isomorphisms

[US]/ˌaɪsəʊˈmɔːfɪzəmz/
[UK]/ˌaɪsəˈmɔrfɪzəmz/
Frequency: Very High

Translation

n.a mapping between two structures that preserves their relationships and properties
n. en afbildning mellem to strukturer, der bevarer deres relationer og egenskaber

Phrases & Collocations

isomorphisms in math

isomorfier i matematik

isomorphisms and structures

isomorfier og strukturer

isomorphisms of groups

isomorfier af grupper

isomorphisms between sets

isomorfier mellem mængder

isomorphisms in topology

isomorfier i topologi

isomorphisms in algebra

isomorfier i algebra

isomorphisms of vectors

isomorfier af vektorer

isomorphisms and mappings

isomorfier og afbildninger

isomorphisms in category

isomorfier i kategori

isomorphisms of spaces

isomorfier af rum

Example Sentences

isomorphisms play a crucial role in abstract algebra.

isomorfier spiller en afgørende rolle i abstrakt algebra.

understanding isomorphisms can simplify complex problems.

at forstå isomorfier kan forenkle komplekse problemer.

mathematicians study isomorphisms to find structural similarities.

matematikere studerer isomorfier for at finde strukturelle ligheder.

isomorphisms help in classifying different algebraic structures.

isomorfier hjælper med at klassificere forskellige algebraiske strukturer.

two groups are said to be isomorphic if there exists an isomorphism between them.

to grupper siges at være isomorfe, hvis der eksisterer en isomorfi mellem dem.

isomorphisms reveal deep connections between different mathematical fields.

isomorfier afslører dybe forbindelser mellem forskellige matematiske områder.

in topology, isomorphisms are used to compare shapes.

inden for topologi bruges isomorfier til at sammenligne former.

isomorphisms can be visualized through diagrams in category theory.

isomorfier kan visualiseres gennem diagrammer i kategoriteori.

finding isomorphisms between graphs can be computationally challenging.

at finde isomorfier mellem grafer kan være beregningsmæssigt udfordrende.

isomorphisms provide a framework for understanding equivalence in mathematics.

isomorfier giver et rammeværk til at forstå ækvivalens i matematik.

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