Differentialrechnung

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(Fourier-Transformation)
(Laplace-Transformation)
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== Fourier-Transformation ==
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== [http://de.wikipedia.org/wiki/Fourier-Transformation Fourier-Transformation] ==
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Bildfunktion <math>F(j\omega) = \mathcal {F}\{f(t)\} = \int_{-\infty}^{\infty} f(t)\, e^{-j\omega t} dt</math>
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Bildfunktion <math>F(j\omega) = \mathcal F\{f(t)\} = \int_{-\infty}^\infty f(t)\, e^{-j\omega t} dt</math>
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== [http://de.wikipedia.org/wiki/Laplace-Transformation Laplace-Transformation] ==
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Originalfunktion, Oberfunktion:
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<math>f(t) = \mathcal L^{-1}\{f(t)\} = \frac 1 {2j\pi} \int_{\beta-j\omega}^{\beta+j\omega} F(s)\, e^{s t} ds = </math>
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Laplace-Transformierte, Unterfunktion, Bildfunktion:
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<math>F(s) = \mathcal L\{f(t)\} = \int_0^\infty f(t)\, e^{-s t} dt</math>
[[category:Mathematik]]
[[category:Mathematik]]

Revision as of 11:24, 17 September 2008

Funktion MathImage Ableitung MathImage Integral MathImage
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Contents

Integrationsregeln

MathImage

MathImage

MathImage

MathImage

MathImage

MathImage

MathImage

MathImage unbestimmtes Integral

MathImage

MathImage

Integration durch Substitution:

MathImage oder

MathImage

partielle Integration:

MathImage oder MathImage oder

MathImage

weitere Integrale

Funktion MathImage Integral MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage
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MathImage MathImage
MathImage MathImage
MathImage MathImage
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MathImage MathImage
MathImage MathImage
MathImage MathImage(Kreisintegral)
MathImage MathImage
MathImage MathImage
MathImage MathImage

Integralfunktionen

Integralsinus MathImage Eulersche Konstante MathImage
Integralcosinus MathImage
Exponentialintegral MathImage
Integrallogarithmus MathImage
Gaußsches Fehlerintegral MathImage


Fourier-Transformation

Bildfunktion MathImage


Laplace-Transformation

Originalfunktion, Oberfunktion:

MathImage

Laplace-Transformierte, Unterfunktion, Bildfunktion:

MathImage

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