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covariant

Line breaks: co|vari¦ant
Pronunciation: /kəʊˈvɛːrɪənt
 
/
Mathematics

Definition of covariant in English:

noun

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.
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.
Example sentences
  • 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.
1.1Relating to or having the properties of a covariant.
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.

Definition of covariant in:

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