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...

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...

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

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

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...

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

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

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...

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...

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 =...

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...

{\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...

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

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

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

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

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

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 ,...

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

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...

}(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...

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...

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...

{\displaystyle e^{z}\neq 0\quad {\text{for every }}z\in \mathbb {C} .} It is periodic function of period ⁠ 2 i π {\displaystyle 2i\pi } ⁠; that is e z + 2 i k π...

topological group. Automorphic forms are a generalization of the idea of periodic functions in Euclidean space to general topological groups. Modular forms are...

physics and mathematics, wavelength or spatial period of a wave or periodic function is the distance over which the wave's shape repeats. In other words...

closure is the whole non-compact space. The definition of an almost periodic function F at a conceptual level has to do with the translates of F being a...

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