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+%%
+%% 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'.