+ 03 Äquivalenzklassen

• Title: + 03 Äquivalenzklassen
• Type: +
• Tags: Math, Set Theory
• URL: https://www.youtube.com/watch?v=9d4NY_c3ttg
• Channel/Host: einfachMathe
• Reference:
• Publish Date: 2016-01-25
• Reviewed Date: 2022-04-18

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Definition

Let be an Equivalence Relation on the set . For a given we call the equivalence class of .

Representatives

An element is called a representative of with

Theorem

1. - this follows by definition of Equivalence Relation
2. If then or .

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Examples

1. Let and if is divisible by 2 (i.e. the difference is an even number):

   • 𝕫

2. Let and if , i.e.

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