Periodic sequence information

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

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...

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

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]. .....

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

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...

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

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

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

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

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,...

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

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

form a periodic sequence. They are generalizations of the concepts of perfect numbers and amicable numbers. The first two sociable sequences, or sociable...

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...

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...

appears at the decoder output. More specifically, when the 0 dBm0 periodic sequence as given in Table 2, in either mu-law or A-law as appropriate, is...

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...

Comet Shoemaker–Levy 1, respectively. Non-periodic Shoemaker–Levy comets are interleaved in this sequence: C/1991 B1 between 2 and 3, C/1991 T2 between...