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fix(geometria/scheda): elimina un typo
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@@ -7,7 +7,7 @@
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Il corso di Geometria 1 è terminato, ma questa cartella vedrà ancora aggiornamenti per il momento. Gli appunti non sono stati presi con gli stessi strumenti sin dall'inizio: in particolar modo,
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ho iniziato a prendere appunti con [Microsoft Journal](https://apps.microsoft.com/store/detail/microsoft-journal/9N318R854RHH?hl=it-it&gl=it), per poi passare definitivamente a prenderli in LaTeX con [TeXstudio](https://www.texstudio.org/). Alcuni appunti sono ancora in corso di revisione (troverete \[WIP\] nel titolo o un breve avviso all'inizio del documento), ma sono sostanzialmente completi.
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La cartella contiene in particolar modo una [Scheda riassuntiva](https://g1.hearot.it), che, come dice il nome, vorrebbe essere un recap di
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La cartella contiene in particolar modo una [Scheda riassuntiva](https://g1.hearot.it), che, come suggerisce il nome, vorrebbe essere un recap di
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tutti i risultati principali dell'algebra lineare e della geometria del primo anno. Questo progetto non sarebbe mai stato realizzabile senza il meraviglioso
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aiuto di alcuni miei amici e colleghi, che ora elenco:
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@@ -327,49 +327,45 @@ endobj
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endobj
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185 0 obj
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<<
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/Length 9396
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/Length 9425
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trailer
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||||
<< /Size 449
|
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/Root 447 0 R
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/Info 448 0 R
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/ID [<BDA63B0C8D8FEB93F5942536EF315A3D> <BDA63B0C8D8FEB93F5942536EF315A3D>] >>
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/ID [<77E9BF58E9BAEEE84517F5C6114E178D> <77E9BF58E9BAEEE84517F5C6114E178D>] >>
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||||
startxref
|
||||
471679
|
||||
471708
|
||||
%%EOF
|
||||
|
||||
@@ -236,7 +236,7 @@
|
||||
iperpiano è il kernel di un funzionale $f \in \dual{V}$, e $M^\basis_{1_\KK}(f) \, [\vec{v}]_\basis = 0$ è l'equazione cartesiana; è sufficiente prendere una base di $\Pi$ e completarla
|
||||
a base di $V$ con un vettore $\vec{t}$, considerando infine
|
||||
$\Ker \dual{\vec{t}}$),
|
||||
\item un iperpiano $\Pi$, rappresentato da un'equazione cartesiana $\alpha_1 x_1 + \ldots + \alpha_n x_n = 0$, è esattamente il sottospazio ortogonale a $\Span(\alpha_1, \ldots, \alpha_n)^\perp$ tramite il prodotto scalare standard,
|
||||
\item un iperpiano $\Pi$, rappresentato da un'equazione cartesiana $\alpha_1 x_1 + \ldots + \alpha_n x_n = 0$, è in $\KK^n$ esattamente il sottospazio ortogonale a $(\alpha_1, \ldots, \alpha_n)^\top$ tramite il prodotto scalare standard,
|
||||
\item in generale, un sistema di equazioni omogenee è l'intersezione di più
|
||||
sottospazi ortogonali,
|
||||
\item se $\mathbb{F}$ è un'estensione di campo di $\KK$, allora vale $[V : \KK] = [V : \mathbb{F}] [\mathbb{F} : \KK]$ (\textit{teorema delle torri algebriche}).
|
||||
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Reference in New Issue
Block a user