Ordinal number and Transitive relation

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Difference between Ordinal number and Transitive relation

Ordinal number vs. Transitive relation

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. 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.

Similarities between Ordinal number and Transitive relation

Ordinal number and Transitive relation have 6 things in common (in Unionpedia): Equivalence relation, Partially ordered set, Set (mathematics), Set theory, Subset, Total order.

Equivalence relation

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

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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.

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Set (mathematics)

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

Ordinal number and Set (mathematics) · Set (mathematics) and Transitive relation · See more »

Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

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Subset

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.

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Total order

In mathematics, a linear order, total order, simple order, or (non-strict) ordering is a binary relation on some set X, which is antisymmetric, transitive, and a connex relation.

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The list above answers the following questions

What Ordinal number and Transitive relation have in common
What are the similarities between Ordinal number and Transitive relation

Ordinal number and Transitive relation Comparison

Ordinal number has 83 relations, while Transitive relation has 34. As they have in common 6, the Jaccard index is 5.13% = 6 / (83 + 34).

References

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

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