mirror of
https://github.com/vale981/TUD_MATH_BA
synced 2025-03-05 09:31:39 -05:00
added shorter command for the differential d latter (\d)
This commit is contained in:
Ameyah
parent
e27aee5b06
commit
cd86fb23c3
1 changed files with 113 additions and 105 deletions
|
|
@ -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
|
||||
Loading…
Add table
Reference in a new issue