diff options
Diffstat (limited to 'macros/latex/contrib/glossaries/samples/sampleEqPg.tex')
-rw-r--r-- | macros/latex/contrib/glossaries/samples/sampleEqPg.tex | 34 |
1 files changed, 18 insertions, 16 deletions
diff --git a/macros/latex/contrib/glossaries/samples/sampleEqPg.tex b/macros/latex/contrib/glossaries/samples/sampleEqPg.tex index 6061bb72d9..fde8800633 100644 --- a/macros/latex/contrib/glossaries/samples/sampleEqPg.tex +++ b/macros/latex/contrib/glossaries/samples/sampleEqPg.tex @@ -21,6 +21,8 @@ % arara: pdflatex: { synctex: on } % arara: makeglossaries % arara: pdflatex: { synctex: on } +% +%http://mirrors.ctan.org/macros/latex/contrib/glossaries/glossaries-user.html#sampleEgPg \documentclass[a4paper,12pt]{report} \usepackage{amsmath} @@ -67,10 +69,10 @@ numbers in bold indicate page numbers where the main definition occurs.\par} description=Gamma function,sort=Gamma} \newglossaryentry{gamma}{name=\ensuremath{\gamma(\alpha,x)}, -description=Incomplete gamma function,sort=gamma} +description=Lower incomplete gamma function,sort=gamma1} \newglossaryentry{iGamma}{name=\ensuremath{\Gamma(\alpha,x)}, -description=Incomplete gamma function,sort=Gamma} +description=Upper incomplete gamma function,sort=Gamma2} \newglossaryentry{psi}{name=\ensuremath{\psi(x)}, description=Psi function,sort=psi} @@ -81,7 +83,7 @@ description=Error function,sort=erf} \newglossaryentry{erfc}{name=\ensuremath{\erfc(x)}, description=Complementary error function,sort=erfc} -\newglossaryentry{beta}{name=\ensuremath{B(x,y)}, +\newglossaryentry{B}{name=\ensuremath{B(x,y)}, description=Beta function,sort=B} \newglossaryentry{Bx}{name=\ensuremath{B_x(p,q)}, @@ -98,22 +100,22 @@ sort=Un} \newglossaryentry{Hn}{name=\ensuremath{H_n(x)}, description=Hermite polynomials,sort=Hn} -\newglossaryentry{Lna}{name=\ensuremath{L_n^\alpha(x)}, +\newglossaryentry{Ln}{name=\ensuremath{L_n^\alpha(x)}, description=Laguerre polynomials,sort=Lna} \newglossaryentry{Znu}{name=\ensuremath{Z_\nu(z)}, description=Bessel functions,sort=Z} -\newglossaryentry{Pagz}{name=\ensuremath{\Phi(\alpha,\gamma;z)}, +\newglossaryentry{Phi}{name=\ensuremath{\Phi(\alpha,\gamma;z)}, description=confluent hypergeometric function,sort=Pagz} -\newglossaryentry{kv}{name=\ensuremath{k_\nu(x)}, +\newglossaryentry{knu}{name=\ensuremath{k_\nu(x)}, description=Bateman's function,sort=kv} \newglossaryentry{Dp}{name=\ensuremath{D_p(z)}, description=Parabolic cylinder functions,sort=Dp} -\newglossaryentry{Fpk}{name=\ensuremath{F(\phi,k)}, +\newglossaryentry{F}{name=\ensuremath{F(\phi,k)}, description=Elliptical integral of the first kind,sort=Fpk} \newglossaryentry{C}{name=\ensuremath{C}, @@ -163,7 +165,7 @@ defined as \end{equation} \begin{equation} -\glslink{Gamma}{\ensuremath{\Gamma(x+1)}} = x\Gamma(x) +\glslink{Gamma}{\Gamma(x+1)} = x\Gamma(x) \end{equation} \begin{equation} @@ -177,7 +179,7 @@ defined as \newpage \begin{equation} -\glslink{Gamma}{\ensuremath{\Gamma(\alpha)}} = +\glslink{Gamma}{\Gamma(\alpha)} = \Gamma(\alpha, x) + \gamma(\alpha, x) \end{equation} @@ -199,15 +201,15 @@ The \glslink[format=hyperbf,counter=page]{erf}{error function} is defined as: \chapter{Beta Function} \begin{equation} -\gls{beta} = 2\int_0^1 t^{x-1}(1-t^2)^{y-1}\,dt +\gls{B} = 2\int_0^1 t^{x-1}(1-t^2)^{y-1}\,dt \end{equation} Alternatively: \begin{equation} -\gls{beta} = 2\int_0^{\frac\pi2}\sin^{2x-1}\phi\cos^{2y-1}\phi\,d\phi +\gls{B} = 2\int_0^{\frac\pi2}\sin^{2x-1}\phi\cos^{2y-1}\phi\,d\phi \end{equation} \begin{equation} -\gls{beta} = \frac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)} = B(y,x) +\gls{B} = \frac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)} = B(y,x) \end{equation} \begin{equation} @@ -233,7 +235,7 @@ Alternatively: \chapter{Laguerre polynomials} \begin{equation} -\gls{Lna} = \frac{1}{n!}e^x x^{-\alpha} +\gls{Ln} = \frac{1}{n!}e^x x^{-\alpha} \frac{d^n}{dx^n}(e^{-x}x^{n+\alpha}) \end{equation} @@ -250,7 +252,7 @@ Bessel functions $Z_\nu(z)$ are solutions of \chapter{Confluent hypergeometric function} \begin{equation} -\gls{Pagz} = 1 + \frac{\alpha}{\gamma}\,\frac{z}{1!} +\gls{Phi} = 1 + \frac{\alpha}{\gamma}\,\frac{z}{1!} + \frac{\alpha(\alpha+1)}{\gamma(\gamma+1)}\,\frac{z^2}{2!} +\frac{\alpha(\alpha+1)(\alpha+2)} {\gamma(\gamma+1)(\gamma+2)} @@ -259,7 +261,7 @@ Bessel functions $Z_\nu(z)$ are solutions of \end{equation} \begin{equation} -\gls{kv} = \frac{2}{\pi}\int_0^{\pi/2} +\gls{knu} = \frac{2}{\pi}\int_0^{\pi/2} \cos(x \tan\theta - \nu\theta)\,d\theta \end{equation} @@ -278,7 +280,7 @@ Bessel functions $Z_\nu(z)$ are solutions of \chapter{Elliptical Integral of the First Kind} \begin{equation} -\gls{Fpk} = \int_0^\phi +\gls{F} = \int_0^\phi \frac{d\alpha}{\sqrt{1-k^2\sin^2\alpha}} \end{equation} |