*{\planckconstant}{\planck}
+\newphysicsconstant{planckineV}{\ensuremath{h}}{\mi@p{4.1}{4.1357}\timestento{-15}}
{\eV\usk\s}[\eV\usk\s][\eV\usk\s]
-\newphysicsconstant{planckbar}{\ensuremath{\hbar}}{\scin[1.0546]{-34}}
+\newphysicsconstant{planckbar}{\ensuremath{\hslash}}{\mi@p{1.1}{1.0546}\timestento{-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}}
+\newcommand*{\reducedplanckconstant}{\planckbar}
+\newphysicsconstant{planckbarineV}{\ensuremath{\hslash}}
+{\mi@p{6.6}{6.5821}\timestento{-16}}{\eV\usk\s}[\eV\usk\s][\eV\usk\s]
+\newphysicsconstant{planckc}{\ensuremath{hc}}{\mi@p{2.0}{1.9864}\timestento{-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]
-\newcommand{\avogadroconstant}{\avogadro}
-\newphysicsconstant{universalgrav}{\ensuremath{G}}{\scin[6.6738]{-11}}
+\newcommand*{\planckconstanttimesc}{\planckc}
+\newphysicsconstant{planckcineV}{\ensuremath{hc}}
+{\mi@p{2.0}{1.9864}\timestento{-25}}{\eV\usk\text{n}\m}[\eV\usk\text{n}\m]
+[\eV\usk\text{n}\m]
+\newphysicsconstant{rydberg}{\ensuremath{\msub{R}{\infty}}}
+{\mi@p{1.1}{1.0974}\timestento{7}}{\reciprocal\m}[\reciprocal\m][\reciprocal\m]
+\newcommand*{\rydbergconstant}{\rydberg}
+\newphysicsconstant{bohrradius}{\ensuremath{a_0}}{\mi@p{5.3}{5.2918}\timestento{-11}}
+{\m}[\m][\m]
+\newphysicsconstant{finestructure}{\ensuremath{\alpha}}
+{\mi@p{\frac{1}{137}}{7.2974\timestento{-3}}}{\relax}
+\newcommand*{\finestructureconstant}{\finestructure}
+\newphysicsconstant{avogadro}{\ensuremath{N_A}}
+{\mi@p{6.0}{6.0221}\timestento{23}}{\reciprocal\mol}[\reciprocal\mol][\reciprocal\mol]
+\newcommand*{\avogadroconstant}{\avogadro}
+\newphysicsconstant{universalgrav}{\ensuremath{G}}{\mi@p{6.7}{6.6738}\timestento{-11}}
{\m\cubed\usk\reciprocal\kg\usk\s\reciprocalsquared}[\J\usk\m\per\kg\squared]
[\N\usk\m\squared\per\kg\squared]
-\newcommand{\universalgravitationalconstant}{\universalgrav}
-\newphysicsconstant{surfacegravfield}{\ensuremath{g}}{9.80}{\m\usk\s\reciprocalsquared}
-[\N\per\kg][\m\per\s\squared]
-\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]
-\newcommand{\radiusofatom}{\Ratom}
-\newphysicsconstant{Mproton}{\ensuremath{\ssub{m}{proton}}}{\scin[1.6726]{-27}}
-{\kg}[\kg][\kg]
-\newcommand{\massofproton}{\Mproton}
-\newphysicsconstant{Mneutron}{\ensuremath{\ssub{m}{neutron}}}{\scin[1.6749]{-27}}
-{\kg}[\kg][\kg]
-\newcommand{\massofneutron}{\Mneutron}
-\newphysicsconstant{Mhydrogen}{\ensuremath{\ssub{m}{hydrogen}}}{\scin[1.6737]{-27}}
-{\kg}[\kg][\kg]
-\newcommand{\massofhydrogen}{\Mhydrogen}
-\newphysicsconstant{Melectron}{\ensuremath{\ssub{m}{electron}}}{\scin[9.1094]{-31}}
-{\kg}[\kg][\kg]
-\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}
+\newcommand*{\universalgravitationalconstant}{\universalgrav}
+\newphysicsconstant{surfacegravfield}{\ensuremath{g}}{\mi@p{9.8}{9.80}}
+{\m\usk\s\reciprocalsquared}[\N\per\kg][\N\per\kg]
+\newcommand*{\earthssurfacegravitationalfield}{\surfacegravfield}
+\newphysicsconstant{clight}{\ensuremath{c}}
+{\mi@p{3}{2.9979}\timestento{8}}{\m\usk\reciprocal\s}[\m\per\s][\m\per\s]
+\newcommand*{\photonconstant}{\clight}
+\newphysicsconstant{clightinfeet}{\ensuremath{c}}{\mi@p{1}{0.9836}}
+{\text{ft}\usk\reciprocal{\text{n}\s}}[\text{ft}\per\text{n}\s]
+[\text{ft}\per\mathrm{n}\s]
+\newphysicsconstant{Ratom}{\ensuremath{r_{\text{atom}}}}{\tento{-10}}{\m}[\m][\m]
+\newphysicsconstant{Mproton}{\ensuremath{m_p}}
+{\mi@p{1.7}{1.6726}\timestento{-27}}{\kg}[\kg][\kg]
+\newphysicsconstant{Mneutron}{\ensuremath{m_n}}
+{\mi@p{1.7}{1.6749}\timestento{-27}}{\kg}[\kg][\kg]
+\newphysicsconstant{Mhydrogen}{\ensuremath{m_H}}
+{\mi@p{1.7}{1.6737}\timestento{-27}}{\kg}[\kg][\kg]
+\newphysicsconstant{Melectron}{\ensuremath{m_e}}
+{\mi@p{9.1}{9.1094}\timestento{-31}}{\kg}[\kg][\kg]
+\newphysicsconstant{echarge}{\ensuremath{e}}
+{\mi@p{1.6}{1.6022}\timestento{-19}}{\A\usk\s}[\C][\C]
+\newcommand*{\elementarycharge}{\echarge}
+\newphysicsconstant{Qelectron}{\ensuremath{Q_e}}{-\echargevalue}
{\A\usk\s}[\C][\C]
-\newphysicsconstant{qelectron}{\ensuremath{\ssub{q}{electron}}}{-\echargevalue}
+\newphysicsconstant{qelectron}{\ensuremath{q_e}}{-\echargevalue}
{\A\usk\s}[\C][\C]
-\newcommand{\chargeofelectron}{\Qelectron}
-\newphysicsconstant{Qproton}{\ensuremath{\ssub{Q}{proton}}}{+\echargevalue}
+\newphysicsconstant{Qproton}{\ensuremath{Q_p}}{+\echargevalue}
{\A\usk\s}[\C][\C]
-\newphysicsconstant{qproton}{\ensuremath{\ssub{q}{proton}}}{+\echargevalue}
+\newphysicsconstant{qproton}{\ensuremath{q_p}}{+\echargevalue}
{\A\usk\s}[\C][\C]
-\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}}}{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}}}
-\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{\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[\(\odot\)]}}
-\newcommand{\magsolar}{\ensuremath{\magstar[\(\odot\)]}}
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- \typeout{mandi: Package physymb detected. Its commands will be used.}
-}{%
- \newcommand{\evalat}[2]{\ensuremath{\Bigg.{#1}\Bigg\rvert_{#2}}}
-}%
-\newcommand{\evaluatedat}[1]{\ensuremath{\Bigg.\Bigg\rvert_{#1}}}
-\newcommandx{\integral}[4][1,2,usedefault]{\ensuremath{
+\newphysicsconstant{MEarth}{\ensuremath{M_{\text{Earth}}}}
+{\mi@p{6.0}{5.9736}\timestento{24}}{\kg}[\kg][\kg]
+\newphysicsconstant{MMoon}{\ensuremath{M_{\text{Moon}}}}
+{\mi@p{7.3}{7.3459}\timestento{22}}{\kg}[\kg][\kg]
+\newphysicsconstant{MSun}{\ensuremath{M_{\text{Sun}}}}
+{\mi@p{2.0}{1.9891}\timestento{30}}
+{\kg}[\kg][\kg]
+\newphysicsconstant{REarth}{\ensuremath{R_{\text{Earth}}}}
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+[\m][\m]
+\newphysicsconstant{SEdist}{\magvectsub{r}{SE}}{\mi@p{1.5}{1.4960}\timestento{11}}{\m}
+[\m][\m]
+\newcommand*{\EarthSundistance}{\ESdist}
+\newcommand*{\SunEarthdistance}{\SEdist}
+\newphysicsconstant{EMdist}{\magvectsub{r}{EM}}
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+\newphysicsconstant{MEdist}{\magvectsub{r}{ME}}
+{\mi@p{3.8}{3.8440}\timestento{8}}{\m}[\m][\m]
+\newcommand*{\EarthMoondistance}{\ESdist}
+\newcommand*{\MoonEarthdistance}{\SEdist}
+\newphysicsconstant{LSun}{\ensuremath{L_{\text{Sun}}}}
+{\mi@p{3.8}{3.8460}\timestento{26}}{\m\squared\usk\kg\usk\s\reciprocalcubed}[\W]
+[\J\per\s]
+\newphysicsconstant{TSun}{\ensuremath{T_{\text{Sun}}}}{\mi@p{5800}{5778}}{\K}[\K][\K]
+\newphysicsconstant{MagSun}{\ensuremath{M_{\text{Sun}}}}{+4.83}{}[][]
+\newphysicsconstant{magSun}{\ensuremath{m_{\text{Sun}}}}{-26.74}{}[][]
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+\newcommand*{\Rsolar}{\ensuremath{\Rstar[\(\odot\)]}\xspace}
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+\newcommand*{\fsolar}{\ensuremath{\fstar[\(\odot\)]}\xspace}
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+\newcommand*{\magstar}[1][\(\star\)]{\ensuremath{m_{\text{#1}}}\xspace}
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+\newcommand*{\magsolar}{\ensuremath{\magstar[\(\odot\)]}\xspace}
+\newcommand*{\Dstar}[1][\(\star\)]{\ensuremath{D_{\text{#1}}}\xspace}
+\newcommand*{\dstar}[1][\(\star\)]{\ensuremath{d_{\text{#1}}}\xspace}
+\newcommand*{\Dsolar}{\ensuremath{\Dstar[\(\odot\)]}\xspace}
+\newcommand*{\dsolar}{\ensuremath{\dstar[\(\odot\)]}\xspace}
+\newcommand*{\onehalf}{\ensuremath{\frac{1}{2}}\xspace}
+\newcommand*{\onethird}{\ensuremath{\frac{1}{3}}\xspace}
+\newcommand*{\onefourth}{\ensuremath{\frac{1}{4}}\xspace}
+\newcommand*{\onefifth}{\ensuremath{\frac{1}{5}}\xspace}
+\newcommand*{\onesixth}{\ensuremath{\frac{1}{6}}\xspace}
+\newcommand*{\oneseventh}{\ensuremath{\frac{1}{7}}\xspace}
+\newcommand*{\oneeighth}{\ensuremath{\frac{1}{8}}\xspace}
+\newcommand*{\oneninth}{\ensuremath{\frac{1}{9}}\xspace}
+\newcommand*{\onetenth}{\ensuremath{\frac{1}{10}}\xspace}
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+\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*{\sumoverall}[1]{\ensuremath{\displaystyle\sum_{\substack{\text{\tiny{all }}
+ \text{\tiny{{#1}}}}}}}
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{#3}\dx{#4}}
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- \bigoint\nolimits_{\mskip -25.00mu\displaystyle\mathbf {#1}}\;\;
- \vectdotvect{\vect{#2}}{\dirvect{t}}\dx{\ell}}}
+\newcommand*{\opensurfaceintegral}[2]{\ensuremath{%
+ \iint\nolimits_{#1}\vectdotvect{#2}{\dirvect{n}}\dx{A}}}
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+ \varoiint\nolimits_{#1}\vectdotvect{#2}{\dirvect{n}}\dx{A}}}
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+ \int\nolimits_{#1}\vectdotvect{#2}{\dirvect{t}}\dx{\ell}}}
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+ \oint\nolimits_{#1}\vectdotvect{#2}{\dirvect{t}}\dx{\ell}}}
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+\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}
-\newcommand{\seriesexpx}{\ensuremath{%
+\newcommand*{\seriesexpx}{\ensuremath{%
e^x \approx 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \ldots}\xspace}
-\newcommand{\seriessinx}{\ensuremath{%
+\newcommand*{\seriessinx}{\ensuremath{%
\sin x \approx x - \frac{x^3}{3!} + \frac{x^5}{5!} - \ldots}\xspace}
-\newcommand{\seriescosx}{\ensuremath{%
+\newcommand*{\seriescosx}{\ensuremath{%
\cos x \approx 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \ldots}\xspace}
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+\newcommand*{\seriestanx}{\ensuremath{%
\tan x \approx x + \frac{x^3}{3} + \frac{2x^5}{15} + \ldots}\xspace}
-\newcommand{\seriesatox}{\ensuremath{%
+\newcommand*{\seriesatox}{\ensuremath{%
a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ldots}
\xspace}
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-\xspace}
-\newcommand{\binomialseries}{\ensuremath{%
+\newcommand*{\serieslnoneplusx}{\ensuremath{%
+\ln(1 \pm x) \approx \pm\; x - \frac{x^2}{2} \pm \frac{x^3}{3} - \frac{x^4}{4} \pm
+\ldots}\xspace}
+\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.}
-}{%
- \newcommand{\gradient}{\ensuremath{\nabla}}
- \newcommand{\divergence}{\ensuremath{\nabla\bullet}}
- \newcommand{\curl}{\ensuremath{\nabla\times}}
- \newcommand{\laplacian}{\ensuremath{\msup{\nabla}{2}}}
- \newcommand{\dalembertian}{\ensuremath{\Box}}
-}%
-\newcommand{\diracdelta}[1]{\ensuremath{\boldsymbol{\delta}\quant{#1}}}
-\@ifpackageloaded{physymb}{%
- \typeout{mandi: Package physymb detected. Its commands will be used.}
-}{%
+\newcommand*{\gradient}{\ensuremath{\boldsymbol{\nabla}}}
+\newcommand*{\divergence}{\ensuremath{\boldsymbol{\nabla}\bullet}}
+\newcommand*{\curl}{\ensuremath{\boldsymbol{\nabla\times}}}
+\newcommand*{\laplacian}{\ensuremath{\boldsymbol{\nabla}^2}}
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+\newcommand*{\orderof}[1]{\ensuremath{\mathcal{O}(#1)}}
\DeclareMathOperator{\asin}{\sin^{-1}}
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@@ -1129,179 +1104,311 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld
\DeclareMathOperator{\acsch}{\csch^{-1}}
\DeclareMathOperator{\acoth}{\coth^{-1}}
\DeclareMathOperator{\sgn}{sgn}
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+ {\ifthenelse{\boolean{@optromanvectors}}
+ {\newcommand*{\cB}{\ensuremath{\textsf{c}\mskip -3.00mu\mathrm{B}}}}
+ {\newcommand*{\cB}{\ensuremath{c\mskip -3.00mu B}}}}
+\newcommand*{\newpi}{\ensuremath{\pi\mskip -7.8mu\pi}}
+\newcommand*{\scripty}[1]{\ensuremath{\mathcalligra{#1}}}
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- \typeout{mandi: Package physymb detected. Its commands will be used.}
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+ \typeout{mandi: Package commath detected. Its \protect\abs\space command will
+ be used.}
}{%
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+\newcommand*{\yxplane}{\ensuremath{yx\text{-plane}}\xspace}
+\newcommand*{\zyplane}{\ensuremath{zy\text{-plane}}\xspace}
+\newcommand*{\xzplane}{\ensuremath{xz\text{-plane}}\xspace}
+\newcommand*{\plane}{\ensuremath{\text{-plane}}\xspace}
+\newcommand*{\cuberoot}[1]{\ensuremath{\sqrt[3]{#1}}}
+\newcommand*{\fourthroot}[1]{\ensuremath{\sqrt[4]{#1}}}
+\newcommand*{\fifthroot}[1]{\ensuremath{\sqrt[5]{#1}}}
+\newcommand*{\fsqrt}[1]{\ensuremath{{#1}^\onehalf}}
+\newcommand*{\fcuberoot}[1]{\ensuremath{{#1}^\onethird}}
+\newcommand*{\ffourthroot}[1]{\ensuremath{{#1}^\onefourth}}
+\newcommand*{\ffifthroot}[1]{\ensuremath{{#1}^\onefifth}}
+\newcommand*{\relgamma}[1]{\ensuremath{%
+ \frac{1}{\sqrt{1-(\frac{#1}{c})\squared}}}}
+\newcommand*{\frelgamma}[1]{\ensuremath{%
+ (1-\frac{{#1}\squared}{c\squared})^{-\onehalf}}}
+\newcommand*{\oosqrtomxs}[1]{\ensuremath{\frac{1}{\sqrt{1-{#1}\squared}}}}
+\newcommand*{\oosqrtomx}[1]{\ensuremath{\frac{1}{\sqrt{1-{#1}}}}}
+\newcommand*{\ooomx}[1]{\ensuremath{\frac{1}{1-{#1}}}}
+\newcommand*{\ooopx}[1]{\ensuremath{\frac{1}{1+{#1}}}}
+\newcommand*{\isequals}{\wordoperator{?}{=}\xspace}
+\newcommand*{\wordoperator}[2]{\ensuremath{%
\mathrel{\vcenter{\offinterlineskip
\halign{\hfil\tiny\upshape##\hfil\cr\noalign{\vskip-.5ex}
{#1}\cr\noalign{\vskip.5ex}{#2}\cr}}}}}
-\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}
-\newcommand{\pwordoperator}[2]{\ensuremath{\left(%
- \mathrel{\vcenter{\offinterlineskip
- \halign{\hfil\tiny\upshape##\hfil\cr\noalign{\vskip-.5ex}
+\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}
+\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)}}%
-\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}
-\newcommand{\defines}{\ensuremath{\stackrel{\text{\tiny{def}}}{=}}\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*{\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}
+\newcommand*{\defines}{\ensuremath{\stackrel{\text{\tiny{def}}}{=}}\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{%
\xLongleftrightarrow[\text{\tiny{#1}}]{\text{\tiny{#2}}}}}
-\newcommand{\momentumprinciple}{\ensuremath{
- \vectsub{p}{sys,f}=\vectsub{p}{sys,i}+\Fnetsys\Delta t}}
-\newcommand{\LHSmomentumprinciple}{\ensuremath{%
- \vectsub{p}{sys,f}}}
-\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{\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{\gravitationalinteraction}{\ensuremath{%
- \universalgravmathsymbol\frac{\msub{M}{1}\msub{M}{2}}{\msup{\magvectsub{r}{12}}{2}}
- \quant{-\dirvectsub{r}{12}}}}
-\newcommand{\electricinteraction}{\ensuremath{%
- \oofpezmathsymbol\frac{\msub{Q}{1}\msub{Q}{2}}{\msup{\magvectsub{r}{12}}{2}}
+\newcommand*{\momentumprinciple}{\ensuremath{%
+ \vectsub{p}{sys,final}=\vectsub{p}{sys,initial}+\Fnetsys\Delta t}}
+\newcommand*{\LHSmomentumprinciple}{\ensuremath{\vectsub{p}{sys,final}}}
+\newcommand*{\RHSmomentumprinciple}{\ensuremath{\vectsub{p}{sys,initial}+\Fnetsys
+ \Delta t}}
+\newcommand*{\momentumprinciplediff}{\ensuremath{\Dvectsub{p}{sys}=\Fnetsys\Delta t}}
+\newcommand*{\energyprinciple}{\ensuremath{\ssub{E}{sys,final}=\ssub{E}{sys,initial}+W
+ +Q}}
+\newcommand*{\LHSenergyprinciple}{\ensuremath{\ssub{E}{sys,final}}}
+\newcommand*{\RHSenergyprinciple}{\ensuremath{\ssub{E}{sys,initial}+W+Q}}
+\newcommand*{\energyprinciplediff}{\ensuremath{\Delta\ssub{E}{sys}=W+Q}}
+\newcommand*{\angularmomentumprinciple}{\ensuremath{\vectsub{L}{\(A\),sys,final}=
+ \vectsub{L}{\(A\),sys,initial}+\Tsub{net}\Delta t}}
+\newcommand*{\LHSangularmomentumprinciple}{\ensuremath{\vectsub{L}{\(A\),sys,final}}}
+\newcommand*{\RHSangularmomentumprinciple}{\ensuremath{\vectsub{L}{\(A\),sys,initial}+
+ \Tsub{net}\Delta t}}
+\newcommand*{\angularmomentumprinciplediff}{\ensuremath{\Dvectsub{L}{\(A\),sys}=
+ \Tsub{net}\Delta t}}
+\newcommand*{\gravitationalinteraction}{\ensuremath{%
+ \universalgravmathsymbol\frac{\msub{M}{1}\msub{M}{2}}{\magvectsub{r}{12}\squared}
+ (-\dirvectsub{r}{12})}}
+\newcommand*{\electricinteraction}{\ensuremath{%
+ \oofpezmathsymbol\frac{\msub{Q}{1}\msub{Q}{2}}{\magvectsub{r}{12}\squared}
\dirvectsub{r}{12}}}
-\newcommand{\Bfieldofparticle}{\ensuremath{%
- \mzofpmathsymbol\frac{Q\magvect{v}}{\msup{\magvect{r}}{2}}\dirvect{v}\times\dirvect{r}}}
-\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}}
-\newcommandx{\Ug}[1][1]{\ssub{\ssub{U}{g}}{#1}}
-\newcommandx{\Ue}[1][1]{\ssub{\ssub{U}{e}}{#1}}
-\newcommandx{\Ktrans}[1][1]{\ssub{\ssub{K}{trans}}{#1}}
-\newcommandx{\Krot}[1][1]{\ssub{\ssub{K}{rot}}{#1}}
-\newcommandx{\Eparticle}[1][1]{\ssub{\ssub{E}{particle}}{#1}}
-\newcommandx{\Einternal}[1][1]{\ssub{\ssub{E}{internal}}{#1}}
-\newcommandx{\Erest}[1][1]{\ssub{\ssub{E}{rest}}{#1}}
-\newcommandx{\Echem}[1][1]{\ssub{\ssub{E}{chem}}{#1}}
-\newcommandx{\Etherm}[1][1]{\ssub{\ssub{E}{therm}}{#1}}
-\newcommandx{\Evib}[1][1]{\ssub{\ssub{E}{vib}}{#1}}
-\newcommandx{\Ephoton}[1][1]{\ssub{\ssub{E}{photon}}{#1}}
-\newcommand{\DEsys}{\Changein\Esys}
-\newcommand{\DUs}{\Changein\Us}
-\newcommand{\DUg}{\Changein\Ug}
-\newcommand{\DUe}{\Changein\Ue}
-\newcommand{\DKtrans}{\Changein\Ktrans}
-\newcommand{\DKrot}{\Changein\Krot}
-\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}}}
-\newcommand{\Fnetext}{\ensuremath{\vectsub{F}{net,ext}}}
-\newcommand{\Fnetsys}{\ensuremath{\vectsub{F}{net,sys}}}
-\newcommand{\Fsub}[1]{\ensuremath{\vectsub{F}{#1}}}
-\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}}}
-\newcommand{\vpythonline}{\lstinline[language=Python,numbers=left,numberstyle=\tiny,%
- upquote=true,breaklines]}
-\lstnewenvironment{vpythonblock}{\lstvpython}{}
-\newcommand{\vpythonfile}{\lstinputlisting[language=Python,numbers=left,%
- numberstyle=\tiny,upquote=true,breaklines]}
+\newcommand*{\springinteraction}{\ensuremath{\ks\magvect{s}(-\dirvect{s})}}
+\newcommand*{\Bfieldofparticle}{\ensuremath{%
+ \mzofpmathsymbol\frac{Q\magvect{v}}{\magvect{r}\squared}\dirvect{v}\times\dirvect{r}}}
+\newcommand*{\Efieldofparticle}{\ensuremath{%
+ \oofpezmathsymbol\frac{Q}{\magvect{r}\squared}\dirvect{r}}}
+\newcommandx{\Esys}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{sys}}{\ssub{E}{sys,#1}}}
+\newcommandx{\Us}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{U}{\(s\)}}{\ssub{U}{\(s\),#1}}}
+\newcommandx{\Ug}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{U}{\(g\)}}{\ssub{U}{\(g\),#1}}}
+\newcommandx{\Ue}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{U}{\(e\)}}{\ssub{U}{\(e\),#1}}}
+\newcommandx{\Ktrans}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{K}{trans}}
+ {\ssub{K}{trans,#1}}}
+\newcommandx{\Krot}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{K}{rot}}{\ssub{K}{rot,#1}}}
+\newcommandx{\Kvib}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{K}{vib}}{\ssub{K}{vib,#1}}}
+\newcommandx{\Eparticle}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{particle}}
+ {\ssub{E}{particle,#1}}}
+\newcommandx{\Einternal}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{internal}}
+ {\ssub{E}{internal,#1}}}
+\newcommandx{\Erest}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{rest}}{\ssub{E}{rest,#1}}}
+\newcommandx{\Echem}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{chem}}{\ssub{E}{chem,#1}}}
+\newcommandx{\Etherm}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{therm}}
+ {\ssub{E}{therm,#1}}}
+\newcommandx{\Evib}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{vib}}{\ssub{E}{vib,#1}}}
+\newcommandx{\Ephoton}[1][1]{\ifthenelse{\equal{#1}{}}{\ssub{E}{photon}}
+ {\ssub{E}{photon,#1}}}
+\newcommand*{\DEsys}{\Changein\Esys}
+\newcommand*{\DUs}{\Changein\Us}
+\newcommand*{\DUg}{\Changein\Ug}
+\newcommand*{\DUe}{\Changein\Ue}
+\newcommand*{\DKtrans}{\Changein\Ktrans}
+\newcommand*{\DKrot}{\Changein\Krot}
+\newcommand*{\DKvib}{\Changein\Kvib}
+\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*{\springpotentialenergy}{\onehalf\ks\magsquaredvect{s}}
+\newcommand*{\finalspringpotentialenergy}
+ {\ssub{\left(\springpotentialenergy\right)}{\!\!final}}
+\newcommand*{\initialspringpotentialenergy}
+ {\ssub{\left(\springpotentialenergy\right)}{\!\!initial}}
+\newcommand*{\gravitationalpotentialenergy}{\ensuremath{%
+ -G\frac{\msub{M}{1}\msub{M}{2}}{\magvectsub{r}{12}}}}
+\newcommand*{\finalgravitationalpotentialenergy}
+ {\ssub{\left(\gravitationalpotentialenergy\right)}{\!\!final}}
+\newcommand*{\initialgravitationalpotentialenergy}
+ {\ssub{\left(\gravitationalpotentialenergy\right)}{\!\!initial}}
+\newcommand*{\electricpotentialenergy}{\ensuremath{%
+ \oofpezmathsymbol\frac{\ssub{Q}{1}\ssub{Q}{2}}{\magvectsub{r}{12}}}}
+\newcommand*{\finalelectricpotentialenergy}
+ {\ssub{\left(\electricpotentialenergy\right)}{\!\!final}}
+\newcommand*{\initialelectricpotentialenergy}
+ {\ssub{\left(\electricpotentialenergy\right)}{\!\!initial}}
+\newcommand*{\ks}{\msub{k}{s}}
+\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}}}
+\newcommand*{\Ltotal}{\ensuremath{\vectsub{L}{\(A\),total}}}
+\newcommand*{\Lsys}{\ensuremath{\vectsub{L}{\(A\),sys}}}
+\newcommand*{\Lsub}[1]{\ensuremath{\vectsub{L}{\(A\),{#1}}}}
+\newcommand*{\Tnet}{\ensuremath{\vectsub{\tau}{\(A\),net}}}
+\newcommand*{\Tnetext}{\ensuremath{\vectsub{\tau}{\(A\),net,ext}}}
+\newcommand*{\Tnetsys}{\ensuremath{\vectsub{\tau}{\(A\),net,sys}}}
+\newcommand*{\Tsub}[1]{\ensuremath{\vectsub{\tau}{\(A\),#1}}}
+\newcommand*{\LHSmaxwelliint}[1][\partial V]{\ensuremath{%
+ \closedsurfaceintegral{#1}{\vect{E}}}}
+\newcommand*{\RHSmaxwelliint}{\ensuremath{\frac{\ssub{Q}{\(e\),net}}%
+ {\vacuumpermittivitymathsymbol}}}
+\newcommand*{\RHSmaxwelliinta}[1][V]{\ensuremath{%
+ \frac{1}{\vacuumpermittivitymathsymbol}\volumeintegral{#1}{\msub{\rho}{e}}}}
+\newcommand*{\RHSmaxwelliintfree}{\ensuremath{0}}
+\newcommand*{\maxwelliint}[1][\partial V]{\ensuremath{%
+ \LHSmaxwelliint[#1]=\RHSmaxwelliint}}
+\newcommandx*{\maxwelliinta}[2][1={\partial V},2={V},usedefault]{\ensuremath{%
+ \LHSmaxwelliint[#1]=\RHSmaxwelliinta[#2]}}
+\newcommand*{\maxwelliintfree}[1][\partial V]{\ensuremath{%
+ \LHSmaxwelliint[#1]=\RHSmaxwelliintfree}}
+\newcommand*{\LHSmaxwelliiint}[1][\partial V]{\ensuremath{%
+ \closedsurfaceintegral{#1}{\vect{B}}}}
+\newcommand*{\RHSmaxwelliiint}{\ensuremath{0}}
+\newcommand*{\RHSmaxwelliiintm}{\ensuremath{%
+ \vacuumpermeabilitymathsymbol\ssub{Q}{\(m\),net}}}
+\newcommand*{\RHSmaxwelliiintma}[1][V]{\ensuremath{%
+ \vacuumpermeabilitymathsymbol\volumeintegral{#1}{\msub{\rho}{m}}}}
+\newcommand*{\RHSmaxwelliiintfree}{\ensuremath{0}}
+\newcommand*{\maxwelliiint}[1][\partial V]{\ensuremath{%
+ \LHSmaxwelliiint[#1]=\RHSmaxwelliiint}}
+\newcommand*{\maxwelliiintm}[1][\partial V]{\ensuremath{%
+ \LHSmaxwelliiint[#1]=\RHSmaxwelliiintm}}
+\newcommandx*{\maxwelliiintma}[2][1={\partial V},2={V},usedefault]{\ensuremath{%
+ \LHSmaxwelliiint[#1]=\RHSmaxwelliiintma[#2]}}
+\newcommand*{\maxwelliiintfree}[1][\partial V]{\ensuremath{%
+ \LHSmaxwelliiint[#1]=\RHSmaxwelliiintfree}}
+\newcommand*{\LHSmaxwelliiiint}[1][\partial\Omega]{\ensuremath{%
+ \closedlineintegral{#1}{\vect{E}}}}
+\newcommand*{\RHSmaxwelliiiint}[1][\Omega]{\ensuremath{%
+ -\dbydt\opensurfaceintegral{#1}{\vect{B}}}}
+\newcommand*{\RHSmaxwelliiiintm}[1][\Omega]{\ensuremath{%
+ -\dbydt\opensurfaceintegral{#1}{\vect{B}}%
+ -\vacuumpermeabilitymathsymbol\ssub{I}{\(m\),net}}}
+\newcommand*{\RHSmaxwelliiiintma}[1][\Omega]{\ensuremath{%
+ -\dbydt\opensurfaceintegral{#1}{\vect{B}}%
+ -\vacuumpermeabilitymathsymbol\opensurfaceintegral{#1}{\vectsub{J}{\(m\)}}}}
+\newcommand*{\RHSmaxwelliiiintfree}{\RHSmaxwelliiiint}
+\newcommandx*{\maxwelliiiint}[2][1={\partial\Omega},2={\Omega},usedefault]%
+ {\ensuremath{\LHSmaxwelliiiint[#1]=\RHSmaxwelliiiint[#2]}}
+\newcommandx*{\maxwelliiiintm}[2][1={\partial\Omega},2={\Omega},usedefault]%
+ {\ensuremath{\LHSmaxwelliiiint[#1]=\RHSmaxwelliiiintm[#2]}}
+\newcommandx*{\maxwelliiiintma}[2][1={\partial\Omega},2={\Omega},usedefault]%
+ {\ensuremath{\LHSmaxwelliiiint[#1]=\RHSmaxwelliiiintma[#2]}}
+\newcommand*{\maxwelliiiintfree}{\maxwelliiiint}
+\newcommand*{\LHSmaxwellivint}[1][\partial\Omega]{\ensuremath{%
+ \closedlineintegral{#1}{\vect{B}}}}
+\newcommand*{\RHSmaxwellivint}[1][\Omega]{\ensuremath{%
+ \vacuumpermeabilitymathsymbol\vacuumpermittivitymathsymbol%
+ \dbydt\opensurfaceintegral{#1}{\vect{E}}+%
+ \vacuumpermeabilitymathsymbol\ssub{I}{\(e\),net}}}
+\newcommand*{\RHSmaxwellivinta}[1][\Omega]{\ensuremath{%
+ \vacuumpermeabilitymathsymbol\vacuumpermittivitymathsymbol%
+ \dbydt\opensurfaceintegral{#1}{\vect{E}}+%
+ \vacuumpermeabilitymathsymbol\opensurfaceintegral{#1}{\vectsub{J}{\(e\)}}}}
+\newcommand*{\RHSmaxwellivintfree}[1][\Omega]{\ensuremath{%
+ \vacuumpermeabilitymathsymbol\vacuumpermittivitymathsymbol%
+ \dbydt\opensurfaceintegral{#1}{\vect{E}}}}
+\newcommandx*{\maxwellivint}[2][1={\partial\Omega},2={\Omega},usedefault]%
+ {\ensuremath{\LHSmaxwellivint[#1]=\RHSmaxwellivint[#2]}}
+\newcommandx*{\maxwellivinta}[2][1={\partial\Omega},2={\Omega},usedefault]%
+ {\ensuremath{\LHSmaxwellivint[#1]=\RHSmaxwellivinta[#2]}}
+\newcommandx*{\maxwellivintfree}[2][1={\partial\Omega},2={\Omega},usedefault]%
+ {\ensuremath{\LHSmaxwellivint[#1]=\RHSmaxwellivintfree[#2]}}
+\newcommand*{\LHSmaxwellidif}{\ensuremath{\divergence{\vect{E}}}}
+\newcommand*{\RHSmaxwellidif}{\ensuremath{\frac{\msub{\rho}{e}}
+ {\vacuumpermittivitymathsymbol}}}
+\newcommand*{\RHSmaxwellidiffree}{\ensuremath{0}}
+\newcommand*{\maxwellidif}{\ensuremath{\LHSmaxwellidif=\RHSmaxwellidif}}
+\newcommand*{\maxwellidiffree}{\ensuremath{\LHSmaxwellidif=\RHSmaxwellidiffree}}
+\newcommand*{\LHSmaxwelliidif}{\ensuremath{\divergence{\vect{B}}}}
+\newcommand*{\RHSmaxwelliidif}{\ensuremath{0}}
+\newcommand*{\RHSmaxwelliidifm}{\ensuremath{\vacuumpermeabilitymathsymbol%
+ \msub{\rho}{m}}}
+\newcommand*{\RHSmaxwelliidiffree}{\ensuremath{0}}
+\newcommand*{\maxwelliidif}{\ensuremath{\LHSmaxwelliidif=\RHSmaxwelliidif}}
+\newcommand*{\maxwelliidifm}{\ensuremath{\LHSmaxwelliidif=\RHSmaxwelliidifm}}
+\newcommand*{\maxwelliidiffree}{\ensuremath{\LHSmaxwelliidif=\RHSmaxwelliidiffree}}
+\newcommand*{\LHSmaxwelliiidif}{\ensuremath{\curl{\vect{E}}}}
+\newcommand*{\RHSmaxwelliiidif}{\ensuremath{-\pbypt[\vect{B}]}}
+\newcommand*{\RHSmaxwelliiidifm}{\ensuremath{-\pbypt[\vect{B}]-%
+ \vacuumpermeabilitymathsymbol\vectsub{J}{\(m\)}}}
+\newcommand*{\RHSmaxwelliiidiffree}{\RHSmaxwelliiidif}
+\newcommand*{\maxwelliiidif}{\ensuremath{\LHSmaxwelliiidif=\RHSmaxwelliiidif}}
+\newcommand*{\maxwelliiidifm}{\ensuremath{\LHSmaxwelliiidif=\RHSmaxwelliiidifm}}
+\newcommand*{\maxwelliiidiffree}{\ensuremath{\LHSmaxwelliiidif=\RHSmaxwelliiidif}}
+\newcommand*{\LHSmaxwellivdif}{\ensuremath{\curl{\vect{B}}}}
+\newcommand*{\RHSmaxwellivdif}{\ensuremath{\vacuumpermeabilitymathsymbol%
+ \vacuumpermittivitymathsymbol\pbypt[\vect{E}]+%
+ \vacuumpermeabilitymathsymbol\vectsub{J}{\(e\)}}}
+\newcommand*{\RHSmaxwellivdiffree}{\ensuremath{\vacuumpermeabilitymathsymbol\vacuumpermittivitymathsymbol\pbypt[\vect{E}]}}
+\newcommand*{\maxwellivdif}{\ensuremath{\LHSmaxwellivdif=\RHSmaxwellivdif}}
+\newcommand*{\maxwellivdiffree}{\ensuremath{\LHSmaxwellivdif=\RHSmaxwellivdiffree}}
+\newcommand*{\RHSlorentzforce}{\ensuremath{\msub{q}{e}\left(\vect{E}+%
+ \vectcrossvect{\vect{v}}{\vect{B}}\right)}}
+\newcommand*{\RHSlorentzforcem}{\ensuremath{\RHSlorentzforce+\msub{q}{m}\left(%
+ \vect{B}-\vectcrossvect{\vect{v}}{\frac{\vect{E}}{c^2}}\right)}}
+\newcommand*{\vpythonline}{\lstinline[style=vpython]}
+\lstnewenvironment{vpythonblock}{\lstset{style=vpython}}{}
+\newcommand*{\vpythonfile}{\lstinputlisting[style=vpython]}
\newcommandx{\emptyanswer}[2][1=0.80,2=0.1,usedefault]
{\begin{minipage}{#1\textwidth}\hfill\vspace{#2\textheight}\end{minipage}}
\newenvironmentx{activityanswer}[5][1=white,2=black,3=black,4=0.90,5=0.10,usedefault]{%
@@ -1340,7 +1447,8 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld
\vspace{\baselineskip}%
\end{center}%
}%
-\newcommandx{\adjemptybox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,6=,7=0.0,usedefault]
+\newcommandx{\adjemptybox}[7][1=\hfill,2=white,3=black,4=black,5=0.90,6=,
+7=0.0,usedefault]
{\begin{center}%
\fcolorbox{#3}{#2}{%
\begin{minipage}[c]{#5\textwidth}\color{#4}%
@@ -1385,65 +1493,50 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld
\ifthenelse{\equal{#1}{}}%
{\begin{center}%
\fcolorbox{#3}{#2}{%
- \emptyanswer[#5][#6]%
- }%
+ \emptyanswer[#5][#6]}%
\vspace{\baselineskip}%
- \end{center}%
- }%
- {\emptybox[#1][#2][#3][#4][#5][#6]%
- }%
+ \end{center}}%
+ {\emptybox[#1][#2][#3][#4][#5][#6]}%
}%
\newcommandx{\largeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.25,%
usedefault]{%
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{\begin{center}%
\fcolorbox{#3}{#2}{%
- \emptyanswer[#5][#6]%
- }%
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- \end{center}%
- }%
- {\emptybox[#1][#2][#3][#4][#5][#6]%
- }%
+ \end{center}}%
+ {\emptybox[#1][#2][#3][#4][#5][#6]}%
}%
\newcommandx{\largeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.33,%
usedefault]{%
\ifthenelse{\equal{#1}{}}%
{\begin{center}%
\fcolorbox{#3}{#2}{%
- \emptyanswer[#5][#6]%
- }%
+ \emptyanswer[#5][#6]}%
\vspace{\baselineskip}%
- \end{center}%
- }%
- {\emptybox[#1][#2][#3][#4][#5][#6]%
- }%
+ \end{center}}%
+ {\emptybox[#1][#2][#3][#4][#5][#6]}%
}%
\newcommandx{\hugeanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.50,%
usedefault]{%
\ifthenelse{\equal{#1}{}}
{\begin{center}%
\fcolorbox{#3}{#2}{%
- \emptyanswer[#5][#6]%
- }%
+ \emptyanswer[#5][#6]}%
\vspace{\baselineskip}%
- \end{center}%
- }%
- {\emptybox[#1][#2][#3][#4][#5][#6]%
- }%
+ \end{center}}%
+ {\emptybox[#1][#2][#3][#4][#5][#6]}%
}%
\newcommandx{\hugeranswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=0.75,%
usedefault]{%
\ifthenelse{\equal{#1}{}}%
{\begin{center}%
\fcolorbox{#3}{#2}{%
- \emptyanswer[#5][#6]%
- }%
+ \emptyanswer[#5][#6]}%
\vspace{\baselineskip}%
- \end{center}%
- }%
- {\emptybox[#1][#2][#3][#4][#5][#6]%
- }%
+ \end{center}}%
+ {\emptybox[#1][#2][#3][#4][#5][#6]}%
}%
\newcommandx{\fullpageanswerbox}[6][1=\hfill,2=white,3=black,4=black,5=0.90,6=1.00,%
usedefault]{%
@@ -1456,12 +1549,12 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld
{\emptybox[#1][#2][#3][#4][#5][#6]}%
}%
\mdfdefinestyle{miinstructornotestyle}{%
- hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip,
- leftmargin=40pt, rightmargin=40pt, linewidth=1, roundcorner=10,
+ hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip,
+ leftmargin=40pt,rightmargin=40pt,linewidth=1,roundcorner=10,
frametitle={INSTRUCTOR NOTE},
- frametitlebackgroundcolor=cyan!60, frametitlerule=true, frametitlerulewidth=1,
+ frametitlebackgroundcolor=cyan!60,frametitlerule=true,frametitlerulewidth=1,
backgroundcolor=cyan!25,
- linecolor=black, fontcolor=black, shadow=true}
+ linecolor=black,fontcolor=black,shadow=true}
\NewEnviron{miinstructornote}{%
\begin{mdframed}[style=miinstructornotestyle]
\begin{adjactivityanswer}[cyan!25][cyan!25][black]
@@ -1470,12 +1563,12 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld
\end{mdframed}
}%
\mdfdefinestyle{mistudentnotestyle}{%
- hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip,
- leftmargin=40pt, rightmargin=40pt, linewidth=1, roundcorner=10,
+ hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip,
+ leftmargin=40pt,rightmargin=40pt,linewidth=1,roundcorner=10,
frametitle={STUDENT NOTE},
- frametitlebackgroundcolor=cyan!60, frametitlerule=true, frametitlerulewidth=1,
+ frametitlebackgroundcolor=cyan!60,frametitlerule=true,frametitlerulewidth=1,
backgroundcolor=cyan!25,
- linecolor=black, fontcolor=black, shadow=true}
+ linecolor=black,fontcolor=black,shadow=true}
\NewEnviron{mistudentnote}{%
\begin{mdframed}[style=mistudentnotestyle]
\begin{adjactivityanswer}[cyan!25][cyan!25][black]
@@ -1484,12 +1577,12 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld
\end{mdframed}
}%
\mdfdefinestyle{miderivationstyle}{%
- hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip,
- leftmargin=0pt, rightmargin=0pt, linewidth=1, roundcorner=10,
+ hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip,
+ leftmargin=0pt,rightmargin=0pt,linewidth=1,roundcorner=10,
frametitle={DERIVATION},
- frametitlebackgroundcolor=orange!60, frametitlerule=true, frametitlerulewidth=1,
+ frametitlebackgroundcolor=orange!60,frametitlerule=true,frametitlerulewidth=1,
backgroundcolor=orange!25,
- linecolor=black, fontcolor=black, shadow=true}
+ linecolor=black,fontcolor=black,shadow=true}
\NewEnviron{miderivation}{%
\begin{mdframed}[style=miderivationstyle]
\setcounter{equation}{0}
@@ -1499,12 +1592,12 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld
\end{mdframed}
}%
\mdfdefinestyle{bwinstructornotestyle}{%
- hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip,
- leftmargin=40pt, rightmargin=40pt, linewidth=1, roundcorner=10,
+ hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip,
+ leftmargin=40pt,rightmargin=40pt,linewidth=1,roundcorner=10,
frametitle={INSTRUCTOR NOTE},
- frametitlebackgroundcolor=gray!50, frametitlerule=true, frametitlerulewidth=1,
+ frametitlebackgroundcolor=gray!50,frametitlerule=true,frametitlerulewidth=1,
backgroundcolor=gray!20,
- linecolor=black, fontcolor=black, shadow=true}
+ linecolor=black,fontcolor=black,shadow=true}
\NewEnviron{bwinstructornote}{%
\begin{mdframed}[style=bwinstructornotestyle]
\begin{adjactivityanswer}[gray!20][gray!20][black]
@@ -1513,12 +1606,12 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld
\end{mdframed}
}%
\mdfdefinestyle{bwstudentnotestyle}{%
- hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip,
- leftmargin=40pt, rightmargin=40pt, linewidth=1, roundcorner=10,
+ hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip,
+ leftmargin=40pt,rightmargin=40pt,linewidth=1,roundcorner=10,
frametitle={STUDENT NOTE},
- frametitlebackgroundcolor=gray!50, frametitlerule=true, frametitlerulewidth=1,
+ frametitlebackgroundcolor=gray!50,frametitlerule=true,frametitlerulewidth=1,
backgroundcolor=gray!20,
- linecolor=black, fontcolor=black, shadow=true}
+ linecolor=black,fontcolor=black,shadow=true}
\NewEnviron{bwstudentnote}{%
\begin{mdframed}[style=bwstudentnotestyle]
\begin{adjactivityanswer}[gray!20][gray!20][black]
@@ -1527,12 +1620,12 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld
\end{mdframed}
}%
\mdfdefinestyle{bwderivationstyle}{%
- hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip,
- leftmargin=0pt, rightmargin=0pt, linewidth=1, roundcorner=10,
+ hidealllines=false,skipbelow=\baselineskip,skipabove=\baselineskip,
+ leftmargin=0pt,rightmargin=0pt,linewidth=1,roundcorner=10,
frametitle={DERIVATION},
- frametitlebackgroundcolor=gray!50, frametitlerule=true, frametitlerulewidth=1,
+ frametitlebackgroundcolor=gray!50,frametitlerule=true,frametitlerulewidth=1,
backgroundcolor=gray!20,
- linecolor=black, fontcolor=black, shadow=true}
+ linecolor=black,fontcolor=black,shadow=true}
\NewEnviron{bwderivation}{%
\begin{mdframed}[style=bwderivationstyle]
\setcounter{equation}{0}
@@ -1541,9 +1634,14 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld
\end{align*}
\end{mdframed}
}%
-\newcommand{\checkpoint}{%
+\NewEnviron{mysolution}{%
+ \begin{align*}
+ \BODY
+ \end{align*}
+}%
+\newcommand*{\checkpoint}{%
\vspace{1cm}\begin{center}|--------- CHECKPOINT ---------|\end{center}}%
-\newcommand{\image}[2]{%
+\newcommand*{\image}[2]{%
\begin{figure}[h!]
\begin{center}%
\includegraphics[scale=1]{#1}%
@@ -1551,19 +1649,19 @@ 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}}
-\newcommand{\sneakyone}[1]{\ensuremath{\cancelto{1}{\frac{#1}{#1}}}}
-\newcommand{\chkquantity}[1]{%
+\newcommand*{\sneakyone}[1]{\ensuremath{\cancelto{1}{\frac{#1}{#1}}}}
+\newcommand*{\chkquantity}[1]{%
\begin{center}
- \begin{tabular}{C{3cm} C{3cm} C{3cm} C{3cm}}
+ \begin{tabular}{C{4.5cm} C{4cm} C{4cm} C{4cm}}
name & baseunit & drvdunit & tradunit \tabularnewline
\cs{#1} & \csname #1onlybaseunit\endcsname & \csname #1onlydrvdunit\endcsname &
\csname #1onlytradunit\endcsname
\end{tabular}
\end{center}
}%
-\newcommand{\chkconstant}[1]{%
+\newcommand*{\chkconstant}[1]{%
\begin{center}
- \begin{tabular}{C{3cm} C{1cm} C{2cm} C{3cm} C{3cm} C{3cm}}
+ \begin{tabular}{C{4cm} C{2cm} C{3cm} 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 &
@@ -1571,26 +1669,6 @@ a^x \approx 1 + x \ln{a} + \frac{(x \ln a)^2}{2!} + \frac{(x \ln a)^3}{3!} + \ld
\end{tabular}
\end{center}
}%
-\newcommandx{\vecto}[2][2,usedefault]{\ensuremath{%
- \ifthenelse{\equal{#2}{}}%
- {\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}{x}[#2],\compvecto{#1}{y}[#2],\compvecto{#1}{z}[#2]\rv}}}%
-\newcommandx{\compposo}[2][2,usedefault]{\ensuremath{%
- \ifthenelse{\equal{#1}{}}%
- {#1}%
- {\ssub{#1}{#2}}}}%
-\newcommandx{\scompsposo}[1][1,usedefault]{\ensuremath{%
- \ifthenelse{\equal{#1}{}}%
- {\lv\compposo{x},\compposo{y},\compposo{z}\rv}%
- {\lv\compposo{x}[#1],\compposo{y}[#1],\compposo{z}[#1]\rv}}}%
\endinput
%%
%% End of file `mandi.sty'.