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monotonic

- 4 dictionary results

mon⋅o⋅ton⋅ic

  [mon-uh-ton-ik]
Use monotonic in a Sentence
–adjective
1. of, pertaining to, or uttered in a monotone: a monotonic delivery of a lecture.
2. Mathematics.
a. (of a function or of a particular set of values of a function) increasing or decreasing.
b. (of an ordered system of sets) consisting of sets such that each set contains the preceding set or such that each set is contained in the preceding set.
Origin:
1790–1800; monotone + -ic

Related forms:
mon⋅o⋅ton⋅i⋅cal⋅ly, adverb
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
Cite This Source Link To monotonic
mon·o·tone   (mŏn'ə-tōn')   
n.  
  1. A succession of sounds or words uttered in a single tone of voice.
  2. Music
    1. A single tone repeated with different words or time values, especially in a rendering of a liturgical text.
    2. A chant in a single tone.
  3. Sameness or dull repetition in sound, style, manner, or color.
adj.  
  1. Characterized by or uttered in a monotone: a monotone recitation of names.
  2. Of or having a single color: a cat with a monotone coat.
  3. also mon·o·ton·ic (mŏn'ə-tŏn'ĭk) Mathematics Designating sequences, the successive members of which either consistently increase or decrease but do not oscillate in relative value. Each member of a monotone increasing sequence is greater than or equal to the preceding member; each member of a monotone decreasing sequence is less than or equal to the preceding member.

[From Greek monotonos, monotonous; see monotonous.]
mon'o·ton'ic (-tŏn'ĭk) adj., mon'o·ton'i·cal·ly adv.
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Monotonic

Mon`o*ton"ic\, Monotonical \Mon`o*ton"ic*al\, a. Of, pertaining to, or uttered in, a monotone; monotonous. "Monotonical declamation." --Chesterfield.
Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc.
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monotonic
In domain theory, a function f : D -> C is monotonic (or monotone) if
for all x,y in D, x <= y => f(x) <= f(y).
("<=" is written in LaTeX as sqsubseteq).
(1994-11-24)

The Free On-line Dictionary of Computing, © 1993-2007 Denis Howe
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