path: root/Master/texmf-dist/tex/latex/mandi/mandi.sty

%%
%% This is file `mandi.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% mandi.dtx  (with options: `package')
%% 
%% Copyright (C) 2011, 2012, 2013 by Paul J. Heafner <heafnerj@gmail.com>
%% ---------------------------------------------------------------------------
%% This  work may be  distributed and/or modified  under the conditions of the
%% LaTeX Project Public  License, either  version 1.3  of this  license or (at
%% your option) any later version. The latest version of this license is in
%%            http://www.latex-project.org/lppl.txt
%% and  version 1.3 or  later is  part of  all distributions of  LaTeX version
%% 2005/12/01 or later.
%% 
%% This work has the LPPL maintenance status `maintained'.
%% 
%% The Current Maintainer of this work is Paul J. Heafner.
%% 
%% This work consists of the files mandi.dtx
%%                                 README
%% 
%% and includes the derived files  mandi.ins
%%                                 mandi.sty
%%                                 vdemo.py and
%%                                 mandi.pdf.
%% ---------------------------------------------------------------------------
%% 
\ProvidesPackage{mandi}[2013/06/14 2.2.0 Macros for physics and astronomy]
\NeedsTeXFormat{LaTeX2e}[1999/12/01]
\RequirePackage{amsmath}
\RequirePackage{amssymb}
\RequirePackage{array}
\RequirePackage{bigints}
\RequirePackage{cancel}
\RequirePackage[dvipsnames]{xcolor}
\RequirePackage{environ}
\RequirePackage{etoolbox}
\RequirePackage{filehook}
\RequirePackage{extarrows}
\RequirePackage[T1]{fontenc}
\RequirePackage{graphicx}
\RequirePackage{epstopdf}
\RequirePackage{textcomp}
\RequirePackage{letltxmacro}
\RequirePackage{listings}
\RequirePackage[framemethod=TikZ]{mdframed}
\RequirePackage{suffix}
\RequirePackage{xargs}
\RequirePackage{xparse}
\RequirePackage{xspace}
\RequirePackage{ifthen}
\RequirePackage{calligra}
\DeclareMathAlphabet{\mathcalligra}{T1}{calligra}{m}{n}
\DeclareFontShape{T1}{calligra}{m}{n}{<->s*[2.2]callig15}{}
\DeclareGraphicsRule{.tif}{png}{.png}{`convert #1 `basename #1 .tif`.png}
\DeclareMathAlphabet{\mathpzc}{OT1}{pzc}{m}{it}
\usetikzlibrary{shadows}
\definecolor{vpythoncolor}{rgb}{0.95,0.95,0.95}
\newcommand{\lstvpython}{\lstset{language=Python,numbers=left,numberstyle=\tiny,
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\newcolumntype{C}[1]{>{\centering}m{#1}}
\newboolean{@optitalicvectors}
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\newboolean{@optbaseunits}
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\DeclareOption{italicvectors}{\setboolean{@optitalicvectors}{true}}
\DeclareOption{doubleabsbars}{\setboolean{@optdoubleabsbars}{true}}
\DeclareOption{baseunits}{\setboolean{@optbaseunits}{true}}
\DeclareOption{drvdunits}{\setboolean{@optdrvdunits}{true}}
\ProcessOptions\relax
\@ifpackageloaded{amssymb}{%
  \csundef{square}
  \typeout{mandi: Package amssymb detected. Its \protect\square\space has been redefined.}
}{%
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}%
\newcommand{\per}{\ensuremath{/}}
\newcommand{\usk}{\ensuremath{\cdot}}
\newcommand{\unit}[2]{\ensuremath{{#1}\,{#2}}}
\newcommand{\ampere}{\ensuremath{\mathrm{A}}}
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\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}}}
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\newcommand{\minute}{\ensuremath{\mathrm{min}}}
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\newcommand{\newton}{\ensuremath{\mathrm{N}}}
\newcommand{\ohm}{\ensuremath{\Omega}}
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\newcommand{\tesla}{\ensuremath{\mathrm{T}}}
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\newcommand{\weber}{\ensuremath{\mathrm{Wb}}}
\newcommand{\C}{\coulomb}
\newcommand{\F}{\farad}
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\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
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\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{}%
\long\def\mi@name#1#{\romannumeral0\mi@innername{#1}}%
\newcommand\mi@innername[2]{%
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\begingroup
\@firstofone{%
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  \newcommand\mi@forkifnull[3]{%
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\newcommand\selectbaseunit[3]{#1}
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\newcommand\selectunit{}
\newcommand\perpusebaseunit{\let\selectunit=\selectbaseunit}
\newcommand\perpusedrvdunit{\let\selectunit=\selectdrvdunit}
\newcommand\perpusetradunit{\let\selectunit=\selecttradunit}
\newcommand\hereusebaseunit[1]{%
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\newcommand\hereusedrvdunit[1]{%
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\newenvironment{usebaseunit}{\perpusebaseunit}{}%
\newenvironment{usedrvdunit}{\perpusedrvdunit}{}%
\newenvironment{usetradunit}{\perpusetradunit}{}%
\newcommand*\newphysicsquantity{\definephysicsquantity{\newcommand}}
\newcommand*\redefinephysicsquantity{\definephysicsquantity{\renewcommand}}
\newcommandx\definephysicsquantity[5][4=,5=]{%
  \innerdefinewhatsoeverquantityfork{#3}{#4}{#5}{#1}{#2}{}{[1]}{##1}}%
\newcommand*\newphysicsconstant{\definephysicsconstant{\newcommand}}
\newcommand*\redefinephysicsconstant{\definephysicsconstant{\renewcommand}}
\newcommandx\definephysicsconstant[7][6=,7=]{%
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\newcommand\innerdefinewhatsoeverquantityfork[3]{%
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\newcommand\innerdefinewhatsoeverquantity[8]{%
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\ifthenelse{\boolean{@optitalicvectors}}
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\ifthenelse{\boolean{@optdoubleabsbars}}
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  {\typeout{mandi: You'll get single absolute value bars.}}
\ifthenelse{\boolean{@optbaseunits}}
  {\perpusebaseunit %
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  {\ifthenelse{\boolean{@optdrvdunits}}
     {\perpusedrvdunit %
      \typeout{mandi: You'll get derived units.}}
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\def\resetMathstrut@{%
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\begingroup
  \catcode`(\active \xdef({\left\string(}
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\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
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{\box0\lower0.4pt\box2}}
\LetLtxMacro{\oldsqrt}{\sqrt}
\renewcommand*{\sqrt}[2][\relax]{\oldsqrt[#1]{#2}}
\typeout{mandi: square root symbol fixed.}
\newcommand{\m}{\metre}
\newcommand{\kg}{\kilogram}
\newcommand{\s}{\second}
\newcommand{\A}{\ampere}
\newcommand{\K}{\kelvin}
\newcommand{\mol}{\mole}
\newcommand{\cd}{\candela}
\newphysicsquantity{displacement}{\m}[\m][\m]
\newphysicsquantity{mass}{\kg}[\kg][\kg]
\newphysicsquantity{duration}{\s}[\s][\s]
\newphysicsquantity{current}{\A}[\A][\A]
\newphysicsquantity{temperature}{\K}[\K][\K]
\newphysicsquantity{amount}{\mol}[\mol][\mol]
\newphysicsquantity{luminous}{\cd}[\cd][\cd]
\newphysicsquantity{planeangle}{\m\usk\reciprocal\m}[\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}}}}
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\newcommand{\insolarD}[1]{\ensuremath{\unit{#1}{\Dsolar}}}
\newcommand{\insolard}[1]{\ensuremath{\unit{#1}{\dsolar}}}
\newcommand{\velocityc}[1]{\ensuremath{#1c}}
\newphysicsquantity{velocity}{\m\usk\reciprocal\s}[\m\usk\reciprocal\s][\m\per\s]
\newphysicsquantity{acceleration}{\m\usk\s\reciprocalsquared}[\N\per\kg][\m\per\s\squared]
\newcommand{\lorentz}[1]{\ensuremath{#1}}
\newphysicsquantity{momentum}{\m\usk\kg\usk\reciprocal\s}[\N\usk\s][\kg\usk\m\per\s]
\newphysicsquantity{impulse}{\m\usk\kg\usk\reciprocal\s}[\N\usk\s][\kg\usk\m\per\s]
\newphysicsquantity{force}{\m\usk\kg\usk\s\reciprocalsquared}[\N][\N]
\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{work}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J][\N\usk\m]
\newphysicsquantity{energy}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J][\N\usk\m]
\newphysicsquantity{power}{\m\squared\usk\kg\usk\s\reciprocalcubed}[\W][\J\per\s]
\newphysicsquantity{angularvelocity}{\rad\usk\reciprocal\s}[\rad\per\s][\rad\per\s]
\newphysicsquantity{angularacceleration}{\rad\usk\s\reciprocalsquared}[\rad\per\s\squared]
[\rad\per\s\squared]
\newphysicsquantity{angularmomentum}{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s]
[\kg\usk\m\squared\per\s]
\newphysicsquantity{momentofinertia}{\m\squared\usk\kg}[\J\usk\s\squared][\kg\usk\m\squared]
\newphysicsquantity{torque}{\m\squared\usk\kg\usk\s\reciprocalsquared}[\J\per\rad][\N\usk\m]
\newphysicsquantity{entropy}{\m\squared\usk\kg\usk\s\reciprocalsquared\usk\reciprocal\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]
\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{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{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{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{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{magneticcharge}{\m\usk\A}[\m\usk\A][\m\usk\A]
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\newcommand{\dervect}[2]{\ensuremath{\frac{\dvect{#1}}{\mathrm{d}{#2}}}}
\newcommand{\Dervect}[2]{\ensuremath{\frac{\Dvect{#1}}{\Delta{#2}}}}
\newcommand{\compdervect}[3]{\ensuremath{\dbyd{\compvect{#1}{#2}}{#3}}}
\newcommand{\compDervect}[3]{\ensuremath{\DbyD{\compvect{#1}{#2}}{#3}}}
\newcommand{\scompsdervect}[2]{\ensuremath{\lv
  \compdervect{#1}{x}{#2},
  \compdervect{#1}{y}{#2},
  \compdervect{#1}{z}{#2}\rv}}
\newcommand{\scompsDervect}[2]{\ensuremath{\lv
  \compDervect{#1}{x}{#2},
  \compDervect{#1}{y}{#2},
  \compDervect{#1}{z}{#2}\rv}}
\ifthenelse{\boolean{@optdoubleabsbars}}
  {\newcommand{\magdervect}[2]{\ensuremath{\magof{\dervect{#1}{#2}}}}
   \newcommand{\magDervect}[2]{\ensuremath{\magof{\Dervect{#1}{#2}}}}}
  {\newcommand{\magdervect}[2]{\ensuremath{\abs{\dervect{#1}{#2}}}}
   \newcommand{\magDervect}[2]{\ensuremath{\abs{\Dervect{#1}{#2}}}}}
\newcommand{\dermagvect}[2]{\ensuremath{\dbyd{\magvect{#1}}{#2}}}
\newcommand{\Dermagvect}[2]{\ensuremath{\DbyD{\magvect{#1}}{#2}}}
\newcommand{\scompspos}{\mivector{x,y,z}}
\newcommand{\comppos}[1]{\ensuremath{{#1}}}
\newcommand{\scompsdpos}{\mivector{\mathrm{d}x,\mathrm{d}y,\mathrm{d}z}}
\newcommand{\scompsDpos}{\mivector{\Delta x,\Delta y,\Delta z}}
\newcommand{\compdpos}[1]{\ensuremath{\mathrm{d}{#1}}}
\newcommand{\compDpos}[1]{\ensuremath{\Delta{#1}}}
\newcommand{\scompsderpos}[1]{\ensuremath{\lv
  \frac{\mathrm{d}x}{\mathrm{d}{#1}},\frac{\mathrm{d}y}{\mathrm{d}{#1}},
    \frac{\mathrm{d}z}{\mathrm{d}{#1}}\rv}}
\newcommand{\scompsDerpos}[1]{\ensuremath{\lv
  \frac{\Delta x}{\Delta{#1}},\frac{\Delta y}{\Delta{#1}},
    \frac{\Delta z}{\Delta{#1}}\rv}}
\newcommand{\compderpos}[2]{\ensuremath{\frac{\mathrm{d}{#1}}{\mathrm{d}{#2}}}}
\newcommand{\compDerpos}[2]{\ensuremath{\frac{\Delta{#1}}{\Delta{#2}}}}
\newcommand{\vectsub}[2]{\ensuremath{\ssub{\vect{#1}}{#2}}}
\ifthenelse{\boolean{@optitalicvectors}}
  {\newcommand{\compvectsub}[3]{\ensuremath{\ssub{#1}{\(#2\),#3}}}}
  {\newcommand{\compvectsub}[3]{\ensuremath{\ssub{\mathrm{#1}}{\(#2\),#3}}}}
\newcommand{\scompsvectsub}[2]{\ensuremath{\lv
  \compvectsub{#1}{x}{#2},
  \compvectsub{#1}{y}{#2},
  \compvectsub{#1}{z}{#2}\rv}}
\ifthenelse{\boolean{@optdoubleabsbars}}
  {\newcommand{\magvectsub}[2]{\ensuremath{\magof{\vectsub{#1}{#2}}}}}
  {\newcommand{\magvectsub}[2]{\ensuremath{\abs{\vectsub{#1}{#2}}}}}
\newcommand{\magvectsubscomps}[2]{\ensuremath{\sqrt{
    \msup{\compvectsub{#1}{x}{#2}}{2}+
    \msup{\compvectsub{#1}{y}{#2}}{2}+
    \msup{\compvectsub{#1}{z}{#2}}{2}}}}
\ifthenelse{\boolean{@optitalicvectors}}
  {\newcommand{\dirvectsub}[2]{\ensuremath{\ssub{\widehat{#1}}{#2}}}}
  {\newcommand{\dirvectsub}[2]{\ensuremath{\ssub{\widehat{\mathrm{#1}}}{#2}}}}
\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}{x}{#2},
  \compdvectsub{#1}{y}{#2},
  \compdvectsub{#1}{z}{#2}\rv}}
\newcommand{\scompsDvectsub}[2]{\ensuremath{\lv
  \compDvectsub{#1}{x}{#2},
  \compDvectsub{#1}{y}{#2},
  \compDvectsub{#1}{z}{#2}\rv}}
\newcommand{\dermagvectsub}[3]{\ensuremath{\dbyd{\magvectsub{#1}{#2}}{#3}}}
\newcommand{\Dermagvectsub}[3]{\ensuremath{\DbyD{\magvectsub{#1}{#2}}{#3}}}
\newcommand{\dervectsub}[3]{\ensuremath{\dbyd{\vectsub{#1}{#2}}{#3}}}
\newcommand{\Dervectsub}[3]{\ensuremath{\DbyD{\vectsub{#1}{#2}}{#3}}}
\ifthenelse{\boolean{@optdoubleabsbars}}
  {\newcommand{\magdervectsub}[3]{\ensuremath{\magof{\dervectsub{#1}{#2}{#3}}}}
   \newcommand{\magDervectsub}[3]{\ensuremath{\magof{\Dervectsub{#1}{#2}{#3}}}}}
  {\newcommand{\magdervectsub}[3]{\ensuremath{\abs{\dervectsub{#1}{#2}{#3}}}}
   \newcommand{\magDervectsub}[3]{\ensuremath{\abs{\Dervectsub{#1}{#2}{#3}}}}}
\newcommand{\compdervectsub}[4]{\ensuremath{\dbyd{\compvectsub{#1}{#2}{#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}+
  \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}+
  \compvect{#1}{z}\compdvect{#2}{z}}}
\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{
  \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{%
  \scompsvectsub{#1}{#2}\bullet\scompsdvectsub{#3}{#4}}}
\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{
  \scompsvectsub{#1}{#2}\bullet\scompsdvect{#3}}}
\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{
  \scompsdervect{#1}{#2}\bullet\scompsvect{#3}}}
\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{
  \scompsvect{#1}\bullet\scompsdervect{#2}{#3}}}
\newcommand{\vectdotsDervect}[3]{\ensuremath{
  \scompsvect{#1}\bullet\scompsDervect{#2}{#3}}}
\newcommand{\vectdotedervect}[3]{\ensuremath{
  \compvect{#1}{x}\compdervect{#2}{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}+
  \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{
  \scompsdervect{#1}{#2}\bullet\scompsdvect{#3}}}
\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}+
  \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}+
  \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}}
\ExplSyntaxOn % Vectors formated as in M\&I, written in LaTeX3
\NewDocumentCommand{\mivector}{ O{,} m o }%
 {%
   \mi_vector:nn { #1 } { #2 }
   \IfValueT{#3}{\;{#3}}
 }%
\seq_new:N \l__mi_list_seq
\cs_new_protected:Npn \mi_vector:nn #1 #2
{%
  \ensuremath{%
    \seq_set_split:Nnn \l__mi_list_seq { , } { #2 }
    \int_compare:nF { \seq_count:N \l__mi_list_seq = 1 } { \left\langle }
    \seq_use:Nnnn \l__mi_list_seq { #1 } { #1 } { #1 }
    \int_compare:nF { \seq_count:N \l__mi_list_seq = 1 } { \right\rangle }
  }%
}%
\ExplSyntaxOff
\ExplSyntaxOn % Column and row vectors, written in LaTeX3
\seq_new:N \l__vector_arg_seq
\cs_new_protected:Npn \vector_main:nnnn #1 #2 #3 #4
 {%
  \seq_set_split:Nnn \l__vector_arg_seq { #3 } { #4 }
  \begin{#1matrix}
    \seq_use:Nnnn \l__vector_arg_seq { #2 } { #2 } { #2 }
  \end{#1matrix}
 }%
\NewDocumentCommand{\rowvector}{ O{,} m }
 {%
  \ensuremath{
  \vector_main:nnnn { p } { \,\, } { #1 } { #2 }
  }%
 }%
\NewDocumentCommand{\colvector}{ O{,} m }
 {%
  \ensuremath{
  \vector_main:nnnn { p } { \\ } { #1 } { #2 }
  }%
 }%
\ExplSyntaxOff
\newcommandx{\scompscvect}[2][1,usedefault]{%
  \ifthenelse{\equal{#1}{}}%
  {%
    \colvector{\msub{#2}{1},\msub{#2}{2},\msub{#2}{3}}%
  }%
  {%
    \colvector{\msub{#2}{0},\msub{#2}{1},\msub{#2}{2},\msub{#2}{3}}%
  }%
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\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]
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\newphysicsconstant{oofpezcs}{\ensuremath{\frac{1}{\phantom{_o}4\pi\ssub{\epsilon}{o}
c^2\phantom{_o}}}}{\scin{-7}}{\m\usk\kg\usk\s\reciprocalsquared\usk\A\reciprocalsquared}
[\T\usk\m\squared][\N\usk\s\squared\per\C\squared]
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\newphysicsconstant{vacuumpermittivity}{\ensuremath{\ssub{\epsilon}{o}}}{\scin[8.8542]{-12}}
{\m\reciprocalcubed\usk\reciprocal\kg\usk\s\quarted\usk\A\squared}[\F\per\m]
[\C\squared\per\N\usk\m\squared]
\newphysicsconstant{mzofp}{\ensuremath{\frac{\phantom{_oo}\ssub{\mu}{o}\phantom{_o}}
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[\henry\per\m][\tesla\usk\m\per\A]
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\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}}
{\m\squared\usk\kg\usk\reciprocalsquare\s\usk\reciprocal\K}[\joule\per\K][\J\per\K]
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\newphysicsconstant{boltzmanninev}{\ensuremath{\ssub{k}{B}}}{\scin[8.6173]{-5}}
{\eV\usk\reciprocal\K}[\eV\per\K][\eV\per\K]
\newphysicsconstant{stefanboltzmann}{\ensuremath{\sigma}}{\scin[5.6704]{-8}}
{\kg\usk\s\reciprocalcubed\usk\K\reciprocalquarted}[\W\per\m\squared\usk\K^4]
[\W\per\m\squared\usk\K\quarted]
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\newphysicsconstant{planck}{\ensuremath{h}}{\scin[6.6261]{-34}}
{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s][\J\usk\s]
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{\eV\usk\s}[\eV\usk\s][\eV\usk\s]
\newphysicsconstant{planckbar}{\ensuremath{\hbar}}{\scin[1.0546]{-34}}
{\m\squared\usk\kg\usk\reciprocal\s}[\J\usk\s][\J\usk\s]
\newcommand{\reducedplanckconstant}{\planckbar}
\newphysicsconstant{planckbarinev}{\ensuremath{\hbar}}{\scin[6.5821]{-16}}
{\eV\usk\s}[\eV\usk\s][\eV\usk\s]
\newphysicsconstant{planckc}{\ensuremath{hc}}{\scin[1.9864]{-25}}
{\m\cubed\usk\kg\usk\reciprocalsquare\s}[\J\usk\m][\J\usk\m]
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\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]
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\newphysicsconstant{avogadro}{\ensuremath{\ssub{N}{A}}}{\scin[6.0221]{23}}
{\reciprocal\mol}[\reciprocal\mol][\reciprocal\mol]
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\newphysicsconstant{universalgrav}{\ensuremath{G}}{\scin[6.6738]{-11}}
{\m\cubed\usk\reciprocal\kg\usk\s\reciprocalsquared}[\J\usk\m\per\kg\squared]
[\N\usk\m\squared\per\kg\squared]
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\newphysicsconstant{surfacegravfield}{\ensuremath{g}}{9.80}{\m\usk\s\reciprocalsquared}
[\N\per\kg][\m\per\s\squared]
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[\m\per\s][\m\per\s]
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\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}]
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\newcommand{\radiusofatom}{\Ratom}
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{\kg}[\kg][\kg]
\newcommand{\massofproton}{\Mproton}
\newphysicsconstant{Mneutron}{\ensuremath{\ssub{m}{neutron}}}{\scin[1.6749]{-27}}
{\kg}[\kg][\kg]
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{\kg}[\kg][\kg]
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\newphysicsconstant{Melectron}{\ensuremath{\ssub{m}{electron}}}{\scin[9.1094]{-31}}
{\kg}[\kg][\kg]
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{\A\usk\s}[\C][\C]
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{\A\usk\s}[\C][\C]
\newcommand{\chargeofelectron}{\Qelectron}
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{\A\usk\s}[\C][\C]
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{\A\usk\s}[\C][\C]
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\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}
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\newphysicsconstant{TSun}{\ensuremath{\ssub{T}{Sun}}}{5778}{\K}[\K][\K]
\newphysicsconstant{MagSun}{\ensuremath{\ssub{M}{Sun}}}{+4.83}{}[][]
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  \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}}
  \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,%
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\lstnewenvironment{vpythonblock}{\lstvpython}{}
\newcommand{\vpythonfile}{\lstinputlisting[language=Python,numbers=left,%
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\newcommandx{\emptyanswer}[2][1=0.80,2=0.1,usedefault]
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\newenvironmentx{activityanswer}[5][1=white,2=black,3=black,4=0.90,5=0.10,usedefault]{%
  \def\skipper{#5}%
  \def\response@fbox{\fcolorbox{#2}{#1}}%
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    \begin{lrbox}{\@tempboxa}%
      \begin{minipage}[c][#5\textheight][c]{#4\textwidth}\color{#3}%
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        \vspace{\skipper\textheight}%
      \end{minipage}%
    \end{lrbox}%
    \response@fbox{\usebox{\@tempboxa}}%
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}%
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  \def\skipper{#5}%
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        \vspace{\skipper\textheight}%
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}%
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       \end{minipage}}%
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}%
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         \vspace{#7\textheight}%
       \end{minipage}}%
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}%
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}%
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}%
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}%
\mdfdefinestyle{miinstructornotestyle}{%
    hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip,
    leftmargin=40pt, rightmargin=40pt, linewidth=1, roundcorner=10,
    frametitle={INSTRUCTOR NOTE},
    frametitlebackgroundcolor=cyan!60, frametitlerule=true, frametitlerulewidth=1,
    backgroundcolor=cyan!25,
    linecolor=black, fontcolor=black, shadow=true}
\NewEnviron{miinstructornote}{%
  \begin{mdframed}[style=miinstructornotestyle]
    \begin{adjactivityanswer}[cyan!25][cyan!25][black]
      \BODY
    \end{adjactivityanswer}
  \end{mdframed}
}%
\mdfdefinestyle{mistudentnotestyle}{%
    hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip,
    leftmargin=40pt, rightmargin=40pt, linewidth=1, roundcorner=10,
    frametitle={STUDENT NOTE},
    frametitlebackgroundcolor=cyan!60, frametitlerule=true, frametitlerulewidth=1,
    backgroundcolor=cyan!25,
    linecolor=black, fontcolor=black, shadow=true}
\NewEnviron{mistudentnote}{%
  \begin{mdframed}[style=mistudentnotestyle]
    \begin{adjactivityanswer}[cyan!25][cyan!25][black]
      \BODY
    \end{adjactivityanswer}
  \end{mdframed}
}%
\mdfdefinestyle{miderivationstyle}{%
    hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip,
    leftmargin=0pt, rightmargin=0pt, linewidth=1, roundcorner=10,
    frametitle={DERIVATION},
    frametitlebackgroundcolor=orange!60, frametitlerule=true, frametitlerulewidth=1,
    backgroundcolor=orange!25,
    linecolor=black, fontcolor=black, shadow=true}
\NewEnviron{miderivation}{%
  \begin{mdframed}[style=miderivationstyle]
  \setcounter{equation}{0}
    \begin{align*}
      \BODY
    \end{align*}
  \end{mdframed}
}%
\mdfdefinestyle{bwinstructornotestyle}{%
    hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip,
    leftmargin=40pt, rightmargin=40pt, linewidth=1, roundcorner=10,
    frametitle={INSTRUCTOR NOTE},
    frametitlebackgroundcolor=gray!50, frametitlerule=true, frametitlerulewidth=1,
    backgroundcolor=gray!20,
    linecolor=black, fontcolor=black, shadow=true}
\NewEnviron{bwinstructornote}{%
  \begin{mdframed}[style=bwinstructornotestyle]
    \begin{adjactivityanswer}[gray!20][gray!20][black]
      \BODY
    \end{adjactivityanswer}
  \end{mdframed}
}%
\mdfdefinestyle{bwstudentnotestyle}{%
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    leftmargin=40pt, rightmargin=40pt, linewidth=1, roundcorner=10,
    frametitle={STUDENT NOTE},
    frametitlebackgroundcolor=gray!50, frametitlerule=true, frametitlerulewidth=1,
    backgroundcolor=gray!20,
    linecolor=black, fontcolor=black, shadow=true}
\NewEnviron{bwstudentnote}{%
  \begin{mdframed}[style=bwstudentnotestyle]
    \begin{adjactivityanswer}[gray!20][gray!20][black]
      \BODY
    \end{adjactivityanswer}
  \end{mdframed}
}%
\mdfdefinestyle{bwderivationstyle}{%
    hidealllines=false, skipbelow=\baselineskip, skipabove=\baselineskip,
    leftmargin=0pt, rightmargin=0pt, linewidth=1, roundcorner=10,
    frametitle={DERIVATION},
    frametitlebackgroundcolor=gray!50, frametitlerule=true, frametitlerulewidth=1,
    backgroundcolor=gray!20,
    linecolor=black, fontcolor=black, shadow=true}
\NewEnviron{bwderivation}{%
  \begin{mdframed}[style=bwderivationstyle]
  \setcounter{equation}{0}
    \begin{align*}
      \BODY
    \end{align*}
  \end{mdframed}
}%
\newcommand{\checkpoint}{%
  \vspace{1cm}\begin{center}|--------- CHECKPOINT ---------|\end{center}}%
\newcommand{\image}[2]{%
  \begin{figure}[h!]
    \begin{center}%
      \includegraphics[scale=1]{#1}%
      \caption{#2}%
      \label{#1}%
    \end{center}%
  \end{figure}}
\newcommand{\sneakyone}[1]{\ensuremath{\cancelto{1}{\frac{#1}{#1}}}}
\newcommand{\chkquantity}[1]{%
  \begin{center}
    \begin{tabular}{C{3cm} C{3cm} C{3cm} C{3cm}}
      name    & baseunit & drvdunit & tradunit \tabularnewline
      \cs{#1} & \csname #1onlybaseunit\endcsname & \csname #1onlydrvdunit\endcsname &
        \csname #1onlytradunit\endcsname
    \end{tabular}
  \end{center}
}%
\newcommand{\chkconstant}[1]{%
  \begin{center}
    \begin{tabular}{C{3cm} C{1cm} C{2cm} C{3cm} C{3cm} C{3cm}}
      name    & symbol & value & baseunit & drvdunit & tradunit \tabularnewline
      \cs{#1} & \csname #1mathsymbol\endcsname & \csname #1value\endcsname &
        \csname #1onlybaseunit\endcsname & \csname #1onlydrvdunit\endcsname &
        \csname #1onlytradunit\endcsname
    \end{tabular}
  \end{center}
}%
\newcommandx{\vecto}[2][2,usedefault]{\ensuremath{%
  \ifthenelse{\equal{#2}{}}%
    {\vec{#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'.