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Periodic function

Any function whose value repeats after the regular addition of a period to its independent variable; i.e., a function ƒ such that, for some positive constant p, ƒ(x + p) = ƒ(x) for all x.

📖 Definitions of "Periodic function"

noun
  1. 1

    Any function whose value repeats after the regular addition of a period to its independent variable; i.e., a function ƒ such that, for some positive constant p, ƒ(x + p) = ƒ(x) for all x.

💡 Words with a Similar Meaning to "Periodic function"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
periodicitynounThe quality of being periodic; tendency to recur at regular intervals.
antiperiodicitynoun(mathematics) A generalization of periodicity such that f(x + P) = −f(x) for all x in some function f.
pseudo-periodnounAlternative form of pseudoperiod. [(mathematics) A solution function that is not technically periodic, but nevertheless displays repetitive behavior.]
pseudoperiodnoun(mathematics) A solution function that is not technically periodic, but nevertheless displays repetitive behavior.
elliptic functionnoun(mathematics) Any function of a complex variable which is periodic in two directions.
periodic continued fractionnoun(mathematics) A continued fraction with a sequence of numerators and denominators that repeat indefinitely
repeating decimalnoun(mathematics) A decimal representation of a real number that, at some point, becomes periodic (and repeats some sequence of digits infinitely)
power functionnoun(mathematics) A function where the independent variable is raised to a particular real number power.
forcing functionnoun(graphical user interface) An aspect of interface design that restricts a user's abilities in order to streamline completion of a task.
regular functionnoun(mathematics) a meromorphic function
polynomial functionnoun(mathematics) Any function whose value is the solution of a polynomial; an element of a subring of the ring of all functions over an integral domain, which subring is the smallest to contain all the constant functions and also the identity function. (If the polynomial is multivariate then there is a different identity function corresponding to each variable.)
pisano periodnoun(number theory) The period (of repetition) of the sequence of Fibonacci numbers reduced modulo a given natural number (≥1); it can be considered to be a function π(n) where n is the modulus of reduction (see modular arithmetic) and the function returns the period (of the reduced Fibonacci sequence) corresponding to that given modulus.
functional rootnoun(mathematics) A function which, when applied a given number of times, equals another given function.
constant functionnoun(mathematics) A function whose value is the same for all the elements of its domain.
point functionnoun(mathematics) Any function whose values are points
parabolic(chiefly mathematics) Of, or pertaining to, or in the shape of a parabola or paraboloid.
exponentialnoun(mathematics) Any function that has an exponent as an independent variable.
exponential functionnoun(mathematics) Any function in which an independent variable is in the form of an exponent; they are the inverse functions of logarithms
rational functionnoun(mathematics, complex analysis, algebraic geometry) Any function expressible as the quotient of two (coprime) polynomials (and which thus has poles at a finite, discrete set of points which are the roots of the denominator).
even functionnoun(mathematics) Any function whose value is unchanged if the independent variable changes sign i.e. f(x) = f(-x)

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