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Diffstat (limited to 'Master/texmf-dist/doc/latex/hepthesis/example/abmath.sty')
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diff --git a/Master/texmf-dist/doc/latex/hepthesis/example/abmath.sty b/Master/texmf-dist/doc/latex/hepthesis/example/abmath.sty new file mode 100644 index 00000000000..fc8841e6386 --- /dev/null +++ b/Master/texmf-dist/doc/latex/hepthesis/example/abmath.sty @@ -0,0 +1,267 @@ +\ProvidesPackage{abmath}[2006/04/12] +\RequirePackage{maybemath} +\RequirePackage{braket} +\RequirePackage{xspace} + +%% -------------------------------------------------------------- + +\DeclareRobustCommand{\mymath}[1]{\ensuremath{\maybebmsf{#1}}} +\DeclareRobustCommand{\MathUpright}[1]{\mymath{\mathrm{#1}}} +\DeclareRobustCommand{\MathText}[1]{\ensuremath{\text{#1}}} +\DeclareRobustCommand{\RHS}{\MathText{right hand side}\xspace} +\DeclareRobustCommand{\LHS}{\MathText{left hand side}\xspace} + +%% Groupings +\DeclareRobustCommand{\parenths}[1]{\mymath{\left({#1}\right)}} +\DeclareRobustCommand{\braces}[1]{\mymath{\left\{{#1}\right\}}} +\DeclareRobustCommand{\angles}[1]{\mymath{\left\langle{#1}\right\rangle}} +\DeclareRobustCommand{\sqbracs}[1]{\mymath{\left[{#1}\right]}} +\DeclareRobustCommand{\mods}[1]{\mymath{\left\lvert{#1}\right\rvert}} +\DeclareRobustCommand{\modsq}[1]{\mymath{\mods{#1}^2}} +\DeclareRobustCommand{\dblmods}[1]{\mymath{\left\lVert{#1}\right\rVert}} +% legacy names +\DeclareRobustCommand{\bigparenths}[1]{\parenths{#1}} +\DeclareRobustCommand{\bigbraces}[1]{\braces{#1}} +\DeclareRobustCommand{\bigangles}[1]{\angles{#1}} +\DeclareRobustCommand{\bigsqbracs}[1]{\sqbracs{#1}} +\DeclareRobustCommand{\bigmods}[1]{\mods{#1}} +\DeclareRobustCommand{\bigmodsq}[1]{\modsq{#1}} +\DeclareRobustCommand{\bigdblmods}[1]{\dblmods{#1}} + +%% Misc +\DeclareMathOperator{\diag}{diag} +\DeclareMathOperator{\sign}{sgn} +\DeclareMathOperator{\li}{li} +\DeclareMathOperator{\trace}{Tr} +\DeclareRobustCommand{\expparenths}[1]{\mymath{\exp{\!\parenths{#1}}}} +\DeclareRobustCommand{\expbraces}[1]{\mymath{\exp{\!\braces{#1}}}} +\DeclareRobustCommand{\expOf}[1]{\expparenths{#1}} % generalise to have braces specifier 1st arg +\DeclareRobustCommand{\eexp}[1]{\mymath{e^{#1}}} +\DeclareRobustCommand{\plusquad}{\mymath{\oplus}} +\DeclareRobustCommand{\logOf}[1]{\log\!\parenths{#1}} +\DeclareRobustCommand{\lnOf}[1]{\ln\!\parenths{#1}} +\DeclareRobustCommand{\liOf}[1]{\li\!\parenths{#1}} +\DeclareRobustCommand{\signOf}[1]{\sign\!\parenths{#1}} +\DeclareRobustCommand{\diagOf}[1]{\diag\!\parenths{#1}} +\DeclareRobustCommand{\traceOf}[1]{\trace\!\parenths{#1}} + +%% For use outside math mode +\let\@oldpm\pm +\DeclareRobustCommand{\pm}{\mymath{\,\@oldpm\,}} +\let\@oldmp\mp +\DeclareRobustCommand{\mp}{\mymath{\,\@oldmp\,}} +\let\@oldVert\vert +\DeclareRobustCommand{\vert}{\mymath{\@oldVert\,}} +\let\@oldTo\to +\DeclareRobustCommand{\to}{\mymath{\,\@oldTo\,}} +\let\@oldsim\sim +\DeclareRobustCommand{\sim}{\mymath{\,\@oldsim\,}} +\let\@oldimplies\implies +\DeclareRobustCommand{\implies}{\mymath{\@oldimplies}} +\DeclareRobustCommand{\To}{\mymath{\@oldimplies}} +\let\@oldtimes\times +\DeclareRobustCommand{\times}{\mymath{\,\@oldtimes\,}} +\let\@oldbra\bra +\DeclareRobustCommand{\bra}[1]{\mymath{\@oldbra{#1}}} +\let\@oldket\ket +\DeclareRobustCommand{\ket}[1]{\mymath{\@oldket{#1}}} +\let\@oldbraket\braket +\DeclareRobustCommand{\braket}[1]{\mymath{\@oldbraket{#1}}} + +%% Re-define Greek letters for use outside math mode, too +\let\@Oldalpha\alpha% +\let\@Oldbeta\beta% +\let\@Oldgamma\gamma% +\let\@Olddelta\delta% +\let\@Oldepsilon\epsilon% +\let\@Oldvarepsilon\varepsilon% +\let\@Oldzeta\zeta% +\let\@Oldeta\eta% +\let\@Oldtheta\theta% +\let\@Oldvartheta\vartheta% +\let\@Oldiota\iota% +\let\@Oldkappa\kappa% +\let\@Oldlambda\lambda% +\let\@Oldmu\mu% +\let\@Oldnu\nu% +\let\@Oldxi\xi% +\let\@Oldpi\pi% +\let\@Oldvarpi\varpi% +\let\@Oldrho\rho% +\let\@Oldvarrho\varrho% +\let\@Oldsigma\sigma% +\let\@Oldvarsigma\varsigma% +\let\@Oldtau\tau% +\let\@Oldupsilon\upsilon% +\let\@Oldphi\phi% +\let\@Oldvarphi\varphi% +\let\@Oldchi\chi% +\let\@Oldpsi\psi% +\let\@Oldomega\omega% +\renewcommand{\alpha}{\mymath{\@Oldalpha}\xspace}% +\renewcommand{\beta}{\mymath{\@Oldbeta}\xspace}% +\renewcommand{\gamma}{\mymath{\@Oldgamma}\xspace}% +\renewcommand{\delta}{\mymath{\@Olddelta}\xspace}% +\renewcommand{\epsilon}{\mymath{\@Oldepsilon}\xspace}% +\renewcommand{\varepsilon}{\mymath{\@Oldvarepsilon}\xspace}% +\renewcommand{\zeta}{\mymath{\@Oldzeta}\xspace}% +\renewcommand{\eta}{\mymath{\@Oldeta}\xspace}% +\renewcommand{\theta}{\mymath{\@Oldtheta}\xspace}% +\renewcommand{\vartheta}{\mymath{\@Oldvartheta}\xspace}% +\renewcommand{\iota}{\mymath{\@Oldiota}\xspace}% +\renewcommand{\kappa}{\mymath{\@Oldkappa}\xspace}% +\renewcommand{\lambda}{\mymath{\@Oldlambda}\xspace}% +\renewcommand{\mu}{\mymath{\@Oldmu}\xspace}% +\renewcommand{\nu}{\mymath{\@Oldnu}\xspace}% +\renewcommand{\xi}{\mymath{\@Oldxi}\xspace}% +\renewcommand{\pi}{\mymath{\@Oldpi}\xspace}% +\renewcommand{\varpi}{\mymath{\@Oldvarpi}\xspace}% +\renewcommand{\rho}{\mymath{\@Oldrho}\xspace}% +\renewcommand{\varrho}{\mymath{\@Oldvarrho}\xspace}% +\renewcommand{\sigma}{\mymath{\@Oldsigma}\xspace}% +\renewcommand{\varsigma}{\mymath{\@Oldvarsigma}\xspace}% +\renewcommand{\tau}{\mymath{\@Oldtau}\xspace}% +\renewcommand{\upsilon}{\mymath{\@Oldupsilon}\xspace}% +\renewcommand{\phi}{\mymath{\@Oldphi}\xspace}% +\renewcommand{\varphi}{\mymath{\@Oldvarphi}\xspace}% +\renewcommand{\chi}{\mymath{\@Oldchi}\xspace}% +\renewcommand{\psi}{\mymath{\@Oldpsi}\xspace}% +\renewcommand{\omega}{\mymath{\@Oldomega}\xspace}% + +%% Commands +\DeclareRobustCommand{\isabout}{\sim\,} +\DeclareRobustCommand{\isAbout}{\isabout} +\DeclareRobustCommand{\about}{\mymath{\@oldsim\!\,}} +\DeclareRobustCommand{\goesto}{\mymath{ \, \Rightarrow \, }} +\DeclareRobustCommand{\isdefined}{ \equiv } +\DeclareRobustCommand{\isdefinedas}{ \equiv } +%\DeclareRobustCommand{\expectation}[1]{\mymath{ \mathcal{E}\lbrack#1\rbrack }} +\DeclareRobustCommand{\FT}[1]{\mymath{ \mathcal{FT}\lbrack {#1} \rbrack }} +\DeclareRobustCommand{\LT}[1]{\mymath{ \mathcal{LT}\lbrack {#1} \rbrack }} +\DeclareRobustCommand{\operand}{\mymath{ \bullet }} +\DeclareRobustCommand{\scalesas}{\mymath{ \propto }} +\DeclareRobustCommand{\powerten}[1]{\mymath{ \power{10}{#1} }} + + +%% Parenthetic operations +\DeclareRobustCommand{\ofOrder}[1]{\mymath{ \mathcal{O}\parenths{#1} }} +\DeclareRobustCommand{\orderof}[1]{ \ofOrder{#1} } +\DeclareRobustCommand{\isOfOrder}[1]{\mymath{ \sim \ofOrder{#1} }} +\DeclareRobustCommand{\expectationOf}[1]{\mymath{ \mathscr{E}\bracs{#1} }} +\DeclareRobustCommand{\DeltaOf}[1]{\mymath{ \Delta\!\mspace{2.0mu}{#1} }} +\DeclareRobustCommand{\deltaOf}[1]{\mymath{ \delta\!\mspace{2.0mu}{#1} }} +\DeclareRobustCommand{\argOf}[1]{\mymath{ \arg\!\parenths{#1} }} +\DeclareRobustCommand{\sinOf}[1]{\mymath{ \sin\!\parenths{#1} }} +\DeclareRobustCommand{\cosOf}[1]{\mymath{ \cos\!\parenths{#1} }} +\DeclareRobustCommand{\tanOf}[1]{\mymath{ \tan\!\parenths{#1} }} +\DeclareRobustCommand{\sinhOf}[1]{\mymath{ \sinh\!\parenths{#1} }} +\DeclareRobustCommand{\coshOf}[1]{\mymath{ \cosh\!\parenths{#1} }} +\DeclareRobustCommand{\tanhOf}[1]{\mymath{ \tanh\!\parenths{#1} }} +\DeclareRobustCommand{\arcsinOf}[1]{\mymath{ \arcsin\!\parenths{#1} }} +\DeclareRobustCommand{\arccosOf}[1]{\mymath{ \arccos\!\parenths{#1} }} +\DeclareRobustCommand{\arctanOf}[1]{\mymath{ \arctan\!\parenths{#1} }} +\DeclareRobustCommand{\arcsinhOf}[1]{\mymath{ \arcsinh\!\parenths{#1} }} +\DeclareRobustCommand{\arccoshOf}[1]{\mymath{ \arccosh\!\parenths{#1} }} +\DeclareRobustCommand{\arctanhOf}[1]{\mymath{ \arctanh\!\parenths{#1} }} + +%% Numbers +\DeclareRobustCommand{\nhalfs}[1]{\mymath{\frac{#1}{2}\,}\xspace} +\DeclareRobustCommand{\nthirds}[1]{\mymath{\frac{#1}{3}\,}\xspace} +\DeclareRobustCommand{\nquarters}[1]{\mymath{\frac{#1}{4}\,}\xspace} +\DeclareRobustCommand{\half}{\nhalfs{1}\xspace} +\DeclareRobustCommand{\onethird}{\nthirds{1}\xspace} +\DeclareRobustCommand{\onequarter}{\nquarters{1}\xspace} +\DeclareRobustCommand{\oneover}[1]{\mymath{\frac{1}{#1}}\xspace} +\DeclareRobustCommand{\I}{\mymath{\imath}} +\let\@oldRe\Re +\let\@oldIm\Im +\DeclareRobustCommand{\Im}{\mymath{ \@oldIm{}\mathfrak{m} }\xspace} +\DeclareRobustCommand{\Re}{\mymath{ \@oldRe{}\mathfrak{e}\mspace{3mu} }\xspace} +\DeclareRobustCommand{\ImaginaryPart}[1]{\mymath{ \,\Im\!\,\braces{#1} }\xspace} +\DeclareRobustCommand{\RealPart}[1]{\mymath{ \,\Re\!\braces{#1} }\xspace} +\DeclareRobustCommand{\percent}{\%\xspace} + +%% Groups +\DeclareRobustCommand{\group}[1]{\mymath{\mayberm{#1}}} +\DeclareRobustCommand{\Ugroup}[1]{\group{U}\parenths{#1}} +\DeclareRobustCommand{\SUgroup}[1]{\group{S}\Ugroup{#1}} +\DeclareRobustCommand{\Ogroup}[1]{\group{O}\parenths{#1}} +\DeclareRobustCommand{\SOgroup}[1]{\group{S}\Ogroup{#1}} +\DeclareRobustCommand{\Egroup}[1]{\group{E}_{#1}} +\DeclareRobustCommand{\directsum}{\mymath{\oplus}} +\DeclareRobustCommand{\directprod}{\mymath{\otimes}} +\DeclareRobustCommand{\covers}{\mymath{\supset}} +\DeclareRobustCommand{\exclude}{\mymath{\backslash}} + +%% Physics +\DeclareRobustCommand{\commutator}[2]{\sqbracs{{#1},{#2}}} +\DeclareRobustCommand{\anticommutator}[2]{\braces{{#1},{#2}}} + +%% Tensors +\DeclareRobustCommand{\Kronecker}{\mymath{\delta}\xspace} % have to specify indices separately now +\DeclareRobustCommand{\LeviCivita}{\mymath{\epsilon}\xspace} % have to specify indices separately now + +%% Vectors, tuples and sets +\DeclareRobustCommand{\cross}{\mymath{\times}\xspace} +\DeclareRobustCommand{\bvec}[1]{\mymath{\bm{#1}}\xspace} +\DeclareRobustCommand{\colset}[1]{\mymath{\begin{Bmatrix}#1\end{Bmatrix}}\xspace} +\DeclareRobustCommand{\coltuple}[1]{\mymath{\begin{pmatrix}#1\end{pmatrix}}\xspace} +\DeclareRobustCommand{\colvector}[1]{\mymath{\begin{pmatrix}#1\end{pmatrix}}\xspace} +\DeclareRobustCommand{\colthreevec}[3]{\mymath{\begin{pmatrix}#1\\ #2\\ #3\end{pmatrix}}\xspace} +\DeclareRobustCommand{\rowset}[1]{\braces{#1}\xspace} +\DeclareRobustCommand{\rowtuple}[1]{\parenths{#1}\xspace} +\DeclareRobustCommand{\rowvector}[1]{\parenths{#1}\xspace} +\DeclareRobustCommand{\rowthreevec}[3]{\parenths{{#1}, {#2}, {#3}}\xspace} + +%% Ranges +\DeclareRobustCommand{\rangeSS}[1]{\parenths{#1}\xspace} +\DeclareRobustCommand{\rangeSH}[1]{\left({#1}\right]\xspace} +\DeclareRobustCommand{\rangeHS}[1]{\left[{#1}\right)\xspace} +\DeclareRobustCommand{\rangeHH}[1]{\sqbracs{#1}\xspace} +\DeclareRobustCommand{\softrange}[1]{\rangeSS{#1}} +\DeclareRobustCommand{\hardrange}[1]{\rangeHH{#1}} + +%% Matrix +\DeclareRobustCommand{\boldmatrix}[1]{\mymath{\bm{\mathrm{#1}}}\xspace} +\DeclareRobustCommand{\transposeT}{\MathUpright{T}\,} +\DeclareRobustCommand{\hermitianT}{\dagger} +\DeclareRobustCommand{\twomatrix}[2]{\mymath{\begin{pmatrix}#1\\ #2\end{pmatrix}}\xspace} +\DeclareRobustCommand{\threematrix}[3]{\mymath{\begin{pmatrix}#1\\ #2\\ #3\end{pmatrix}}\xspace} + +%% Differentials +\DeclareRobustCommand{\diff}[1]{\mymath{\mathrm{d} #1}} +\DeclareRobustCommand{\pdiff}[1]{\mymath{\partial #1}} +\DeclareRobustCommand{\dByd}[2]{\mymath{ \frac{\diff{#1}}{\diff{#2}} }} +\DeclareRobustCommand{\pdByd}[2]{\mymath{ \frac{\pdiff{#1}}{\pdiff{#2}} }} +\DeclareRobustCommand{\DeltaVec}[1]{\mymath{\boldsymbol{\Delta}\mathbf{#1}}} +\DeclareRobustCommand{\DeltaN}[1]{\mymath{\Delta #1}} +\DeclareRobustCommand{\deltaVec}[1]{\mymath{\boldsymbol{\delta}\mathbf{#1}}} +\DeclareRobustCommand{\deltaN}[1]{\mymath{\delta #1}} +\DeclareRobustCommand{\d}[1]{\mymath{\mathrm{d}#1}} +\DeclareMathOperator{\curl}{curl} % curl +%\DeclareMathOperator{\div}{div} % div +\DeclareRobustCommand{\gradCross}[1]{\mymath{\nabla \cross #1}} % curl +\DeclareRobustCommand{\gradDot}[1]{\mymath{\nabla \dot #1}} % div +\DeclareRobustCommand{\Laplacian}{\mymath{\backslash}} +\DeclareRobustCommand{\dAlembertian}{\mymath{\box^{2}}} % I like it with power of 2 attached :-) +\DeclareRobustCommand{\exclude}{\mymath{\backslash}} + + +%% Statistics and probability +\DeclareRobustCommand{\mean}[1]{\angles{#1}} +\DeclareRobustCommand{\given}{\mymath{\vert}} +\DeclareRobustCommand{\probabilityP}{\mymath{\mayberm{p}}} +\DeclareRobustCommand{\probability}[1]{\mymath{\probabilityP\parenths{#1}}} + + +%% Principle value integral signs (from UK TeX FAQ) +\def\Xint#1{\mathchoice + {\XXint\displaystyle\textstyle{#1}}% + {\XXint\textstyle\scriptstyle{#1}}% + {\XXint\scriptstyle\scriptscriptstyle{#1}}% + {\XXint\scriptscriptstyle\scriptscriptstyle{#1}}% + \!\int} +\def\XXint#1#2#3{{\setbox0=\hbox{$#1{#2#3}{\int}$} + \vcenter{\hbox{$#2#3$}}\kern-.5\wd0}} +\def\ddashint{\Xint=} +\def\dashint{\Xint-} |