Ana at LMU München

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Exemplary flashcards for Ana at the LMU München on StudySmarter:

Sei g:B-->A, f:A-->B.

Wann ist g ein rechts/links - inverses von f?

Was wenn g rechts und linksinvers ist?

Exemplary flashcards for Ana at the LMU München on StudySmarter:

Wann ist ein Reihe absolut konv.?

Exemplary flashcards for Ana at the LMU München on StudySmarter:

Was bedeutet reflexiv?

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Was bedeudet antisymmetrisch?

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Was bedeutet transitiv?

Exemplary flashcards for Ana at the LMU München on StudySmarter:

Was genau ist eine Äquivalenzrelation?

Exemplary flashcards for Ana at the LMU München on StudySmarter:

Eine Fkt sei str. mon?

Welche weitere Eigenschaft kann man daraus schließen?

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Exemplary flashcards for Ana at the LMU München on StudySmarter:

Wie ist Halbordnung def?

Wie ist totale Ordnung def?

Exemplary flashcards for Ana at the LMU München on StudySmarter:

Wann sind 2 Mengen gleich gross? (A,B)

Exemplary flashcards for Ana at the LMU München on StudySmarter:

Wann ist Menge A abzählbar?

wann endlich, unendlich?

Exemplary flashcards for Ana at the LMU München on StudySmarter:

Definiere die komplexe Add. (und Sub.) anhand von a, b EL der kompl. Z.

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Was bedeutet symmetrisch

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Exemplary flashcards for Ana at the LMU München on StudySmarter:

Ana

Sei g:B-->A, f:A-->B.

Wann ist g ein rechts/links - inverses von f?

Was wenn g rechts und linksinvers ist?

Rechts wenn f*g =ID(B)

Links             g*f = ID(A).

Ist g rechts und Linksinverses (bzw invers) ist g(x) = f^-1(x)

Ana

Wann ist ein Reihe absolut konv.?

Wenn auch Betrags-reihe konv..

Ana

Was bedeutet reflexiv?

xRx

Ana

Was bedeudet antisymmetrisch?

(xRy (log.)und yRx) => x=y 

Ana

Was bedeutet transitiv?

xRy und yRz => xRz

Ana

Was genau ist eine Äquivalenzrelation?

Eine Rel. ist Äqu.rel. gdw

antisym., reflexiv, und transitiv

Ana

Eine Fkt sei str. mon?

Welche weitere Eigenschaft kann man daraus schließen?

Inj.

Ana

Wie ist Halbordnung def?

Wie ist totale Ordnung def?

tot. Ord. ist eine totale Halbordung.

Halbordnung ist reflexiv, antisym, transitiv

Ana

Wann sind 2 Mengen gleich gross? (A,B)

GDW es f:A-->B gibt, die bij.

Ana

Wann ist Menge A abzählbar?

wann endlich, unendlich?

Bijektion zw. nat.Zahlen und A existiert --> abzählbar


Endlich wenn eine Bijektion zw. 

A und {1,2,..., n} exitsiert. #A ist nun genau n. Wenn nicht --> A unendl. 

Ana

Definiere die komplexe Add. (und Sub.) anhand von a, b EL der kompl. Z.

a+b = (Rea + Reb, Ima + Imb)

a-b = a + (-b) = (Rea, Ima) +(-Reb, -Imb)

Ana

Was bedeutet symmetrisch

xRy => yRx

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