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141 lines
4.1 KiB
TeX
141 lines
4.1 KiB
TeX
\usepackage[top=1.5cm,bottom=1.5cm,left=1.5cm,right=1.5cm]{geometry}
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\usepackage[utf8]{inputenc}
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\usepackage[italian]{babel}
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\usepackage{amsmath}
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\usepackage{amssymb}
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\usepackage{amsfonts}
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\usepackage{amsthm}
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\usepackage{stmaryrd}
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\usepackage{mathrsfs} % per mathscr
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\usepackage{graphicx} % ruota freccia per le azioni
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\usepackage{marvosym} % per il \Lightning
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\usepackage{array}
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\usepackage{faktor} % per gli insiemi quoziente
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\usepackage[colorlinks=false]{hyperref}
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\usepackage{xparse} % per nuovi comandi con tanti input opzionali
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\usepackage{relsize} % per \mathlarger
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\usepackage{tikz-cd}
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\usepackage{multicol}
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\usepackage{multirow}
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\usepackage{cancel}
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\usepackage{enumerate}
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\usepackage{soul}
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\usepackage{nicefrac}
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\usepackage{longtable}
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\usepackage{pdflscape}
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\usepackage{mathtools}
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\usepackage{lmodern}
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\usepackage{accents}
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\renewcommand{\vec}[1]{{\underaccent{\bar}{{#1}}}}
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\newtheorem*{warn}{\warning \; Attenzione}
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\newtheoremstyle{customth}
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{\topsep}{\topsep}
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{\itshape}{}{\bfseries}{.}{\newline}{}
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\newtheoremstyle{customdef}
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{\topsep}{\topsep}
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{\normalfont}{}{\bfseries}{.}{\newline}{}
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\newtheoremstyle{customrem}
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{\topsep}{\topsep}
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{\normalfont}{}{\itshape}{.}{\newline}{}
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\theoremstyle{customth}
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\newtheorem{theorem}{Teorema}[chapter]
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\newtheorem{lemma}[theorem]{Lemma}
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\newtheorem{corollary}[theorem]{Corollario}
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\newtheorem{proposition}[theorem]{Proposizione}
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\newtheorem{fact}[theorem]{Fatto}
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\newtheorem{application}[theorem]{Applicazione}
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\theoremstyle{customrem}
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\newtheorem{remark}[theorem]{Osservazione\,}
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\theoremstyle{customdef}
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\newtheorem{definition}[theorem]{Definizione}
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\newtheorem{notation}[theorem]{Notazione}
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\newtheorem{example}[theorem]{Esempio}
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\makeatletter
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\renewenvironment{proof}[1][\proofname]{\par
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\pushQED{\qed}%
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\normalfont \topsep6\p@\@plus6\p@\relax
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\trivlist
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\item[\hskip\labelsep
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\itshape
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#1\@addpunct{.}]\mbox{}\\*
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}{%
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\popQED\endtrivlist\@endpefalse
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}
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\makeatother
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%============ Simboli standard =================
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\newcommand{\NN}{\mathbb{N}}
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\newcommand{\ZZ}{\mathbb{Z}}
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\newcommand{\RR}{\mathbb{R}}
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\newcommand{\QQ}{\mathbb{Q}}
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\DeclareMathOperator{\Span}{span}
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\newcommand{\defeq}{\overset{\mathrm{def}}{=}}
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\DeclareMathOperator{\im}{im}
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\DeclareMathOperator{\id}{id}
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\DeclareMathOperator{\sgn}{sgn}
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\DeclareMathOperator{\shape}{S}
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\newcommand{\eps}{\varepsilon}
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\renewcommand{\phi}{\varphi}
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\newcommand{\der}[2]{\frac{\mathop{}\!\textnormal{\slshape d} #1}{\mathop{}\!\textnormal{\slshape d} #2}}
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\newcommand{\pd}[2]{\frac{\partial #1}{\partial #2}}
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\newcommand*\dif{\mathop{}\!\textnormal{\slshape d}}
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\newcommand{\dx}{\dif{x}}
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\newcommand{\dy}{\dif{y}}
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\newcommand{\du}{\dif{u}}
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\newcommand{\dv}{\dif{v}}
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\newcommand{\ds}{\dif{s}}
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\newcommand{\dt}{\dif{t}}
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%\setcounter{secnumdepth}{1}
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\newcommand{\restr}[2]{
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#1\arrowvert_{#2}
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}
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\newcommand{\inv}{^{-1}}
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\newcommand{\abs}[1]{\left\lvert #1 \right\rvert}
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\newcommand{\norm}[1]{\left\lVert #1 \right\rVert}
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\NeedsTeXFormat{LaTeX2e}
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%\ProvidesPackage{quiver}[2021/01/11 quiver]
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% `tikz-cd` is necessary to draw commutative diagrams.
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\RequirePackage{tikz-cd}
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% `amssymb` is necessary for `\lrcorner` and `\ulcorner`.
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\RequirePackage{amssymb}
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% `calc` is necessary to draw curved arrows.
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\usetikzlibrary{calc}
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% `pathmorphing` is necessary to draw squiggly arrows.
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\usetikzlibrary{decorations.pathmorphing}
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% A TikZ style for curved arrows of a fixed height, due to AndréC.
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\tikzset{curve/.style={settings={#1},to path={(\tikztostart)
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.. controls ($(\tikztostart)!\pv{pos}!(\tikztotarget)!\pv{height}!270:(\tikztotarget)$)
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and ($(\tikztostart)!1-\pv{pos}!(\tikztotarget)!\pv{height}!270:(\tikztotarget)$)
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.. (\tikztotarget)\tikztonodes}},
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settings/.code={\tikzset{quiver/.cd,#1}
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\def\pv##1{\pgfkeysvalueof{/tikz/quiver/##1}}},
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quiver/.cd,pos/.initial=0.35,height/.initial=0}
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% TikZ arrowhead/tail styles.
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\tikzset{tail reversed/.code={\pgfsetarrowsstart{tikzcd to}}}
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\tikzset{2tail/.code={\pgfsetarrowsstart{Implies[reversed]}}}
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\tikzset{2tail reversed/.code={\pgfsetarrowsstart{Implies}}}
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% TikZ arrow styles.
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\tikzset{no body/.style={/tikz/dash pattern=on 0 off 1mm}}
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