In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by dom ⁡ ( f ) {\displaystyle \operatorname...

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...

In mathematics, a codomain, counter-domain, or set of destination of a function is a set into which all of the output of the function is constrained to...

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 is, the domain...

mathematics, a differentiable function of one real variable is a function whose derivative exists at each point in its domain. In other words, the graph of a differentiable...

complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of definition of a given analytic function. Analytic continuation...

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...

natural sciences, a function of a real variable is a function whose domain is the real numbers R {\displaystyle \mathbb {R} } , or a subset of R {\displaystyle...

In mathematics, a concave function is one for which the function value at any convex combination of elements in the domain is greater than or equal to...

of a function of n variables is the subset of ⁠ R n {\displaystyle \mathbb {R} ^{n}} ⁠ for which the function is defined. As usual, the domain of a function...

x in the function's domain such that f(x) = y. In other words, for a function f : X → Y, the codomain Y is the image of the function's domain X. It is...

in a neighbourhood of each point in its domain. That all holomorphic functions are complex analytic functions, and vice versa, is a major theorem in complex...

mathematics, a piecewise function (also called a piecewise-defined function, a hybrid function, or a function defined by cases) is a function whose domain is partitioned...

trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled...

\mathbb {C} } ), is the domain of holomorphy of some function, in other words every domain has a function for which it is the domain of holomorphy. For several...

of input values for which the (total) function is defined Domain of definition of a partial function Natural domain of a partial function Domain of holomorphy...

mathematics, 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...

concepts of domain as an area over which control is exercised and the mathematical idea of a set of values of an independent variable for which a function is...

to have a domain consisting of ordered pairs or tuples of argument values. The argument of a circular function is an angle. The argument of a hyperbolic...

is also known as a plot. In the case of functions of two variables – that is, functions whose domain consists of pairs ( x , y ) {\displaystyle (x,y)} –...

not be in the domain of the function. Formal definitions, first devised in the early 19th century, are given below. Informally, a function f assigns an...

systems engineering, and statistics, the frequency domain refers to the analysis of mathematical functions or signals with respect to frequency (and possibly...

transform that converts a function of a real variable (usually t {\displaystyle t} , in the time domain) to a function of a complex variable s {\displaystyle...

controls the policies of domain name allocation, and technically operates its domain. It may also fulfill the function of a domain name registrar, or may...

mathematics, an even function is a real function such that f ( − x ) = f ( x ) {\displaystyle f(-x)=f(x)} for every x {\displaystyle x} in its domain. Similarly...

space Cn. A connected open subset of coordinate space is frequently used for the domain of a function. The basic idea of a connected subset of a space dates...

theory, a Euclidean domain (also called a Euclidean ring) is an integral domain that can be endowed with a Euclidean function which allows a suitable...

units of: compact structure function and evolution folding. Each definition is valid and will often overlap, i.e. a compact structural domain that is...

A is a subset of this universe, not necessarily restricted to A. Look up domain of discourse in Wiktionary, the free dictionary. Domain of a function...

is a real number. So, in multivariable calculus, the domain of a function of several real variables and the codomain of a real vector valued function are...