Fixed Incorrect Formula
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alexander
2025-12-14 23:25:51 +01:00
parent 20c65ae855
commit bb73ee298a

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@@ -44,12 +44,41 @@
align(left, block(e))
}
#let colorAllgemein = color.hsl(105.13deg, 92.13%, 75.1%)
#let colorFolgen = color.hsl(202.05deg, 92.13%, 75.1%)
#let colorReihen = color.hsl(280deg, 92.13%, 75.1%)
#let colorAbleitung = color.hsl(356.92deg, 92.13%, 75.1%)
#let colorIntegral = color.hsl(34.87deg, 92.13%, 75.1%)
#columns(5, gutter: 2mm)[
#columns(4, gutter: 2mm)[
#subHeading(fill: colorAllgemein, it: [Allgemeins])
#grid(
columns: (auto, auto),
row-gutter: 2mm,
column-gutter: 3mm,
[Dreiecksungleichung], [
$abs(x + y) <= abs(x) + abs(y)$ \
$abs(abs(x) - abs(y)) <= abs(x - y)$
],
[Cauchy-Schwarz-Ungleichung], [
$abs(x dot y) <= abs(abs(x) dot abs(y))$
],
[Geometrische Summenformel], [
#MathAlignLeft($ sum_(k=1)^(n) k = (n(n+1))/2 $)
],
[Bernoulli-Ungleichung ], [
$(1 + a)^n >= 1 + n a$
],
[Binomialkoeffizient], [
$binom(n, k) = (n!)/(k!(n-k)!)$
],
[Binomische Formel], [
#MathAlignLeft($ (a + b)^n = sum^(n)_(k=0) binom(n,k) a^(n-k) b^k $)
],
[Fakultäten], [$ 0! = 1! = 1 $],
)
#subHeading(fill: colorFolgen, it: [Folgen])
$ lim_(x -> infinity) a_n $
@@ -63,11 +92,11 @@
#grid(columns: (1fr, 1fr),
gutter: 1mm,
row-gutter: 2mm,
align(top+center, [*Fallend*]), align(top+center, [*Fallend*]),
align(top+center, [*Fallend*]), align(top+center, [*Steigend*]),
[$ a_(n+1) <= a_(n) $],
[$ a_(n+1) >= a_(n) $],
[$ a_(n+1)/a_(n) > 1 $],
[$ a_(n+1)/a_(n) < 1 $],
[$ a_(n+1)/a_(n) > 1 $],
)
*Konvergentz Allgemein*