Analysis at Universität Halle-Wittenberg

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Was gilt für 0!

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Was bedeutet posiziv definit

Exemplary flashcards for Analysis at the Universität Halle-Wittenberg on StudySmarter:

Was ist eine Ordnungsrelation? 
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Was bedeutet wohlgeordnet

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Was ist ein kartesichen Produkt? 

Exemplary flashcards for Analysis at the Universität Halle-Wittenberg on StudySmarter:

Was ist das archimedische Prinzip? 

Exemplary flashcards for Analysis at the Universität Halle-Wittenberg on StudySmarter:

Was ist eine totale Ordnung? 
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Was ist eine Potenzmenge? 

Exemplary flashcards for Analysis at the Universität Halle-Wittenberg on StudySmarter:

Proposition 3.3.2. Archimedes 

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Was sind disjunkte Mengen? 

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Was ist eine Abbildung? 
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Wie lautet die Dreiechsungleichung

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Exemplary flashcards for Analysis at the Universität Halle-Wittenberg on StudySmarter:

Analysis

Was gilt für 0!
0!=1

Analysis

Was bedeutet posiziv definit
IxI > 0 oder IxI=0

Analysis

Was ist eine Ordnungsrelation? 
Reflexiv xRx
Trabsiziv xRy ^ yRz => xRz
antisymmetrisch xRy ^ yRx => x=y

Analysis

Was bedeutet wohlgeordnet
Jede nichtleere Teilmenge besitzt ein Minimum. 

Analysis

Was ist ein kartesichen Produkt? 
Eine Produktmenge (x, y) 

AxB = {(x, y) l x aus A und y aus B} 

Analysis

Was ist das archimedische Prinzip? 
Für jede reelle Zahl ex. eine natürliche Zahl, die größer ist. 

Ax: En: x < n

Analysis

Was ist eine totale Ordnung? 
Alle Elemte einer menge sind vergleichbar. 

Analysis

Was ist eine Potenzmenge? 
Die Menge aller Teilmengen von M wird als Potenzmenge von M bezeichnet. 

M= {m, n} => P(M) = {{}, {m}, {n}, M} 

Analysis

Proposition 3.3.2. Archimedes 

zu jedem x aus R ex. ein n aus N  so, dass n>x 


Also N ist in R nicht nach oben beschränkt. 

Analysis

Was sind disjunkte Mengen? 
Mengen deren Durchschnitt leer ist. 

Analysis

Was ist eine Abbildung? 
Eine Fkt. 
Jedem x wird genau ein y zugeordnet. 

Analysis

Wie lautet die Dreiechsungleichung
Ix+yI < IxI + IyI
Oder
Ix+yI = IxI + IyI

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