Category:Examples of Equivalence Classes
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This category contains examples of Equivalence Class.
Let $S$ be a set.
Let $\RR \subseteq S \times S$ be an equivalence relation on $S$.
Let $x \in S$.
Then the equivalence class of $x$ under $\RR$ is the set:
- $\eqclass x \RR = \set {y \in S: \tuple {x, y} \in \RR}$
Subcategories
This category has only the following subcategory.
Pages in category "Examples of Equivalence Classes"
The following 17 pages are in this category, out of 17 total.
E
- Equivalence Class of Equal Elements of Cross-Relation
- Equivalence Class/Examples
- Equivalence Class/Examples/Congruence Modulo Initial Segment of Natural Numbers
- Equivalence Class/Examples/Congruence Modulo Initial Segment of Natural Numbers/Examples
- Equivalence Class/Examples/Congruence Modulo Initial Segment of Natural Numbers/Examples/4
- Equivalence Class/Examples/Equal Fourth Powers over Complex Numbers
- Equivalence Class/Examples/Equal Sine of pi x over 6 on Integers
- Equivalence Class/Examples/Months that Start on the Same Day of the Week
- Equivalence Class/Examples/People Born in Same Year
- Equivalence Class/Examples/People of Same Age
- Equivalence Class/Examples/People with Same Height
- Equivalence Classes induced by Derivative Function on Set of Functions
- Equivalence Classes of Cross-Relation on Natural Numbers
- Equivalence Classes of Diagonal Relation
- Equivalence Classes of Dipper Relation