diff --git a/texmf/tex/latex/mathoperators/mathoperators.sty b/texmf/tex/latex/mathoperators/mathoperators.sty index 57db3af..96b69c9 100644 --- a/texmf/tex/latex/mathoperators/mathoperators.sty +++ b/texmf/tex/latex/mathoperators/mathoperators.sty @@ -70,24 +70,25 @@ %%%%%%%%%%% new shorter ones %%%%%%%%%%%%%%%%% -\newcommand{\N}{\mathbb{N}} % natural number Symbol -\newcommand{\Z}{\mathbb{Z}} % whole number Symbol -\newcommand{\Q}{\mathbb{Q}} % rational number symbol -\newcommand{\R}{\mathbb{R}} % real set R +\newcommand{\N}{\mathbb{N}} % natural number Symbol +\newcommand{\Z}{\mathbb{Z}} % whole number Symbol +\newcommand{\Q}{\mathbb{Q}} % rational number symbol +\newcommand{\R}{\mathbb{R}} % real set R \newcommand{\Rn}{\mathbb{R}^n} -\newcommand{\Rnn}{\mathbb{R}^{n \times n}} % real set R^nxn -\newcommand{\Rd}{\mathbb{R}^d} % real set R^n for MINT +\newcommand{\Rd}{\mathbb{R}^d} % real set R^n for MINT +\newcommand{\Rnn}{\mathbb{R}^{n \times n}} % real set R^nxn \undef{\H} \undef{\C} -\newcommand{\C}{\mathbb{C}} % complex set C +\newcommand{\C}{\mathbb{C}} % complex set C \newcommand{\Cn}{\mathbb{C}^n} -\newcommand{\Cnn}{\mathbb{C}^{n \times n}} % complex set C^nxn -\newcommand{\ii}{\mathrm{i}\mkern1mu} % imaginary unit -\newcommand{\H}{\mathbb{H}} % quaternion -\newcommand{\F}{\mathbb{F}} % general field for the others above! +\newcommand{\Cnn}{\mathbb{C}^{n \times n}} % complex set C^nxn +\newcommand{\ii}{\mathrm{i}\mkern1mu} % imaginary unit +\newcommand{\H}{\mathbb{H}} % quaternion +\newcommand{\F}{\mathbb{F}} % general field for the others above! -\newcommand{\powerset}{\mathcal{P}} % Powerset -\newcommand{\pows}{\mathcal{P}} % shoter one +\newcommand{\powerset}{\mathcal{P}} % Powerset +\newcommand{\pows}{\mathcal{P}} +% shoter one %%%%%%%%%%% p-adics %%%%%%%%%%% \newcommand{\pZ}{\mathbb{Z}_p} @@ -96,35 +97,36 @@ %%%%%%%%%%% Old commands, need to check, which ones are in use, if not delete! -\newcommand{\diff}{\,\mathrm{d}} % differential d -\newcommand{\s}{\,\,} % space after the function in the intergral -\newcommand{\cont}{\mathcal{C}} % Contour C -\newcommand{\fuk}{f(z) \s\diff z} % f(z) dz +\newcommand{\diff}{\,\mathrm{d}} % differential d +\newcommand{\d}{\,\mathrm{d}} % shorter command for differential d +\newcommand{\s}{\,\,} % space after the function in the intergral +\newcommand{\cont}{\mathcal{C}} % Contour C +\newcommand{\fuk}{f(z) \s\diff z} % f(z) dz \newcommand{\diffz}{\s\diff z} -\newcommand{\subint}{\int\limits} % lower boundaries for the integral -\newcommand{\poly}{\mathcal{P}} % special P - polygon -\newcommand{\defi}{\mathcal{D}} % D for the domain of a function -\newcommand{\cover}{\mathcal{U}} % cover for a set -\newcommand{\setsys}{\mathcal{M}} % set system M -\newcommand{\setnys}{\mathcal{N}} % set system N -\newcommand{\zetafunk}{f(\zeta)\s\diff \zeta} %f(zeta) d zeta +\newcommand{\subint}{\int\limits} % lower boundaries for the integral +\newcommand{\poly}{\mathcal{P}} % special P - polygon +\newcommand{\defi}{\mathcal{D}} % D for the domain of a function +\newcommand{\cover}{\mathcal{U}} % cover for a set +\newcommand{\setsys}{\mathcal{M}} % set system M +\newcommand{\setnys}{\mathcal{N}} % set system N +\newcommand{\zetafunk}{f(\zeta)\s\diff \zeta} % f(zeta) d zeta \newcommand{\ztfunk}{f(\zeta)} % f(zeta) \newcommand{\bocirc}{S_r(z)} \newcommand{\prop}{\,|\,} -\newcommand*{\QEDA}{\hfill\ensuremath{\blacksquare}} %tombstone -\newcommand{\emptybra}{\{\varnothing\}} % empty set with set-bracket +\newcommand*{\QEDA}{\hfill\ensuremath{\blacksquare}} % tombstone +\newcommand{\emptybra}{\{\varnothing\}} % empty set with set-bracket \newcommand{\realpos}{\real_{>0}} \newcommand{\realposr}{\real_{\geq0}} \newcommand{\naturpos}{\natur_{>0}} -\newcommand{\Imag}{\operatorname{Im}} % Imaginary symbol -\newcommand{\Realz}{\operatorname{Re}} % Real symbol -\newcommand{\foralln}{\forall n} %all n -\newcommand{\forallnset}{\forall n \in \natur} %all n € |N -\newcommand{\forallnz}{\forall n \geq _0} % all n >= n_0 -\newcommand{\conjz}{\overline{z}} % conjugated z -\newcommand{\tildz}{\tilde{z}} % different z -\newcommand{\lproofar}{"`$ \Leftarrow $"'} % "`<="' -\newcommand{\rproofar}{"`$ \Rightarrow $"'} % "`=>"' +\newcommand{\Imag}{\operatorname{Im}} % Imaginary symbol +\newcommand{\Realz}{\operatorname{Re}} % Real symbol +\newcommand{\foralln}{\forall n} % all n +\newcommand{\forallnset}{\forall n \in \natur} % all n € |N +\newcommand{\forallnz}{\forall n \geq _0} % all n >= n_0 +\newcommand{\conjz}{\overline{z}} % conjugated z +\newcommand{\tildz}{\tilde{z}} % different z +\newcommand{\lproofar}{"`$ \Leftarrow $"'} % "`<="' +\newcommand{\rproofar}{"`$ \Rightarrow $"'} % "`=>"' \newcommand{\beha}{\Rightarrow \text{ Behauptung}} \newcommand{\person}[1]{\textsc{#1}} \newcommand{\highlight}[1]{\emph{#1}} @@ -223,6 +225,7 @@ %%%%%%%%%%% Stochastic %%%%%%%%%%%%%%%%%% +% distributions \DeclareMathOperator{\Bin}{Bin} % Binomial-distribution \DeclareMathOperator{\Ber}{Bernoulli} % Bernoulli-distibution \DeclareMathOperator{\Multi}{Multi} % Multinomial-distribution @@ -230,118 +233,123 @@ \DeclareMathOperator{\Pois}{Poisson} % Poisson-distribution \DeclareMathOperator{\Gleich}{U} % Gleich-distribution -% Math Operators +% Other stuff for stochastic + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Math Operators %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + %%%%%% A -\DeclareMathOperator{\Aff}{Aff} % Affine -\DeclareMathOperator{\Aut}{Aut} % Automorphism -\DeclareMathOperator{\Abb}{Abb} % Abbildung +\DeclareMathOperator{\Aff}{Aff} % Affine +\DeclareMathOperator{\Aut}{Aut} % Automorphism +\DeclareMathOperator{\Abb}{Abb} % Abbildung %%%%%% B -\DeclareMathOperator{\Bil}{Bil} +\DeclareMathOperator{\Bil}{Bil} % Bilinear form %%%%%% C -\DeclareMathOperator{\cl}{cl} % Closure -\DeclareMathOperator{\cond}{cond} % ? -\DeclareMathOperator{\curl}{curl} % Curl/Rotation -\DeclareMathOperator{\chara}{char} % characteric Ring/Field +\DeclareMathOperator{\cl}{cl} % Closure +\DeclareMathOperator{\cond}{cond} % ? +\DeclareMathOperator{\curl}{curl} % Curl/Rotation +\DeclareMathOperator{\chara}{char} % characteric Ring/Field %%%%%% D -\DeclareMathOperator{\diam}{diam} % Diameter of a set +\DeclareMathOperator{\diam}{diam} % Diameter of a set \undef\div -\DeclareMathOperator{\div}{div} % Divergence -\DeclareMathOperator{\diag}{diag} % Diagonal matrix -\DeclareMathOperator{\D}{d} % ? +\DeclareMathOperator{\div}{div} % Divergence +\DeclareMathOperator{\diag}{diag} % Diagonal matrix +\DeclareMathOperator{\D}{d} % ? %%%%%% E -\DeclareMathOperator{\Eig}{Eig} % Eigenspace -\DeclareMathOperator{\End}{End} % Endomorphism -\DeclareMathOperator{\ext}{ext} % Exterior -\DeclareMathOperator{\Ext}{ext} % 2nd time? +\DeclareMathOperator{\Eig}{Eig} % Eigenspace +\DeclareMathOperator{\End}{End} % Endomorphism +\DeclareMathOperator{\ext}{ext} % Exterior +\DeclareMathOperator{\Ext}{ext} % 2nd time? %%%%%% F -\DeclareMathOperator{\Fix}{Fix} % Fix-points for group theory +\DeclareMathOperator{\Fix}{Fix} % Fix-points for group theory %%%%%% G -\DeclareMathOperator{\ggT}{ggT} % Größte geimeinsamer Teiler (gcd) -\DeclareMathOperator{\GL}{GL} % General Linear Group -\DeclareMathOperator{\graph}{graph} % Graph -\DeclareMathOperator{\grad}{grad} % Gradient +\DeclareMathOperator{\ggT}{ggT} % Größte geimeinsamer Teiler (gcd) +\DeclareMathOperator{\GL}{GL} % General Linear Group +\DeclareMathOperator{\graph}{graph} % Graph +\DeclareMathOperator{\grad}{grad} % Gradient %%%%%% H -\DeclareMathOperator{\Hom}{Hom} % family of Homomorphisms -\DeclareMathOperator{\Hau}{Hau} % Hauptraum (generalized Eigenspace) +\DeclareMathOperator{\Hom}{Hom} % family of Homomorphisms +\DeclareMathOperator{\Hau}{Hau} % Hauptraum (generalized Eigenspace) %%%%%% IJK -\DeclareMathOperator{\Image}{Im} % Image -\DeclareMathOperator{\Inn}{Inn} % Inner autommorphism -\DeclareMathOperator{\inn}{int} % Set of inner points -\DeclareMathOperator{\Int}{int} % 2nd time -\DeclareMathOperator{\id}{id} % Identity +\DeclareMathOperator{\Image}{Im} % Image +\DeclareMathOperator{\Inn}{Inn} % Inner autommorphism +\DeclareMathOperator{\inn}{int} % Set of inner points +\DeclareMathOperator{\Int}{int} % 2nd time +\DeclareMathOperator{\id}{id} % Identity -\DeclareMathOperator{\kgV}{kgV} % kleinste gemeinsamer Teiler (lcd) -\DeclareMathOperator{\Ker}{Ker} % kernel of a morphisms +\DeclareMathOperator{\kgV}{kgV} % kleinste gemeinsamer Teiler (lcd) +\DeclareMathOperator{\Ker}{Ker} % kernel of a morphisms %%%%%% LMN -\DeclareMathOperator{\LC}{LC} % Leitkoeffizient +\DeclareMathOperator{\LC}{LC} % Leitkoeffizient polynome -\DeclareMathOperator{\Mat}{Mat} % Matrix -\DeclareMathOperator{\MinPol}{MinPol} % Minimal Polynomial +\DeclareMathOperator{\Mat}{Mat} % Matrix +\DeclareMathOperator{\MinPol}{MinPol} % Minimal Polynomial %%%%%% OPQ -\DeclareMathOperator{\ord}{ord} % Order of a group -\DeclareMathOperator{\Orth}{O} % Orthogonal Group -\DeclareMathOperator{\Out}{Out} % Outer Automorphism -\DeclareMathOperator{\Landau}{O} % Big ``O'' (Landau) +\DeclareMathOperator{\ord}{ord} % Order of a group +\DeclareMathOperator{\Orth}{O} % Orthogonal Group +\DeclareMathOperator{\Out}{Out} % Outer Automorphism +\DeclareMathOperator{\Landau}{O} % Big ``O'' (Landau) -\DeclareMathOperator{\pr}{pr} % Projection +\DeclareMathOperator{\pr}{pr} % Projection -\DeclareMathOperator{\Quot}{Quot} % Quotient +\DeclareMathOperator{\Quot}{Quot} % Quotient %%%%%% R -\DeclareMathOperator{\rd}{rd} % ? -\DeclareMathOperator{\rk}{rk} % Rank of a matrix -\DeclareMathOperator{\rot}{rot} % Rotation (Curl) -\DeclareMathOperator{\rang}{rang} % Matrix Rank +\DeclareMathOperator{\rd}{rd} % ? +\DeclareMathOperator{\rk}{rk} % Rank of a matrix +\DeclareMathOperator{\rot}{rot} % Rotation (Curl) +\DeclareMathOperator{\rang}{rang} % Matrix Rank %%%%%% S -\DeclareMathOperator{\sgn}{sgn} % Signum function -\DeclareMathOperator{\SL}{SL} % Special Linear Group -\DeclareMathOperator{\SO}{SO} % Special Orthogonal Group -\DeclareMathOperator{\Span}{span} % Span -\DeclareMathOperator{\SR}{SR} % Spaltenraum -\DeclareMathOperator{\Stab}{Stab} % Stabilizer -\DeclareMathOperator{\supp}{supp} % Support -\DeclareMathOperator{\Syl}{Syl} % Sylow Group -\DeclareMathOperator{\Sym}{Sym} % Symmetric Group -\DeclareMathOperator{\SU}{SU} % Special Unitary Group +\DeclareMathOperator{\sgn}{sgn} % Signum function +\DeclareMathOperator{\SL}{SL} % Special Linear Group +\DeclareMathOperator{\SO}{SO} % Special Orthogonal Group +\DeclareMathOperator{\Span}{span} % Span +\DeclareMathOperator{\SR}{SR} % Spaltenraum +\DeclareMathOperator{\Stab}{Stab} % Stabilizer +\DeclareMathOperator{\supp}{supp} % Support +\DeclareMathOperator{\Syl}{Syl} % Sylow Group +\DeclareMathOperator{\Sym}{Sym} % Symmetric Group +\DeclareMathOperator{\SU}{SU} % Special Unitary Group %%%%%% T -\DeclareMathOperator{\tr}{tr} % Trace operator -\DeclareMathOperator{\Typ}{Typ} % Type +\DeclareMathOperator{\tr}{tr} % Trace operator +\DeclareMathOperator{\Typ}{Typ} % Type %%%%%% UVW -\DeclareMathOperator{\UG}{UG} % Untergruppe (subgroup) -\DeclareMathOperator{\Uni}{U} % Unitary Group +\DeclareMathOperator{\UG}{UG} % Untergruppe (subgroup) +\DeclareMathOperator{\Uni}{U} % Unitary Group -\DeclareMathOperator{\w}{w} % ? +\DeclareMathOperator{\w}{w} % ? %%%%%% XYZ -\DeclareMathOperator{\ZR}{ZR} % Zeilenraum -%\DeclareMathOperator{\Z}{Z} % ? +\DeclareMathOperator{\ZR}{ZR} % Zeilenraum +%\DeclareMathOperator{\Z}{Z} % ? % WHITESPACE COMMANDS -\newcommand{\nl}{\\[\baselineskip]} % wordwrap with empty Zeile line after w/o underfull-hbox-warning -\newcommand{\enter}{$ $\newline} % wordwrap w/o condition -\newcommand\tab[1][1cm]{\hspace*{#1}} % practical Tabulator +\newcommand{\nl}{\\[\baselineskip]} % wordwrap with empty Zeile line after w/o underfull-hbox-warning +\newcommand{\enter}{$ $\newline} % wordwrap w/o condition +\newcommand\tab[1][1cm]{\hspace*{#1}} % practical Tabulator % words in align env % -\renewcommand{\mit}{\text{ mit }} % overrides \mit - Used to turn on math italic typestyle. -\newcommand{\bzw}{\text{ bzw. }} % sprachliches bzw. für Numerik -\newcommand{\falls}{\text{falls }} % sprachliches falls für Fallunterscheidungen -\newcommand{\sonst}{\text{sonst }} % sprachliches sonst für Fallunterscheidungen -\newcommand{\und}{\text{ und }} % sprachliches und für align-Umgebungen -\newcommand{\oder}{\text{ oder }} % sprachliches oder für align-Umgebungen +\renewcommand{\mit}{\text{ mit }} % overrides \mit - Used to turn on math italic typestyle. +\newcommand{\bzw}{\text{ bzw. }} % sprachliches bzw. für Numerik +\newcommand{\falls}{\text{falls }} % sprachliches falls für Fallunterscheidungen +\newcommand{\sonst}{\text{sonst }} % sprachliches sonst für Fallunterscheidungen +\newcommand{\und}{\text{ und }} % sprachliches und für align-Umgebungen +\newcommand{\oder}{\text{ oder }} % sprachliches oder für align-Umgebungen \endinput \ No newline 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