Concept information
Preferred term
identity
Definition
- In mathematics, an identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and B (which might contain some variables) produce the same value for all values of the variables within a certain range of validity. In other words, A = B is an identity if A and B define the same functions, and an identity is an equality between functions that are differently defined. For example, and are identities. Identities are sometimes indicated by the triple bar symbol ≡ instead of =, the equals sign. Formally, an identity is a universally quantified equality.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Identity_(mathematics))
Broader concept
Narrower concepts
- Bézout's identity
- Brahmagupta-Fibonacci identity
- Candido's identity
- Degen's eight-square identity
- difference of two squares
- Dixon's identity
- Dyson conjecture
- Euler's four-square identity
- Euler's identity
- Fay's trisecant identity
- Green's identities
- Heine's identity
- Hermite's identity
- Jacobi triple product
- Lagrange's identity
- Newton's identities
- Parseval's identity
- quintuple product identity
- Vandermonde's identity
- Wilf-Zeilberger pair
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-VTR5XXB2-M