periodic(al) fraction

periodic(al) fraction
периодическая дробь

Англо-русский словарь технических терминов. 2005.

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  • Periodic continued fraction — In mathematics, an infinite periodic continued fraction is a continued fraction that can be placed in the form:x = a 0 + cfrac{1}{a 1 + cfrac{1}{a 2 + cfrac{ddots}{quadddotsquad a k + cfrac{1}{a {k+1} + cfrac{ddots}{quadddotsquad a {k+m 1} +… …   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

  • Periodic law — Law Law (l[add]), n. [OE. lawe, laghe, AS. lagu, from the root of E. lie: akin to OS. lag, Icel. l[ o]g, Sw. lag, Dan. lov; cf. L. lex, E. legal. A law is that which is laid, set, or fixed; like statute, fr. L. statuere to make to stand. See… …   The Collaborative International Dictionary of English

  • periodic fraction — infinite decimal fraction based on recurring numbers (Mathematics) …   English contemporary dictionary

  • Continued fraction — Finite continued fraction, where a0 is an integer, any other ai are positive integers, and n is a non negative integer. In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the… …   Wikipedia

  • Generalized continued fraction — In analysis, a generalized continued fraction is a generalization of regular continued fractions in canonical form in which the partial numerators and the partial denominators can assume arbitrary real or complex values.A generalized continued… …   Wikipedia

  • Continued fraction factorization — In number theory, the continued fraction factorization method (CFRAC) is an integer factorization algorithm. It is a general purpose algorithm, meaning that it is suitable for factoring any integer n, not depending on special form or properties.… …   Wikipedia

  • Convergence problem — In the analytic theory of continued fractions, the convergence problem is the determination of conditions on the partial numerators ai and partial denominators bi that are sufficient to guarantee the convergence of the continued fraction This… …   Wikipedia

  • Restricted partial quotients — In mathematics, and more particularly in the analytic theory of regular continued fractions, an infinite regular continued fraction x is said to be restricted , or composed of restricted partial quotients , if the sequence of denominators of its… …   Wikipedia

  • List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …   Wikipedia

  • Quadratic irrational — In mathematics, a quadratic irrational, also known as a quadratic irrationality or quadratic surd, is an irrational number that is the solution to some quadratic equation with rational coefficients. Since fractions can be cleared from a quadratic …   Wikipedia


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