at Humboldt-Universität Zu Berlin | Flashcards & Summaries

Flashcards and summaries for Lina I * 2020/2021 at the Humboldt-Universität zu Berlin

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Wie umgeht man Probleme mit der Menge, die alle Mengen enthält, die sich nicht selber enthalten, enthält sie dann auch sich?

Nicht erlauben, Menge aller Mengen nicht erlaubt

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Unterschied Menge Tupel

Tupel ist geordnet

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Wie schreibt man eine geordnete Folge von Elementen auf und wie heißt das dann?

n-tupel

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Wann ex. eine inverse Abbildung von f?

Wenn f bijektiv

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Was ist ein anderes Wort für kommutativ?

Abelsch, für komm. Verknüpfungen schreibt man gerne auch +

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Was ist ein Monoid?

Eine Halbgruppe miteinem neutralen Element

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Wie überprüft man, ob etwas eine Gruppe ist?

Existenz von Linksneutralem und Linksinversen

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Was nennt sich ein Isomorphismus einer Gruppe auf sich selbst?

Ein Automorphismus

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Durch was wird der Nullvektorraum aufgespannt?

Def: durch die leere Menge

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Was ist die lineare Hülle?

Der Durchschnitt aller die Teilmenge A \subset V enthaltenden Untervektorräume

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Wann heißt ein VR endlich erzeugt?

Wenn er ein endliches Erzeugendensystem besitzt

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Was ist die interne direkte Summe?

Die Summe U_1+...+U_r wobei die Vektoren u_i\in U_i lineare unabhängig sind

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Lina I * 2020/2021 at Humboldt-Universität zu Berlin

Flashcards and summaries for Lina I * 2020/2021 at the Humboldt-Universität zu Berlin

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Other courses from your degree program

LinA

IHK 2020

ER 2020

ACG 2021

IngHyd_2020/21

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Lina I * 2020/2021 at Humboldt-Universität zu Berlin

Flashcards and summaries for Lina I * 2020/2021 at the Humboldt-Universität zu Berlin

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LinA

IHK 2020

ER 2020

ACG 2021

IngHyd_2020/21

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