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In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by or , where f is the function. In layman's terms, the domain of a function can generally be thought of as "what x can be". [ 1] More precisely, given a function , the domain of f is X. In modern mathematical language, the domain is ...
Range of a function. is a function from domain X to codomain Y. The yellow oval inside Y is the image of . Sometimes "range" refers to the image and sometimes to the codomain. In mathematics, the range of a function may refer to either of two closely related concepts: the codomain of the function, or. the image of the function.
A rangefinder (also rangefinding telemeter, depending on the context) is a device used to measure distances to remote objects. Originally optical devices used in surveying, they soon found applications in other fields, such as photography, the military, and space travel. They were especially useful for finding the range of a target, such as in ...
Periodic function. A periodic function also called a periodic waveform (or simply periodic wave ), is a function that repeats its values at regular intervals or periods. The repeatable part of the function or waveform is called a cycle. [ 1] For example, the trigonometric functions, which repeat at intervals of radians, are periodic functions ...
The linear map h → J(x) ⋅ h is known as the derivative or the differential of f at x . When m = n, the Jacobian matrix is square, so its determinant is a well-defined function of x, known as the Jacobian determinant of f. It carries important information about the local behavior of f.
e. In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. [ 1] The set X is called the domain of the function [ 2] and the set Y is called the codomain of the function. [ 3] Functions were originally the idealization of how a varying quantity depends on another quantity.
In mathematical analysis, the maximum and minimum[ a] of a function are, respectively, the largest and smallest value taken by the function. Known generically as extremum, [ b] they may be defined either within a given range (the local or relative extrema) or on the entire domain (the global or absolute extrema) of a function. [ 1][ 2][ 3 ...
Operator (mathematics) In mathematics, an operator is generally a mapping or function that acts on elements of a space to produce elements of another space (possibly and sometimes required to be the same space). There is no general definition of an operator, but the term is often used in place of function when the domain is a set of functions ...