Definition of covariant in English:

covariant

Syllabification: co·var·i·ant
Pronunciation: /kōˈve(ə)rēənt
 
/
Mathematics

noun

  • A function of the coefficients and variables of a given function that is invariant under a linear transformation except for a factor equal to a power of the determinant of the transformation.
    More example sentences
    • 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.
    • This was significant even after adjustments for covariants.

adjective

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  • 1Changing in such a way that mathematical interrelations with another simultaneously changing quantity or set of quantities remain unchanged.
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    • 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.
    • 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.
  • 1.1Of, having the properties of, or relating to a covariant.
    More example sentences
    • Salmon, in his famous text, gave an equation in covariant form.
    • However, such covariant mutation can also occur within closely related groups.
    • Thus each axis can be seen as a composite morphological character combining the covariant part of the initial morphometric parameters.

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