Greatest and least elements and Zero element

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

Difference between Greatest and least elements and Zero element

Greatest and least elements vs. Zero element

In mathematics, especially in order theory, the greatest element of a subset S of a partially ordered set (poset) is an element of S that is greater than every other element of S. The term least element is defined dually, that is, it is an element of S that is smaller than every other element of S. Formally, given a partially ordered set (P, ≤), an element g of a subset S of P is the greatest element of S if Hence, the greatest element of S is an upper bound of S that is contained within this subset. In mathematics, a zero element is one of several generalizations of the number zero to other algebraic structures.

Similarities between Greatest and least elements and Zero element

Greatest and least elements and Zero element have 4 things in common (in Unionpedia): Initial and terminal objects, Integer, Mathematics, Partially ordered set.

Initial and terminal objects

In category theory, a branch of mathematics, an initial object of a category C is an object I in C such that for every object X in C, there exists precisely one morphism I → X. The dual notion is that of a terminal object (also called terminal element): T is terminal if for every object X in C there exists a single morphism X → T. Initial objects are also called coterminal or universal, and terminal objects are also called final.

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Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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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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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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The list above answers the following questions

What Greatest and least elements and Zero element have in common
What are the similarities between Greatest and least elements and Zero element

Greatest and least elements and Zero element Comparison

Greatest and least elements has 19 relations, while Zero element has 41. As they have in common 4, the Jaccard index is 6.67% = 4 / (19 + 41).

References

This article shows the relationship between Greatest and least elements and Zero element. To access each article from which the information was extracted, please visit:

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