Euclidean relation and Symmetric relation

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

Difference between Euclidean relation and Symmetric relation

Euclidean relation vs. Symmetric relation

In mathematics, Euclidean relations are a class of binary relations that formalizes "Axiom 1" in Euclid's Elements: "Magnitudes which are equal to the same are equal to each other.". In mathematics and other areas, a binary relation R over a set X is symmetric if it holds for all a and b in X that a is related to b if and only if b is related to a. In mathematical notation, this is: Symmetry, along with reflexivity and transitivity, are the three defining properties of an equivalence relation.

Similarities between Euclidean relation and Symmetric relation

Euclidean relation and Symmetric relation have 6 things in common (in Unionpedia): Antisymmetric relation, Binary relation, Equivalence relation, Mathematics, Reflexive relation, Set (mathematics).

Antisymmetric relation

In mathematics, a binary relation R on a set X is anti-symmetric if there is no pair of distinct elements of X each of which is related by R to the other.

Antisymmetric relation and Euclidean relation · Antisymmetric relation and Symmetric relation · 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 Euclidean relation · Binary relation and Symmetric relation · See more »

Equivalence relation

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

Equivalence relation and Euclidean relation · Equivalence relation and Symmetric relation · See more »

Mathematics

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

Euclidean relation and Mathematics · Mathematics and Symmetric relation · See more »

Reflexive relation

In mathematics, a binary relation R over a set X is reflexive if every element of X is related to itself.

Euclidean relation and Reflexive relation · Reflexive relation and Symmetric relation · See more »

Set (mathematics)

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

Euclidean relation and Set (mathematics) · Set (mathematics) and Symmetric relation · See more »

The list above answers the following questions

What Euclidean relation and Symmetric relation have in common
What are the similarities between Euclidean relation and Symmetric relation

Euclidean relation and Symmetric relation Comparison

Euclidean relation has 12 relations, while Symmetric relation has 18. As they have in common 6, the Jaccard index is 20.00% = 6 / (12 + 18).

References

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

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