%%
%% This is file `aleph-comandos-beta.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% aleph-comandos-beta.dtx  (with options: `aleph-comandos-beta')
%% 
%% This is a generated file.
%% LaTeX class for typesetting books
%% 
%% Copyright (C) 2023 by Andres Merino <mat.andresmerino@gmail.com>
%% 
%% Para un mejor uso y entendimiento de la actual clase,
%% consultar la documentación.
%% 
%% Para soporte sobre las nuevas características agregadas
%% Daniel Lara <daniel.lara@alephsub0.org>
%% 
\NeedsTeXFormat{LaTeX2e}[2009/09/24]
\ProvidesPackage{aleph-comandos-beta}[2024/01/14 b2.0.4]
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Paquetes
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Son necesarios los siguientes paquetes para utilizar los comandos.
\RequirePackage{ifthen}
\RequirePackage{calc}
\RequirePackage{amsmath,amssymb}
\RequirePackage{xcolor}
\RequirePackage{mathrsfs}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Comandos de función
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Función completa
\newcommand{\funcion}[5]{%
    {\setlength{\arraycolsep}{2pt}
    \begin{array}{r@{\,}ccl}
        #1\colon & #2 & \longrightarrow & #3\\
                & #4 & \longmapsto & \displaystyle#5
    \end{array}
    }
}
%%  Función dom-img
\newcommand{\func}[3]{ #1\colon #2 \rightarrow  #3}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Conjuntos
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Números naturales
\newcommand{\N}{\mathbb{N}}
\newcommand{\Nbb}{\mathbb{N}}
%%  Números enteros
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\Zbb}{\mathbb{Z}}
%%  Números racionales
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\Qbb}{\mathbb{Q}}
%%  Números reales
\newcommand{\R}{\mathbb{R}}
\newcommand{\Rbb}{\mathbb{R}}
\newcommand{\reales}{\mathbb{R}}
%%  Números complejos
\@ifundefined{C}
    {\newcommand{\C}{\mathbb{C}}}
    {\renewcommand{\C}{\mathbb{C}}}
\newcommand{\Cbb}{\mathbb{C}}
%%  Campos
\newcommand{\K}{\mathbb{K}}
\newcommand{\Kbb}{\mathbb{K}}
%%  Primos
\newcommand{\Pbb}{\mathbb{P}}
%%  Polinomios
\newcommand{\Pol}{\mathcal{P}}
%%  Matrices
\newcommand{\M}{\mathcal{M}}
%%  Matrices 2
\newcommand{\Mat}[3][\R]{#1^{#2\times #3}}
%%  Números irracionales
\newcommand{\Ibb}{\mathbb{I}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Operadores
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Dominio
\DeclareMathOperator{\dom}{dom}
\DeclareMathOperator{\Dom}{Dom}
%%  Recorrido
\DeclareMathOperator{\rec}{rec}
\DeclareMathOperator{\Rec}{Rec}
%%  Imagen
\DeclareMathOperator{\img}{img}
\DeclareMathOperator{\Img}{Img}
%%  Rango de una matriz
\DeclareMathOperator{\rg}{rg}
\DeclareMathOperator{\rang}{rang}
%%  Matriz adjunta
\DeclareMathOperator{\adj}{adj}
%%  Matriz de cofactores
\DeclareMathOperator{\cof}{cof}
%%  Espacio generado
\DeclareMathOperator{\gen}{gen}
%%  Proyección
\DeclareMathOperator{\proy}{proy}
%%  Componente normal
\DeclareMathOperator{\norm}{norm}
%%  Interior de un conjunto
\DeclareMathOperator{\inte}{int}
%%  Trigonométricas
\renewcommand{\sin}{\sen}
%%  Trigonométricas inversa
\let\arctan\relax
\DeclareMathOperator{\arctan}{arc\,tan}
\DeclareMathOperator{\arccsc}{arc\,csc}
\DeclareMathOperator{\arccot}{arc\,cot}
\DeclareMathOperator{\arcsec}{arc\,sec}
\DeclareMathOperator{\arcsen}{arc\,sen}
\let\arccos\relax
\DeclareMathOperator{\arccos}{arc\,cos}
\let\arcsin\relax
\DeclareMathOperator{\arcsin}{arc\,sen}
%%  Espacio generado
\DeclareMathOperator{\spn}{span}
%%  Parte real y parte imaginaria
\DeclareMathOperator{\im}{Im}
\DeclareMathOperator{\re}{Re}
%%  Gráfico de una función
\DeclareMathOperator{\graf}{graf}
%%  Operador signo
\DeclareMathOperator{\sgn}{sgn}
%%  Conjunto de valores admisible
\DeclareMathOperator{\CVA}{CVA}
%%  Conjunto solución
\DeclareMathOperator{\Sol}{Sol}
\DeclareMathOperator{\sol}{Sol}
%%  Operador cis (cos + i sen)
\DeclareMathOperator{\Cis}{Cis}
\DeclareMathOperator{\cis}{Cis}
%%  Diámetro
\DeclareMathOperator{\diam}{diam}
%%  Varianza
\DeclareMathOperator{\Var}{Var}
%%  Traza
\DeclareMathOperator{\Tr}{tr}
\DeclareMathOperator{\tr}{tr}
%%  Máximo común divisor
\DeclareMathOperator{\mcd}{mcd}
%%  Mínimo común múltiplo
\DeclareMathOperator{\mcm}{mcm}
%%  Divergencia
\DeclareMathOperator{\dive}{div}
%%  Rotacional
\DeclareMathOperator{\rot}{rot}
%%  Partes de un conjunto
\DeclareMathOperator{\partes}{\mathcal{P}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Operadores como comandos
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Clausura de un conjunto
\newcommand{\cl}[1]{\overline{#1}}
%%  Norma
\newcommand{\norma}[1]{%
    \left\|\ifthenelse{\equal{#1}{}}
                  {\cdot}{#1}
    \right\|}
%%  Producto interno
\newcommand{\prodinner}[2]{%
    \left\langle\ifthenelse{\equal{#1}{}\and\equal{#2}{}}
               {\cdot,\cdot}
               {#1,\, #2}
    \right\rangle}
%%  Conjugado
\newcommand{\conjugate}[1]{\overline{#1}}
%%  Derivada parcial
\newcommand{\parcial}[2]{\dfrac{\partial #1 }{\partial #2}}
%%  Derivada total
\newcommand{\derivada}[2]{\dfrac{d #1 }{d #2}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Abreviaciones
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Diferencia de conjuntos pequeña
\renewcommand{\setminus}{\smallsetminus}
%%  Contenecia de conjuntos con igual
\newcommand{\sset}{\subseteq}
%%  Conjunto vacío
\renewcommand{\emptyset}{\varnothing}
%%  Épsilon
\newcommand{\vepsilon}{\varepsilon}
%%  Texto ``y'' con espacio
\newcommand{\texty}{\qquad\text{y}\qquad}
\newcommand{\yds}{\quad\text{y}\quad}
%%  Texto ``o'' con espacio
\newcommand{\texto}{\qquad\text{o}\qquad}
\newcommand{\ods}{\quad\text{o}\quad}
%%  Texto ``si y solo si'' con espacio
\newcommand{\siysolosi}{\quad\text{si y solo si}\quad}
\newcommand{\ssi}{\quad\text{si y solo si}\quad}
%%  Grados
\newcommand{\degre}{\ensuremath{^\circ}}
\newcommand{\grad}{\ensuremath{^\circ}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Comandos desplegados
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Límite en formato desplegado
\newcommand{\dlim}{\displaystyle\lim}
\newcommand{\Lim}{\displaystyle\lim}
%%  Sumatoria en formato desplegado
\newcommand{\dsum}{\displaystyle\sum}
\newcommand{\Sum}{\displaystyle\sum}
%%  Binomio en formato desplegado
\newcommand{\Binom}{\displaystyle\binom}
%%  Integral en formato desplegado
\newcommand{\dint}{\displaystyle\int}
\newcommand{\Int}{\displaystyle\int}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Abreviaciones de operadores lógicos
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Doble implicación
\newcommand{\Di}{\Longleftrightarrow}
\newcommand{\dimp}{\Leftrightarrow}
\newcommand{\Dimp}{\Longleftrightarrow}
\newcommand{\qDimp}{\quad\Longleftrightarrow\quad}
%%  Implicación
\newcommand{\Imp}{\Longrightarrow}
\newcommand{\imp}{\Rightarrow}
\newcommand{\qImp}{\quad\Longrightarrow\quad}
%%  Conectores con espacio
\newcommand{\qland}{\quad \land \quad }
\newcommand{\qlor}{\quad \lor \quad }
\newcommand{\orm}{\quad \vee \quad }
\newcommand{\andm}{\quad \wedge \quad }
%%  Tautología y contradicción
\newcommand{\V}{\mathbb{V}}
\newcommand{\F}{\mathbb{F}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Delimitadores
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Intervalo abierto izquierda
\newcommand{\lop}{\left]}
%%  Intervalo cerrado izquierda
\newcommand{\lcl}{\left[}
%%  Intervalo abierto derecha
\newcommand{\rop}{\right[}
%%  Intervalo cerrado derecha
\newcommand{\rcl}{\right]}
%%  Izquierda
\renewcommand{\l}{\left}
%%  Derecha
\renewcommand{\r}{\right}
%%  Intervalos
\newcommand{\open}[1]{\left]#1\right[}
\newcommand{\openl}[1]{\left]#1\right]}
\newcommand{\openr}[1]{\left[#1\right[}
\newcommand{\close}[1]{\left[#1\right]}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Sucesiones
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Sucesiones
\newcommand{\suc}[2][n]{\left(#2\right)_{#1\in\mathbb{\N}}}
%%  Sucesiones con llaves
\newcommand{\sucl}[2][n]{\left\{#2\right\}_{#1\in\mathbb{\N}}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Comentarios
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Comentarios
\newcommand{\comentario}[1]{\textcolor{red}{#1}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Vectores
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Vectores canónicos
\newcommand{\veci}{\mathbf{i}}
\newcommand{\vecj}{\mathbf{j}}
\newcommand{\veck}{\mathbf{k}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Formato
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Formato
\allowdisplaybreaks
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Comandos para la escritura en Topologia
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Espacio Topol\'ogico
\newcommand{\topologia}[1]{\left(#1,\tau_{#1}\right)}
%% Conjunto cociente
\newcommand{\cociente}[1]{#1/\!\sim}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Comandos para la escritura en Teor\'ia de Probabilidades
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Convergencia en Lp
\newcommand{\lpconver}{\overset{Lp}{\longrightarrow}}
%% Convergencia en Probabilidad
\newcommand{\pconver}{\overset{P}{\longrightarrow}}
%% Convergencia casi segura
\newcommand{\csconver}{\overset{\small CS}{\longrightarrow}}
%% Convergencia vaga
\newcommand{\vconver}{\overset{\small v}{\longrightarrow}}
%% Convergencia distribucion
\newcommand{\dconver}{\overset{\small d}{\longrightarrow}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Abreviaciones para espacios funcionales
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%  Espacio de funciones continuas
\newcommand{\Ccero}[1][\Omega]{C^0\left(#1\right)}
\newcommand{\Cont}[1][\Omega]{C\left(#1\right)}
%% Espacio de funciones continuas a soporte compacto
\newcommand{\Cceroc}[1][\Omega]{C^0_c\left(#1\right)}
%% Espacios duales
\newcommand{\Ddual}[1][\Omega]{D'\left(#1\right)}

%% Espacio de funciones Ck
\newcommand{\Ck}[1][\Omega]{C^k(#1)}
%% Espacio de funciones Ck a soporte compacto
\newcommand{\Cko}[1][\Omega]{C^k_o(#1)}
\newcommand{\Ckc}[1][\Omega]{C^k_c(#1)}
%% Espacio de funciones C infinito
\newcommand{\Cinf}[1][\Omega]{C^\infty(
#1)}
\newcommand{\E}{\mathcal{E}\left(\Omega\right)}
%% Espacio de funciones C infinito a soporte compacto
\newcommand{\Ccinf}[1][\Omega]{C^\infty_c(
#1)}
%% Espacio de las funciones test
\newcommand{\Dinf}[1][\Omega]{D^\infty(#1)}
\newcommand{\D}[1][\Omega]{D\left(#1\right)}
\newcommand{\Dk}[1][\Omega]{D_K\left(\Omega\right)}
%% Soporte de una función
\newcommand{\supp}[1]{\mbox{supp}\left(#1\right)}
%% Abreviación para Convergencia
\newcommand{\nti}{n\to+\infty}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Abreviaciones para espacios de Lebesgue
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Espacio de funciones Lp
\newcommand{\Lp}[2][\Omega]{L^{#2}(#1)}
%% Espacio de las funciones localmente integrables con p=1
\newcommand{\Lloc}[1][\Omega]{L^1_{\text{loc}}(#1)}
%% Espacio de las funciones localmente integrables con p
\newcommand{\Lploc}[2][\Omega]{L^{#2}_{\text{loc}}(#1)}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% --- Espacios generales (métricos y de medida)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Espacio métrico
\newcommand{\emetrico}{(X,d)}
%% Espacio medido
\newcommand{\emedido}{(X,\mathscr{A},\mu)}
%% Espacio medible A
\newcommand{\emedible}{(X,\mathscr{A})}
%% Espacio medible B
\newcommand{\emedibleB}{(Y,\mathscr{B})}
%% Espacio de Borel
\newcommand{\eborel}[1][X]{(#1,\mathcal{B}\text{or}(X))}
%% Espacio Boreliano
\newcommand{\boreliano}[1][X]{\mathcal{B}\text{or}(#1)}
%% Distancia entre dos conjuntos o entre un punto y un conjunto
\newcommand{\distancia}[2]{\text{dist}\left(#1,#2\right)}
%%  Y ¡se acabó!
\endinput
%%
%% End of file `aleph-comandos-beta.sty'.