upper limit

The upper 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 supremum of each of these subsequences, then find the infimum of all of these supremums. This infimum is the upper limit.
See Also: lower limit

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  • upper limit — index capacity (maximum) Burton s Legal Thesaurus. William C. Burton. 2006 …   Law dictionary

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  • upper limit — noun 1. the largest possible quantity (Freq. 2) • Syn: ↑maximum • Ant: ↑minimum (for: ↑maximum) • Derivationally related forms: ↑maximize …   Useful english dictionary

  • upper limit — maximum, highest level allowed …   English contemporary dictionary

  • upper limit of measurement — viršutinė matavimo riba statusas T sritis fizika atitikmenys: angl. upper limit of measurement vok. obere Meßbereichsgrenze, f; obere Meßgrenze, f rus. верхний предел измерения, m pranc. limite supérieure de mesure, f …   Fizikos terminų žodynas

  • upper limit of audibility — viršutinė girdos riba statusas T sritis fizika atitikmenys: angl. upper limit of audibility vok. obere Hörbarkeitsgrenze, f; obere Hörgrenze, f; obere Hörschwelle, f rus. верхний предел слышимости, m pranc. limite supérieure d’audibilité, f …   Fizikos terminų žodynas

  • drained upper limit — noun the measure of the amount of water a soil is able to hold after drainage has ceased. Abbrev.: DUL Compare crop lower limit …   Australian English dictionary

  • 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

  • limit — lim|it1 W2S2 [ˈlımıt] n ▬▬▬▬▬▬▬ 1¦(greatest/least allowed)¦ 2¦(greatest amount possible)¦ 3¦(place)¦ 4 off limits 5 within limits 6 be over the limit 7 know your limits 8 have your limits ▬▬▬▬▬▬▬ [Date: 1300 140 …   Dictionary of contemporary English

  • upper — 1 adjective (only before noun) 1 in a higher position than something else: the upper lip 2 near or at the top of something: The monkeys live in the upper branches. 3 have/gain the upper hand to have more power than someone else, so that you are… …   Longman dictionary of contemporary English

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