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Equivalence relation and Subset

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

Difference between Equivalence relation and Subset

Equivalence relation vs. Subset

In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.

Similarities between Equivalence relation and Subset

Equivalence relation and Subset have 10 things in common (in Unionpedia): Algebraic structure, Binary relation, Cardinality, Cartesian product, Empty set, Equality (mathematics), If and only if, Mathematics, Natural number, Partially ordered set.

Algebraic structure

In mathematics, and more specifically in abstract algebra, an algebraic structure on a set A (called carrier set or underlying set) is a collection of finitary operations on A; the set A with this structure is also called an algebra.

Algebraic structure and Equivalence relation · Algebraic structure and Subset · See more »

Binary relation

In mathematics, a binary relation on a set A is a set of ordered pairs of elements of A. In other words, it is a subset of the Cartesian product A2.

Binary relation and Equivalence relation · Binary relation and Subset · See more »

Cardinality

In mathematics, the cardinality of a set is a measure of the "number of elements of the set".

Cardinality and Equivalence relation · Cardinality and Subset · See more »

Cartesian product

In set theory (and, usually, in other parts of mathematics), a Cartesian product is a mathematical operation that returns a set (or product set or simply product) from multiple sets.

Cartesian product and Equivalence relation · Cartesian product and Subset · See more »

Empty set

In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.

Empty set and Equivalence relation · Empty set and Subset · See more »

Equality (mathematics)

In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.

Equality (mathematics) and Equivalence relation · Equality (mathematics) and Subset · See more »

If and only if

In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.

Equivalence relation and If and only if · If and only if and Subset · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Natural number

In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").

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Partially ordered set

In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set.

Equivalence relation and Partially ordered set · Partially ordered set and Subset · See more »

The list above answers the following questions

Equivalence relation and Subset Comparison

Equivalence relation has 108 relations, while Subset has 28. As they have in common 10, the Jaccard index is 7.35% = 10 / (108 + 28).

References

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

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