lower limit

lower limit
The lower limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the "first subsequence." Then remove the first term of the first subsequence in order to obtain the "second subsequence." Repeat the removal of first terms in order to obtain a "third subsequence," "fourth subsequence," etc. Find the infimum of each of these subsequences, then find the supremum of all of these infimums. This supremum is the lower limit.
See Also: upper limit

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  • lower limit — lower limit, lower limit lower limit . the limit on the lower (or southernmost) side of something. [WordNet 1.5] …   The Collaborative International Dictionary of English

  • lower-limit — lower limit, lower limit lower limit . the limit on the lower (or southernmost) side of something. [WordNet 1.5] …   The Collaborative International Dictionary of English

  • lower limit — apatinė riba statusas T sritis automatika atitikmenys: angl. inferior limit; lower limit vok. untere Grenzwert, m; Untergrenze, f rus. нижний предел, m pranc. limite inférieure, f …   Automatikos terminų žodynas

  • lower limit — apatinė riba statusas T sritis fizika atitikmenys: angl. inferior limit; lower limit vok. untere Grenze, f; unterer Grenzwert, m rus. нижний предел, m; нижняя граница, f pranc. limite inférieure, f …   Fizikos terminų žodynas

  • Lower limit topology — In mathematics, the lower limit topology or right half open interval topology is a topology defined on the set R of real numbers; it is different from the standard topology on R and has a number of interesting properties. It is the topology… …   Wikipedia

  • lower limit of measurement — apatinė matavimo riba statusas T sritis fizika atitikmenys: angl. lower limit of measurement vok. untere Meßbereichsgrenze, f; untere Meßgrenze, f rus. нижний предел измерения, m pranc. limite inférieure de mesure, f …   Fizikos terminų žodynas

  • lower limit — noun 1. the smallest possible quantity (Freq. 3) • Syn: ↑minimum • Ant: ↑maximum (for: ↑minimum) • Derivationally related forms: ↑minimize …   Useful english dictionary

  • lower limit — minimum which is allowed, lowest permissible …   English contemporary dictionary

  • crop lower limit — noun the measure of the extent to which a particular crop can extract water from a particular soil type. Abbrev.: CLL Compare drained upper limit …  

  • 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

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