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...

In mathematics, some functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some...

In mathematics, a partial function f from a set X to a set Y is a function from a subset S of X (possibly the whole X itself) to Y. The subset S, that...

normalized to one. The normalization for the potential function is the Jacobian for the appropriate mathematical space: it is 1 for ordinary probabilities, and...

In mathematics, the membership function of a fuzzy set is a generalization of the indicator function for classical sets. In fuzzy logic, it represents...

In mathematics, the composition operator ∘ {\displaystyle \circ } takes two functions, f {\displaystyle f} and g {\displaystyle g} , and returns a new...

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

In 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...

In mathematics, an L-function is a meromorphic function on the complex plane, associated to one out of several categories of mathematical objects. An L-series...

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

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate...

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

In mathematics, an argument of a function is a value provided to obtain the function's result. It is also called an independent variable. For example...

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

In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just...

Function (language), a way of achieving an aim using language Function (mathematics), a relation that associates an input to a single output Function...

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...

Handbook of Mathematical Functions may refer to: NBS Handbook of Mathematical Functions (with Formulas, Graphs, and Mathematical Tables) aka Abramowitz...

Floor and ceiling functions In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer...

illustrated through both common, everyday examples and more formal mathematical functions. Functions that map real numbers to real numbers can display periodicity...

In mathematical analysis, the smoothness of a function is a property measured by the number of continuous derivatives (differentiability class) it has...

Mathematics, Form and Function, a book published in 1986 by Springer-Verlag, is a survey of the whole of mathematics, including its origins and deep structure...

{\displaystyle n!} . In mathematical analysis, factorials are used in power series for the exponential function and other functions, and they also have applications...

In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose...

mathematics Do all non-trivial zeros of the Riemann zeta function have a real part of one half? More unsolved problems in mathematics In mathematics,...

In mathematics, the harmonic series is the infinite series formed by summing all positive unit fractions: ∑ n = 1 ∞ 1 n = 1 + 1 2 + 1 3 + 1 4 + 1 5 +...

sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is the...

interest in mathematics for centuries. In the more general approach, an optimization problem consists of maximizing or minimizing a real function by systematically...

Technology (NIST). Its full title is Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. A digital successor to the Handbook...

Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure,...