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author | Karl Berry <karl@freefriends.org> | 2012-11-02 23:33:35 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2012-11-02 23:33:35 +0000 |
commit | 89df75aae9d25e94c83fbf99d633236815f26b0f (patch) | |
tree | 40ed2c9876769abf61a4178c264e8ed0a3c5f97e /Master | |
parent | 3c694dfbf7d9902b827affc7e3b0e2c6322550dc (diff) |
physics (2nov12)
git-svn-id: svn://tug.org/texlive/trunk@28153 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master')
-rw-r--r-- | Master/texmf-dist/doc/latex/physics/README | 7 | ||||
-rw-r--r-- | Master/texmf-dist/doc/latex/physics/physics.pdf | bin | 206120 -> 220722 bytes | |||
-rw-r--r-- | Master/texmf-dist/doc/latex/physics/physics.tex | 92 | ||||
-rw-r--r-- | Master/texmf-dist/tex/latex/physics/physics.sty | 253 |
4 files changed, 246 insertions, 106 deletions
diff --git a/Master/texmf-dist/doc/latex/physics/README b/Master/texmf-dist/doc/latex/physics/README index a6eb7ea1521..8e4725a840e 100644 --- a/Master/texmf-dist/doc/latex/physics/README +++ b/Master/texmf-dist/doc/latex/physics/README @@ -1,8 +1,11 @@ README for physics.sty -physics 1.10 +physics 1.20 Created by Sergio C. de la Barrera -Updated October 11, 2012 +Updated October 31, 2012 + +E-mail comments and suggestions to: +physics.tex@gmail.com This material is subject to the LaTeX Project Public License. See http://www.ctan.org/tex-archive/help/Catalogue/licenses.lppl.html for the details of that license. diff --git a/Master/texmf-dist/doc/latex/physics/physics.pdf b/Master/texmf-dist/doc/latex/physics/physics.pdf Binary files differindex e8942cb454b..8e8061b9e0a 100644 --- a/Master/texmf-dist/doc/latex/physics/physics.pdf +++ b/Master/texmf-dist/doc/latex/physics/physics.pdf diff --git a/Master/texmf-dist/doc/latex/physics/physics.tex b/Master/texmf-dist/doc/latex/physics/physics.tex index 6a273fbac0f..5a634b1ee95 100644 --- a/Master/texmf-dist/doc/latex/physics/physics.tex +++ b/Master/texmf-dist/doc/latex/physics/physics.tex @@ -5,15 +5,18 @@ \usepackage[colorlinks,urlcolor=blue]{hyperref} \usepackage{array} \usepackage{longtable} +\usepackage{multirow} \newcommand\Vtextvisiblespace[1][.3em]{% \mbox{\kern.06em\vrule height.3ex}% \vbox{\hrule width#1}% \hbox{\vrule height.3ex}} -\begin{document} +% physics 1.20 \title{The \texttt{physics} package} \author{Sergio C. de la Barrera} + +\begin{document} \maketitle \tableofcontents @@ -43,18 +46,22 @@ To use the \texttt{physics} package, simply insert \verb|\usepackage{physics}| i & \verb|\qty[a+b]| $\rightarrow \qty[a+b]$ & automatic $\qty[\;]$ braces \\ & \verb|\qty| \!\!\texttt{|}\!\! \verb|a+b| \!\!\texttt{|} $\rightarrow \qty|a+b|$ & automatic $\qty|\;|$ braces \\ & \verb|\qty{a+b}| $\rightarrow \qty{a+b}$ & automatic $\qty{\;}$ braces \\ -& \verb|\qty\big{}| $\rightarrow \qty\big{}$ & manual sizing (works with any of the above bracket types) \\ +& \verb|\qty\big{}| $\rightarrow \qty\big{}$ & \multirow{2}{*}{\parbox{6cm}{manual sizing (works with any of the above bracket types)}} \\ & \verb|\qty\Big{}| $\rightarrow \qty\Big{}$ & \\ & \verb|\qty\bigg{}| $\rightarrow \qty\bigg{}$ & \\ & \verb|\qty\Bigg{}| $\rightarrow \qty\Bigg{}$ & \\ \verb|\absolutevalue| & \verb|\abs{a}| $\rightarrow \abs{a}$ & automatic sizing; equivalent to \verb|\qty| \!\!\texttt{|a|} \\ & \verb|\abs\Big{a}| $\rightarrow \abs\Big{a}$ & inherits manual sizing syntax from \verb|\qty| \\ \verb|\norm| & \verb|\norm{a}| $\rightarrow \norm{a}$ & automatic sizing \\ +& \verb|\norm\Big{a}| $\rightarrow \norm\Big{a}$ & manual sizing \\ +\verb|\evaluated| & \verb|\eval{x}_0^\infty| $\displaystyle\rightarrow \eval{x}_0^\infty$ & automatic right vertical bar for evaluation limits \\ +& \verb|\eval(x)_y| $\displaystyle\rightarrow \eval(x)_y$ & parenthetical form for holding values constant \\ \verb|\order| & \verb|\order{x^2}| $\rightarrow \order{x^2}$ & order symbol; automatic sizing and space handling \\ -\verb|\poissonbracket| & \verb|\pb{A}{B}| $\rightarrow \pb{A}{B}$ & same as \verb|\anticommutator| \\ +& \verb|\order\Big{x^2}| $\rightarrow \order\Big{x^2}$ & manual sizing \\ \verb|\commutator| & \verb|\comm{A}{B}| $\rightarrow \comm{A}{B}$ & automatic sizing \\ \verb|\anticommutator| & \verb|\acomm{A}{B}| $\rightarrow \acomm{A}{B}$ & same as \verb|\poissonbracket| \\ -& \verb|\acommutator{A}{B}| $\rightarrow \acommutator{A}{B}$ & +& \verb|\acommutator{A}{B}| $\rightarrow \acommutator{A}{B}$ & alternate name \\ +\verb|\poissonbracket| & \verb|\pb{A}{B}| $\rightarrow \pb{A}{B}$ & same as \verb|\anticommutator| \end{longtable} \subsection{Vector notation} @@ -70,18 +77,33 @@ To use the \texttt{physics} package, simply insert \verb|\usepackage{physics}| i & \verb|\cp| $\rightarrow \cp$ as in $\vb{a} \cp \vb{b}$ & alternate name \\ \verb|\vnabla| & \verb|\vnabla| $\rightarrow \vnabla$ versus $\nabla$ & low-level macro for bold version \\ \verb|\gradient| & \verb|\grad| $\rightarrow \grad$ & \\ -& \verb|\grad{\Psi}| $\rightarrow \grad{\Psi}$ & handles spacing \\ -& \verb|\grad*{\Psi+\Phi}| $\rightarrow \grad*{\Psi+\Phi}$ & long-form (handles spacing and brackets) \\ +& \verb|\grad{\Psi}| $\rightarrow \grad{\Psi}$ & default mode \\ +& \verb|\grad(\Psi+\Phi)| $\rightarrow \grad(\Psi+\Phi)$ & long-form (like \verb|\qty| but also handles spacing) \\ +& \verb|\grad[\Psi+\Phi]| $\rightarrow \grad[\Psi+\Phi]$ & \\ \verb|\divergence| & \verb|\div| $\rightarrow \div$ & note \texttt{amsmath} symbol $\divisionsymbol$ renamed \verb|\divisionsymbol| \\ -& \verb|\div{\vb{a}}| $\rightarrow \div{\vb{a}}$ & handles spacing \\ -& \verb|\div*{\vb{a}+\vb{b}}| $\rightarrow \div*{\vb{a}+\vb{b}}$ & long-form \\ +& \verb|\div{\vb{a}}| $\rightarrow \div{\vb{a}}$ & default mode \\ +& \verb|\div(\vb{a}+\vb{b})| $\rightarrow \div(\vb{a}+\vb{b})$ & long-form \\ +& \verb|\div[\vb{a}+\vb{b}]| $\rightarrow \div[\vb{a}+\vb{b}]$ & \\ \verb|\curl| & \verb|\curl| $\rightarrow \curl$ & \\ -& \verb|\curl{\vb{a}}| $\rightarrow \curl{\vb{a}}$ & handles spacing \\ -& \verb|\curl*{\vb{a}+\vb{b}}| $\rightarrow \curl*{\vb{a}+\vb{b}}$ & long-form +& \verb|\curl{\vb{a}}| $\rightarrow \curl{\vb{a}}$ & default mode \\ +& \verb|\curl(\vb{a}+\vb{b}})| $\rightarrow \curl(\vb{a}+\vb{b})$ & long-form \\ +& \verb|\curl[\vb{a}+\vb{b}]| $\rightarrow \curl[\vb{a}+\vb{b}]$ & \\ +\verb|\laplacian| & \verb|\laplacian| $\rightarrow \laplacian$ & \\ +& \verb|\laplacian{\Psi}| $\rightarrow \laplacian{\Psi}$ & default mode \\ +& \verb|\laplacian(\Psi+\Phi)| $\rightarrow \laplacian(\Psi+\Phi)$ & long-form \\ +& \verb|\laplacian[\Psi+\Phi]| $\rightarrow \laplacian[\Psi+\Phi]$ & \end{longtable} \subsection{Operators} -\begin{longtable}[l]{ l l p{6cm} } +The standard set of trig functions is redefined in \texttt{physics} to provide automatic braces that behave like \verb|\qty()|. In addition, an optional power argument is provided. The old definition of each trig function is stored in a long form version as in \verb|\sin| $\rightarrow$ \verb|\sine|, \verb|\cos| $\rightarrow$ \verb|\cosine|, and so on. +\begin{longtable}[l]{ l l p{8cm} } +\multicolumn{3}{l}{Trig redefinitions:} \\ +\verb|\sin| & \verb|\sin(x)| $\rightarrow \sin(x)$ & automatic braces; old \verb|\sin| renamed \verb|\sine| \\ +& \verb|\sin[2](x)| $\rightarrow \sin[2](x)$ & optional power \\ +\verb|\cos| & \verb|\cos(x)| $\rightarrow \cos(x)$ & works with all trig functions \\ +\verb|\tan| & \verb|\tan x| $\rightarrow \tan x$ & can still use without an argument \\ +$\quad\vdots$ & & $\qquad\vdots$ \\ +\multicolumn{3}{l}{New operators:} \\ \verb|\tr| & \verb|\tr\rho| $\rightarrow \tr\rho$ & trace \\ \verb|\rank| & \verb|\rank M| $\rightarrow \rank M$ & matrix rank \\ \verb|\erf| & \verb|\erf(x)|$\rightarrow \erf(x)$ & Gauss error function @@ -98,44 +120,37 @@ General text: & & \\ \begin{longtable}[l]{ l l } Special macros: & \\ \verb|\qcomma| or \verb|\qc| $\rightarrow ,$\Vtextvisiblespace[1em] & right \verb|\quad| only \\ +\verb|\qcc| $\rightarrow$\Vtextvisiblespace[1em]$\text{c.c.}$\Vtextvisiblespace[1em] & complex conjugate; left and right \verb|\quad| unless starred \verb|\qcc*| $\rightarrow \text{c.c.}$\Vtextvisiblespace[1em] \\ \verb|\qif| $\rightarrow$\Vtextvisiblespace[1em]$\text{if}$\Vtextvisiblespace[1em] & left and right \verb|\quad| unless starred \verb|\qif*| $\rightarrow \text{if}$\Vtextvisiblespace[1em] \\ -\verb|\qthen| & similar to \verb|\qif| \\ -\verb|\qelse| & $\quad\quad\cdot$ \\ -\verb|\qotherwise| & $\quad\quad\cdot$ \\ -\verb|\qunless| & $\quad\quad\cdot$ \\ -\verb|\qgiven| & \\ -\verb|\qusing| & \\ -\verb|\qfor| & \\ -\verb|\qall| & \\ -\verb|\qeven| & \\ -\verb|\qodd| & \\ -\verb|\qinteger| & \\ -\verb|\qand| & \\ -\verb|\qor| & \\ -\verb|\qas| & \\ -\verb|\qin| & \\ -\verb|\qcc| $\rightarrow \qcc$ & complex conjugate \\ +\end{longtable} +\begin{longtable}[l]{ l } +Similar to \verb|\qif|: \\ +\verb|\qthen|, \verb|\qelse|, \verb|\qotherwise|, \verb|\qunless|, \verb|\qgiven|, \verb|\qusing|, \verb|\qassume|, \verb|\qsince|, \\ +\verb|\qlet|, \verb|\qfor|, \verb|\qall|, \verb|\qeven|, \verb|\qodd|, \verb|\qinteger|, \verb|\qand|, \verb|\qor|, \verb|\qas|, \verb|\qin| \end{longtable} \subsection{Derivatives} \begin{longtable}[l]{ l l p{6cm} } \verb|\differential| & \verb|\dd| $\rightarrow \dd$ & \\ -& \verb|\dd x| $\rightarrow \dd x$ & no extra spacing for braces, fractions \\ +& \verb|\dd x| $\rightarrow \dd x$ & no spacing; use in braces, fractions \\ & \verb|\dd{x}| $\rightarrow \dd{x}$\!\textvisiblespace & proper spacing for typical equations \\ & \verb|\dd[3]{x}| $\rightarrow \dd[3]{x}$\!\textvisiblespace & optional power \\ -& \verb|\dd*{\cos\theta}| $\rightarrow \dd*{\cos\theta}$ & long-argument; automatic braces \\ -\verb|\derivative| & \verb|\dv{}{x}| $\displaystyle\rightarrow \dv{}{x}$ & \\ -& \verb|\dv{f}{x}| $\displaystyle\rightarrow \dv{f}{x}$ & \\ +& \verb|\dd(\cos\theta)| $\rightarrow \dd(\cos\theta)$ & long-form; automatic braces \\ +\verb|\derivative| & \verb|\dv{x}| $\displaystyle\rightarrow \dv{x}$ & one argument \\ +& \verb|\dv{f}{x}| $\displaystyle\rightarrow \dv{f}{x}$ & two arguments \\ & \verb|\dv[n]{f}{x}| $\displaystyle\rightarrow \dv[n]{f}{x}$ & optional power \\ -& \verb|\dv[n]{f}{x}[x=0]| $\displaystyle\rightarrow \dv[n]{f}{x}[x=0]$ & optional evaluation point \\ -\verb|\partialderivative| & \verb|\pderivative{}{x}| $\displaystyle\rightarrow \pderivative{}{x}$ & alternate name \\ -& \verb|\pdv{}{x}| $\displaystyle\rightarrow \pdv{}{x}$ & shorthand name \\ -& \verb|\pdv{f}{x}| $\displaystyle\rightarrow \pdv{f}{x}$ & \\ +& \verb|\dv{x}(x^2+x)| $\displaystyle\rightarrow \dv{x}(x^2+x)$ & long-form; automatic braces, spacing \\ +\verb|\partialderivative| & \verb|\pderivative{x}| $\displaystyle\rightarrow \pderivative{x}$ & alternate name \\ +& \verb|\pdv{x}| $\displaystyle\rightarrow \pdv{x}$ & shorthand name \\ +& \verb|\pdv{f}{x}| $\displaystyle\rightarrow \pdv{f}{x}$ & two arguments \\ & \verb|\pdv[n]{f}{x}| $\displaystyle\rightarrow \pdv[n]{f}{x}$ & optional power \\ -& \verb|\pdv[n]{f}{x}[x=0]| $\displaystyle\rightarrow \pdv[n]{f}{x}[x=0]$ & optional evaluation point \\ +& \verb|\pdv{x}(x+y)| $\displaystyle\rightarrow \pdv{x}(x+y)$ & long-form \\ & \verb|\pdv{f}{x}{y}| $\displaystyle\rightarrow \pdv{f}{x}{y}$ & mixed partial \\ -& \verb|\pdv*{f}{x}| $\rightarrow \pdv*{f}{x}$ & shorthand form \\ -& \verb|\pdv*{f}{x}{y}| $\rightarrow \pdv*{f}{x}{y}$ & mixed partial shorthand +\verb|\variation| & \verb|\var{F[g(x)]}| $\rightarrow \var{F[g(x)]}$ & functional variation (works like \verb|\dd|) \\ +& \verb|\var(E-TS)| $\rightarrow \var(E-TS)$ & long-form \\ +\verb|\functionalderivative| & \verb|\fdv{g}| $\displaystyle\rightarrow \fdv{g}$ & functional derivative (works like \verb|\dv|) \\ +& \verb|\fdv{F}{g}| $\displaystyle\rightarrow \fdv{F}{g}$ & \\ +& \verb|\fdv{V}(E-TS)| $\displaystyle\rightarrow \fdv{V}(E-TS)$ & long-form \end{longtable} \subsection{Dirac bra-ket notation} @@ -173,5 +188,4 @@ allowing the user to type out complicated quantum mechanical expressions without \verb|\matrixelement| & \verb|\matrixel{n}{A}{m}| $\rightarrow \matrixel{n}{A}{m}$ & requires all three arguments \\ & \verb|\mel{n}{A}{m}| $\rightarrow \mel{n}{A}{m}$ & shorthand name \\ \end{longtable} - \end{document}
\ No newline at end of file diff --git a/Master/texmf-dist/tex/latex/physics/physics.sty b/Master/texmf-dist/tex/latex/physics/physics.sty index 30205692737..36c23bf66bc 100644 --- a/Master/texmf-dist/tex/latex/physics/physics.sty +++ b/Master/texmf-dist/tex/latex/physics/physics.sty @@ -1,5 +1,5 @@ \ProvidesPackage{physics} -% physics 1.10 +% physics 1.20 % This material is subject to the LaTeX Project Public License. % See http://www.ctan.org/tex-archive/help/Catalogue/licenses.lppl.html for the details of that license. % @@ -9,41 +9,12 @@ % The commands defined in this package will silently overwrite previous commands with the same name, if such commands exist % % Created by Sergio C. de la Barrera -% Updated on October 10, 2012 -% Uploaded on October 11, 2012 +% Updated on October 31, 2012 +% Uploaded on November 1, 2012 \RequirePackage{xparse} \RequirePackage{amsmath} -% Vector notation -\DeclareDocumentCommand\vectorbold{ s m }{\IfBooleanTF{#1}{\boldsymbol{#2}}{\mathbf{#2}}} % Vector bold [star for Greek and italic Roman] -\DeclareDocumentCommand\vb{}{\vectorbold} % Shorthand for \vectorbold - -\DeclareDocumentCommand\vectorarrow{ s m }{\IfBooleanTF{#1}{\vec{\boldsymbol{#2}}}{\vec{\mathbf{#2}}}} % Vector arrow + bold [star for Greek and italic Roman] -\DeclareDocumentCommand\va{}{\vectorarrow} % Shorthand for \vectorarrow - -\DeclareDocumentCommand\vectorunit{ s m }{\IfBooleanTF{#1}{\boldsymbol{\hat{#2}}}{\mathbf{\hat{#2}}}} % Unit vector [star for Greek and italic Roman] -\DeclareDocumentCommand\vu{}{\vectorunit} % Shorthand for \vectorunit - -\DeclareDocumentCommand\dotproduct{}{\boldsymbol\cdot} % Vector dot product symbol -\DeclareDocumentCommand\vdot{}{\dotproduct} % Shorthand for \dotproduct [note that the command sequence \dp is protected] - -\DeclareDocumentCommand\crossproduct{}{\boldsymbol\times} % Vector cross product symbol -\DeclareDocumentCommand\cross{}{\crossproduct} % Shorthand for \crossproduct -\DeclareDocumentCommand\cp{}{\crossproduct} % Shorthand for \crossproduct - -\DeclareDocumentCommand\vnabla{}{\boldsymbol\nabla} % Vector bold \nabla symbol -\DeclareDocumentCommand\gradient{ s g }{\IfNoValueTF{#2}{\vnabla}{\IfBooleanTF{#1}{\vnabla\!\left(#2\right)}{\vnabla #2}}} % Gradient [star for parentheses] -\DeclareDocumentCommand\grad{}{\gradient} % Shorthand for \gradient - -\DeclareDocumentCommand\divergence{ s g }{\IfNoValueTF{#2}{\vnabla \vdot}{\IfBooleanTF{#1}{\vnabla \vdot \left(#2\right)}{\vnabla \vdot #2}}} % Divergence [star for parentheses] -\let\divisionsymbol\div % Rename \div [division symbol] in order to free up control sequence for \divergence -\let\div\relax -\DeclareDocumentCommand\div{}{\divergence} % Shorthand for \divergence - -\DeclareDocumentCommand\curl{ s g }{\IfNoValueTF{#2}{\vnabla \cross}{\IfBooleanTF{#1}{\vnabla \cross \left(#2\right)}{\vnabla \cross #2}}} % Curl [star for parentheses] -\DeclareDocumentCommand\laplacian{ s g }{\IfNoValueTF{#2}{\nabla^2}{\IfBooleanTF{#1}{\nabla^2\!\left(#2\right)}{\nabla^2 #2}}} % Laplacian [star for parentheses] - % Brackets and braces \DeclareDocumentCommand\quantity{ t\big t\Big t\bigg t\Bigg g o d() d|| }{ % Flexible automatic bracketing of an expression in () or [] or {} or || % Handles manual override of sizing @@ -64,11 +35,11 @@ {()} {\ltag\lvert{#8}\rtag\rvert} } - {\ltag(#7\rtag) \IfNoValueTF{#8}{}{#8}} + {\ltag(#7\rtag) \IfNoValueTF{#8}{}{|#8|}} } - {\ltag[#6\rtag] \IfNoValueTF{#7}{}{[#7]} \IfNoValueTF{#8}{}{#8}} + {\ltag[#6\rtag] \IfNoValueTF{#7}{}{(#7)} \IfNoValueTF{#8}{}{|#8|}} } - {\ltag\lbrace#5\rtag\rbrace \IfNoValueTF{#6}{}{|#6|} \IfNoValueTF{#7}{}{[#7]} \IfNoValueTF{#8}{}{#8}} + {\ltag\lbrace#5\rtag\rbrace \IfNoValueTF{#6}{}{[#6]} \IfNoValueTF{#7}{}{(#7)} \IfNoValueTF{#8}{}{|#8|}} } \DeclareDocumentCommand\qty{}{\quantity} % Shorthand for \quantity @@ -76,15 +47,40 @@ \IfBooleanTF{#1}{\quantity\big|#5|}{ \IfBooleanTF{#2}{\quantity\Big|#5|}{ \IfBooleanTF{#3}{\quantity\bigg|#5|}{ - \IfBooleanTF{#4}{\let\sizetag\Bigg}{\quantity|#5|} + \IfBooleanTF{#4}{\quantity\Bigg|#5|}{\quantity|#5|} } } } } \DeclareDocumentCommand\abs{}{\absolutevalue} % Shorthand for \absolutevalue -\DeclareDocumentCommand\norm{m}{{\left\lVert{#1}\right\rVert}} % Norm -\DeclareDocumentCommand\order{g}{{\mathcal{O}\IfNoValueTF{#1}{}{\!\left(#1\right)}}} % Order symbol -> O(x^2) +\DeclareDocumentCommand\norm{ t\big t\Big t\bigg t\Bigg m }{ % Norm + \IfBooleanTF{#1}{\bigl\lVert{#5}\bigr\rVert}{ + \IfBooleanTF{#2}{\Bigl\lVert{#5}\Bigr\rVert}{ + \IfBooleanTF{#3}{\biggl\lVert{#5}\biggr\rVert}{ + \IfBooleanTF{#4}{\Biggl\lVert{#5}\Biggr\rVert}{\left\lVert{#5}\right\rVert} + } + } + } +} +\DeclareDocumentCommand\order{ t\big t\Big t\bigg t\Bigg m }{ % Order symbol -> O(x^2) + \IfBooleanTF{#1}{\mathcal{O}\IfNoValueTF{#5}{}{\!\quantity\big(#5)}}{ + \IfBooleanTF{#2}{\mathcal{O}\IfNoValueTF{#5}{}{\!\quantity\Big(#5)}}{ + \IfBooleanTF{#3}{\mathcal{O}\IfNoValueTF{#5}{}{\!\quantity\bigg(#5)}}{ + \IfBooleanTF{#4}{\mathcal{O}\IfNoValueTF{#5}{}{\!\quantity\Bigg(#5)}}{\mathcal{O}\IfNoValueTF{#5}{}{\!\quantity(#5)}} + } + } + } +} +\DeclareDocumentCommand\evaluated{ g d() }{ % Vertical evaluation bar or parentheses + \IfNoValueTF{#1}{ + \IfNoValueTF{#2} + {\rvert} + {\quantity(#2)} + } + {\left.{#1}\right\rvert \IfNoValueTF{#2}{}{(#2)}} + } +\DeclareDocumentCommand\eval{}{\evaluated} % Shorthand for evaluated \DeclareDocumentCommand\poissonbracket{ m m }{{\left\lbrace{#1},{#2}\right\rbrace}} % Poisson bracket [same as anti-commutator] \DeclareDocumentCommand\pb{}{\poissonbracket} % Shorthand for \poissonbracket @@ -96,7 +92,96 @@ \DeclareDocumentCommand\acommutator{}{\anticommutator} % Shorthand for \anticommutator \DeclareDocumentCommand\acomm{}{\anticommutator} % Shorthand for \anticommutator +% Vector notation +\DeclareDocumentCommand\vectorbold{ s m }{\IfBooleanTF{#1}{\boldsymbol{#2}}{\mathbf{#2}}} % Vector bold [star for Greek and italic Roman] +\DeclareDocumentCommand\vb{}{\vectorbold} % Shorthand for \vectorbold + +\DeclareDocumentCommand\vectorarrow{ s m }{\IfBooleanTF{#1}{\vec{\boldsymbol{#2}}}{\vec{\mathbf{#2}}}} % Vector arrow + bold [star for Greek and italic Roman] +\DeclareDocumentCommand\va{}{\vectorarrow} % Shorthand for \vectorarrow + +\DeclareDocumentCommand\vectorunit{ s m }{\IfBooleanTF{#1}{\boldsymbol{\hat{#2}}}{\mathbf{\hat{#2}}}} % Unit vector [star for Greek and italic Roman] +\DeclareDocumentCommand\vu{}{\vectorunit} % Shorthand for \vectorunit + +\DeclareDocumentCommand\dotproduct{}{\boldsymbol\cdot} % Vector dot product symbol +\DeclareDocumentCommand\vdot{}{\dotproduct} % Shorthand for \dotproduct [note that the command sequence \dp is protected] + +\DeclareDocumentCommand\crossproduct{}{\boldsymbol\times} % Vector cross product symbol +\DeclareDocumentCommand\cross{}{\crossproduct} % Shorthand for \crossproduct +\DeclareDocumentCommand\cp{}{\crossproduct} % Shorthand for \crossproduct + +\DeclareDocumentCommand\vnabla{}{\boldsymbol\nabla} % Vector bold \nabla symbol +\DeclareDocumentCommand\gradient{ g o d() }{ % Gradient + \IfNoValueTF{#1}{ + \IfNoValueTF{#2}{ + \IfNoValueTF{#3}{\vnabla}{\vnabla\!\quantity(#3)} + } + {\vnabla\!\quantity[#2] \IfNoValueTF{#3}{}{(#3)}} + } + {\vnabla #1 \IfNoValueTF{#2}{}{[#2]} \IfNoValueTF{#3}{}{(#3)}} + } +\DeclareDocumentCommand\grad{}{\gradient} % Shorthand for \gradient + +\DeclareDocumentCommand\divergence{ g o d() }{ % Divergence + \IfNoValueTF{#1}{ + \IfNoValueTF{#2}{ + \IfNoValueTF{#3}{\vnabla \vdot}{\vnabla \vdot \quantity(#3)} + } + {\vnabla \vdot \quantity[#2] \IfNoValueTF{#3}{}{(#3)}} + } + {\vnabla \vdot #1 \IfNoValueTF{#2}{}{[#2]} \IfNoValueTF{#3}{}{(#3)}} + } +\let\divisionsymbol\div % Rename \div [division symbol] in order to free up control sequence for \divergence +\let\div\relax +\DeclareDocumentCommand\div{}{\divergence} % Shorthand for \divergence + +\DeclareDocumentCommand\curl{ g o d() }{ % Curl + \IfNoValueTF{#1}{ + \IfNoValueTF{#2}{ + \IfNoValueTF{#3}{\vnabla \cross}{\vnabla \cross \quantity(#3)} + } + {\vnabla \cross \quantity[#2] \IfNoValueTF{#3}{}{(#3)}} + } + {\vnabla \cross #1 \IfNoValueTF{#2}{}{[#2]} \IfNoValueTF{#3}{}{(#3)}} + } + +\DeclareDocumentCommand\laplacian{ g o d() }{ % Laplacian + \IfNoValueTF{#1}{ + \IfNoValueTF{#2}{ + \IfNoValueTF{#3}{\nabla^2}{\nabla^2\!\quantity(#3)} + } + {\nabla^2\!\quantity[#2] \IfNoValueTF{#3}{}{(#3)}} + } + {\nabla^2 #1 \IfNoValueTF{#2}{}{[#2]} \IfNoValueTF{#3}{}{(#3)}} + } + % Operators +\let\sine\sin +\let\cosine\cos +\let\tangent\tan +\let\cosecant\csc +\let\secant\sec +\let\cotangent\cot +\let\arcsine\arcsin +\let\arccosine\arccos +\let\arctangent\arctan +\let\hypsine\sinh +\let\hypcosine\cosh +\let\hyptangent\tanh +\let\hypcotangent\coth +\DeclareDocumentCommand\sin{ o d() }{\IfNoValueTF{#2}{\sine \IfNoValueTF{#1}{}{[#1]}}{\sine \IfNoValueTF{#1}{}{^{#1}} \!\quantity(#2)}} +\DeclareDocumentCommand\cos{ o d() }{\IfNoValueTF{#2}{\cosine \IfNoValueTF{#1}{}{[#1]}}{\cosine \IfNoValueTF{#1}{}{^{#1}} \!\quantity(#2)}} +\DeclareDocumentCommand\tan{ o d() }{\IfNoValueTF{#2}{\tangent \IfNoValueTF{#1}{}{[#1]}}{\tangent \IfNoValueTF{#1}{}{^{#1}} \!\quantity(#2)}} +\DeclareDocumentCommand\csc{ o d() }{\IfNoValueTF{#2}{\cosecant \IfNoValueTF{#1}{}{[#1]}}{\cosecant \IfNoValueTF{#1}{}{^{#1}} \!\quantity(#2)}} +\DeclareDocumentCommand\sec{ o d() }{\IfNoValueTF{#2}{\secant \IfNoValueTF{#1}{}{[#1]}}{\secant \IfNoValueTF{#1}{}{^{#1}} \!\quantity(#2)}} +\DeclareDocumentCommand\cot{ o d() }{\IfNoValueTF{#2}{\cotangent \IfNoValueTF{#1}{}{[#1]}}{\cotangent \IfNoValueTF{#1}{}{^{#1}} \!\quantity(#2)}} +\DeclareDocumentCommand\arcsin{ o d() }{\IfNoValueTF{#2}{\arcsine \IfNoValueTF{#1}{}{[#1]}}{\arcsine \IfNoValueTF{#1}{}{^{#1}} \!\quantity(#2)}} +\DeclareDocumentCommand\arccos{ o d() }{\IfNoValueTF{#2}{\arccosine \IfNoValueTF{#1}{}{[#1]}}{\arccosine \IfNoValueTF{#1}{}{^{#1}} \!\quantity(#2)}} +\DeclareDocumentCommand\arctan{ o d() }{\IfNoValueTF{#2}{\arctangent \IfNoValueTF{#1}{}{[#1]}}{\arctangent \IfNoValueTF{#1}{}{^{#1}} \!\quantity(#2)}} +\DeclareDocumentCommand\sinh{ o d() }{\IfNoValueTF{#2}{\hypsine \IfNoValueTF{#1}{}{[#1]}}{\hypsine \IfNoValueTF{#1}{}{^{#1}} \!\quantity(#2)}} +\DeclareDocumentCommand\cosh{ o d() }{\IfNoValueTF{#2}{\hypcosine \IfNoValueTF{#1}{}{[#1]}}{\hypcosine \IfNoValueTF{#1}{}{^{#1}} \!\quantity(#2)}} +\DeclareDocumentCommand\tanh{ o d() }{\IfNoValueTF{#2}{\hyptangent \IfNoValueTF{#1}{}{[#1]}}{\hyptangent \IfNoValueTF{#1}{}{^{#1}} \!\quantity(#2)}} +\DeclareDocumentCommand\coth{ o d() }{\IfNoValueTF{#2}{\hypcotangent \IfNoValueTF{#1}{}{[#1]}}{\hypcotangent \IfNoValueTF{#1}{}{^{#1}} \!\quantity(#2)}} + \DeclareMathOperator{\tr}{tr} % Trace and partial trace [w/subscript] \DeclareMathOperator{\rank}{rank} % Rank of a matrix \DeclareMathOperator{\erf}{erf} % Gauss error function @@ -115,6 +200,9 @@ \DeclareDocumentCommand\qunless{s}{\IfBooleanTF{#1}{}{\quad}\text{unless}\quad} \DeclareDocumentCommand\qgiven{s}{\IfBooleanTF{#1}{}{\quad}\text{given}\quad} \DeclareDocumentCommand\qusing{s}{\IfBooleanTF{#1}{}{\quad}\text{using}\quad} +\DeclareDocumentCommand\qassume{s}{\IfBooleanTF{#1}{}{\quad}\text{assume}\quad} +\DeclareDocumentCommand\qsince{s}{\IfBooleanTF{#1}{}{\quad}\text{since}\quad} +\DeclareDocumentCommand\qlet{s}{\IfBooleanTF{#1}{}{\quad}\text{let}\quad} \DeclareDocumentCommand\qfor{s}{\IfBooleanTF{#1}{}{\quad}\text{for}\quad} \DeclareDocumentCommand\qall{s}{\IfBooleanTF{#1}{}{\quad}\text{all}\quad} \DeclareDocumentCommand\qeven{s}{\IfBooleanTF{#1}{}{\quad}\text{even}\quad} @@ -127,48 +215,80 @@ \DeclareDocumentCommand\qcc{s}{\IfBooleanTF{#1}{}{\quad}\text{c.c.}\quad} % Derivatives -\DeclareDocumentCommand\differential{ s o g }{{ % Differential 'd' - % s: star for parentheses as in d(cos x) +\DeclareDocumentCommand\differential{ o g d() }{ % Differential 'd' % o: optional n for nth differential % g: optional argument for readability and to control spacing - \IfNoValueTF{#3} - {\mathrm{d}\IfNoValueTF{#2}{}{^{#2}}} - {\IfBooleanTF{#1} - {\mathrm{d}\IfNoValueTF{#2}{}{^{#2}}\!\left(#3\right)} - {\mathrm{d}\IfNoValueTF{#2}{}{^{#2}} #3 \,} + % d: long-form as in d(cos x) + \IfNoValueTF{#2}{ + \IfNoValueTF{#3} + {\mathrm{d}\IfNoValueTF{#1}{}{^{#1}}} + {\mathrm{d}\IfNoValueTF{#1}{}{^{#1}}\!\quantity(#3)} } - }} + {\mathrm{d}\IfNoValueTF{#1}{}{^{#1}} #2 \,} + } \DeclareDocumentCommand\dd{}{\differential} % Shorthand for \differential -\DeclareDocumentCommand\derivative{ o m m o }{{ % Total derivatives +\DeclareDocumentCommand\derivative{ o m g d() }{ % Total derivative % o: optional n for nth derivative - % m: mandatory (f in df/dx) % m: mandatory (x in df/dx) - % o: optional evaluation point - \IfNoValueTF{#4}{}{\left.}\frac{\dd \IfNoValueTF{#1}{}{^{#1}} #2}{\dd #3\IfNoValueTF{#1}{}{^{#1}}}\IfNoValueTF{#4}{}{\right\rvert_{#4}} - }} + % g: optional (f in df/dx) + % d: long-form d/dx(...) + \IfNoValueTF{#3}{ + \IfNoValueTF{#4} + {\frac{\dd \IfNoValueTF{#1}{}{^{#1}}}{\dd #2\IfNoValueTF{#1}{}{^{#1}}}} + {\frac{\dd \IfNoValueTF{#1}{}{^{#1}}}{\dd #2\IfNoValueTF{#1}{}{^{#1}}} \!\quantity(#4)} + } + {\frac{\dd \IfNoValueTF{#1}{}{^{#1}} #2}{\dd #3\IfNoValueTF{#1}{}{^{#1}}}} + } \DeclareDocumentCommand\dv{}{\derivative} % Shorthand for \derivative -\DeclareDocumentCommand\partialderivative{ s o m m g o }{ % Partial derivatives - % s: star for shorthand curly-d notation [default is Leibniz mode] - % o: optional n for nth derivative [Leibniz mode] - % m: mandatory (f in df/dx) [both modes] - % m: mandatory (x in df/dx) [both modes] - % g: optional (y in d^2f/dxdy) [both modes] - % o: optional evaluation point [Leibniz mode] - \IfNoValueTF{#5}{ - \IfBooleanTF{#1} - {\partial_{#4} {#3}} - {\IfNoValueTF{#6}{}{\left.}\frac{\partial\IfNoValueTF{#2}{}{^{#2}} #3}{\partial #4\IfNoValueTF{#2}{}{^{#2}}}\IfNoValueTF{#6}{}{\right\rvert_{#6}}} +\DeclareDocumentCommand\partialderivative{ o m g g d() }{ % Partial derivative + % o: optional n for nth derivative + % m: mandatory (x in df/dx) + % g: optional (f in df/dx) + % g: optional (y in d^2f/dxdy) + % d: long-form d/dx(...) + \IfNoValueTF{#3}{ + \IfNoValueTF{#5} + {\frac{\partial \IfNoValueTF{#1}{}{^{#1}}}{\partial #2\IfNoValueTF{#1}{}{^{#1}}}} + {\frac{\partial \IfNoValueTF{#1}{}{^{#1}}}{\partial #2\IfNoValueTF{#1}{}{^{#1}}} \!\quantity(#5)} }{ - \IfBooleanTF{#1} - {\partial_{{#4}{#5}} {#3}} - {\IfNoValueTF{#6}{}{\left.}\frac{\partial^2 #3}{\partial #4 \partial #5}\IfNoValueTF{#6}{}{\right\rvert_{#6}}} + \IfNoValueTF{#4} + {\frac{\partial \IfNoValueTF{#1}{}{^{#1}} #2}{\partial #3\IfNoValueTF{#1}{}{^{#1}}}} + {\frac{\partial^2 #2}{\partial #3 \partial #4}} } } \DeclareDocumentCommand\pderivative{}{\partialderivative} % Shorthand for \partialderivative \DeclareDocumentCommand\pdv{}{\partialderivative} % Shorthand for \partialderivative +\DeclareDocumentCommand\variation{ o g d() }{ % Functional variation + % o: optional n for nth differential + % g: optional argument for readability and to control spacing + % d: long-form as in d(F(g)) + \IfNoValueTF{#2}{ + \IfNoValueTF{#3} + {\delta \IfNoValueTF{#1}{}{^{#1}}} + {\delta \IfNoValueTF{#1}{}{^{#1}}\!\quantity(#3)} + } + {\delta \IfNoValueTF{#1}{}{^{#1}} #2 \,} + } +\DeclareDocumentCommand\var{}{\variation} % Shorthand for \variation + +\DeclareDocumentCommand\functionalderivative{ o m g d() }{ % Functional derivative + % o: optional n for nth derivative + % m: mandatory (g in dF/dg) + % g: optional (F in dF/dg) + % d: long-form d/dx(...) + \IfNoValueTF{#3}{ + \IfNoValueTF{#4} + {\frac{\variation \IfNoValueTF{#1}{}{^{#1}}}{\variation #2\IfNoValueTF{#1}{}{^{#1}}}} + {\frac{\variation \IfNoValueTF{#1}{}{^{#1}}}{\variation #2\IfNoValueTF{#1}{}{^{#1}}} \!\quantity(#4)} + } + {\frac{\variation \IfNoValueTF{#1}{}{^{#1}} #2}{\variation #3\IfNoValueTF{#1}{}{^{#1}}}} + } +\DeclareDocumentCommand\fderivative{}{\functionalderivative} % Shorthand for \functionalderivative +\DeclareDocumentCommand\fdv{}{\functionalderivative} % Shorthand for \functionalderivative + % Bra-ket notation \DeclareDocumentCommand\bra{ s m t\ket{g} }{ % Bra \IfBooleanTF{#1} @@ -219,6 +339,9 @@ \DeclareDocumentCommand\matrixelement{ m m m }{\left\langle{#1}\middle\vert{#2}\middle\vert{#3}\right\rangle} % Matrix element \DeclareDocumentCommand\matrixel{}{\matrixelement} % Shorthand for \matrixelement \DeclareDocumentCommand\mel{}{\matrixelement} % Shorthand for \matrixelement + +% Misc +\DeclareDocumentCommand\varE{}{\mathcal{E}} % Curly 'E' \DeclareDocumentCommand\homework{}{ % You can try it \ensuremath{ \div{\vb{E}}=\frac{\rho}{\epsilon_0} \qc |