In mathematics, an identity function, also called an identity relation, identity map or identity transformation, is a function that always returns the...

Identity (equation) Identity function Inverse element Monoid Pseudo-ring Quasigroup Unital (disambiguation) Weisstein, Eric W. "Identity Element". mathworld...

In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for...

online systems, identity management can involve five basic functions: Pure identity function: Creation, management and deletion of identities without regard...

up identity in Wiktionary, the free dictionary. Identity may refer to: Identity document Identity (philosophy) Identity (social science) Identity (mathematics)...

norm, seminorm, and real linear functional is a sublinear function. The identity function R → R {\displaystyle \mathbb {R} \to \mathbb {R} } on X :=...

{\displaystyle x} ; constant functions are idempotent; the identity function is idempotent; the floor, ceiling and fractional part functions are idempotent; the...

computer science, a general recursive function, partial recursive function, or μ-recursive function is a partial function from natural numbers to natural numbers...

surjective function (also known as surjection, or onto function /ˈɒn.tuː/) is a function f such that, for every element y of the function's codomain, there...

f^{-1}=\operatorname {id} _{Y},} where idX is the identity function on the set X; that is, the function that leaves its argument unchanged. In category...

to the identity function λ x . x {\displaystyle \lambda x.x} . In lambda calculus, functions are taken to be 'first class values', so functions may be...

the square function satisfies the identity x2 = (−x)2. This can also be expressed by saying that the square function is an even function. The squaring...

-dimensional vector space to itself, the identity matrix I n {\displaystyle I_{n}} represents the identity function, for whatever basis was used in this representation...

state s {\displaystyle s} unchanged. That is, a null function is an identity function whose domain and codomain are both the state space S {\displaystyle...

particular, the identity function X → X {\displaystyle X\to X} is always injective (and in fact bijective). If the domain of a function is the empty set...

such that each of the two ways for composing the two functions produces an identity function: g ( f ( x ) ) = x {\displaystyle g(f(x))=x} for each x...

The complex conjugate function z → z* is not complex analytic, although its restriction to the real line is the identity function and therefore real analytic...

mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the...

{\displaystyle f\colon \mathbb {N} \to \mathbb {N} } is simply the identity function. Z {\displaystyle \mathbb {Z} } , the set of integers is enumerable...

mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, is a generalized function on the real numbers, whose value...

In mathematics, an indicator function or a characteristic function of a subset of a set is a function that maps elements of the subset to one, and all...

In post-tonal music theory, identity is similar to identity in universal algebra. An identity function is a permutation or transformation which transforms...

together. Similarly, identity functions are identity elements for function composition, and the composition of the identity functions of two different sets are...

of morphisms behaves like function composition (associativity of composition when it is defined, and existence of an identity morphism for every object)...

form eiτ = 1 is that rotating by a full turn is an identity function. Complex number Euler's identity Integration using Euler's formula History of Lorentz...

the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial...

In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value. The exponential...

a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function. This implies...

In computability theory, a primitive recursive function is, roughly speaking, a function that can be computed by a computer program whose loops are all...

the functions of attitudes, which can be classified as utilitarian, social identity, or self-esteem maintenance functions. The utilitarian function involves...