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#471
Dec 21 2010 12:44am
Quote (absynth321 @ 20 Dec 2010 16:24)
Oh nein ein Mathematiker der an Gott glaubt, das sind die schlimmsten :P


ja ich stehe voll aus blasphemie
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#472
Dec 21 2010 05:43am
da morgen der letzte schultag ist, brauceh ich paar matheknobelaufgaben f+r die letzte mathestunde

hätte da wer welche? (keine monsterdinger, ham nur 1 std =D)
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#473
Dec 21 2010 05:47am
Quote (jump1 @ 21 Dec 2010 12:43)
da morgen der letzte schultag ist, brauceh ich paar matheknobelaufgaben f+r die letzte mathestunde

hätte da wer welche? (keine monsterdinger, ham nur 1 std =D)


Exercise 5
Let Σ be a surface of genus 3 and let i : D2?→ Σ be an homeomor-
phic embedding of a 2-dimensional closed disc into Σ. Let T be Σ − Int(i(D2))
(Int is interior). Note that i restricted to the boundary of D2gives a homeo-
morphic embedding of a circle S1(i.e. the boundary of D2) into T. Call this
embedding j. After choosing a point x in the image of j, j determines an element
in π1(T,x). Show that this element is a product of commutators in π1(T,x).
Hint: This should take you maximally 3 lines.
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#474
Dec 21 2010 05:54am
Quote (abcmaster @ Dec 21 2010 01:47pm)
Exercise 5
Let Σ be a surface of genus 3 and let i : D2?→ Σ be an homeomor-
phic embedding of a 2-dimensional closed disc into Σ. Let T be Σ − Int(i(D2))
(Int is interior). Note that i restricted to the boundary of D2gives a homeo-
morphic embedding of a circle S1(i.e. the boundary of D2) into T. Call this
embedding j. After choosing a point x in the image of j, j determines an element
in π1(T,x). Show that this element is a product of commutators in π1(T,x).
Hint: This should take you maximally 3 lines.


Mir fehlen einige der Wörter um das lösen zu können...

This post was edited by incredible on Dec 21 2010 05:54am
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#475
Dec 21 2010 06:15am
Quote (abcmaster @ Dec 21 2010 01:47pm)
Exercise 5
Let Σ be a surface of genus 3 and let i : D2?→ Σ be an homeomor-
phic embedding of a 2-dimensional closed disc into Σ. Let T be Σ − Int(i(D2))
(Int is interior). Note that i restricted to the boundary of D2gives a homeo-
morphic embedding of a circle S1(i.e. the boundary of D2) into T. Call this
embedding j. After choosing a point x in the image of j, j determines an element
in π1(T,x). Show that this element is a product of commutators in π1(T,x).
Hint: This should take you maximally 3 lines.


lol, etwas übertrieben =D
lowere?^^
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#476
Dec 21 2010 06:16am
Quote (abcmaster @ Dec 21 2010 12:47pm)
Exercise 5
Let Σ be a surface of genus 3 and let i : D2?→ Σ be an homeomor-
phic embedding of a 2-dimensional closed disc into Σ. Let T be Σ − Int(i(D2))
(Int is interior). Note that i restricted to the boundary of D2gives a homeo-
morphic embedding of a circle S1(i.e. the boundary of D2) into T. Call this
embedding j. After choosing a point x in the image of j, j determines an element
in π1(T,x). Show that this element is a product of commutators in π1(T,x).
Hint: This should take you maximally 3 lines.


EAHHAEHAEHHAE D2
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#477
Dec 21 2010 06:32am
Quote (Gottesritter @ 20 Dec 2010 15:52)
ich finds witzig, ich studier nicht mal mathe, aber diese aufgaben von der uni freiburg, sowas hatten wir nur kurz als wiederholung im mathevorkurs der 2wochen vorm studium angesetzt wurde, weil für LRT viel zu easy...


dann schmier uns doch mal eben ne lösung hin ;)

ich wage zu bezweifeln, dass du auch nur annähernd saubere und korrekte beweise ablieferst ;) zumal du bei dem kram nicht unbedingt voraussetzen kannst, dass der ganze schulstoff genutzt werden darf
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#478
Dec 22 2010 06:09pm
up
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#479
Dec 22 2010 06:49pm
a² + b² = c²

imo die sinnvollste formel
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#480
Dec 22 2010 06:52pm
Quote (Zwick @ Dec 23 2010 01:49am)
a² + b² = c²

imo die sinnvollste formel


butter + brot = butterbrot

viel praktischer in der anwendung.
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