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monotonic

Line breaks: mono|ton¦ic
Pronunciation: /mɒnə(ʊ)ˈtɒnɪk
 
/

Definition of monotonic in English:

adjective

1 Mathematics (Of a function or quantity) varying in such a way that it either never decreases or never increases.
Example sentences
  • The S-N curve for a pure metal will be a monotonic function with N increasing as stress decreases.
  • The number above each segment gives the rank of the absolute value of the monotonic increase or decrease.
  • The logarithm is only one of many nonlinear but monotonic functions that can be applied to measurements prior to analysis.
2Speaking or uttered with an unchanging pitch or tone: her dour, monotonic husband

Derivatives

monotonically

1
adverb
Example sentences
  • The equilibrium constant decreases monotonically approximately fourfold when the salt concentration is increased from 0.15 to 0.25 M.
  • No such phenomena have been reported in larger organisms, and the traditional theories for bacterial motion predict that the swimming speed monotonically decreases with viscosity.
  • Hypercapnia increased pulmonary ventilation monotonically, with the average value rising to 181% of baseline at 12% CO2.

monotonicity

2
noun
Example sentences
  • In short, in ceasing to be homogenous, they cannot escape their own monotonicity.
  • We are interested in testing the hypothesis of a relatively recent population expansion; thus we limited our investigation to the time interval where monotonicity applies.
  • This takes advantage of the better asymptotic properties of the difference in the log variances, as well as of the monotonicity of the transformation.

Definition of monotonic in:

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