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单词 covariant
释义

Definition of covariant in English:

covariant

noun kəʊˈvɛːrɪəntˌkoʊˈvɛriənt
Mathematics
  • A function of the coefficients and variables of a given function which is invariant under a linear transformation except for a factor equal to a power of the determinant of the transformation.

    共变式

    Example sentencesExamples
    • This was significant even after adjustments for covariants.
    • This was dealt with by using the SES score as a covariant in the analysis.
    • Baseline covariants were included in models that were judged a priori to be clinically sound.
    • One-way analysis of covariance, with pretest scores as covariants, were used when tests for homogeneity of variance dictated that ANCOVA was warranted.
    • Residual depression scores and negative affectivity scores also were linked to cardiac-related mortality after adjusting for each other and for cardiac covariants.
adjective kəʊˈvɛːrɪəntˌkoʊˈvɛriənt
Mathematics
  • 1Changing in such a way that mathematical interrelations with another simultaneously changing quantity or set of quantities remain unchanged.

    共变的

    Example sentencesExamples
    • Size change is so covariant among morphological traits in general that separate body parts are often good estimators of change in other parts.
    • Salmon, in his famous text, gave an equation in covariant form.
    • In 1887 he published a famous paper in which he developed the calculus of tensors, following on the work of Christoffel, including covariant differentiation.
    • Moreover, for the minor factorial axis, the covariant part of characters becomes less intuitive and noise becomes more important.
    • The special theory of relativity is notorious for positing laws that turn what we thought were invariant quantities, e.g., length, duration, and mass, into covariant quantities.
    1. 1.1 Relating to or having the properties of a covariant.
      共变式的
      Example sentencesExamples
      • Thus each axis can be seen as a composite morphological character combining the covariant part of the initial morphometric parameters.
      • Salmon, in his famous text, gave an equation in covariant form.
      • However, such covariant mutation can also occur within closely related groups.
      • Moreover, for the minor factorial axis, the covariant part of characters becomes less intuitive and noise becomes more important.
      • In the theory of relativity, there are both covariant and invariant laws.

Definition of covariant in US English:

covariant

nounˌkōˈverēəntˌkoʊˈvɛriənt
Mathematics
  • A function of the coefficients and variables of a given function which is invariant under a linear transformation except for a factor equal to a power of the determinant of the transformation.

    共变式

    Example sentencesExamples
    • Residual depression scores and negative affectivity scores also were linked to cardiac-related mortality after adjusting for each other and for cardiac covariants.
    • This was significant even after adjustments for covariants.
    • One-way analysis of covariance, with pretest scores as covariants, were used when tests for homogeneity of variance dictated that ANCOVA was warranted.
    • This was dealt with by using the SES score as a covariant in the analysis.
    • Baseline covariants were included in models that were judged a priori to be clinically sound.
adjectiveˌkōˈverēəntˌkoʊˈvɛriənt
Mathematics
  • 1Changing in such a way that mathematical interrelations with another simultaneously changing quantity or set of quantities remain unchanged.

    共变的

    Example sentencesExamples
    • In 1887 he published a famous paper in which he developed the calculus of tensors, following on the work of Christoffel, including covariant differentiation.
    • Size change is so covariant among morphological traits in general that separate body parts are often good estimators of change in other parts.
    • The special theory of relativity is notorious for positing laws that turn what we thought were invariant quantities, e.g., length, duration, and mass, into covariant quantities.
    • Moreover, for the minor factorial axis, the covariant part of characters becomes less intuitive and noise becomes more important.
    • Salmon, in his famous text, gave an equation in covariant form.
    1. 1.1 Of, having the properties of, or relating to a covariant.
      共变式的
      Example sentencesExamples
      • Thus each axis can be seen as a composite morphological character combining the covariant part of the initial morphometric parameters.
      • However, such covariant mutation can also occur within closely related groups.
      • Salmon, in his famous text, gave an equation in covariant form.
      • Moreover, for the minor factorial axis, the covariant part of characters becomes less intuitive and noise becomes more important.
      • In the theory of relativity, there are both covariant and invariant laws.
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更新时间:2024/12/27 17:48:01