%%
%% This is file `formula.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% formula.dtx  (with options: `formula')
%% 
%% Copyleft 1997  Andreas Tille
%% 
%% Usage without any waranty
%% 

\csname @ifundefined\endcsname{formuladef}{}{\endinput}
\NeedsTeXFormat{LaTeX2e}[1997/12/01]
\ProvidesPackage{formula}
\RequirePackage{amsfonts}
\RequirePackage{amstext}
\RequirePackage{textcomp}[1998/03/05 v1.9n]
\RequirePackage{xspace}
\def\formuladef#1 #2 #3 #4{%
    \globaldefs=1%
    \expandafter\newcommand\expandafter{\csname#1\endcsname}
                {\relax\ensuremath{#2}\xspace}%
    \expandafter\newcommand\expandafter{\csname#1doc\endcsname}
                {\csname#1\endcsname & #3\\}%
    \expandafter\newcommand\expandafter{\csname#1art\endcsname}
                {#4\xspace}%   der Artikel
    \expandafter\newcommand\expandafter{\csname#1txt\endcsname}
                {#3\xspace}%   der beschreibende Text
    \expandafter\newcommand\expandafter{\csname#1my\endcsname}
                {{\tt\char92#1} & \csname#1doc\endcsname}
    \globaldefs=0}%
\def\formulaarg#1 #2 #3 #4 #5{%
    \globaldefs=1%
    \expandafter\newcommand\expandafter{\csname#1\endcsname}[1]%
                    {\relax\ensuremath{#2{##1}}\xspace}%
    \expandafter\newcommand\expandafter{\csname#1doc\endcsname}%
          {\csname#1\endcsname{#5} & #3\\}%
    \expandafter\newcommand\expandafter{\csname#1art\endcsname}%
          {#4}%  der Artikel
    \expandafter\newcommand\expandafter{\csname#1txt\endcsname}%
          {#3}%  der beschreibende Text
    \expandafter\newcommand\expandafter{\csname#1my\endcsname}%
          {{\tt\char92#1\{}{\em #5}{\tt \}} & \csname#1doc\endcsname}
    \globaldefs=0}%
\def\formulamit#1 #2 #3 #4 #5 #6{%
    \globaldefs=1%
    \expandafter\newcommand\expandafter{\csname#1\endcsname}[1]%
                    {\relax\ensuremath{#2{##1}#3}\xspace}%
    \expandafter\newcommand\expandafter{\csname#1doc\endcsname}
          {\csname#1\endcsname{#6} & #4\\}%
    \expandafter\newcommand\expandafter{\csname#1art\endcsname}
          {#5}%  der Artikel
    \expandafter\newcommand\expandafter{\csname#1txt\endcsname}
          {#4}%  der beschreibende Text
    \expandafter\newcommand\expandafter{\csname#1my\endcsname}%
          {{\tt\char92#1\{}{\em #6}{\tt \}} & \csname#1doc\endcsname}
    \globaldefs=0}%
\def\formuladiff#1 #2 #3 #4 #5 #6{%
    \globaldefs=1%
    \expandafter\newcommand\expandafter{\csname#1\endcsname}[1]%
                {\relax\ensuremath{\frac{#2^{##1}#3}{#2#4^{##1}}}\xspace}%
    \expandafter\newcommand\expandafter{\csname#1doc\endcsname}%
      {\csname#1\endcsname{n} & #5\\}%
    \expandafter\newcommand\expandafter{\csname#1art\endcsname}%
      {#6}%  der Artikel
    \expandafter\newcommand\expandafter{\csname#1txt\endcsname}%
      {#5}%  der beschreibende Text
    \expandafter\newcommand\expandafter{\csname#1my\endcsname}%
      {{\tt\char92#1\{}{\em n}{\tt \}} & \csname#1doc\endcsname}
    \globaldefs=0}%
\newcommand{\eorg}[2]{%
    \expandafter\ifx\csname l@german\endcsname\relax #1%
    \else \ifnum\csname l@german\endcsname=\language #2%
    \else #1\fi\fi}
\newif\ifpredefinition
\predefinitiontrue
\newcommand{\NoPreDefinition}{\predefinitionfalse}
\DeclareOption{nopredefinition}{\NoPreDefinition}
\ProcessOptions
\ifpredefinition
\formuladef MA       {\text{\bf A}}
                    {\eorg{m}{M}atrix A} {\eorg{the}{die}}
\formuladef Cmess    {\text{C}_m}
                    {\eorg{linear capacitor for measurement}
                          {linearer Me\ss{}kondensator}} {}
\formuladef Cnl      {C_{nl}}
                    {\eorg{nonlinear capacity of the sample}
                          {nichtlineare Kapazit\"at der Probe}} {\eorg{the}{die}}
\formulaarg Cr       {\mathbb{C}^}
                    {\eorg{set of r times continuous differentiable functions}
                          {Menge der r-mal stetig differenzierbaren Funktionen}}
                    {} {r}
\formuladef dPR      {d}
                    {\eorg{d}{D}imension \eorg{of phase space}{des Phasenraums}} {die}
\formuladef DV       {D}
                    {dielektrische Verschiebung} {die}
\formuladef Det      {\text{det}}
                    {Determinante einer Matrix} {die}
\formuladef Dx       {\text{\bf D}_x}
                    {Jakobimatrix} {die}
\formuladef EF       {E}
                    {elektrische Feldst\"arke} {die}
\formuladef EC       {E_C}
                    {Koerzitivfeldst\"arke} {die}
\formuladef ECnl     {E_{\Cnl}}
                    {elektrische Feldst\"arke \"uber der Probe} {die}
\formuladef dynSys   {\vec{f}(\vec{x},\vp)}
                    {beliebiges dynamisches System} {ein}
\formulamit Effi     {f_} {(\cdot,\cdot)}
                    {} {} {i}
\formuladef falles   {\Effi{1}, \Effi{2}, \cdots}
                    {Komponenten des beliebigen dynamischen Systems} {}
\formuladef F        {\text{F}}
                    {Probenfl\"ache} {die}
\formuladef Fouri    {\mathcal{F}}
                    {Fouriertransformation} {die}
\formuladef Fourin   {\text{F}_{i,n}}
                    {$n$-te Fourierkomponente von \Effi{i}} {die}
\formuladef FOp      {\Fouri_{n}}
                    {Operator f\"ur die $n$-te Fourierkomponente} {der}
\formuladef FB       {\text{f}}
                    {Brennweite} {die}
\formuladef freq     {f}
                    {Frequenz} {die}
\formuladef vf       {\vec{f}}
                    {Vektorfeld} {ein}
\formuladef fa       {\freq_a}
                    {Abtastfrequenz} {die}
\formuladef fgrund   {\freq_{ext}}
                    {Anregungsfrequenz der Schwingung} {die}
\formuladef fstrob   {\freq_s}
                    {Blitzfrequenz des Stroboskops} {die}
\formuladef fvirt    {\freq_v}
                    {virtuelle Frequenz} {die}
\formuladef vfO      {\vf(\vO)}
                    {Vektorfeld f im Ursprung} {}
\formuladef FE       {G}
                    {freie Enthalpie}  {die}
\formuladef FEO      {\FE_0}
                    {temperaturunabh\"angiger Anteil der freien Energie} {}
\formuladef h        {\text{h}}
                    {Probendicke} {die}
\formuladef Hrel     {H_r}
                    {relative Helligkeit eines Videobildes} {die}
\formuladef IH       {I}
                    {elektrische Stromst\"arke} {die}
\formuladef Itot     {\IH_{tot}}
                    {Gesamtstromst\"arke} {die}
\formuladef ICnl     {\IH_{\Cnl}}
                    {Strom durch die nichtlineare Kapazit\"at} {der}
\formuladef IRp      {\IH_{\Rp}}
                    {Strom durch den Parallelverlustwiderstand \Rp} {der}
\formuladef je       {j}
                    {Stromdichte} {die}
\formuladef Lx       {\text{L}}
                    {Induktivit\"at der linearen Spule} {die}
\formuladef vO       {\vec{o}}
                    {Nullvektor} {der}
\formuladef Par      {p}
                    {} {}
\formuladef vp       {\vec{\Par}}
                    {Modellparameter} {die}
\formulaarg Para     {\Par_}
                    {} {} {i}
\formuladef Parai    {\Para{1}, \Para{2}, \cdots}
                    {Komponenten der Modellparameter} {die}
\formuladef Pol      {P}
                    {Polarisation} {die}
\formuladef Poinc    {\mathfrak{P}}
                    {Poincar\'e-Ebene} {die}
\formuladef Pols     {\Pol_s}
                    {spontane Polarisation} {die}
\formuladef Lad      {Q}
                    {elektrische Ladung} {die}
\formuladef Rz       {\mathbb{R}}
                    {reeller Raum} {}
\formuladef Rx       {\text{R}}
                    {Widerstand} {}
\formuladef RCnl     {\Rx_{\Cnl}}
                    {linearer Widerstand in der Ersatzschaltung der Probe} {}
\formuladef RL       {\Rx_{\Lx}}
                    {Verlustwiderstand der Spule} {der}
\formuladef Rlin     {\Rx_{lin}}
                    {linearer Verlustwiderstand; \Rlin = \RL + \Rmess} {}
\formuladef Rmess    {\Rx_m}
                    {linearer Me\ss{}widerstand} {}
\formulaarg Rn       {\Rz^}
                    {n-dimensionaler reeller Raum} {} {n}
\formuladef Rp       {\Rx_p}
               {Parallelverlustwiderstand der nichtlinearen Kapazit\"at} {der}
\formuladef Rs       {\Rx_s}
               {Serienverlustwiderstand der nichtlinearen Kapazit\"at} {der}
\formuladef Spur     {\text{Spur}}
                    {Spur einer Matrix} {die}
\formuladef tx       {t}
                    {Zeit} {die}
\formuladef T        {T}
                    {Periodendauer} {die}
\formuladef Te       {\text{T}}
                    {Temperatur} {die}
\formuladef ta       {\tx_a}
                    {Abtastzeit} {die}
\formuladef te       {\tx_e}
                    {Delay-Zeit} {die}
\formuladef Tgrund   {\T_0}
                    {Periodendauer der Anregung} {die}
\formuladef TC       {\Te_C}
                    {absolute Curie-Temperatur} {die}
\formuladef TCrit    {\Te_{crit}}
                    {kritische absolute Temperatur} {die}
\formuladef Ux       {U}
                    {Spannung} {die}
\formuladef Umg      {\mathbb{U}}
                    {Umgebung} {}
\formuladef Ueff     {\Ux_{ef\kern-1pt{f}}}
                    {Effektivwert der Anregungsspannung} {der}
\formuladef Uext     {\Ux_{ext}}
                    {externe Spannung} {die}
\formuladef UCnl     {\Ux_{\Cnl}}
                    {Spannung \"uber \Cnl} {die}
\formuladef URL      {\Ux_{\RL}}
                    {Spannung \"uber \RL} {die}
\formuladef URs      {\Ux_{\Rs}}
                    {Spannung \"uber \Rs} {die}
\formuladef Vnl      {V_{nl}}
                    {nichtlineares Potential} {}
\formuladef x        {x}
                    {beliebige skalare physikalische Gr\"o\ss{}e} {}
\formuladef dxdt     {\dot x}
                    {Ableitung von x nach der Zeit} {}
\formuladef vx       {\vec{x}}
                    {beliebige vektorielle physikalische Gr\"o\ss{}e} {}
\formuladef vX       {\vec{X}}
                    {Fouriertransformierte der vektoriellen Gr\"o\ss{}e \vx} {}
\formuladef xO       {x_0}
                    {} {}
\formuladef vxO      {\vec{\xO}}
                    {} {}
\formulaarg PotK     {\alpha_}
                    {} {} {i}
\formuladef PotKo    {\PotK{2}, \PotK{4}}
                    {Koeffizienten des nichtlinearen Potentials \Vnl} {die}
\formulaarg LanK     {\tilde{\alpha}_}
                    {} {} {i}
\formuladef LanKo    {\LanK{1}, \LanK{2}, \cdots}
                    {Entwicklungskoeffizienten der Landau-Entwicklung} {die}
\formuladef Feige    {\delta}
                    {Feigenbaum-Konstante} {die}
\formuladef Abli     {\partial_i}
                    {Ableitungsoperator nach der $i$-ten Koordinate} {der}
\formuladef eps      {\varepsilon}
                    {Dielektrizit\"atskonstante} {die}
\formuladef epsO     {\eps_0}
                    {Influenzkonstante $\epsO = 8.84\cdot 10^{-12}\AsVm$} {die}
\formuladef epsr     {\eps_r}
                    {relative Dielektrizit\"atskonstante} {die}
\formuladef OP       {\eta}
                    {Ordnungsparameter} {der}
\formuladef Ev       {\eta}
                    {mit Index: Komponente des Eigenvektors} {der}
\formuladef vEv      {\vec{\Ev}}
                    {Eigenvektor} {der}
\formuladef GOP      {\OP^{*}}
                    {Gleichgewichtswert des Ordnungsparameters} {der}
\formuladef Ewl      {\lambda}
                    {Eigenwert} {der}
\formuladef phistrob {\varphi_s}
                    {Phasenwinkel des Stroboskops} {der}
\formuladef TGrdC    {\vartheta}
                    {Temperatur in Celsius} {die}
\formuladef ThC      {\TGrdC_C}
                    {Curie-Temperatur} {die}
\formuladef ThCrit   {\TGrdC_{crit}}
                    {kritische Temperatur} {die}
\formuladef oC       {\omega}
                    {Kreisfrequenz $\oC = 2\pi\freq$} {die}
\formuladef oO       {\oC_0}
                    {Grundfrequenz} {die}
\formuladef siehe    {\rightarrow}
                    {siehe} {}
\formuladef drf      {\Rightarrow}
                    {daraus folgt} {}
\fi% end of predefinition
\def\formulaunit#1 #2 #3 #4 #5{%
    \globaldefs=1%
    \expandafter\newcommand\expandafter{\csname#1\endcsname}%
       {\relax\ensuremath{\text{\,#2}#3\text{#4}}\xspace}%
    \expandafter\newcommand\expandafter{\csname#1doc\endcsname}
       {{\em x}\csname#1\endcsname & #5\\}%
    \expandafter\newcommand\expandafter{\csname#1txt\endcsname}
       {#5}%  description of units in words
    \expandafter\newcommand\expandafter{\csname#1my\endcsname}%
       {{\em x\tt\char92#1} & \csname#1doc\endcsname}
    \globaldefs=0}%
\ifpredefinition
\formulaunit  mn    {}   {}                       min        {\eorg{minute}{Minute}}
\formulaunit  sek   {}   {}                       s          {\eorg{second}{Sekunde}}
\formulaunit  msek  {m}  {}                       s          {Millisekunde}
\formulaunit  musek {}   {\text{\textmu}}         s          {Mikrosekunde}
\formulaunit  m     {}   {}                       m          {Meter}
\formulaunit  cm    {c}  {}                       m          {Zentimeter}
\formulaunit  mm    {m}  {}                       m          {Millimeter}
\formulaunit  mum   {}   {\text{\textmu}}         m          {Mikrometer}
\formulaunit  nm    {n}  {}                       m          {Nanometer}
\formulaunit  li    {}   {}                       l          {Liter}
\formulaunit  ml    {m}   {}                      l          {Milliliter}
\formulaunit  g     {}   {}                       g          {Gramm}
\formulaunit  kg    {k}  {}                       g          {Kilogramm}
\formulaunit  Hz    {}   {}                       Hz         {Hertz}
\formulaunit  kHz   {k}  {}                       Hz         {Kilohertz}
\formulaunit  MHz   {M}  {}                       Hz         {Megahertz}
\formulaunit  MV    {M}  {}                       V          {Megavolt}
\formulaunit  kV    {k}  {}                       V          {Kilovolt}
\formulaunit  Vo    {}   {}                       V          {Volt}
\formulaunit  mV    {m}  {}                       V          {Millivolt}
\formulaunit  Ohm   {}   {\text{\textohm}}        {}         {Ohm}
\formulaunit  kOhm  {k}  {\text{\textohm}}        {}         {Kiloohm}
\formulaunit  MOhm  {M}  {\text{\textohm}}        {}         {Megaohm}
\formulaunit  muF   {}   {\text{\textmu}}         F          {Mikrofarad}
\formulaunit  nF    {n}  {}                       F          {Nanofarad}
\formulaunit  pF    {p}  {}                       F          {Picofarad}
\formulaunit  He    {}   {}                       H          {Henry}
\formulaunit  mH    {m}  {}                       H          {Millihenry}
\formulaunit  K     {}   {}                       K          {Kelvin}
\formulaunit  grd   {}   {\text{\textdegree}}     {}         {Grad}
\formulaunit  grdC  {}   {\text{\textcelsius}}    {}         {Grad Celsius}
\formulaunit  J     {}   {}                       {J}        {Joule}
\formulaunit  muJ   {}   {\text{\textmu}}         {J}        {Mikrojoule}
\formulaunit  mW    {m}  {}                       {W}        {Milliwatt}
\formulaunit  W     {}   {}                       {W}        {Watt}
\formulaunit  Bit   {}   {}                       Bit        {Bit}
\formulaunit  Byte  {}   {}                       HByte      {Byte}
\formulaunit  kByte {k}  {}                       Byte       {Kilobyte}
\formulaunit  MByte {M}  {}                       Byte       {Megabyte}
\formulaunit  Bilderprosek {} {}                  {\eorg{images}{Bilder}/s} {\eorg{Bilder pro Sekunde}{images per second}}
\formulaunit  Bilder {}  {}                       {\eorg{images}{Bilder}}   {\eorg{images}{Bilder}}
\formulaunit  dpi   {}   {}                       {dpi}      {\eorg{dots per inch}{Punkte pro Zoll}}
\formulaunit  Prozent {} {}                       {\%}       {\eorg{per cent}{Prozent}}
\formulaunit  Upromin {} {}                      {U/min} {Umdrehungen pro Minute}
\formulaunit  AsVm  {}   {}                       {\ensuremath{\frac{\text{As}}{\text{Vm}}}}
                                                {Amperesekunden pro Voltmeter}
\formulaunit  DM    {}   {}                       {DM}       {DM}
\formulaunit  TDM   {T}  {}                       {DM}       {tausend DM}
\fi% end predefinition
\newcommand{\Odif}[2]{\frac{\partial #1}{\partial #2}}
\newcommand{\odif}[2]{\relax\ensuremath{\Odif{#1}{#2}}}
\newcommand{\Pdif}[2]{\left( \odif{#1}{#2} \right)}
\newcommand{\pdif}[2]{\relax\ensuremath{\Pdif{#1}{#2}}}
\newcommand{\OSdif}[2]{\frac{\partial^2 #1}{\partial #2^2}}
\newcommand{\osdif}[2]{\relax\ensuremath{\OSdif{#1}{#2}}}
\newcommand{\OOdif}[3]{\frac{\partial^2 #1}{\partial #2 \partial #3}}
\newcommand{\oodif}[3]{\relax\ensuremath{\OOdif{#1}{#2}{#3}}}
\newcommand{\PPdif}[3]{\left( \oodif{#1}{#2}{#3} \right)}
\newcommand{\ppdif}[3]{\relax\ensuremath{\PPdif{#1}{#2}{#3}}}
\newcommand{\OOOdif}[4]{\frac{\partial^3 #1}{\partial #2 \partial #3 \partial #4}}
\newcommand{\ooodif}[4]{\relax\ensuremath{\OOOdif{#1}{#2}{#3}{#4}}}
\newcommand{\PPPdif}[4]{\left( \ooodif{#1}{#2}{#3}{#4} \right)}
\newcommand{\pppdif}[4]{\relax\ensuremath{\PPPdif{#1}{#2}{#3}{#4}}}
\newcommand{\OOSdif}[3]{\frac{\partial^3 #1}{\partial #2^2\partial #3}}
\newcommand{\oosdif}[3]{\relax\ensuremath{\OOSdif{#1}{#2}{#3}}}
\newcommand{\beq}{\begin{equation}}
\newcommand{\eeq}{\end{equation}}
\newcommand{\bea}{\begin{eqnarray}}
\newcommand{\eea}{\end{eqnarray}}
\def\be*{\begin{eqnarray*}}
\def\ee*{\end{eqnarray*}}
\def\buildrul#1\over #2{\mathrel  {\mathop {#1}\limits_{#2}}}
\endinput
%%
%% End of file `formula.sty'.
