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词汇 monotonic
释义

Definition of monotonic in English:

monotonic

adjective mɒnə(ʊ)ˈtɒnɪkˌmɑnəˈtɑnɪk
  • 1Mathematics
    (of a function or quantity) varying in such a way that it either never decreases or never increases.

    〔数〕(函数,量)单调的

    Example sentencesExamples
    • The number above each segment gives the rank of the absolute value of the monotonic increase or decrease.
    • The S-N curve for a pure metal will be a monotonic function with N increasing as stress decreases.
    • What leads us astray is the assumption that interval calculations can be based on end points alone, which is true only for monotonic functions.
    • The logarithm is only one of many nonlinear but monotonic functions that can be applied to measurements prior to analysis.
    • In contrast to an undiluted probe surface, the hybridization signals exhibited a tendency of monotonic decrease with increasing ionic strength.
  • 2Speaking or uttered with an unchanging pitch or tone.

    单调的;语音语调无变化的

    her dour, monotonic husband

    她那阴郁、语调沉闷的丈夫。

Derivatives

  • monotonically

  • adverb
    • 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.
      Example sentencesExamples
      • For a lethal recessive allele, mean frequency monotonically decreases as population size decreases.
      • Although there was a trend that the time period until reoccupation differs between territory types, the average values did not tend to change monotonically with territory quality.
      • The equilibrium constant decreases monotonically approximately fourfold when the salt concentration is increased from 0.15 to 0.25 M.
      • Hypercapnia increased pulmonary ventilation monotonically, with the average value rising to 181% of baseline at 12% CO2.
  • monotonicity

  • noun
    • This takes advantage of the better asymptotic properties of the difference in the log variances, as well as of the monotonicity of the transformation.
      Example sentencesExamples
      • Knowing some of their properties, such as monotonicity, is often sufficient to constrain the behavior of the variables.
      • 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.
      • The significance of monotonicity is that simple linear models are able to capture interaction effects and nonlinear effects amazingly well.

Rhymes

anachronic, animatronic, bionic, Brythonic, bubonic, Byronic, canonic, carbonic, catatonic, chalcedonic, chronic, colonic, conic, cyclonic, daemonic, demonic, diatonic, draconic, electronic, embryonic, euphonic, harmonic, hegemonic, histrionic, homophonic, hypersonic, iconic, ionic, ironic, isotonic, laconic, macaronic, Masonic, Miltonic, mnemonic, moronic, Napoleonic, philharmonic, phonic, Platonic, Plutonic, polyphonic, quadraphonic, sardonic, saxophonic, siphonic, Slavonic, sonic, stereophonic, subsonic, subtonic, symphonic, tectonic, Teutonic, thermionic, tonic, transonic, ultrasonic

Definition of monotonic in US English:

monotonic

adjectiveˌmɑnəˈtɑnɪkˌmänəˈtänik
  • 1Mathematics
    (of a function or quantity) varying in such a way that it either never decreases or never increases.

    〔数〕(函数,量)单调的

    Example sentencesExamples
    • The S-N curve for a pure metal will be a monotonic function with N increasing as stress decreases.
    • The logarithm is only one of many nonlinear but monotonic functions that can be applied to measurements prior to analysis.
    • The number above each segment gives the rank of the absolute value of the monotonic increase or decrease.
    • What leads us astray is the assumption that interval calculations can be based on end points alone, which is true only for monotonic functions.
    • In contrast to an undiluted probe surface, the hybridization signals exhibited a tendency of monotonic decrease with increasing ionic strength.
  • 2Speaking or uttered with an unchanging pitch or tone.

    单调的;语音语调无变化的

    her dour, monotonic husband

    她那阴郁、语调沉闷的丈夫。

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