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30 lines
728 B
Typst
30 lines
728 B
Typst
// Main VL template
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#import "../preamble.typ": *
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// Fix theorems to be shown the right way in this document
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#import "@preview/ctheorems:1.1.3": *
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#show: thmrules
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// Main settings call
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#show: conf.with(
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// May add more flags here in the future
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num: 5,
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type: 0, // 0 normal, 1 exercise
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date: datetime.today().display(),
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//date: datetime(
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// year: 2025,
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// month: 5,
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// day: 1,
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//).display(),
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)
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= Uebersicht
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#theorem[
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Sei $U subset RR^n times RR^n $ offen, $(a,b) in U, f: U -> RR^n $ stetig diffbar mit $f (a,b) = 0$ und $det (partial_(y) f^(i) )_(1 <= i, j <= n) .. (a,b) != 0 $. Dann gibt es eine difbare Funnktion $g: U' -> U''$ sodass gilt
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$
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f (x,y) = 0 "fuer ein " x in U', y in U'' <=> y = g (x).
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$
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]
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