Equivalence class and Ordinal number

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Equivalence class and Ordinal number

Equivalence class vs. Ordinal number

In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes. In set theory, an ordinal number, or ordinal, is one generalization of the concept of a natural number that is used to describe a way to arrange a collection of objects in order, one after another.

Similarities between Equivalence class and Ordinal number

Equivalence class and Ordinal number have 5 things in common (in Unionpedia): Disjoint sets, Equivalence relation, Set (mathematics), Topological space, Transitive relation.

Disjoint sets

In mathematics, two sets are said to be disjoint sets if they have no element in common.

Disjoint sets and Equivalence class · Disjoint sets and Ordinal number · See more »

Equivalence relation

In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.

Equivalence class and Equivalence relation · Equivalence relation and Ordinal number · See more »

Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

Equivalence class and Set (mathematics) · Ordinal number and Set (mathematics) · See more »

Topological space

In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.

Equivalence class and Topological space · Ordinal number and Topological space · See more »

Transitive relation

In mathematics, a binary relation over a set is transitive if whenever an element is related to an element and is related to an element then is also related to.

Equivalence class and Transitive relation · Ordinal number and Transitive relation · See more »

The list above answers the following questions

What Equivalence class and Ordinal number have in common
What are the similarities between Equivalence class and Ordinal number

Equivalence class and Ordinal number Comparison

Equivalence class has 54 relations, while Ordinal number has 83. As they have in common 5, the Jaccard index is 3.65% = 5 / (54 + 83).

References

This article shows the relationship between Equivalence class and Ordinal number. To access each article from which the information was extracted, please visit:

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