lim inf

lim inf

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  • Limit superior and limit inferior — In mathematics, the limit inferior (also called infimum limit, liminf, inferior limit, lower limit, or inner limit) and limit superior (also called supremum limit, limsup, superior limit, upper limit, or outer limit) of a sequence can be thought… …   Wikipedia

  • Limes superior — Limes superior,   Formelzeichen lim sup oder l̅i̅m̅, obere Grenze der Häufungspunkte einer Zahlenfolge (an); entsprechend ist Limes inferior (lim inf, lim) die untere Grenze der Häufungspunkte. Gilt lim sup = lim inf und ist lim sup endlich, dann …   Universal-Lexikon

  • Ratio test — In mathematics, the ratio test is a test (or criterion ) for the convergence of a series , where each term is a real or complex number and an is nonzero when n is large. The test was first published by Jean le Rond d Alembert and is sometimes… …   Wikipedia

  • Noisy-channel coding theorem — In information theory, the noisy channel coding theorem (sometimes Shannon s theorem), establishes that for any given degree of noise contamination of a communication channel, it is possible to communicate discrete data (digital information)… …   Wikipedia

  • NORMÉS (ESPACES VECTORIELS) — L’analyse fonctionnelle linéaire, en tant que théorie générale, s’est créée au début du XXe siècle, autour des problèmes posés par les équations intégrales. Entre 1904 et 1906, D. Hilbert (1862 1943) est amené à étudier des développements en… …   Encyclopédie Universelle

  • Функция Эйлера — Не следует путать с функцией распределения простых чисел. Первая тысяча значений Функция Эйлера φ(n) мультипликативная …   Википедия

  • Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • Oscillation (mathematics) — For other uses, see Oscillation (differential equation). Oscillation of a sequence (shown in blue) is the difference between the limit superior and limit inferior of the sequence. In mathematics, oscillation is the behaviour of a sequence of real …   Wikipedia

  • LIMITE (NOTION DE) — LIMITE NOTION DE La notion de limite fait son apparition dans un ouvrage du mathématicien anglais B. Robins intitulé A Discourse Concerning the Nature and Certainty of Sir Isaac Newton’s Method of Fluxions and Prime and Ultimate Ratios (1735);… …   Encyclopédie Universelle

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