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Class of functions behaving "like" periodic functions
mathematics, a quasiperiodic function is a function that has a certain similarity to a periodic function. A function f {\displaystyle f} is quasiperiodic with quasiperiod
Quasiperiodic_function
Mathematical notion of recurrence with unpredictable period
defined mathematical concepts such as an almost periodic function or a quasiperiodic function. Climate oscillations that appear to follow a regular pattern
Quasiperiodicity
Type of motion that is approximately periodic
physics, quasiperiodic motion is motion on a torus that never comes back to the same point. This behavior can also be called quasiperiodic evolution
Quasiperiodic_motion
Function with a repeating pattern
Sum of a function's values every _P_ offsets Periodic travelling wave – Constant speed wavetrain Quasiperiodic function – Class of functions behaving
Periodic_function
Analytic function on the upper half-plane with a certain behavior under the modular group
is not an exact symmetry of the function, but more like the transformation law of a quasiperiodic function: the function picks up an additional factor,
Modular_form
Function that "converges" to periodicity
not quasiperiodic. Additive synthesis Aperiodic function Computer music Fourier series Harmonic series (music) Quasiperiodic function Quasiperiodic tiling
Almost_periodic_function
Ordered chemical structure with no repeating pattern
A quasiperiodic crystal, or quasicrystal, is a structure that is ordered but not periodic. A quasicrystalline pattern can continuously fill all available
Quasicrystal
Special functions of several complex variables
the associated elliptic functions, making it a quasiperiodic function. Abstractly, this quasiperiodicity comes from the cohomology class of a line bundle
Theta_function
Study of the movement of stars
{\displaystyle {\sqrt {U(t)^{2}+V(t)^{2}+W(t)^{2}}}} is thus a quasiperiodic function with values in the range U ( 0 ) 2 + κ 2 V ( 0 ) 2 / ( 2 B ) 2 {\displaystyle
Stellar_kinematics
Number, approximately 1.618
Although at the time of the discovery of quasicrystals the theory of quasiperiodic functions had been known for nearly sixty years, it was the mathematics of
Golden_ratio
Solutions of Lamé's equation
The Floquet theory of the Lamé equation describes solutions that are quasiperiodic with respect to a real period. In the Jacobi version of the Lamé equation
Lamé_function
Latvian mathematician (1865–1921)
mathematician, who worked in differential equations, topology and quasiperiodic functions. He was born in 1865 in Walk, Livonia, in the family of a poor
Piers_Bohl
Algorithm to estimate signal frequency
algorithm designed to estimate the pitch or fundamental frequency of a quasiperiodic or oscillating signal, usually a digital recording of speech or a musical
Pitch_detection_algorithm
Concept in diatonic set theory
though in fact these correspond to what mathematicians call a quasiperiodic function. These are scales which repeat at a certain fixed interval higher
Rothenberg_propriety
Soviet mathematician and theoretical physicist (1909–1992)
particle physics. He suggested a new synthesis of the Bohr theory of quasiperiodic functions and developed methods for asymptotic integration of nonlinear differential
Nikolay_Bogolyubov
Fifteen problems in mathematical physic
Raphaël (1 November 2006). "Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles". Annals of Mathematics. 164 (3): 911–940. arXiv:math/0306382
Simon_problems
Repetitive variation of some measure about a central value
in unevenly spaced data Oscillator phase noise Periodic function Phase noise Quasiperiodicity Reciprocating motion Resonator Rhythm Seasonality Self-oscillation
Oscillation
Toy model for electronic localization
Martínez, Alejandro J.; Porter, Mason A.; Kevrekidis, P. G. (2018-08-28). "Quasiperiodic granular chains and Hofstadter butterflies". Philosophical Transactions
Aubry–André_model
Complex-valued arithmetic function
The smallest positive integer for which χ {\displaystyle \chi } is quasiperiodic is the conductor of χ {\displaystyle \chi } . So, for instance, χ 2
Dirichlet_character
Type of map used in mathematics, particularly dynamical systems
dynamical system. Because it preserves many properties of periodic and quasiperiodic orbits of the original system and has a lower-dimensional state space
Poincaré_map
Periodic structure of layers of two or more materials
material and to semimetal with negative band gap. Another class of quasiperiodic superlattices is named after Fibonacci. A Fibonacci superlattice can
Superlattice
Topics referred to by the same term
periodicity, a concept in generally accepted accounting principles Quasiperiodicity, property of a system that displays irregular periodicity Aperiodic
Periodicity
Infinite sequence of differential equations
preserves the spectral data of L {\displaystyle L} . In periodic and quasiperiodic settings, this spectral interpretation leads to the theory of finite-gap
Korteweg–De_Vries_hierarchy
Limiting set in dynamical systems
series corresponding to this attractor is a quasiperiodic series: A discretely sampled sum of Nt periodic functions (not necessarily sine waves) with incommensurate
Attractor
Rational numbers with root 5 added
In Kramer, Peter; Papadopolos, Zorka (eds.). Coverings of Discrete Quasiperiodic Sets. Berlin: Springer. pp. 185–225. doi:10.1007/3-540-45805-0_6. ISBN 3-540-43241-8
Golden_field
Third planet from the Sun
motion has multiple, cyclical components, which collectively are termed quasiperiodic motion. In addition to an annual component to this motion, there is
Earth
Geometric method for visualizing a rotating rigid body
point of contact between the ellipsoid and the plane. The motion is quasiperiodic. ω {\displaystyle {\boldsymbol {\omega }}} traces out a closed curve
Poinsot's_ellipsoid
Geometric patterns in Islamic architecture
this approach was used by medieval artisans. Another way to create quasiperiodic patterns is by subdividing girih tiles repeatedly into smaller tiles
Girih
Graduate-level textbooks in mathematics
Varieties Xinyi Yuan, Shou-Wu Zhang 2026-01-13 280 9780691271736 222 Quasiperiodic Solutions of the Generalized SQG Equation Javier Gómez-Serrano, Alexandru
Annals_of_Mathematics_Studies
In mathematics, a chaotic map is a map (an evolution function) that exhibits some sort of chaotic behavior. Maps may be parameterized by a discrete-time
List_of_chaotic_maps
chemistry was awarded to Prof. Dan Shechtman, for his discovery of quasiperiodic crystals, or "Shechtmanite". Technion is one of only five universities
History of the Technion – Israel Institute of Technology
History_of_the_Technion_–_Israel_Institute_of_Technology
Paradigmatic model
Amsterdam 2000). Gommers, R.; Denisov, S.; Renzoni, F. (2006). "Quasiperiodically Driven Ratchets for Cold Atoms". Physical Review Letters. 96 (24)
Kicked_rotator
Area of applied mathematics
reactant concentrations. For some parameter values it may even exhibit quasiperiodic or chaotic behaviour. While stable periodic solutions are unusual in
Chemical reaction network theory
Chemical_reaction_network_theory
f_{1}:\mathbb {R} ^{n}\times \mathbb {T} ^{k}\to \mathbb {R} ^{n}} a quasiperiodic forcing term. Spectral submanifolds are useful for rigorous nonlinear
Spectral_submanifold
Problem in physics and celestial mechanics
of the planetary problem: there exists a set of positive measure of quasiperiodic orbits in the case of the planetary problem restricted to the plane
N-body_problem
Apparent paradox in chaos theory
Unless this holds, states cannot interact. Ganapa, Santhosh (2023). "Quasiperiodicity in the α {\displaystyle \alpha } -Fermi–Pasta–Ulam–Tsingou problem
Fermi–Pasta–Ulam–Tsingou problem
Fermi–Pasta–Ulam–Tsingou_problem
Mathematics prize
Svetlana Jitomirskaya "for her pioneering work on non-perturbative quasiperiodic localization, in particular for results in her papers (1) Metal–insulator
Ruth Lyttle Satter Prize in Mathematics
Ruth_Lyttle_Satter_Prize_in_Mathematics
High-energy particle, mainly originating outside the Solar System
through which cosmic rays propagate to Earth. Solar modulation is a quasiperiodical change in cosmic rays intensity caused by 11- and 22-year cycles of
Cosmic_ray
Body of salt water covering most of Earth
surface currents. Tidal currents are in phase with the tide, hence are quasiperiodic; associated with the influence of the moon and sun pull on the ocean
Ocean
irrational one (the latter case is known as the "quasiperiodic" regime). When the periodic and quasiperiodic regimes overlap, the behavior of the circuit
Pearson–Anson_effect
Italian–American mathematician
before beginning her PhD at Harvard. Previato, Emma. Hyperelliptic quasiperiodic and soliton solutions of the nonlinear Schrödinger equation]. Duke Mathematical
Emma_Previato
Analysis of datasets using techniques from topology
1007/s00454-013-9497-x. ISSN 0179-5376. S2CID 17407953. Sergey P. Novikov, Quasiperiodic structures in topology[C]//Topological methods in modern mathematics
Topological_data_analysis
Butera & J. C. Smith (2002). "Periodicity, Mixed-mode Oscillations, and Quasiperiodicity in a Rhythm-generating Neural Network". Biophys. J. 82 (1): 206–14
Theta_model
American physicist
atomic arrangements that are quasiperiodic rather than periodic. They introduced the term quasicrystals, short for quasiperiodic crystal, to describe the
Dov_Levine
Hexagonal lattice made of carbon atoms
Felipe C. (April 2020). "Suppression of coherent thermal transport in quasiperiodic graphene-hBN superlattice ribbons". Carbon. 160: 335–341. arXiv:2001
Graphene
Type of observed X-ray astronomy pattern
farther out, so the QPO clock ticks slower and slower. Broad iron K line Quasiperiodicity Neutron-star oscillation Gravitational vortex provides new way to study
Quasi-periodic_oscillation
PMID 37097952. Wang, Fengjuan; Cao, Hongjun (2018-03-01). "Mode locking and quasiperiodicity in a discrete-time Chialvo neuron model". Communications in Nonlinear
Chialvo_map
Variations in data at specific regular intervals less than a year
weekly) than seasonal. A quasiperiodicity is a more general, irregular periodicity. Box–Jenkins method Oscillation Periodic function Periodicity (disambiguation)
Seasonality
Metamaterial that uses surface plasmons to achieve optical properties not seen in nature
A. (2008). "Universal optical transmission features in periodic and quasiperiodic hole arrays" (PDF). Optics Express. 16 (12): 9222–38. Bibcode:2008OExpr
Plasmonic_metamaterial
NASA/ESA/CSA space telescope launched in 2021
Wikimedia Commons Collier Trophy – to JWST in 2023 Libration point orbit – Quasiperiodic orbit around a Lagrange point List of deep fields List of largest infrared
James_Webb_Space_Telescope
Discrete dynamical system on polygons in the projective plane and on their moduli space
space is very different, since the dynamic is recurrent. It is even a quasiperiodic motion, as discussed in the section about integrability. The limit point
Pentagram_map
Beheshti, Kathryn; Zimmer, Margaret (May 2022). "Tidal frequencies and quasiperiodic subsurface water level variations dominate redox dynamics in a salt
Low_marsh
Dynamical system
K. (1 September 1984). "Period-Doubling of Kink-Antikink Patterns, Quasiperiodicity in Antiferro-Like Structures and Spatial Intermittency in Coupled Logistic
Coupled_map_lattice
Ukrainian mathematician (1938–2020)
doctoral-degree thesis "Some Problems of the Theory of Periodic and Quasiperiodic Systems", the official opponents of which were V. I. Arnold and D. V
Anatoly_Samoilenko
Dutch physicist (1936–2017)
superspace approach in crystal structure analysis for the description of quasiperiodic crystals and modulated structures. This collaboration and its results
Ted_Janssen
Hierarchical outline list of articles related to oceanography
The study of oceans outside planet Earth Atlantic Equatorial mode – A quasiperiodic interannual climate pattern of the equatorial Atlantic Ocean Baroclinity
Outline_of_oceanography
QUASIPERIODIC FUNCTION
QUASIPERIODIC FUNCTION
Male
Egyptian
, a great functionary.
Biblical
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Male
Egyptian
, a high Egyptian functionary.
Male
Egyptian
, an Egyptian functionary.
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Surname or Lastname
English (chiefly Kent and Sussex)
English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.
Surname or Lastname
English
English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.
Male
Egyptian
, the son of the functionary Heknofre.
Male
Egyptian
, Functionary of the Interior.
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Male
Egyptian
, an Egyptian functionary.
Male
Celtic
, great justiciary, or functionary.
QUASIPERIODIC FUNCTION
QUASIPERIODIC FUNCTION
Female
Hebrew
(עוּלָ×) Hebrew unisex name ULLA means "yoke." In the bible, this is the name of a male member of the tribe of Asher. Compare with other forms of Ulla.
Boy/Male
Tamil
The God of silence
Boy/Male
Bengali, Hindu, Indian, Punjabi, Sikh
The Lord Sun
Girl/Female
American, Australian, Latin
Jay Bird
Boy/Male
Arabic
Mercury; Quicksilver
Male
Spanish
Spanish form of French Tristan, probably TRISTÃN means "riot, tumult."
Boy/Male
Muslim
Praise. Commendation.
Girl/Female
Australian
Mature
Male
English
Anglicized form of Hebrew Menashsheh, MANASSEH means "causing to forget" or "one who forgets." In the bible, this is the name of several characters, including the eldest son of Joseph.
Girl/Female
Tamil
Great personality
QUASIPERIODIC FUNCTION
QUASIPERIODIC FUNCTION
QUASIPERIODIC FUNCTION
QUASIPERIODIC FUNCTION
QUASIPERIODIC FUNCTION
adv.
In a functional manner; as regards normal or appropriate activity.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
n.
The doctrine that all the functions of a living organism are due to an unknown vital principle distinct from all chemical and physical forces.
a.
Belonging or relating to life, either animal or vegetable; as, vital energies; vital functions; vital actions.
a.
Of or pertaining to the vessels of animal and vegetable bodies; as, the vascular functions.
v. t.
To assign to some function or office.
prep.
Acting as a substitute; -- said of abnormal action which replaces a suppressed normal function; as, vicarious hemorrhage replacing menstruation.
n.
A certain function relating to a system of forces and their points of application, -- first used by Clausius in the investigation of problems in molecular physics.
a.
Of, pertaining to, or designating, certain secret tribunals which flourished in Germany from the end of the 12th century to the middle of the 16th, usurping many of the functions of the government which were too weak to maintain law and order, and inspiring dread in all who came within their jurisdiction.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
a.
Pertaining to the function of an organ or part, or to the functions in general.
a.
Pertaining to, or connected with, a function or duty; official.
n.
One deputed or authorized to perform the functions of another; a substitute in office; a deputy.
a.
Having relation to growth or nutrition; partaking of simple growth and enlargement of the systems of nutrition, apart from the sensorial or distinctively animal functions; vegetal.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
v. i.
Alt. of Functionate
a.
Destitute of function, or of an appropriate organ. Darwin.
pl.
of Functionary
v. i.
To execute or perform a function; to transact one's regular or appointed business.
n.
Fig.: Any cavity, or hollow place, in which any function may be conceived of as operating.