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ich war hier: TutoriumMathe3Laplace

Revision history for TutoriumMathe3Laplace


Revision [73293]

Last edited on 2016-10-19 17:45:12 by Jorina Lossau
Additions:
||Verschiebungsregel (Versch. nach rechts)||f(t-a)||{{image url="Funktion19.jpg" width="80" class="center"}}
e^(-sα)F(s)||{{image url="Funktion20.jpg" width="90" class="center"}}
e^(δt)cos(ωt) ||{{image url="Funktion21.jpg" width="90" class="center"}}
(s+δ)/((s+δ)^2+ω^2)||
Deletions:
||Verschiebungsregel (Versch. nach rechts)||f(t-a)||{{image url="Funktion19.jpg" width="80" class="center"}}||{{image url="Funktion20.jpg" width="90" class="center"}} ||{{image url="Funktion21.jpg" width="90" class="center"}} ||


Revision [73292]

Edited on 2016-10-19 17:34:41 by Jorina Lossau
Additions:
||Faltungsregel||{{image url="Funktion16.jpg" width="200" class="center"}}
f(t)*g(t)*g(t)=∫f(ξ)g(t-ξ)dξ wobei ∫ von 0 bis t||F(s)* G(s)||{{image url="Funktion17.jpg" width="100" class="center"}}
e^(-δt)sin(ωt)||{{image url="Funktion18.jpg" width="100" class="center"}}
ω/((s+δ)^2+ω^2) ||
Deletions:
||Faltungsregel||{{image url="Funktion16.jpg" width="200" class="center"}}||F(s)* G(s)||{{image url="Funktion17.jpg" width="100" class="center"}} ||{{image url="Funktion18.jpg" width="100" class="center"}} ||


Revision [73291]

Edited on 2016-10-19 17:21:35 by Jorina Lossau
Additions:
||Dämpfungsregel||{{image url="Funktion12.jpg" width="50" class="center"}}
e^(αt)f(t)||{{image url="Funktion13.jpg" width="50" class="center"}}
F(s-α)||{{image url="Funktion14.jpg" width="60" class="center"}}
cos(ωt) ||{{image url="Funktion15.jpg" width="60" class="center"}}
s/(s^2+ω^2)||
Deletions:
||Dämpfungsregel||{{image url="Funktion12.jpg" width="50" class="center"}}||{{image url="Funktion13.jpg" width="50" class="center"}}||{{image url="Funktion14.jpg" width="60" class="center"}} ||{{image url="Funktion15.jpg" width="60" class="center"}} ||


Revision [73290]

Edited on 2016-10-19 17:17:51 by Jorina Lossau
Additions:
||Integrationsregel||{{image url="Funktion8.jpg" width="80" class="center"}}
∫f(ξ)dξ wobei ∫ von 0 bis 1||{{image url="Funktion9.jpg" width="50" class="center"}}
(1/s)F(s)||{{image url="Funktion10.jpg" width="60" class="center"}}
sin(ωt) ||{{image url="Funktion11.jpg" width="60" class="center"}}
ω/(s^2+ω^2) ||
Deletions:
||Integrationsregel||{{image url="Funktion8.jpg" width="80" class="center"}}||{{image url="Funktion9.jpg" width="50" class="center"}}||{{image url="Funktion10.jpg" width="60" class="center"}} ||{{image url="Funktion11.jpg" width="60" class="center"}} ||


Revision [73289]

Edited on 2016-10-19 17:10:10 by Jorina Lossau
Additions:
||Differentationsregel (n-te) ||f^ n(t) ||{{image url="Funktion7.jpg" width="200" class="center"}}
s^nF(s)-s^(n-1)f(0)-s^(n-2)j(0)-..-sf^(n-2)(0)-f^(n-1)(0) ||t^ n ||n!/s^(n+1) ||
Deletions:
||Differentationsregel (n-te) ||f^ n(t) ||{{image url="Funktion7.jpg" width="200" class="center"}} ||t^ n ||n!/s^(n+1) ||


Revision [73288]

Edited on 2016-10-19 16:01:56 by Jorina Lossau
Additions:
||Linearitätsregel ||{{image url="Funktion1.jpg" width="200" class="center"}}
λt(t)+μg(t) wobei λ,μЄR ||{{image url="Funktion2.jpg" width="100" class="center"}}
λF(s)+μG(s) ||{{image url="Funktion3.jpg" width="37" class="center"}}
e^(αt) ||{{image url="Funktion4.jpg" width="40" class="center"}}
1/(s-α) ||
||Differentationsregel (1.) ||{{image url="Funktion5.jpg" width="27" class="center"}}
f.(t)||s F(s) - f(0) ||t ||1/s² ||
||Differentationsregel (2.) ||{{image url="Funktion6.jpg" width="30" class="center"}}
f..(t)||s² F(s) - s f(0) ||t² ||2/s³ ||
Deletions:
||Linearitätsregel ||{{image url="Funktion1.jpg" width="200" class="center"}} ||{{image url="Funktion2.jpg" width="100" class="center"}} ||{{image url="Funktion3.jpg" width="37" class="center"}} ||{{image url="Funktion4.jpg" width="40" class="center"}} ||
||Differentationsregel (1.) ||{{image url="Funktion5.jpg" width="27" class="center"}}||s F(s) - f(0) ||t ||1/s² ||
||Differentationsregel (2.) ||{{image url="Funktion6.jpg" width="30" class="center"}}||s² F(s) - s f(0) ||t² ||2/s³ ||


Revision [58645]

Edited on 2015-09-03 09:55:51 by Jorina Lossau
Deletions:
{{files}}


Revision [58640]

Edited on 2015-09-03 09:47:37 by Jorina Lossau
Additions:
||Verschiebungsregel (Versch. nach rechts)||f(t-a)||{{image url="Funktion19.jpg" width="80" class="center"}}||{{image url="Funktion20.jpg" width="90" class="center"}} ||{{image url="Funktion21.jpg" width="90" class="center"}} ||
Deletions:
||Verschiebungsregel (Versch. nach rechts)||f(t-a)||{{image url="Funktion19.jpg" width="50" class="center"}}||{{image url="Funktion20.jpg" width="60" class="center"}} ||{{image url="Funktion21.jpg" width="60" class="center"}} ||


Revision [58637]

Edited on 2015-09-03 09:31:01 by Jorina Lossau
Additions:
||Verschiebungsregel (Versch. nach rechts)||f(t-a)||{{image url="Funktion19.jpg" width="50" class="center"}}||{{image url="Funktion20.jpg" width="60" class="center"}} ||{{image url="Funktion21.jpg" width="60" class="center"}} ||


Revision [58636]

Edited on 2015-09-03 09:02:56 by Jorina Lossau
Additions:
||Faltungsregel||{{image url="Funktion16.jpg" width="200" class="center"}}||F(s)* G(s)||{{image url="Funktion17.jpg" width="100" class="center"}} ||{{image url="Funktion18.jpg" width="100" class="center"}} ||
Deletions:
||Faltungsregel||{{image url="Funktion16.jpg" width="200" class="center"}}||F(s)* G(s)||{{image url="Funktion17.jpg" width="100" class="center"}} ||{{image url="Funktion18.jpg" width="60" class="center"}} ||


Revision [58635]

Edited on 2015-09-03 08:58:18 by Jorina Lossau
Additions:
||Faltungsregel||{{image url="Funktion16.jpg" width="200" class="center"}}||F(s)* G(s)||{{image url="Funktion17.jpg" width="100" class="center"}} ||{{image url="Funktion18.jpg" width="60" class="center"}} ||
Deletions:
||Faltungsregel||{{image url="Funktion16.jpg" width="200" class="center"}}||F(s)* G(s)||{{image url="Funktion17.jpg" width="60" class="center"}} ||{{image url="Funktion18.jpg" width="60" class="center"}} ||


Revision [58634]

Edited on 2015-09-03 08:48:31 by Jorina Lossau
Additions:
||Faltungsregel||{{image url="Funktion16.jpg" width="200" class="center"}}||F(s)* G(s)||{{image url="Funktion17.jpg" width="60" class="center"}} ||{{image url="Funktion18.jpg" width="60" class="center"}} ||
Deletions:
||Faltungsregel||{{image url="Funktion16.jpg" width="50" class="center"}}||F(s)* G(s)||{{image url="Funktion17.jpg" width="60" class="center"}} ||{{image url="Funktion18.jpg" width="60" class="center"}} ||


Revision [58632]

Edited on 2015-09-03 08:39:36 by Jorina Lossau
Additions:
||Faltungsregel||{{image url="Funktion16.jpg" width="50" class="center"}}||F(s)* G(s)||{{image url="Funktion17.jpg" width="60" class="center"}} ||{{image url="Funktion18.jpg" width="60" class="center"}} ||


Revision [58587]

Edited on 2015-09-02 09:33:10 by Jorina Lossau
Additions:
||Dämpfungsregel||{{image url="Funktion12.jpg" width="50" class="center"}}||{{image url="Funktion13.jpg" width="50" class="center"}}||{{image url="Funktion14.jpg" width="60" class="center"}} ||{{image url="Funktion15.jpg" width="60" class="center"}} ||
Deletions:
||Dämpfungsregel||{{image url="Funktion12.jpg" width="80" class="center"}}||{{image url="Funktion13.jpg" width="50" class="center"}}||{{image url="Funktion14.jpg" width="60" class="center"}} ||{{image url="Funktion15.jpg" width="60" class="center"}} ||


Revision [58585]

Edited on 2015-09-02 09:22:30 by Jorina Lossau
Additions:
||Dämpfungsregel||{{image url="Funktion12.jpg" width="80" class="center"}}||{{image url="Funktion13.jpg" width="50" class="center"}}||{{image url="Funktion14.jpg" width="60" class="center"}} ||{{image url="Funktion15.jpg" width="60" class="center"}} ||


Revision [58584]

Edited on 2015-09-02 08:58:00 by Jorina Lossau
Additions:
||Integrationsregel||{{image url="Funktion8.jpg" width="80" class="center"}}||{{image url="Funktion9.jpg" width="50" class="center"}}||{{image url="Funktion10.jpg" width="60" class="center"}} ||{{image url="Funktion11.jpg" width="60" class="center"}} ||
Deletions:
||Integrationsregel||{{image url="Funktion8.jpg" width="80" class="center"}}||{{image url="Funktion9.jpg" width="50" class="center"}}||{{image url="Funktion10.jpg" width="37" class="center"}} ||{{image url="Funktion11.jpg" width="40" class="center"}} ||


Revision [58583]

Edited on 2015-09-02 08:57:00 by Jorina Lossau
Additions:
||Integrationsregel||{{image url="Funktion8.jpg" width="80" class="center"}}||{{image url="Funktion9.jpg" width="50" class="center"}}||{{image url="Funktion10.jpg" width="37" class="center"}} ||{{image url="Funktion11.jpg" width="40" class="center"}} ||
Deletions:
||Integrationsregel||{{image url="Funktion8.jpg" width="80" class="center"}}||{{image url="Funktion9.jpg" width="100" class="center"}}||{{image url="Funktion10.jpg" width="37" class="center"}} ||{{image url="Funktion11.jpg" width="40" class="center"}} ||


Revision [58582]

Edited on 2015-09-02 08:56:36 by Jorina Lossau
Additions:
||Integrationsregel||{{image url="Funktion8.jpg" width="80" class="center"}}||{{image url="Funktion9.jpg" width="100" class="center"}}||{{image url="Funktion10.jpg" width="37" class="center"}} ||{{image url="Funktion11.jpg" width="40" class="center"}} ||
Deletions:
||Integrationsregel||{{image url="Funktion8.jpg" width="200" class="center"}}||{{image url="Funktion9.jpg" width="100" class="center"}}||{{image url="Funktion10.jpg" width="37" class="center"}} ||{{image url="Funktion11.jpg" width="40" class="center"}} ||


Revision [58581]

Edited on 2015-09-02 08:51:27 by Jorina Lossau
Additions:
||Integrationsregel||{{image url="Funktion8.jpg" width="200" class="center"}}||{{image url="Funktion9.jpg" width="100" class="center"}}||{{image url="Funktion10.jpg" width="37" class="center"}} ||{{image url="Funktion11.jpg" width="40" class="center"}} ||


Revision [58580]

Edited on 2015-09-02 08:27:58 by Jorina Lossau
Additions:
||Differentationsregel (n-te) ||f^ n(t) ||{{image url="Funktion7.jpg" width="200" class="center"}} ||t^ n ||n!/s^(n+1) ||
Deletions:
||Differentationsregel (n-te) ||f^ n(t) ||{{image url="Funktion7.jpg" width="30" class="center"}} ||t^ n ||n!/s^(n+1) ||


Revision [58579]

Edited on 2015-09-02 08:27:03 by Jorina Lossau
Additions:
||Differentationsregel (n-te) ||f^ n(t) ||{{image url="Funktion7.jpg" width="30" class="center"}} ||t^ n ||n!/s^(n+1) ||


Revision [58578]

Edited on 2015-09-02 07:59:44 by Jorina Lossau
Additions:
||Differentationsregel (2.) ||{{image url="Funktion6.jpg" width="30" class="center"}}||s² F(s) - s f(0) ||t² ||2/s³ ||
Deletions:
||Differentationsregel (2.) ||{{image url="Funktion6.jpg" width="27" class="center"}}||s² F(s) - s f(0) ||t² ||2/s³ ||


Revision [58577]

Edited on 2015-09-02 07:56:55 by Jorina Lossau
Additions:
||Differentationsregel (2.) ||{{image url="Funktion6.jpg" width="27" class="center"}}||s² F(s) - s f(0) ||t² ||2/s³ ||


Revision [58576]

Edited on 2015-09-02 07:41:03 by Jorina Lossau
Additions:
||Differentationsregel (1.) ||{{image url="Funktion5.jpg" width="27" class="center"}}||s F(s) - f(0) ||t ||1/s² ||
Deletions:
||Differentationsregel (1.) ||{{image url="Funktion5.jpg" width="37" class="center"}}||s F(s) - f(0) ||t ||1/s² ||


Revision [58575]

Edited on 2015-09-02 07:37:21 by Jorina Lossau
Additions:
||Differentationsregel (1.) ||{{image url="Funktion5.jpg" width="37" class="center"}}||s F(s) - f(0) ||t ||1/s² ||


Revision [58564]

Edited on 2015-09-01 12:00:17 by Jorina Lossau
Additions:
||Linearitätsregel ||{{image url="Funktion1.jpg" width="200" class="center"}} ||{{image url="Funktion2.jpg" width="100" class="center"}} ||{{image url="Funktion3.jpg" width="37" class="center"}} ||{{image url="Funktion4.jpg" width="40" class="center"}} ||
Deletions:
||Linearitätsregel ||{{image url="Funktion1.jpg" width="200" class="center"}} ||{{image url="Funktion2.jpg" width="100" class="center"}} ||{{image url="Funktion3.jpg" width="37" class="center"}} || ||


Revision [58563]

Edited on 2015-09-01 11:56:05 by Jorina Lossau
Additions:
||Linearitätsregel ||{{image url="Funktion1.jpg" width="200" class="center"}} ||{{image url="Funktion2.jpg" width="100" class="center"}} ||{{image url="Funktion3.jpg" width="37" class="center"}} || ||
Deletions:
||Linearitätsregel ||{{image url="Funktion1.jpg" width="200" class="center"}} ||{{image url="Funktion2.jpg" width="100" class="center"}} || || ||


Revision [58562]

Edited on 2015-09-01 11:52:11 by Jorina Lossau
Additions:
||Linearitätsregel ||{{image url="Funktion1.jpg" width="200" class="center"}} ||{{image url="Funktion2.jpg" width="100" class="center"}} || || ||
Deletions:
||Linearitätsregel ||{{image url="Funktion1.jpg" width="200" class="center"}} || || || ||


Revision [58561]

Edited on 2015-09-01 11:49:13 by Jorina Lossau
Additions:
||Linearitätsregel ||{{image url="Funktion1.jpg" width="200" class="center"}} || || || ||
Deletions:
{{image url="Mathe3Laplace.jpg" width="800" class="center"}}
||Linearitätsregel ||{{image url="Funktion1.jpg" width="250" class="center"}} || || || ||


Revision [58560]

Edited on 2015-09-01 11:48:18 by Jorina Lossau
Additions:
|=| |=|Originalbereich, Zeitbereich |=|Bildbereich |=|Originalfunktion, Zeitfunktion |=|Bildfunktion||
|| ||f(t), g(t)||F (s), G (s)||1||1/s||
||Linearitätsregel ||{{image url="Funktion1.jpg" width="250" class="center"}} || || || ||
||**{{files download="Mathe3Laplace.pdf"text="PDF Dokument Laplace - Transformation"}}**||
Deletions:
|| ||Originalbereich||Bildbereich||Originalfunktion/ Zeitfunktion||Bildfunktion||
||Linearitätsregel|| || || || ||


Revision [58559]

Edited on 2015-09-01 11:35:56 by Jorina Lossau
Additions:
{{files}}
**Wichtige Rechenregeln und ausgewählte Korrespondenzen der Laplace – Transformation**
|| ||Originalbereich||Bildbereich||Originalfunktion/ Zeitfunktion||Bildfunktion||
||Linearitätsregel|| || || || ||
Deletions:
||cell1||cell2||
||**{{files download="Mathe3Laplace.pdf"text="PDF Dokument Laplace - Transformation"}}**||


Revision [58558]

Edited on 2015-09-01 11:21:30 by Jorina Lossau
Additions:
||cell1||cell2||


Revision [43612]

Edited on 2014-08-26 00:48:45 by Jorina Lossau
Deletions:
{{files}}


Revision [43611]

Edited on 2014-08-26 00:48:22 by Jorina Lossau
Additions:
{{image url="Mathe3Laplace.jpg" width="800" class="center"}}
Deletions:
{{image url="Mathe3Laplace.jpg" width="600" class="center"}}


Revision [43610]

Edited on 2014-08-26 00:46:43 by Jorina Lossau
Additions:
{{image url="Mathe3Laplace.jpg" width="600" class="center"}}
||**{{files download="Mathe3Laplace.pdf"text="PDF Dokument Laplace - Transformation"}}**||
**>>[[Mathe3Tutorien Zurück zur Auswahl]]>>**


Revision [43609]

The oldest known version of this page was created on 2014-08-26 00:41:51 by Jorina Lossau
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