From eee9d0d9873a4a9cd54a5c0d0e19f839e660c9ef Mon Sep 17 00:00:00 2001 From: Hearot Date: Fri, 16 Jun 2023 22:45:09 +0200 Subject: [PATCH] chore(geometria): aggiunge gli appunti universitari mancanti --- ..., W) e matrice di cambiamento di base.pdf} | Bin ...f => 2. Endomorfismi e SD-equivalenza.pdf} | Bin ...f => 3. App. bilineari e multilineari.pdf} | Bin ...ultilineari alternanti e determinante.pdf} | Bin ... uno spazio (e altri spazi noti) [WIP].pdf | Bin 0 -> 1494525 bytes ...ss.pdf => 1. Metodo di elim. di Gauss.pdf} | Bin ... scala ridotta e proprietà del rango.pdf} | Bin Geometria 1/README.md | 4 ++-- .../main.pdf | Bin 224746 -> 224613 bytes .../main.tex | 9 +++++---- ...omio caratteristico e polinomio minimo.pdf | Bin 0 -> 6041867 bytes ...tenti e forma canonica di Jordan [WIP].pdf | Bin 0 -> 6146972 bytes 12 files changed, 7 insertions(+), 6 deletions(-) rename Geometria 1/App. lineari/{L(V, W) e matrice di cambiamento.pdf => 1. L(V, W) e matrice di cambiamento di base.pdf} (100%) rename Geometria 1/App. lineari/{Endomorfismi e SD-equivalenza.pdf => 2. Endomorfismi e SD-equivalenza.pdf} (100%) rename Geometria 1/App. lineari/{App. bilineari e multilineari.pdf => 3. App. bilineari e multilineari.pdf} (100%) rename Geometria 1/App. lineari/{Multilineari alternanti e determinante.pdf => 4. Multilineari alternanti e determinante.pdf} (100%) create mode 100644 Geometria 1/App. lineari/5. Il duale di uno spazio (e altri spazi noti) [WIP].pdf rename Geometria 1/Matrici/{Metodo di elim. di Gauss.pdf => 1. Metodo di elim. di Gauss.pdf} (100%) rename Geometria 1/Matrici/{Matrici a scala ridotta e proprietà del rango.pdf => 2. Matrici a scala ridotta e proprietà del rango.pdf} (100%) create mode 100644 Geometria 1/Teoria spettrale degli endomorfismi/1. Spettro, polinomio caratteristico e polinomio minimo.pdf create mode 100644 Geometria 1/Teoria spettrale degli endomorfismi/2. App. nilpotenti e forma canonica di Jordan [WIP].pdf diff --git a/Geometria 1/App. lineari/L(V, W) e matrice di cambiamento.pdf b/Geometria 1/App. lineari/1. L(V, W) e matrice di cambiamento di base.pdf similarity index 100% rename from Geometria 1/App. lineari/L(V, W) e matrice di cambiamento.pdf rename to Geometria 1/App. lineari/1. L(V, W) e matrice di cambiamento di base.pdf diff --git a/Geometria 1/App. lineari/Endomorfismi e SD-equivalenza.pdf b/Geometria 1/App. lineari/2. Endomorfismi e SD-equivalenza.pdf similarity index 100% rename from Geometria 1/App. lineari/Endomorfismi e SD-equivalenza.pdf rename to Geometria 1/App. lineari/2. Endomorfismi e SD-equivalenza.pdf diff --git a/Geometria 1/App. lineari/App. bilineari e multilineari.pdf b/Geometria 1/App. lineari/3. App. bilineari e multilineari.pdf similarity index 100% rename from Geometria 1/App. lineari/App. bilineari e multilineari.pdf rename to Geometria 1/App. lineari/3. App. bilineari e multilineari.pdf diff --git a/Geometria 1/App. lineari/Multilineari alternanti e determinante.pdf b/Geometria 1/App. lineari/4. Multilineari alternanti e determinante.pdf similarity index 100% rename from Geometria 1/App. lineari/Multilineari alternanti e determinante.pdf rename to Geometria 1/App. lineari/4. Multilineari alternanti e determinante.pdf diff --git a/Geometria 1/App. lineari/5. Il duale di uno spazio (e altri spazi noti) [WIP].pdf b/Geometria 1/App. lineari/5. 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In particolare manca la dimostrazione della classificazione delle coniche reali, ancora in corso d'opera.}\end{center} \begin{note} Si assume che, nel corso del documento, valga che $\Char \KK \neq 2$. \end{note} - \begin{definition} [quadriche] Si dice \textbf{quadrica} un qualsiasi luogo di zeri + \begin{definition}[quadriche] Si dice \textbf{quadrica} il luogo di zeri di un polinomio $p \in \KK[x_1, \ldots, x_n]$ con $\deg p = 2$. \end{definition} - \begin{definition} [coniche] Si dice \textbf{conica} una quadrica relativa ad un polinomio + \begin{definition}[coniche] Si dice \textbf{conica} una quadrica relativa ad un polinomio in due variabili. \end{definition} @@ -380,9 +380,10 @@ \vskip 0.1in + %TODO: terminare dimostrazione della classificazione \begin{proof} Come già visto precedentemente, la classificazione è completa perché sono comprese tutte le possibili scelte di invarianti, ed è anche ben definita, dacché - due coniche distinte della tabella differiscono di almeno un'invariante. + due coniche distinte della tabella differiscono di almeno un'invariante. [TODO] \end{proof} \end{document} diff --git a/Geometria 1/Teoria spettrale degli endomorfismi/1. Spettro, polinomio caratteristico e polinomio minimo.pdf b/Geometria 1/Teoria spettrale degli endomorfismi/1. 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