# monotonically

monotonically
In a monotonic manner.

Because he never spent any money, his bank balance increased monotonically.

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• 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 — See monotonic. * * * …   Universalium

• 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