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doubly periodic function

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  • Doubly-periodic function — In mathematics, a doubly periodic function is a function f defined at all points z in a plane and having two periods , which are linearly independent vectors u and v such that:f(z) = f(z + u) = f(z + v).,The doubly periodic function is thus a two …   Wikipedia

  • Doubly periodic function — In mathematics, a doubly periodic function is a function defined at all points on the complex plane and having two periods , which are complex numbers u and v that are linearly independent as vectors over the field of real numbers. That u and v… …   Wikipedia

  • 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 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

  • Elliptic function — In complex analysis, an elliptic function is a function defined on the complex plane that is periodic in two directions (a doubly periodic function) and at the same time is meromorphic. Historically, elliptic functions were discovered as inverse… …   Wikipedia

  • periodic law — /pear ee od ik, pear /, Chem. 1. the law that the properties of the elements are periodic functions of their atomic numbers. 2. Also called Mendeleev s law. (originally) the statement that the chemical and physical properties of the elements… …   Universalium

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