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a function is periodic with period T

См. также в других словарях:

  • Periodic function — Not to be confused with periodic mapping, a mapping whose nth iterate is the identity (see periodic point). In mathematics, a periodic function is a function that repeats its values in regular intervals or periods. The most important examples are …   Wikipedia

  • Periodic point — In mathematics, in the study of iterated functions and dynamical systems, a periodic point of a function is a point which returns to itself after a certain number of function iterations or a certain amount of time. Iterated functions Given an… …   Wikipedia

  • Theta function — heta 1 with u = i pi z and with nome q = e^{i pi au}= 0.1 e^{0.1 i pi}. Conventions are (mathematica): heta 1(u;q) = 2 q^{1/4} sum {n=0}^infty ( 1)^n q^{n(n+1)} sin((2n+1)u) this is: heta 1(u;q) = sum {n= infty}^{n=infty} ( 1)^{n 1/2}… …   Wikipedia

  • Quasiperiodic function — In mathematics, a function f is said to be quasiperiodic with quasiperiod (sometimes simply called the period ) omega; if for certain constants a and b , ensp; f satisfies the functional equation: f(z + omega) = exp(az+b) f(z). An example of this …   Wikipedia

  • Mathieu function — In mathematics, the Mathieu functions are certain special functions useful for treating a variety of problems in applied mathematics, including vibrating elliptical drumheads, quadrupoles mass filters and quadrupole ion traps for mass… …   Wikipedia

  • Periodic function — Periodic Pe ri*od ic, Periodical Pe ri*od ic*al, a. [L. periodicus, Gr. ?: cf. F. p[ e]riodique.] 1. Of or pertaining to a period or periods, or to division by periods. [1913 Webster] The periodicaltimes of all the satellites. Sir J. Herschel.… …   The Collaborative International Dictionary of English

  • Periodic — Pe ri*od ic, Periodical Pe ri*od ic*al, a. [L. periodicus, Gr. ?: cf. F. p[ e]riodique.] 1. Of or pertaining to a period or periods, or to division by periods. [1913 Webster] The periodicaltimes of all the satellites. Sir J. Herschel. [1913… …   The Collaborative International Dictionary of English

  • Periodic comet — Periodic Pe ri*od ic, Periodical Pe ri*od ic*al, a. [L. periodicus, Gr. ?: cf. F. p[ e]riodique.] 1. Of or pertaining to a period or periods, or to division by periods. [1913 Webster] The periodicaltimes of all the satellites. Sir J. Herschel.… …   The Collaborative International Dictionary of English

  • Periodic law — Periodic Pe ri*od ic, Periodical Pe ri*od ic*al, a. [L. periodicus, Gr. ?: cf. F. p[ e]riodique.] 1. Of or pertaining to a period or periods, or to division by periods. [1913 Webster] The periodicaltimes of all the satellites. Sir J. Herschel.… …   The Collaborative International Dictionary of English

  • Periodic star — Periodic Pe ri*od ic, Periodical Pe ri*od ic*al, a. [L. periodicus, Gr. ?: cf. F. p[ e]riodique.] 1. Of or pertaining to a period or periods, or to division by periods. [1913 Webster] The periodicaltimes of all the satellites. Sir J. Herschel.… …   The Collaborative International Dictionary of English

  • Periodic time of a heavenly body — Periodic Pe ri*od ic, Periodical Pe ri*od ic*al, a. [L. periodicus, Gr. ?: cf. F. p[ e]riodique.] 1. Of or pertaining to a period or periods, or to division by periods. [1913 Webster] The periodicaltimes of all the satellites. Sir J. Herschel.… …   The Collaborative International Dictionary of English

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