the range of a function may refer either to the codomain of the function, or the image of the function. In some cases the codomain and the image of a function...

belong. The set of specific outputs the function assigns to elements of X is called its range or image. The image of f is a subset of Y, shown as the...

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...

domestic livestock or wild animals Range of a function, a set containing the output values produced by a function Range (statistics), the difference between...

theory, the essential range, or the set of essential values, of a function is intuitively the 'non-negligible' range of the function: It does not change...

Sigmoid functions most often show a return value (y axis) in the range 0 to 1. Another commonly used range is from −1 to 1. A wide variety of sigmoid...

In mathematics, the graph of a function f {\displaystyle f} is the set of ordered pairs ( x , y ) {\displaystyle (x,y)} , where f ( x ) = y . {\displaystyle...

In mathematics, for a function f : X → Y {\displaystyle f:X\to Y} , the image of an input value x {\displaystyle x} is the single output value produced...

In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept...

mathematics, a multivalued function, multiple-valued function, many-valued function, or multifunction, is a function that has two or more values in its range for...

mathematics, a 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...

Computable functions are the basic objects of study in computability theory. Informally, a function is computable if there is an algorithm that computes...

probability theory, a probability density function (PDF), density function, or density of an absolutely continuous random variable, is a function whose value...

these maxima and minima may exceed the theoretical range of the function; for example, a function that is always positive may have an interpolant with...

Recommendation BT.1886 is the reference EOTF of Standard Dynamic Range TV (SDR). sRGB: sRGB defines a transfer function based on a gamma curve and used for monitors...

injective function (also known as injection, or one-to-one function ) is a function f that maps distinct elements of its domain to distinct elements of its...

of a predicate, or a set, is only one type of "value-range" of a function.) In a famous episode, Bertrand Russell wrote to Frege, just as Vol. 2 of the...

called the expit, being the inverse function of the logit. The logistic function finds applications in a range of fields, including biology (especially...

traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is...

abelian groups, the image of a morphism actually corresponds to the inclusion of the closure of the range of the function. For this reason, people will...

restriction of a function f {\displaystyle f} is a new function, denoted f | A {\displaystyle f\vert _{A}} or f ↾ A , {\displaystyle f{\upharpoonright _{A}},}...

The activation function of a node in an artificial neural network is a function that calculates the output of the node based on its individual inputs and...

contrast, a unary function's domain need not coincide with its range. The successor function, denoted succ {\displaystyle \operatorname {succ} } , is a unary...

A vector-valued function, also referred to as a vector function, is a mathematical function of one or more variables whose range is a set of multidimensional...

Dimensions and units of the transfer function model the output response of the device for a range of possible inputs. The transfer function of a two-port electronic...

A hash function is any function that can be used to map data of arbitrary size to fixed-size values, though there are some hash functions that support...

(n)} , and may also be called Euler's phi function. In other words, it is the number of integers k in the range 1 ≤ k ≤ n for which the greatest common...

In computer science, a perfect hash function h for a set S is a hash function that maps distinct elements in S to a set of m integers, with no collisions...

related theorems about the range of an analytic function. They are named after Émile Picard. Little Picard Theorem: If a function f : C → C {\textstyle f:\mathbb...

mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input which...