A periodic function, also called a periodic waveform (or simply periodic wave), is a function that repeats its values at regular intervals or periods...

In mathematics, an almost periodic function is, loosely speaking, a function of a real variable that is periodic to within any desired level of accuracy...

is a list of some well-known periodic functions. The constant function f (x) = c, where c is independent of x, is periodic with any period, but lacks a...

simplest periodic functions, and as such are also widely used for studying periodic phenomena through Fourier analysis. The trigonometric functions most widely...

In mathematics, a doubly periodic function is a function defined on the complex plane and having two "periods", which are complex numbers u and v that...

concept of a mean-periodic function is a generalization introduced in 1935 by Jean Delsarte of the concept of a periodic function. Further results were...

the function center and a {\displaystyle a} and σ {\displaystyle \sigma } are parameters affecting the spread of the radius. Periodic functions can serve...

In mathematics, a quasiperiodic function is a function that has a certain similarity to a periodic function. A function f {\displaystyle f} is quasiperiodic...

of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a trigonometric series. By expressing a function as a...

to the Schrödinger equation in a periodic potential can be expressed as plane waves modulated by periodic functions. The theorem is named after the Swiss...

The periodic table, also known as the periodic table of the elements, is an ordered arrangement of the chemical elements into rows ("periods") and columns...

physics and mathematics, the phase (symbol φ or ϕ) of a wave or other periodic function F {\displaystyle F} of some real variable t {\displaystyle t} (such...

mathematics, a Dirac comb (also known as sha function, impulse train or sampling function) is a periodic function with the formula Ш   T ⁡ ( t )   := ∑ k =...

elliptic functions are special kinds of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because they...

{\displaystyle [-P/2,P/2]} the function f ( x ) {\displaystyle f(x)} has a discrete decomposition in the periodic functions e i 2 π x n / P {\displaystyle...

is a special case of periodic convolution, which is the convolution of two periodic functions that have the same period. Periodic convolution arises, for...

strictly defined mathematical concepts such as an almost periodic function or a quasiperiodic function. Climate oscillations that appear to follow a regular...

periodic function with a period a. According to Bloch's theorem, the wavefunction solution of the Schrödinger equation when the potential is periodic...

continuously differentiable periodic function around a jump discontinuity. The N {\textstyle N} th partial Fourier series of the function (formed by summing the...

iterated functions and dynamical systems, a periodic point of a function is a point which the system returns to after a certain number of function iterations...

In mathematics, a periodic travelling wave (or wavetrain) is a periodic function of one-dimensional space that moves with constant speed. Consequently...

In mathematics, any integrable function s ( t ) {\displaystyle s(t)} can be made into a periodic function s P ( t ) {\displaystyle s_{P}(t)} with period...

smallest p for which a periodic sequence is p-periodic is called its least period or exact period. Every constant function is 1-periodic. The sequence 1 ,...

original sequence spans all the non-zero values of a function, its DTFT is continuous (and periodic), and the DFT provides discrete samples of one cycle...

values and even to complex numbers. The sine and cosine functions are commonly used to model periodic phenomena such as sound and light waves, the position...

Allometric functions; note: if the power is a rational number it is not strictly a transcendental function. Periodic functions Trigonometric functions: sine...

addresses Bott periodicity: a modulo-8 recurrence relation in the homotopy groups of classical groups Periodic function, a function whose output contains...

harmonics. This is similar to periodic functions defined on a circle that can be expressed as a sum of circular functions (sines and cosines) via Fourier...

autocorrelation of a periodic function is, itself, periodic with the same period. The autocorrelation of the sum of two completely uncorrelated functions (the cross-correlation...

}(x+T)=\mathbf {1} _{\mathbb {Q} }(x)} . The Dirichlet function is therefore an example of a real periodic function which is not constant but whose set of periods...