monotone decreasing sequence
monotone decreasing sequence
[¦män·ə‚tōn di¦krēs·iŋ ′sē·kwəns] (mathematics)
A sequence of real numbers in which each term is equal to or less than the preceding term.
References in periodicals archive
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[G.sub.n] = [x.sub.n] [(1 + (1/n)).sup.1/2] (n [member of] [N.sup.*]) is a monotone decreasing sequence.
Therefore, {d([f.sup.n]z, x)} is a monotone decreasing sequence. Following the lemma 2.2, it can be proved that there exists a q [member of] int P [union] {0} such that
, [[phi].sub.k] (n) is a monotone decreasing sequence. Therefore, for any integer n > 1, there must exist a positive integer k [equivalent to] k (n) such that [[phi].sub.k](n) = 1.
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