From 11fff1dfc391785d5fd7a7289a483b1d3a428b52 Mon Sep 17 00:00:00 2001 From: hearot Date: Fri, 28 Nov 2025 11:19:49 +0100 Subject: [PATCH] gtd: aggiunge base per la scheda riassuntiva --- .../Scheda riassuntiva/main.tex | 29 +++ .../Scheda riassuntiva/preamble.tex | 175 ++++++++++++++++++ .../sections/0-notazioni.tex | 13 ++ .../sections/0-prerequisiti.tex | 15 ++ .../Scheda riassuntiva/sections/1-curve.tex | 7 + 5 files changed, 239 insertions(+) create mode 100644 Corsi/Geometria e topologia differenziale/Scheda riassuntiva/main.tex create mode 100644 Corsi/Geometria e topologia differenziale/Scheda riassuntiva/preamble.tex create mode 100644 Corsi/Geometria e topologia differenziale/Scheda riassuntiva/sections/0-notazioni.tex create mode 100644 Corsi/Geometria e topologia differenziale/Scheda riassuntiva/sections/0-prerequisiti.tex create mode 100644 Corsi/Geometria e topologia differenziale/Scheda riassuntiva/sections/1-curve.tex diff --git a/Corsi/Geometria e topologia differenziale/Scheda riassuntiva/main.tex b/Corsi/Geometria e topologia differenziale/Scheda riassuntiva/main.tex new file mode 100644 index 0000000..57cece2 --- /dev/null +++ b/Corsi/Geometria e topologia differenziale/Scheda riassuntiva/main.tex @@ -0,0 +1,29 @@ +\documentclass[10pt]{report} +\input{preamble.tex} +%PER CAMBIARE I MARGINI +%\usepackage[margin=2cm]{geometry} + +%----------- Setup stilistico ---------------- +\renewcommand\thefootnote{\textcolor{blue}{\arabic{footnote}}} +\renewcommand{\chaptername}{Parte} +\addto\captionsitalian{\renewcommand{\chaptername}{Parte}} + + + +\title{\Huge{Schede riassuntive di \\ \textit{Geometria e topologia differenziale}}} +\date{A.A. 2025-2026} +\author{A cura di Gabriel Antonio Videtta\footnote{Basato su un layout di \underline{Luca Lombardo} e di \underline{Francesco Sorce}.} \\ \href{mailto:g.videtta1@studenti.unipi.it}{\texttt{g.videtta1@studenti.unipi.it}} \\[0.3in] Testo basato sul contenuto del corso del prof. Lisca \\ tenutosi presso l'Università di Pisa.} + +\begin{document} +\maketitle + +\begin{multicols*}{2} + \tableofcontents +\end{multicols*} + +\newpage +\input{sections/0-notazioni.tex} +\input{sections/0-prerequisiti.tex} +\input{sections/1-curve.tex} + +\end{document} diff --git a/Corsi/Geometria e topologia differenziale/Scheda riassuntiva/preamble.tex b/Corsi/Geometria e topologia differenziale/Scheda riassuntiva/preamble.tex new file mode 100644 index 0000000..164eacf --- /dev/null +++ b/Corsi/Geometria e topologia differenziale/Scheda riassuntiva/preamble.tex @@ -0,0 +1,175 @@ +\usepackage[top=1.5cm,bottom=1.5cm,left=1.5cm,right=1.5cm]{geometry} +\usepackage[utf8]{inputenc} +\usepackage[italian]{babel} +\usepackage{amsmath,amssymb,amsfonts,amsthm,stmaryrd} +\usepackage{mathrsfs} % per mathscr +\usepackage{graphicx}% ruota freccia per le azioni +\usepackage{marvosym}% per il \Lightning +\usepackage{array} +\usepackage{faktor} % per gli insiemi quoziente +\usepackage[colorlinks=false]{hyperref} +\usepackage{xparse} % Per nuovi comandi con tanti input opzionali +\usepackage{relsize} % per \mathlarger +\usepackage{tikz-cd} +\usepackage{multicol} +\usepackage{multirow} +\usepackage{cancel} +\usepackage{fourier} +\usepackage{enumerate} +\usepackage{soul} +\usepackage{nicefrac} +\usepackage{longtable} +\usepackage{pdflscape} +\usepackage{mathtools} + +\newtheorem*{warn}{\warning \; Attenzione} + +\newtheoremstyle{customth} +{\topsep}{\topsep} +{\itshape}{}{\bfseries}{.}{\newline}{} + +\newtheoremstyle{customdef} +{\topsep}{\topsep} +{\normalfont}{}{\bfseries}{.}{\newline}{} + +\newtheoremstyle{customrem} +{\topsep}{\topsep} +{\normalfont}{}{\itshape}{.}{\newline}{} + +\usepackage{fourier} + +\theoremstyle{customth} +\newtheorem{theorem}{Teorema}[chapter] +\newtheorem{lemma}[theorem]{Lemma} +\newtheorem{corollary}[theorem]{Corollario} +\newtheorem{proposition}[theorem]{Proposizione} +\newtheorem{fact}[theorem]{Fatto} +\newtheorem{application}[theorem]{Applicazione} +\theoremstyle{customrem} +\newtheorem{remark}[theorem]{Osservazione\,} +\theoremstyle{customdef} +\newtheorem{definition}[theorem]{Definizione} +\newtheorem{notation}[theorem]{Notazione} +\newtheorem{example}[theorem]{Esempio} + +\DeclareMathOperator{\BinNeg}{BinNeg} +\DeclareMathOperator{\Geom}{Geom} +\DeclareMathOperator{\Poisson}{Poisson} + +\makeatletter +\renewenvironment{proof}[1][\proofname]{\par + \pushQED{\qed}% + \normalfont \topsep6\p@\@plus6\p@\relax + \trivlist + \item[\hskip\labelsep + \itshape + #1\@addpunct{.}]\mbox{}\\* +}{% + \popQED\endtrivlist\@endpefalse +} +\makeatother + +%============ Simboli standard ================= +\newcommand{\FF}{\mathcal{F}} +\newcommand{\PP}{\mathcal{P}} +\newcommand{\NN}{\mathbb{N}} +\newcommand{\ZZ}{\mathbb{Z}} +\newcommand{\RR}{\mathbb{R}} +\newcommand{\QQ}{\mathbb{Q}} + +\newcommand{\pp}{\text{p\hspace{-0.7em}\raisebox{-3.4pt}{--}}\,\,} +\newcommand{\pbern}{\pp} + + +\newcommand{\defeq}{\overset{\mathrm{def}}{=}} +\newcommand{\deq}{\overset{\mathrm{(d)}}{=}} +\newcommand{\toprob}{\overset{\mathbb{P}}{\to}} +\DeclareMathOperator{\VA}{VA} +\DeclareMathOperator{\im}{im} +\DeclareMathOperator{\supp}{supp} +\DeclareMathOperator{\id}{id} +\DeclareMathOperator{\sgn}{sgn} + +\DeclareMathOperator{\Exp}{Exp} + +\DeclareMathOperator{\CI}{CI} +\newcommand{\eps}{\varepsilon} + +\newcommand*\dif{\mathop{}\!\textnormal{\slshape d}} +\newcommand{\dx}{\dif{x}} +\newcommand{\dy}{\dif{y}} +\newcommand{\dz}{\dif{z}} +\newcommand{\dt}{\dif{t}} +\newcommand{\dP}{\dif{P}} +\newcommand{\dm}{\dif{\mathrm{\ \!\!m}}} + + +%\setcounter{secnumdepth}{1} + +\newcommand{\groupto}{\rightrightarrows} + +\newcommand{\restr}[2]{ + #1\arrowvert_{#2} +} + +\makeatletter +\def\moverlay{\mathpalette\mov@rlay} +\def\mov@rlay#1#2{\leavevmode\vtop{% + \baselineskip\z@skip \lineskiplimit-\maxdimen + \ialign{\hfil$\m@th#1##$\hfil\cr#2\crcr}}} +\newcommand{\charfusion}[3][\mathord]{ + #1{\ifx#1\mathop\vphantom{#2}\fi + \mathpalette\mov@rlay{#2\cr#3} + } + \ifx#1\mathop\expandafter\displaylimits\fi} +\makeatother + +\newcommand{\cupdot}{\charfusion[\mathbin]{\cup}{\cdot}} +\newcommand{\bigcupdot}{\charfusion[\mathop]{\bigcup}{\cdot}} + +\newcommand{\goesup}{\nearrow} +\newcommand{\goesdown}{\searrow} +\newcommand{\qc}{q.c.\ \!} +\newcommand{\qo}{q.o.\ \!} +\newcommand{\va}{v.a.\ \!} + +\newcommand{\BB}{\mathcal{B}} +\newcommand{\EE}{\mathbb{E}} +\DeclareMathOperator{\Var}{Var} +\DeclareMathOperator{\Cov}{Cov} + +\newcommand{\cS}{\mathcal{S}} + +\newcommand{\inv}{^{-1}} + +\newcommand{\abs}[1]{\left\lvert #1 \right\rvert} +\newcommand{\norm}[1]{\left\lVert #1 \right\rVert} + + +\NeedsTeXFormat{LaTeX2e} +%\ProvidesPackage{quiver}[2021/01/11 quiver] + +% `tikz-cd` is necessary to draw commutative diagrams. +\RequirePackage{tikz-cd} +% `amssymb` is necessary for `\lrcorner` and `\ulcorner`. +\RequirePackage{amssymb} +% `calc` is necessary to draw curved arrows. +\usetikzlibrary{calc} +% `pathmorphing` is necessary to draw squiggly arrows. +\usetikzlibrary{decorations.pathmorphing} + +% A TikZ style for curved arrows of a fixed height, due to AndréC. +\tikzset{curve/.style={settings={#1},to path={(\tikztostart) + .. controls ($(\tikztostart)!\pv{pos}!(\tikztotarget)!\pv{height}!270:(\tikztotarget)$) + and ($(\tikztostart)!1-\pv{pos}!(\tikztotarget)!\pv{height}!270:(\tikztotarget)$) + .. (\tikztotarget)\tikztonodes}}, + settings/.code={\tikzset{quiver/.cd,#1} + \def\pv##1{\pgfkeysvalueof{/tikz/quiver/##1}}}, + quiver/.cd,pos/.initial=0.35,height/.initial=0} + +% TikZ arrowhead/tail styles. +\tikzset{tail reversed/.code={\pgfsetarrowsstart{tikzcd to}}} +\tikzset{2tail/.code={\pgfsetarrowsstart{Implies[reversed]}}} +\tikzset{2tail reversed/.code={\pgfsetarrowsstart{Implies}}} +% TikZ arrow styles. +\tikzset{no body/.style={/tikz/dash pattern=on 0 off 1mm}} diff --git a/Corsi/Geometria e topologia differenziale/Scheda riassuntiva/sections/0-notazioni.tex b/Corsi/Geometria e topologia differenziale/Scheda riassuntiva/sections/0-notazioni.tex new file mode 100644 index 0000000..a37d85a --- /dev/null +++ b/Corsi/Geometria e topologia differenziale/Scheda riassuntiva/sections/0-notazioni.tex @@ -0,0 +1,13 @@ +%-------------------------------------------------------------------- +\chapter*{Notazioni impiegate} +\addcontentsline{toc}{chapter}{Notazioni impiegate} +\setlength{\parindent}{2pt} + +\begin{multicols*}{2} + \section*{Analisi o quel che è} + \addcontentsline{toc}{section}{Analisi o quel che è} + + \begin{itemize} + \item uwu. + \end{itemize} +\end{multicols*} diff --git a/Corsi/Geometria e topologia differenziale/Scheda riassuntiva/sections/0-prerequisiti.tex b/Corsi/Geometria e topologia differenziale/Scheda riassuntiva/sections/0-prerequisiti.tex new file mode 100644 index 0000000..df1c8ae --- /dev/null +++ b/Corsi/Geometria e topologia differenziale/Scheda riassuntiva/sections/0-prerequisiti.tex @@ -0,0 +1,15 @@ +%-------------------------------------------------------------------- +\chapter*{Prerequisiti matematici} +\addcontentsline{toc}{chapter}{Prerequisiti matematici} +\setlength{\parindent}{2pt} + +\begin{multicols*}{2} + + \section*{Analisi matematica e teoria della misura} + \addcontentsline{toc}{section}{Analisi matematica e teoria della misura} + + \begin{itemize} + \item $\text{uwu}^2$. + \end{itemize} + +\end{multicols*} \ No newline at end of file diff --git a/Corsi/Geometria e topologia differenziale/Scheda riassuntiva/sections/1-curve.tex b/Corsi/Geometria e topologia differenziale/Scheda riassuntiva/sections/1-curve.tex new file mode 100644 index 0000000..630c2aa --- /dev/null +++ b/Corsi/Geometria e topologia differenziale/Scheda riassuntiva/sections/1-curve.tex @@ -0,0 +1,7 @@ +%-------------------------------------------------------------------- +\chapter{Teoria delle curve} +\setlength{\parindent}{2pt} + +\begin{multicols*}{2} + +\end{multicols*}