Equivalence class and Parallel (geometry)

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

Difference between Equivalence class and Parallel (geometry)

Equivalence class vs. Parallel (geometry)

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 geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel.

Similarities between Equivalence class and Parallel (geometry)

Equivalence class and Parallel (geometry) have 5 things in common (in Unionpedia): Binary relation, Equivalence relation, Reflexive relation, Symmetric relation, Transitive relation.

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 class · Binary relation and Parallel (geometry) · 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 Parallel (geometry) · 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.

Equivalence class and Reflexive relation · Parallel (geometry) and Reflexive relation · See more »

Symmetric relation

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.

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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 · Parallel (geometry) and Transitive relation · See more »

The list above answers the following questions

What Equivalence class and Parallel (geometry) have in common
What are the similarities between Equivalence class and Parallel (geometry)

Equivalence class and Parallel (geometry) Comparison

Equivalence class has 54 relations, while Parallel (geometry) has 63. As they have in common 5, the Jaccard index is 4.27% = 5 / (54 + 63).

References

This article shows the relationship between Equivalence class and Parallel (geometry). To access each article from which the information was extracted, please visit:

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