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# monotonic function

a function that either never decreases or never increases as its independent variable increases.

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• 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

• monotonic — adjective /ˌmɒnəˈtɒnɪk,ˌmɑnəˈtɑnɪk/ a) of or using the Greek system of diacritics which discards the breathings and employs a single accent to indicate stress. b) said of a function that either never decreases or never increases as its… …   Wiktionary

• Monotonic — Mon o*ton ic, Monotonical Mon o*ton ic*al, a. 1. Of, pertaining to, or uttered in, a monotone; monotonous. Monotonical declamation. Chesterfield. [1913 Webster] 2. (Math.) Always increasing or always decreasing, as the value of the independent… …   The Collaborative International Dictionary of English

• Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …   Wikipedia

• 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

• monotonic — mon•o•ton•ic [[t]ˌmɒn əˈtɒn ɪk[/t]] adj. 1) of, pertaining to, or uttered in a monotone: a monotonic delivery of a lecture[/ex] 2) Math. a) (of a function or a particular set of values of a function) increasing or decreasing b) (of an ordered… …   From formal English to slang

• monotonic increasing — adjective (of a function) always increasing or remaining constant, and never decreasing; contrast this with strictly increasing …   Wiktionary

• monotonic decreasing — adjective (of a function) always decreasing or remaining constant, and never increasing; contrast this with strictly decreasing …   Wiktionary

• monotonic transformation — simplifying a function without changing its direction (Mathematics) …   English contemporary dictionary

• monotonic — adjective 1》 Mathematics (of a function or quantity) varying in such a way that it either never decreases or never increases. 2》 speaking or uttered in a monotone. Derivatives monotonically adverb monotonicity noun …   English new terms dictionary