Upper-limit Definition

noun

(analysis) 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.

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Other Word Forms of Upper-limit

Noun

Singular:
upper-limit
Plural:
upper-limits

Upper-limit Sentence Examples

  • In the cattle classes, aged beasts of huge size and of considerably over a ton in weight used to be common, but in recent years the tendency has been to reduce the upper limit of age, and thus to bring out animals ripe for the butcher in a shorter time than was formerly the case.

  • Thus the class of rational numbers whose squares are less than 2 has no upper limit among the rational numbers.

  • Berry-yielding plants are found everywhere, even on the goltsy, at the upper limit of tree vegetation; on the lower grounds they are an article of diet.

  • We may usually suppose that a large number of the outer rings are incomplete, so that the integrated term at the upper limit may properly be taken to vanish.

  • The thermochemical properties of the constituents of an explosive will assign an upper limit to the volume, temperature and pressure of the gas produced by the combustion; but much experiment is required in addition.

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Words Starting With

UUPUPP

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Words Starting With U and Ending With T

Starts With U & Ends With TStarts With UP & Ends With TStarts With U & Ends With IT

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11 Letter Words11 Letter Words Starting With U11 Letter Words Ending With T