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Sequence for which the same terms are repeated over and over
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, ..
Periodic_sequence
Function with a repeating pattern
a periodic function Least-squares spectral analysis for computing periodicity in unevenly spaced data List of periodic functions Periodic sequence – Sequence
Periodic_function
Tabular arrangement of the chemical elements
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
Periodic_table
Function in discrete mathematics
{\displaystyle k\in [0,N-1]} , and that extended sequence is N {\displaystyle N} -periodic. Accordingly, other sequences of N {\displaystyle N} indices are sometimes
Discrete_Fourier_transform
Periodic sequence of integers whose partial sums are triangular numbers
sequence is a periodic sequence of integers with the property that its partial sums include all of the triangular numbers. For instance, the sequence
Šindel_sequence
Control technique for improving qubit coherence in quantum computing
time-dependent control modulation. In its simplest form, DD is implemented by periodic sequences of instantaneous control pulses, whose net effect is to approximately
Dynamical_decoupling
Sign of the Chinese zodiac
The Rabbit or Hare is the fourth in the twelve-year periodic sequence (cycle) of animals that appear in the Chinese zodiac related to the Chinese calendar
Rabbit_(zodiac)
Series in digital signal processing
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]. ..
Discrete_Fourier_series
Periodic rectangular waveform
forming a periodic or near-periodic sequence. Pulse waves outputs are widely used in tachometers, speedometers and encoders. Such pulse sequences appear
Pulse_wave
Sign of the Chinese zodiac
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
Ox_(zodiac)
Mathematical operation
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
Circular_convolution
Type of prime number conjectured to exist
{\displaystyle p} less than it), the result is a periodic sequence. The (minimal) period length of this sequence is called the Pisano period and denoted π (
Wall–Sun–Sun_prime
Infinite sequence of terms characterized by a finite automaton
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
Automatic_sequence
Development of the table of chemical elements
The periodic table is an arrangement of the chemical elements, structured by their atomic number, electron configuration and recurring chemical properties
History_of_the_periodic_table
Fourier analysis technique applied to sequences
reconstructs the original sampled data sequence, while the inverse DFT produces a periodic summation of the original sequence. The fast Fourier transform (FFT)
Discrete-time Fourier transform
Discrete-time_Fourier_transform
Theorem in mathematics
P} -periodic, and its Fourier series coefficients are given by the discrete convolution of the U {\displaystyle U} and V {\displaystyle V} sequences: F
Convolution_theorem
Numbers obtained by adding the two previous ones
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
Fibonacci_sequence
Simple polynomial map exhibiting chaotic behavior
values periodically, or showing non-periodic fluctuations known as chaos. Another way to understand this sequence is to iterate the logistic map (here
Logistic_map
Idea that small causes can have large effects
finite number of iterations x n {\displaystyle x_{n}} maps into a periodic sequence. But almost all θ {\displaystyle \theta } are irrational, and, for
Butterfly_effect
Different forms of the table of elements
the periodic law in 1871, and published an associated periodic table of chemical elements, authors have experimented with varying types of periodic tables
Types_of_periodic_tables
A recurrent sequence that is ultimately periodic is purely periodic. The Thue–Morse sequence is uniformly recurrent without being periodic, nor even eventually
Recurrent_word
Branch of mathematics
(finite-length sequences) transform properties tabulated transforms of specific functions Similar to a Fourier series, the DTFT of a periodic sequence, s N [
Fourier_analysis
Point which a function/system returns to after some time or iterations
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,
Periodic_point
Medieval astronomical clock in the Czech Republic
measuring time Orrery – Mechanical model of the Solar System Šindel sequence – Periodic sequence of integers whose partial sums are triangular numbers Torquetum –
Prague_astronomical_clock
Mathematical sequences
Kasami sequence is initiated by generating a maximum length sequence a(n), where n = 1…2N−1. Maximum length sequences are periodic sequences with a period
Kasami_code
Sum of all proper divisors of a natural number
sequence is a periodic sequence. Amicable numbers are sociable numbers whose aliquot sequence has period 2. It remains unknown whether these sequences always
Aliquot_sum
Inventory strategy
guarantee that the sequenced components match the assembly sequence perfectly. In many cases, suppliers must manage periodic sequence reversals, for example
Just_in_sequence
Infinite sequence of numbers satisfying a linear equation
{\displaystyle d=0} for the everywhere-zero sequence.[citation needed] The definition above allows eventually-periodic sequences such as 1 , 0 , 0 , 0 , … {\displaystyle
Constant-recursive_sequence
a way of expressing real numbers as sequences of natural numbers, such that the sequence is eventually periodic precisely when the original number is
Hermite's_problem
Technical treatment of Boolean algebras
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
Boolean algebras canonically defined
Boolean_algebras_canonically_defined
Method of visualizing the relationship between elements
A period on the periodic table is a row of chemical elements. All elements in a row have the same number of electron shells. Each next element in a period
Period_(periodic_table)
Number with an integer power equal to 1
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
Root_of_unity
Topics referred to by the same term
a discrete periodic sequence (yielding discrete periodic frequencies), which can also be thought of as the DTFT of a finite-length sequence evaluated at
Fourier
Type of fractal
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
Lyapunov_fractal
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
DBm0
Polynomial function of degree two
finite number of iterations x n {\displaystyle x_{n}} maps into a periodic sequence. But almost all θ {\displaystyle \theta } are irrational, and, for
Quadratic_function
Modeling a dynamical system's states as infinite sequences of symbols
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
Symbolic_dynamics
Complex-valued mathematical sequence
A Zadoff–Chu (ZC) sequence is a complex-valued mathematical sequence which, when applied to a signal, gives rise to a new signal of constant amplitude
Zadoff–Chu_sequence
Sinusoidal wave whose frequency is an integer multiple
distorted (non-sinusoidal) periodic signals can also be classified according to their phase sequence. The positive sequence harmonics of a set of three-phase
Harmonics_(electrical_power)
Type of pseudorandom binary sequence
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
Maximum_length_sequence
Byzantine monk, inventor of AD dating
Exiguus’ Paschal table is reflected by the structure of its 19-year periodic sequence of epacts. The epact, since it originally marked the new moon, was
Dionysius_Exiguus
Relates to a chain of six circles together with a triangle
then the sequence of circles eventually reaches a periodic sequence of six circles, but may take arbitrarily many steps to reach this periodicity. The name
Six_circles_theorem
Sequence of n-tuples of integers
discovered in the 1930s that every such sequence eventually becomes periodic. Ducci sequences are also known as the Ducci map or the n-number game. Open problems
Ducci_sequence
or similar sequence motifs. These periodic sequences are generated by internal duplications in both coding and non-coding genomic sequences. Repetitive
Protein_tandem_repeats
Integer sequence
look-and-say sequence is the sequence of integers beginning as follows: 1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, 31131211131221, ... (sequence A005150
Look-and-say_sequence
Numbers whose aliquot sums form a cyclic sequence
form a periodic sequence. They are generalizations of the concepts of perfect numbers and amicable numbers. The first two sociable sequences, or sociable
Sociable_number
(CAZAC) is a periodic complex-valued signal with modulus one and out-of-phase periodic (cyclic) autocorrelations equal to zero. CAZAC sequences find application
Constant amplitude zero autocorrelation waveform
Constant_amplitude_zero_autocorrelation_waveform
Field of mathematics and science based on non-linear systems and initial conditions
have sequences of values for the evolving variable that exactly repeat themselves, giving periodic behavior starting from any point in that sequence. However
Chaos_theory
Infinite binary sequence generated by repeated complementation and concatenation
Notably, the Thue–Morse sequence is uniformly recurrent without being either periodic or eventually periodic (i.e., periodic after some initial nonperiodic
Thue–Morse_sequence
Number system extending the rational numbers
compact way to represent rational numbers, which have an infinite periodic sequence of digits. In this notation, a quote mark (') is used to separate
P-adic_number
Equation in Fourier analysis
coefficients of the periodic summation of a function to values of the function's continuous Fourier transform. Consequently, the periodic summation of a function
Poisson_summation_formula
Mathematical recursive sequence
aliquot sequence of 1264460 is 1264460, 1547860, 1727636, 1305184, 1264460, ... Some numbers have an aliquot sequence which is eventually periodic, but the
Aliquot_sequence
Effect in signal processing
N} -length DFT. The truncated sequence is sometimes called DFT-even or periodic, because it is even-symmetric and periodic around n = 0 {\displaystyle n=0}
Spectral_leakage
Describes a periodicity in the homotopy groups of classical groups
In mathematics, the Bott periodicity theorem describes a periodicity in the homotopy groups of classical groups, discovered by Raoul Bott (1957, 1959)
Bott_periodicity_theorem
a discrete periodic sequence (yielding discrete periodic frequencies), which can also be thought of as the DTFT of a finite-length sequence evaluated at
List of things named after Joseph Fourier
List_of_things_named_after_Joseph_Fourier
Amount of variation between extrema
.. has oscillation 2. In the last example the sequence is periodic, and any sequence that is periodic without being constant will have non-zero oscillation
Oscillation_(mathematics)
periodic functions which are not mean-periodic. If f is a mean periodic function, then it is the limit of a certain sequence of exponential polynomials which
Mean-periodic_function
Open problem on 3x+1 and x/2 functions
"shortcut" definition of the Collatz map, it is known that any periodic parity sequence is generated by exactly one rational. Conversely, it is conjectured
Collatz_conjecture
Tiling by squares of two sizes
In this sequence, the relative proportion of 0s and 1s will be in the ratio x:1. This proportion cannot be achieved by a periodic sequence of 0s and
Pythagorean_tiling
Fractal describing electrons in a magnetic field
magnetic field allowed the reproduction of the Hofstadter butterfly for periodic sequences of the scatterers. In 2001, Christian Albrecht, Klaus von Klitzing
Hofstadter's_butterfly
Remote observation of lightning strikes
microseconds. The strokes in a CG flash can be seen at night as a non-periodic sequence of illuminations of the lightning channel. This can also be heard
Lightning_detector
Decimal representation of a number whose digits are periodic
digits are eventually periodic (that is, after some place, the same sequence of digits is repeated forever); if this sequence consists only of zeros
Repeating_decimal
Infinite graph containing all countable graphs
and nonresidues modulo every prime in V {\displaystyle V} form a periodic sequence, so by Dirichlet's theorem on primes in arithmetic progressions this
Rado_graph
Result on periodic sequences
Knuth-Morris-Pratt algorithm comes from "almost-periodic" words, the idea being that – in this case – long sequences of matching letter can occur without a complete
Fine_and_Wilf's_theorem
characteristic 0, the Hodge–de Rham spectral sequence starting with Hochschild homology and abutting to periodic cyclic homology, degenerates: H H ∗ ( C /
Hodge–de Rham spectral sequence
Hodge–de_Rham_spectral_sequence
Function that "converges" to periodicity
almost periodic if every sequence {ƒ(t + Tn)} of translations of f has a subsequence that converges uniformly for t in (−∞, +∞). The Bohr almost periodic functions
Almost_periodic_function
German mathematician
theory of almost periodic sequences of numbers (Zur Theorie der fastperiodischen Zahlfolgen). It was a topic from the theory of almost periodic functions suggested
Ingeborg_Seynsche
iterating the state change an FCSR generates an infinite, eventually periodic sequence of numbers in S {\displaystyle S} . FCSRs have been used in the design
Feedback with Carry Shift Registers
Feedback_with_Carry_Shift_Registers
History of research by Augustin-Jean Fresnel
wave theory failed to act on it: Robert Hooke treated light as a periodic sequence of pulses but did not use frequency as the criterion of color, while
Fresnel's_physical_optics
American mathematician
another approach). For the case of ordered pairs, if the simplex sequence is eventually periodic, then the two numbers must be of degree at most three. Garrity
Thomas_A._Garrity
Class of chaotic maps
a point that is part of a periodic orbit of the horseshoe map. The periodic orbit can be labeled by the simplest sequence of As and Bs that labels one
Horseshoe_map
Natural number
(number). Sloane, N. J. A. (ed.). "Sequence A005277 (Nontotients)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Wells, D. The Penguin
118_(number)
Infinite sequence in mathematics
paperfolding sequence. A paperfolding sequence is not ultimately periodic. A paperfolding sequence is 2-automatic if and only if the folding sequence is ultimately
Regular_paperfolding_sequence
Fractal named after mathematician Benoit Mandelbrot
z=0} . In other words, it is the set of c {\displaystyle c} for which the sequence f c ( 0 ) {\displaystyle f_{c}(0)} , f c ( f c ( 0 ) ) {\displaystyle f_{c}(f_{c}(0))}
Mandelbrot_set
A Euclidean graph (a graph embedded in some Euclidean space) is periodic if there exists a basis of that Euclidean space whose corresponding translations
Periodic_graph_(geometry)
Property of uniformly space-filling movement
measures for the shift map T {\displaystyle T} on X {\displaystyle X} . Periodic sequences give finitely supported measures. More interestingly, there are infinitely-supported
Ergodicity
Class of integer sequences in mathematics
sequence (An)n ≥ 1 is said to be periodic if there is a number N ≥ 1 so that An+N = An for every n ≥ 1. If a nondegenerate EDS (Wn)n ≥ 1 is periodic,
Elliptic divisibility sequence
Elliptic_divisibility_sequence
American mathematician (1926–2023)
2023, at the age of 96. The superimposition of several strictly periodic sequences of events, in Biometrika, 40(?), 1953. With Cox. A direct proof of
Wally_Smith_(mathematician)
Mathematical sequence
type are usually true for sequences exhibiting some form of periodicity but the Ulam sequence does not seem to be periodic and the phenomenon is not understood
Ulam_number
Number of protons or neutrons that make a nucleus particularly stable
Retrieved 2020-06-27. "What is Stable Nuclei - Unstable Nuclei - Definition". Periodic Table. 2019-05-22. Retrieved 2019-12-22. Kondo, Y.; Achouri, N. L.; Falou
Magic_number_(physics)
protein sequences and experimental work has shown that periodicities can play a role in the origin of ordered proteins. Presumably, these periodicities are
Protein_music
Network whose links change over time
indicates a maximally bursty sequence, B = 0 indicates a Poisson distribution, and B = −1 indicates a periodic sequence. Randomized reference networks
Temporal_network
Tōhoku earthquake and tsunami is related to the 1978 Miyagi quake periodic sequence. Some involved geological research will be required to see if there
1978_Miyagi_earthquake
Function with unusual fractal properties
of some finite length, followed by a repeating sequence. The repeating sequence generates a periodic continued fraction satisfying x = [ a n , a n +
Minkowski's question-mark function
Minkowski's_question-mark_function
Costa Rican chemist and physicist
arrangement of the periodic table of chemical elements, published in 1952 in the Journal of Chemical Education. His arrangement of the periodic table was based
Gil_Chaverri_Rodríguez
Mode of arrangement of electrons in different shells of an atom
configuration of different atoms is useful in understanding the structure of the periodic table of elements, for describing the chemical bonds that hold atoms together
Electron_configuration
a conjecture that every integer k>1 has a periodic Wieferich sequence. For example, the Wieferich sequence of 2: 2, 1093, 5, 20771, 18043, 5, 20771, 18043
Wieferich_pair
14th day of the ecclesiastical lunar month
Rome and the one of Alexandria, had begun to calculate their own periodic sequences of dates of paschal full moon, to be able to determine their own dates
Ecclesiastical_full_moon
Infinite sequence in mathematics
created a recursive formula for the i-th term of the sequence. The sequence is not eventually periodic, that is, its terms do not have a general repeating
Kolakoski_sequence
The three-base periodicity property in the field of Genomics is a property that is characteristic of protein-coding DNA sequences. The existence of this
3-Base_Periodicity_Property
of a long exact sequence connecting Hochschild and cyclic homology. This long exact sequence is referred to as the periodicity sequence. Cyclic cohomology
Cyclic_homology
Book by Primo Levi
The Periodic Table (Italian: Il sistema periodico) is a 1975 short story collection by Primo Levi, named after the periodic table in chemistry. In 2006
The Periodic Table (short story collection)
The_Periodic_Table_(short_story_collection)
Comets with less than 200 year orbital 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
List_of_periodic_comets
The coordination sequences of many low-dimensional lattices and uniform tilings are known. The coordination sequences of periodic structures are known
Coordination_sequence
Period of the Fibonacci sequence modulo an integer
of periodic functions in Fibonacci numbers was noted by Joseph Louis Lagrange in 1774. The Fibonacci numbers are the numbers in the integer sequence: 0
Pisano_period
Kind of infinitely long sequence of characters
balanced for all n and w is not eventually periodic. Let w be an infinite sequence of 0s and 1s. The sequence w is Sturmian if for some x ∈ [ 0 , 1 ) {\displaystyle
Sturmian_word
Natural number
the atomic number of Fermium (Fm): A synthetic chemical element in the periodic table. 100-meter sprint: A Popular Olympic event. 100 emoji (💯): Commonly
100
Two raised to an integer power
numbers 1, 2, 4, 8, 16, 31, 62, 124 or 248. (sequence A000079 in the OEIS) Starting with 2 the last digit is periodic with period 4, with the cycle 2–4–8–6–
Power_of_two
Bishop of Laodicea in the third century
Anatolius invented the first Metonic 19-year lunar cycle (which 19-year periodic sequence of dates of the Paschal full moon must not be confused with the Metonic
Anatolius_of_Laodicea
Sequence of numbers consisting of 1 and -1
a sign sequence, or ±1–sequence or bipolar sequence, is a sequence of numbers, each of which is either 1 or −1. One example is the sequence (1, −1, 1
Sign_sequence
PERIODIC SEQUENCE
PERIODIC SEQUENCE
Boy/Male
Arabic, Muslim
Period
Girl/Female
Afghan, Arabic, Hebrew, Muslim
Chosen; Happy; Name of First Lady Ruler of Medieval Period
Girl/Female
Bengali, Hindu, Indian, Kannada, Sindhi
Period of Twilight
Girl/Female
Hindu
Hundred years, It means a period of years century
Boy/Male
Gujarati, Hindu, Indian, Kannada, Tamil
Smart One; Creative and Active; Lived in North America During the Cretaceous Period
Girl/Female
Indian, Indonesian, Italian
Gift of God; Periodic
Girl/Female
Tamil
Circumstance, Period of life, Wick, Condition, Degree
Girl/Female
Tamil
Shatabdee | ஷதாபà¯à®¤à¯€
Hundred years, It means a period of years century
Shatabdee | ஷதாபà¯à®¤à¯€
Female
Hebrew
(דּï‹×¨Ö´×™×ª) Hebrew name DORIT means "generation" or "period of time."
Girl/Female
Hindu
Hundred years, It means a period of years century
Boy/Male
Anglo, Australian, British, English
Name of a King; A Stream of Praise; A Period of Time
Girl/Female
Tamil
Period of twilight
Girl/Female
American, Finnish, Hindu, Indian, Japanese
Long Period of Time; Wind; Air
Boy/Male
Finnish, Hindu, Indian
Hindu Period of a Year
Girl/Female
Indian
Circumstance, Period of life, Wick, Condition, Degree
Boy/Male
Muslim
Period
Boy/Male
Australian, Farsi, Vietnamese
Accomplished; To Attain; To Achieve; Period of Time; Age; Life
Boy/Male
Hindu, Indian
Sahadev's Name During Hiding Period
Girl/Female
Indian, Sanskrit
Period of 100 Years; Century
Girl/Female
Tamil
Shatabdi | ஷதாபà¯à®¤à¯€
Hundred years, It means a period of years century
PERIODIC SEQUENCE
PERIODIC SEQUENCE
Female
African
mourning.
Male
English
English unisex name BRETT means, "a Breton."
Female
English
English variant spelling of Roman Latin Valerie, VALARIE means "to be healthy, to be strong."Â
Girl/Female
Tamil
Happiness
Girl/Female
Gaelic
Pearl.
Girl/Female
Indian
Same as Cauvery name of a river
Girl/Female
Greek
Oath.
Girl/Female
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Purity
Girl/Female
Tamil
Praachika | பà¯à®°à®¾à®šà®¿à®•à®¾
Driving, Falcon, Long-legged, Spider
Boy/Male
Hindu, Indian, Punjabi, Sikh
Fearless
PERIODIC SEQUENCE
PERIODIC SEQUENCE
PERIODIC SEQUENCE
PERIODIC SEQUENCE
PERIODIC SEQUENCE
v. i.
To come to a period; to conclude. [Obs.] "You may period upon this, that," etc.
n.
An iodide containing a higher proportion of iodine than any other iodide of the same substance or series.
a.
Performed in a period, or regular revolution; proceeding in a series of successive circuits; as, the periodical motion of the planets round the sun.
a.
Of or pertaining to a period; constituting a complete sentence.
n.
A salt of periodic acid.
a.
Of or pertaining to a period or periods, or to division by periods.
n.
A periotic bone.
n.
A portion of time as limited and determined by some recurring phenomenon, as by the completion of a revolution of one of the heavenly bodies; a division of time, as a series of years, months, or days, in which something is completed, and ready to recommence and go on in the same order; as, the period of the sun, or the earth, or a comet.
a.
Pertaining to, derived from, or designating, the highest oxygen acid (HIO/) of iodine.
n. pl.
Alt. of Perioecians
a.
Happening, by revolution, at a stated time; returning regularly, after a certain period of time; acting, happening, or appearing, at fixed intervals; recurring; as, periodical epidemics.
a.
Related to, or formed from, pyridin or its homologues; as, the pyridic bases.
a.
Surrounding, or pertaining to the region surrounding, the internal ear; as, the periotic capsule.
a.
Alt. of Periodical
n.
One of the great divisions of geological time; as, the Tertiary period; the Glacial period. See the Chart of Geology.
n.
A stated and recurring interval of time; more generally, an interval of time specified or left indefinite; a certain series of years, months, days, or the like; a time; a cycle; an age; an epoch; as, the period of the Roman republic.
a.
Of or pertaining to the periople; connected with the periople.