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

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

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...

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

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...

series (/ˈfʊrieɪ, -iər/) is an expansion of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a trigonometric...

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...

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

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...

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...

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 =...

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

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

endpoints identified). The latter is routinely employed to handle periodic functions. The fast Fourier transform (FFT) is an algorithm for computing the...

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 ,...

every continuous, periodic function could be described as an infinite sum of trigonometric functions. Even non-periodic functions can be represented...

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...

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...

mathematician Peter Gustav Lejeune Dirichlet, is the collection of periodic functions defined as D n ( x ) = ∑ k = − n n e i k x = ( 1 + 2 ∑ k = 1 n cos...

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...

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

}(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...

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...

be modeled as a periodic function (of period T {\displaystyle T} ) or (in case of continuous infusion therapy) as a constant function, and one has that...

when periodic functions are integrated over their periods, which can be analyzed in various ways. A similar effect is available for peak functions. For...

mathematics, the question of whether the Fourier series of a periodic function converges to a given function is researched by a field known as classical harmonic...

verification] It is different from the mathematical concept of an almost periodic function, which has increasing regularity over multiple periods. Climate oscillations...

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...

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...

are all functions of the magnitude of the differences between the variable's extreme values. In older texts, the phase of a periodic function is sometimes...