Property (mathematics)

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Find sources: "Property" mathematics – news · newspapers · books · scholar · JSTOR (April 2024)

In mathematics, a property is any characteristic that applies to a given set.Rigorously, a property p defined for all elements of a set X is usually defined as a function p: X → {true, false}, that is true whenever the property holds; or, equivalently, as the subset of X for which p holds; i.e. the set {x | p(x) = true}; p is its indicator function. However, it may be objected that the rigorous definition defines merely the extension of a property, and says nothing about what causes the property to hold for exactly those values. ^{[citation needed]}

Examples

Of objects:

Parity is the property of an integer of whether it is even or odd

For more examples, see Category:Algebraic properties of elements.

Of operations:

associative property
commutative property of binary operations between real and complex numbers
distributive property

For more examples, see Category:Properties of binary operations.

References

"Introduction to Sets". www.mathsisfun.com. Retrieved October 15, 2018.

This mathematics-related article is a stub. You can help Wikipedia by expanding it.

This article relies largely or entirely on a single source Relevant discussion may be found on the talk page Please help improve this article by introducing citations to additional sources Find sources Property mathematics news newspapers books scholar JSTOR April 2024 In mathematics a property is any characteristic that applies to a given set Rigorously a property p defined for all elements of a set X is usually defined as a function p X true false that is true whenever the property holds or equivalently as the subset of X for which p holds i e the set x p x true p is its indicator function However it may be objected that the rigorous definition defines merely the extension of a property and says nothing about what causes the property to hold for exactly those values citation needed ExamplesOf objects Parity is the property of an integer of whether it is even or odd For more examples see Category Algebraic properties of elements Of operations associative property commutative property of binary operations between real and complex numbers distributive property For more examples see Category Properties of binary operations See alsoUnary relationReferences Introduction to Sets www mathsisfun com Retrieved October 15 2018 This mathematics related article is a stub You can help Wikipedia by expanding it vte