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upper limit
名詞
(mathematical 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.
日本語の意味
(解析学)実数列の各部分列の上限(すなわち、各段階での残りの項の上界)の中で最も低い値、すなわち上極限を示す。
英語の意味
(mathematical 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.
関連語
upper limits
名詞
活用形
複数形
plural of upper limit
原形:
upper limit
日本語の意味
上限(複数形)
英語の意味
plural of upper limit