periodic function

Noun

Meaning

English Wikipedia has an article on:periodic functionWikipedia
periodic function (plural periodic functions)

(mathematics) 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.

Examples

More formally, it decomposes any periodic function or periodic signal into the sum of a (possibly infinite) set of simple oscillating functions, namely sines and cosines (or, equivalently, complex exponentials ). Source: Internet

Peak power and duty cycle In a train of identical pulses, the instantaneous power is a periodic function of time. Source: Internet

Properties We say that f belongs to if f is a 2 -periodic function on R which is k times differentiable, and its kth derivative is continuous. Source: Internet

The concept of an almost periodic function (also called a quasiperiodic function) was studied by Bohr, including work of Bohl and Escanglon. citation He introduced the notion of a superspace. Source: Internet

The discrete-time Fourier transform is a periodic function, often defined in terms of a Fourier series. Source: Internet

The same discrete set is obtained by treating the duration of the segment as one cycle of a periodic function and computing the DFT'''. Source: Internet

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