In mathematics, a periodic sequence (sometimes called a cycle or orbit) is a sequence for which the same terms are repeated over and over: a1, a2, .....

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

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...

is continuous (and periodic), and the DFT provides discrete samples of one cycle. If the original sequence is one cycle of a periodic function, the DFT...

guarantee that the sequenced components match the assembly sequence perfectly. In many cases, suppliers must manage periodic sequence reversals, for example...

The Ox (牛) is the second of the 12-year periodic sequence (cycle) of animals which appear in the Chinese zodiac related to the Chinese calendar, and also...

transform of an aperiodic sequence x[n] can be thought of as DFS coefficients of a periodic sequence obtained through summing periodic replicas of x[n]. .....

reconstructs the original sampled data sequence, while the inverse DFT produces a periodic summation of the original sequence. The fast Fourier transform (FFT)...

product of two discrete sequences is the periodic convolution of the DTFTs of the individual sequences. And each DTFT is a periodic summation of a continuous...

sequence, then the sequences u(kn) and u(kn − 1) are ultimately periodic. Conversely, if u(n) is an ultimately periodic sequence, then the sequence v...

The Rabbit (兔) is the fourth in the twelve-year periodic sequence (cycle) of animals that appear in the Chinese zodiac related to the Chinese calendar...

The periodic table is an arrangement of the chemical elements, structured by their atomic number, electron configuration and recurring chemical properties...

{\displaystyle d=0} for the everywhere-zero sequence.[citation needed] The definition above allows eventually-periodic sequences such as 1 , 0 , 0 , 0 , … {\displaystyle...

values periodically, or showing non-periodic fluctuations known as chaos. Another way to understand this sequence is to iterate the logistic map (here...

forming a periodic or near-periodic sequence. Pulse trains outputs are widely used in tachometers, speedometers and encoders. Such pulse sequences appear...

P} -periodic, and its Fourier series coefficients are given by the discrete convolution of the U {\displaystyle U} and V {\displaystyle V} sequences: F...

repositories. If the members of the Fibonacci sequence are taken mod n, the resulting sequence is periodic with period at most 6n. The lengths of the periods...

A recurrent sequence that is ultimately periodic is purely periodic. The Thue–Morse sequence is uniformly recurrent without being periodic, nor even eventually...

finite number of iterations x n {\displaystyle x_{n}} maps into a periodic sequence. But almost all θ {\displaystyle \theta } are irrational, and, for...

sequence is a periodic sequence. Amicable numbers are sociable numbers whose aliquot sequence has period 2. It remains unknown whether these sequences always...

the periodic law in 1871, and published an associated periodic table of chemical elements, authors have experimented with varying types of periodic tables...

periodic when there exists some number n > 0, called a witness to periodicity, such that xi = xi+n for all i ≥ 0. The period of a periodic sequence is...

a discrete periodic sequence (yielding discrete periodic frequencies), which can also be thought of as the DTFT of a finite-length sequence evaluated at...

exhibits periodicity for various values of the parameter r. For r between 0 and 1, 0 is the sole periodic point, with period 1 (giving the sequence 0, 0,...

linear-feedback shift registers and are so called because they are periodic and reproduce every binary sequence (except the zero vector) that can be represented by the...

all n-periodic (because z k⋅(j + n) = z k⋅j). Furthermore, the set {s1, … , sn} of these sequences is a basis of the linear space of all n-periodic sequences...

exponent λ {\displaystyle \lambda } ) in the a−b plane for given periodic sequences of a and b. In the images, yellow corresponds to λ < 0 {\displaystyle...

(finite-length sequences) transform properties tabulated transforms of specific functions Similar to a Fourier series, the DTFT of a periodic sequence, s N [...

shift map: the sequence of all zeroes, and the sequence of all ones. A periodic sequence will have a periodic orbit. For instance, the sequence (..., 0, 1...

a way of expressing real numbers as sequences of natural numbers, such that the sequence is eventually periodic precisely when the original number is...