monotonically
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monotonically — adverb In a monotonic manner. Because he never spent any money, his bank balance increased monotonically … Wiktionary
Monotonically normal space — In mathematics, a monotonically normal space is a particular kind of normal space, with some special characteristics, and is such that it is hereditarily normal, and any two separated subsets are strongly separated. They are defined in terms of a … Wikipedia
monotonically increasing function — Increase In*crease , v. i. [imp. & p. p. {Increased}; p. pr. & vb. n. {Increasing}.] [OE. incresen, encresen, enrescen, OF. encreistre, fr. L. increscere; pref. in in + crescere to grow. See {Crescent}, and cf. {Decrease}.] [1913 Webster] 1. To… … The Collaborative International Dictionary of English
monotonically — adverb see monotonic … New Collegiate Dictionary
monotonically — adv. in a single unvarying tone; in the form of a monotonic function (Mathematics) … English contemporary dictionary
monotonically — mono·ton·i·cal·ly … English syllables
monotonically — adverb see monotonic … Useful english dictionary
monotonic — monotonically, adv. /mon euh ton ik/, adj. 1. of, pertaining to, or uttered in a monotone: a monotonic delivery of a lecture. 2. Math. a. (of a function or of a particular set of values of a function) increasing or decreasing. b. (of an ordered… … Universalium
Erdős–Szekeres theorem — In mathematics, the Erdős–Szekeres theorem is a finitary result, which makes precise one of the corollaries of Ramsey s theorem. While Ramsey s theorem makes it easy to prove that any sequence of distinct real numbers contains either a… … Wikipedia
Monotonic function — Monotonicity redirects here. For information on monotonicity as it pertains to voting systems, see monotonicity criterion. Monotonic redirects here. For other uses, see Monotone (disambiguation). Figure 1. A monotonically increasing function (it… … Wikipedia
