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单词 monotonic
释义 monotonic, a. Mus.|mɒnəʊˈtɒnɪk|
[f. monotone n. + -ic.]
1. Relating to or uttered in a monotone; ‘also capable of producing but a single tone, as a drum’ (Cent. Dict. 1890).
1797Encycl. Brit. (ed. 3) XII. 538/2 The fundamental bass which in itself is monotonic and little suited for singing [etc.].1828–32Webster, Monotonic, monotonous (little used).1850Helmore Man. Plain Song 227 Monotonic mediation.1880Rockstro in Grove Dict. Mus. II. 355/1 The use of Monotonic Recitation is of extreme antiquity.
2. Of a function or quantity: varying in such a way that it either never increases or never decreases. Of a sequence: consisting of terms that vary in this way. = monotone a. and n. A. 2, monotonous a. 3.
1901Ann. Math. II. 116 It follows that f(s) is a monotonic function that actually decreases in parts of the interval o≤sl.1908T. J. I'A. Bromwich Introd. Theory Infinite Series i. 5 A sequence in which an + 1an for all values of n is called an increasing sequence; and similarly if an + 1an for all values of n, the sequence is called decreasing. Both increasing and decreasing sequences are included in the term monotonic sequences.1923Proc. Cambr. Philos. Soc. XXI. 633 Z shall be monotonic considered as a function of ρ.1957G. E. Hutchinson Treat. Limnol. I. v. 251 The velocity at any point in a fluid could be expressed as a continuous monotonic or regularly oscillating function of time.1968E. T. Copson Metric Spaces i. 16 Every bounded monotonic sequence of real numbers is convergent.1970Nature 3 Oct. 36/2 The rate of uptake of calcium by the isolated reticulum..also displayed monotonic dependence on the concentration of free Ca2+ in the medium.1973Jrnl. Genetic Psychol. CXXII. 327 Young-adult responses were.. even more clearly a monotonic function of actual figure age than were preschool responses.
So monoˈtonical a.
1752Chesterfield Let. Son 23 Jan., A play, in which one should not be lulled to sleep by the length of a monotonical declamation.
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