notacion.sty

%:---------------------------Notación 
%Toda esta notación es opcional, pero creemos que puede ser de mucha ayuda.
%Juan José Murillo Fuentes y Javier Payán Somet. Copyright 2011. Todos los derechos reservados.

%:---------------------------------------------------  Referencias
%Puede usar los comandos \label y \ref, pero con lo de abajo se facilita el uso de múltiples etiquetas para ecuaciones, secciones,...
%Etiquetas:
\newcommand{\LABEQ}[1]{\label{eq:#1}}%\mathtt{[eq:#1]}\qquad %Equación
\newcommand{\LABALG}[1]{\label{alg:#1}}%\mathtt{[lab:#1]}\qquad %Algoritmo
\newcommand{\LABTAB}[1]{\label{tab:#1}}%{\tt [tab:$\text{$#1$}$]}} %Tabla
\newcommand{\LABFIG}[1]{\label{fig:#1}}%{\tt [fig:$\text{$#1$}$]}} %Figura
\newcommand{\LABTHM}[1]{\label{thm:#1}}%{\tt [thm:#1]}} % Teorema
\newcommand{\LABPRP}[1]{\label{prp:#1}}%{\tt [prp:#1]}} % Proposición
\newcommand{\LABLEM}[1]{\label{lem:#1}}%{\tt [lem:#1]}} % Lema
\newcommand{\LABCOR}[1]{\label{cor:#1}}%{\tt [cor:#1]}} %Corolario 
\newcommand{\LABDFN}[1]{\label{dfn:#1}}%{\tt [dfn:#1]}} %Definición
%\newcommand{\LABFNT}[1]{\label{fnt:#1}}%{\tt [fnt:#1]}} %
%
%Referencias a las etiquetas anteriores, Incluyen el título. Puede cambiarlos aquí. Por ejemplo, si quiere "Fig." en vez de "Figura"...
\newcommand{\EQ}[1]{\eqref{eq:#1}}%$^{\text{\tt [#1]}}$} %used to be {(\ref{eq:#1})}
\newcommand{\ALG}[1]{~\ref{alg:#1}}
%\newcommand{\TAB}[1]{Tabla ~\ref{tab:#1}}%$^{\text{\tt [#1]}}$}
\newcommand{\TAB}[1]{\autoref{tab:#1}}%$^{\text{\tt [#1]}}$}
%\newcommand{\FIG}[1]{Figura~\ref{fig:#1}} %$^{\text{\tt [#1]}}$} 
\newcommand{\FIG}[1]{\autoref{fig:#1}} %$^{\text{\tt [#1]}}$} 

%\newcommand{\FIG}[1]{Fig. \ref{fig:#1}} %$^{\text{\tt [#1]}}$} 
\newcommand{\THM}[1]{Teorema~\ref{thm:#1}}%$^{\text{\tt [#1]}}$}
\newcommand{\COR}[1]{Corolario~\ref{cor:#1}}%$^{\text{\tt [#1]}}$}
\newcommand{\PRP}[1]{Propiedad~\ref{prp:#1}}%$^{\text{\tt [#1]}}$}
\newcommand{\LEM}[1]{Lema~\ref{lem:#1}}%$^{\text{\tt [#1]}}$}
\newcommand{\DFN}[1]{Definición~\ref{dfn:#1}}%$^{\text{\tt [#1]}}$}
%\newcommand{\FNT}[1]{~\ref{fnt:#1}}%$^{\text{\tt [#1]}}$}

%Etiquetas para títulos tipo capítulo, sección, subsección,...
\newcommand{\LABCHAP}[1]{\label{chap:#1}}%{\tt [chap:#1]}}
\newcommand{\LABAPEN}[1]{\label{apen:#1}}%{\tt [chap:#1]}}
\newcommand{\LABSEC}[1]{\label{sec:#1}}%{\tt [sec:#1]}}
\newcommand{\LABSSEC}[1]{\label{ssec:#1}}%{\tt [ssec:#1]}}
\newcommand{\LABSSSEC}[1]{\label{sssec:#1}}%{\tt [sssec:#1]}}
%
%Referencias para los anteriores títulos
\newcommand{\CHAP}[1]{Capítulo~\ref{chap:#1}}%$^{\text{\tt [c:#1]}}$}
\newcommand{\SEC}[1]{Sección~\ref{sec:#1}}%$^{\text{\tt [s:#1]}}$}
\newcommand{\SSEC}[1]{Subsección~\ref{ssec:#1}}%$^{\text{\tt [ss:#1]}}$}
\newcommand{\SSSEC}[1]{Apartado~\ref{sssec:#1}}%$^{\text{\tt [sss:#1]}}$}
\newcommand{\APEN}[1]{Apéndice~\ref{apen:#1}}%$^{\text{\tt [c:#1]}}$}
%
%%
%\newcommand{\PAGEEQ}[1]{~\pageref{eq:#1}}
%\newcommand{\PAGETAB}[1]{~\pageref{tab:#1}}
%\newcommand{\PAGEFIG}[1]{~\pageref{fig:#1}}


%%%%Definiendo caligrafías especiales 
%\newcommand{\emphb}[1]{\emph{\textbf{#1}}}
%\newcommand{\X}{\calg{X}} %{\ensuremath{\calg{X}}} %\textrm{\ifmmode {1pt} \else {\, } \fi}
%\newcommand{\Y}{\calg{Y}}%{\ensuremath{\calg{Y}}}
\newcommand{\calg}[1]{\ensuremath{\mathcal{#1}}} %JJMF: No entiendo para qué es esto.
%\newcommand{\hb}[1]{\ensuremath{\textrm{\usefont{T1}{phv}{b}{n}#1}}}
%\newcommand{\hn}[1]{\ensuremath{\textrm{\usefont{T1}{phv}{m}{n}#1}}}

%
%:Renombrando overline
%\newcommand{\overl}[1]{\bar{#1}}

\DeclarePairedDelimiter\ceil{\lceil}{\rceil}
\DeclarePairedDelimiter\floor{\lfloor}{\rfloor}

%%%% vectores
%
\newcommand{\vect}[1]{\mathbf{#1}}     %vectors (bold type)
\newcommand{\vc}[1]{\mathbf{#1}}     %vectors (bold type)
\newcommand{\matr}[1]{\mathbf{#1}}     %matrices (bold type)
% ó:
%\newcommand{\vc}[1]{\ensuremath{\mathbf{#1}}}
% ó:
%\newcommand{\vct}[1]{\boldsymbol{#1}}
%\newcommand{\vect}[1]{\boldsymbol{#1}}  %vectors (bold type)
%\newcommand{\matr}[1]{\boldsymbol{#1}}  %matrices (bold type)

\renewcommand*{\j}{\ensuremath{\textrm{j}}}%{\mathop{}\mathrm{j}}

%%%% Complejos y exponenciales
\newcommand{\xp}[1]{\e^{\j{#1}}}         %simple exponential
\newcommand{\xppi}[1]{\e^{\j2\pi{#1}}}         %simple exponential
\newcommand{\nxp}[1]{\e^{-\j{#1}}}       %negative exponential
\newcommand{\nxppi}[1]{\e^{-\j2\pi{#1}}}       %negative exponential
\newcommand{\e}{\mathrm{e}}
%\newcommand{\xp}[1]{\e^{j{#1}}}         %simple exponential
%\newcommand{\nxp}[1]{\e^{-j{#1}}}       %negative exponential
%
%
% Parte real
\newcommand{\re}{\mbox{$\mathrm{I\!Re}$}}       %real part
%\renewcommand{\Re}{\ensuremath{\boldsymbol{\mathcal{R}}}}
%\renewcommand{\Re}{\ensuremath{\textrm{\usefont{T1}{phv}{m}{n}Re}}}
% Parte imaginaria
\newcommand{\im}{\mbox{$\mathrm{I\!Im}$}}       %imaginary part
%\renewcommand{\Im}{\ensuremath{\boldsymbol{\mathcal{I}}}}
%\renewcommand{\Im}{\ensuremath{\textrm{\usefont{T1}{phv}{m}{n}Im}}}
%:Creando la unidad imaginaria
%\renewcommand{\j}{\ensuremath{\textrm{\usefont{T1}{lmr}{m}{n}j}}}


%%%% Maths functions and symbols
%
%:Para definir funciones matemáticas en castellano
\makeatletter
\ifdtsc@English
	\DeclareMathOperator{\sen}{sin}
	\DeclareMathOperator{\tg}{tg}  %tg() function
	\DeclareMathOperator{\arctg}{arctg}     %arctg() function
\fi
\makeatother

\DeclareMathOperator{\sa}{Sa}
%
\DeclareMathOperator{\sgn}{sgn}
%\newcommand{\sgn}{\mathrm{sign}}        %sign() function
%\newcommand{\sign}{\mathrm{sign}}
%
\DeclareMathOperator{\rect}{rect}
\DeclareMathOperator{\sinc}{Sinc}
%\newcommand{\cost}{\psi}                %cost or contrast function
\newcommand{\pder}[2]{\frac{\partial #1}{\partial #2}}  %partial derivative
%
%
%\renewcommand{\mod}{\bmod}      %\:\text{mod}\:}
\newcommand{\RR}{\mathbb{R}}            %real numbers
\newcommand{\CC}{\mathbb{C}}    %complex numbers
%
%\newcommand{\tg}{\mahtrm{tg}}           
%\newcommand{\angl}{\arg}
%
\newcommand{\costo}[2]{\cos^{#1}\!#2}   %cos to power
\newcommand{\sento}[2]{\sin^{#1}\!#2}   %sen to power
%
\newcommand{\gra}{\ensuremath{^\circ}}  %Grados. Ejemplo: $5\gra$ K serían 5º K


%%%% Matrices, traspuesta, hermítica, ...
%
\newcommand{\inv}{^{-1}}                %inverse operator
\newcommand{\trs}{^\top}                %transposition operator
%\newcommand{\trs}{^{\textrm{\usefont{T1}{phv}{b}{n}{T}}}}          %transponer una matriz
\newcommand{\psd}{^\dagger}             %pseudoinverse operator
\newcommand{\cnj}{^*}                   %complex conjugate
\newcommand{\pcnj}{^{\phantom{*}}}      %phantom complex conjugate (for alignment)
\newcommand{\her}{^\mathrm{H}}          %complex conjugate transpose
%\newcommand{\her}{^{\textrm{\usefont{T1}{phv}{b}{n}{H}}}}          %Hermítica
\newcommand{\id}[1]{\vect{I}_{#1}}       %identity matrix
%\newcommand{\id}{\matr{I}}       %identity matrix
\newcommand{\diag}[1]{\mathrm{diag}\left(#1\right)}     %diagonal
%\DeclareMathOperator{\diag}{diag}



%%%% indices de prestaciones %%%%%%%%%
%
%\newcommand{\isr}{\mathrm{ISR}}           %interference-to-signal ratio
\newcommand{\snr}{\mathrm{SNR}}           %signal-to-noise ratio
\newcommand{\mse}{\mathrm{MSE}}           %minimum mean square error
%
%ó se pueden escribir como
%\newcommand{\SNR}{\ensuremath{\textrm{SNR}}}
%...


%%%%Miscellaneos
%
%Redefiniendo epsilon
%\renewcommand{\epsilon}{\ensuremath{\textrm{\usefont{OML}{cmr}{m}{n}\symbol{15}}}}
%
%:Creando ``tal que'' de las expresiones matemáticas
\newcommand{\talq}{\colon}
%
%%Creando ``igual por definición'' de las expresiones matemáticas
\newcommand{\eqdef}{\ensuremath{\mathrel{\stackrel{\mathrm{def}}{=}}}}
%%ó
%\newcommand{\eqdef}{\triangleq}         %equal by definition
%
%
%:Creando la igualdad basada en una ecuación
%\newcommand{\igualref}[1]{\ensuremath{\mathrel{\stackrel{\mathrm{\eqref {#1}}}{=}}}}
%
%:Definiendo cardinal y norma
\newcommand{\norm}[1]{\ensuremath{\left\lVert #1 \right\rVert }}
\newcommand{\card}[1]{\ensuremath{\left| #1\right|}}
%\newcommand{\card}[1]{\ensuremath{\text{card}~#1}
%
%:Renombrando \boldsymbol
%\newcommand{\bm}[1]{\boldsymbol{#1}}
%
%:Facilitando la escritura de X_{i}
\newcommand{\xyz}[3]{\ensuremath{#1_{#2},#2=1,2,\ldots,#3}}
%
%:Creando el diferencial. Por defecto, dx
%\newcommand*{\df}[1][x]{\mathop{}\!\mathrm{d}{#1}}
\newcommand{\df}[1]{\mathrm{d}{#1}}

%
%%Modificando el menor igual y el mayor igual
\renewcommand{\le}{\leqslant}           %fancy \le
\renewcommand{\ge}{\geqslant}           %fancy \ge
%
%:Creando BL=backslash de las expresiones matemáticas
\newcommand{\BL}{\ensuremath{\backslash}}
%
%Redefiniendo iff
\renewcommand{\iff}{\Leftrightarrow}
%
%\newcommand{\what}{\widehat}
%\newcommand{\supp}[1]{^{(#1)}}          %superindex with parentheses
\newcommand{\eqexpl}[1]{\underset{#1}{\underset{\uparrow}{=}}}  %equal with explanation
%\newcommand{\proof}{\noindent {\bf Proof.} }
%\newcommand{\skproof}{\noindent {\bf Sketch of the proof.} }
\newcommand{\sfrac}[2]{\tfrac{#1}{#2}}  %small frac
\newcommand{\inc}{\Delta}
\newcommand{\ten}[1]{\cdot 10^{#1}}     %scientific notation
%\newcommand{\arrow}{$\rightarrow$ }
%\newcommand{\darrow}{$\Rightarrow$ }
%\newcommand{\tends}{\rightarrow}                         %'tends to'
\newcommand{\tendsub}[1]{\xrightarrow[#1]{}}             %{\underset{#1}{\longrightarrow}} %'tends to' with subscript
%\newcommand{\tendsubsup}[2]{\xrightarrow[#1]{#2}}        %{\overset{#2}{\tendsub{#1}}}   %'tends to' with sub and superscript
\newcommand{\ord}{\mathrm{O}}         %order of magnitude
\newcommand{\tm}{^{\text{\tiny{TM}}}} %trademark
%
%
%:Creando ``L'' de las expresiones matemáticas
%\renewcommand{\L}[1][L\!]{\ensuremath{\boldsymbol{\mathcal{#1}}}}
%\renewcommand{\L}[1][L\!]{\ensuremath{\boldsymbol{\mathscr{#1}}}}
%
%:Creando la F de transformada de Fourier
%\newcommand{\Fo}{\ensuremath{\boldsymbol{\mathscr{F}}}}
%
%:Creando la H de transformada de Hilbert
%\newcommand{\Hi}{\ensuremath{\boldsymbol{\mathscr{H}}}}
%
%
%%%% Indention
%
%\newcommand{\ind}{$\phantom{\indent}$}
%


%%%% Basic statistics
%
%%Creando el operador "valor esperado" 
%\newcommand{\E}{\ensuremath{\mathbb{E}}}
%\newcommand{\E}{\ensuremath{\textrm{\usefont{OML}{phv}{b}{n}E\hspace{1pt}}}}
%\newcommand{\E}{\ensuremath{\textrm{\usefont{T1}{phv}{m}{n}E}}}
\newcommand{\E}{\mathbb{E}}             %expected value
%
%%Definiendo el espacio de probabilidad
%\newcommand{\ep}{\ensuremath{\left( {\Omega, \calg{B}, \Pr} \right)}}
%\newcommand{\EP}{\ensuremath{\left( {\Omega, \calg{B}, \Pr} \right)}}
%
%\newcommand{\var}{\mathrm{Var}}         %variance
%\newcommand{\cov}{\mathrm{Cov}}         %covariance
\newcommand{\covm}[1]{\vc{C}_{#1}}           %covariance matrix
\newcommand{\corrm}[1]{\vc{R}_{#1}}           %correlation matrix
%\newcommand{\pdf}{p}                    %probability density function
%
%%Creando el operador "Probabilidad"
%\renewcommand{\Pr}{\ensuremath{\mathbb{P}}}
%\renewcommand{\Pr}{\ensuremath{\textrm{\usefont{T1}{phv}{m}{n}P}}}
%
%%Momentos
%\newcommand{\m}[1]{\mu_{#1}}            %moments
%\newcommand{\K}[1]{\kappa_{#1}}         %cumulants (symbol)
%\newcommand{\eK}[1]{\hat{\kappa}_{#1}}  %estimated cumulant
%\newcommand{\cum}{\mathrm{Cum}}         %cumulant
%\newcommand{\M}{\mathrm{M}}             %moment
%\newcommand{\C}{\mathrm{C}}             %cumulant (short)
%
%Creando la varianza
\newcommand{\si}[1]{\ensuremath{\sigma_{#1}^{2}}}
%
%Creando la expresión para indicar una gaussiana
\newcommand{\gauss}[2]{\ensuremath{\calg{N}\left( {#1, #2} \right)}}
%


%%Creando el espectro del ruido blanco
%\newcommand{\Sw}[1][W]{\ensuremath{S_{#1}\left( {\omega} \right)  = \frac{N_{0}}{2}}}
%\newcommand{\Sf}[1][W]{\ensuremath{S_{#1}\left( {\omega} \right)  = \frac{N_{0}}{2}}}
%\newcommand{\Swu}[1][W]{\ensuremath{S_{#1}\left( {\omega} \right)  = N_{0}/2} \textrm{w/(rad/s)}\finjps}
%\newcommand{\Sfu}[1][W]{\ensuremath{S_{#1}\left( {\omega} \right)  = N_{0}/2} \textrm{w/(Hz)}\finjps}
%
%%Creando el límite en el sentido de error cuadrático medio. Está copiado de amsopn.sty
%\def\lms{\qopname\relax m{l.i.m.}}
%
%%Creando el conjunto típico
%\newcommand{\ct}[1][T]{\ensuremath{#1_{\epsilon}^{n}}\ifmmode \else \ \fi}%[A]{\ensuremath{#1_{\epsilon}^{\left( {n} \right)}}}
%
%%Creando la función de distribución. Por defecto, F_{X}\left( {x} \right)
%\newcommand{\FD}[1][x]{\ensuremath{F_{\MakeUppercase{#1}}\left( \MakeLowercase{#1} \right)\ }}
%\newcommand{\FDP}{función de distribución\ }
%
%%Creando la función de densidad de probabilidad. Por defecto, f_{X}\left( {x} \right)
%\newcommand{\fd}[1][x]{\ensuremath{f_{\MakeUppercase{#1}}\left( \MakeLowercase{#1} \right)\ }}
%\newcommand{\fdp}{función densidad de probabilidad\ }



%%%% Revisiones
%
%\newcommand{\comentario}[1]{{\bf Comentario:} {\tt #1}?} 

%\newcommand{\cambiopor}[3]{\marginpar{\hfill{$\tendsubsup{#2}{\text{\tt #1}}$}} {\tt >>> #3}}
%
%\newcommand{\cambio}[2]{{{\tt #1}} {\tt >>> #2??}}
%
%\newcommand{\incluir}[1]{{\bf Incluir:} {\tt #1}?}
%\newcommand{\incluido}[1]{{\bf Incluido:} {\tt #1}}
%
%\newcommand{\notaFul}[1]{{\color{blue} {Fulano: \bf #1}}}



%%%%Ejemplo de notación típica
%
%\def\w{{\mathbf w}}        %GP Vector
%\def\r{{\mathbf r}}        %
%\newcommand{\PHI}{\boldsymbol{\Phi}}
%\def\b{{b}} %elemento de b
%\def\bve{{\mathbf \bve}}
%\def\d{{d}}
%\def\k{{ k}}
%\def\kk{{\mathbf \k}}
%\def\K{{\mathbf K}}
%\def\x{{\vect{x}}}
%\def\y{\vect{\b}}
%\def\newp{_{*}}        %GP Vector
%\def\newout{\b_{*}}
%\newcommand{\p}{\boldsymbol{\phi}}
%\def\X{{\mathbf X}}
%\def\teta{{\mathbf \theta}}
%\def\muw{{\mathbf \mu_\w}}
%\def\newin{{\vect{x}\subind{*}}}
%\def\fv{f}
%\def\fp{\vect{f}}
%
%\def\tset{\mathcal{D}}
%\def\mgp{\boldsymbol{\mu}}
%\def\Nor{\mathcal{N}}                %Gaussian distribution
%\def\treg{y} %Target value of a regression problem
%\def\tregnew{y_{*}}
%
%\ifluatex
%\makeatletter
%\DeclareRobustCommand{\LaTeX}{L\kern-.36em%
%        {\sbox\z@ T%
%         \vbox to\ht\z@{\hbox{\check@mathfonts
%                              \fontsize\sf@size\z@
%                              \math@fontsfalse\selectfont
%                              A}%
%                        \vss}%
%        }%
%        \kern-.15em%
%        \TeX \xspace}
%\makeatother
%\else
%%	\renewcommand{\LaTeX}{LaTeX\xspace}
%%	\renewcommand{\TeX}{TeX\xspace}
%\fi
%