covariantn.adj.

/kəʊˈvɛːrɪənt/

Etymology: < co- prefix 6 + variant adj. and n.

A. n. Mathematics.

(See quot. 1853.)

ΘΚΠ

the world > relative properties > number > algebra > [noun] > expression > function > covariance or covariant

Jacobian1852

covariant1853

Hessian1856

transmutant1858

transvectant1876

covariance1878

segregate1878

covariancy1895

1853 Sylvester in Philos. Trans. (Royal Soc.) 143 i. 544 Covariant, a function which stands in the same relation to the primitive function from which it is derived as any of its linear transforms do to a similarly derived transform of its primitive.

1886 G. S. Carr Synopsis Elem. Results Math. II. §1629.

1959 Chambers's Encycl. I. 260/2 The extensive theory of invariants and covariants has many applications in geometry.

1967 E. U. Condon & H. Odishaw Handbk. Physics (ed. 2) i. x. 144/1 In theory of relativity the distinction between quantities which change with the reference system (covariants) and quantities which do not change with the reference system (invariants) is of paramount importance.

B. adj.

Changing in such a way that interrelations with another simultaneously changing quantity or set of quantities remain unchanged; correlated; spec. in Mathematics, having the properties of a covariant; of or pertaining to a covariant.

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > transformation > [adjective] > being invariant or covariant

invariantive1878

covariant1905

invariant1908

1905 C. J. Joly Man. Quaternions xvii. 290 The functions..undergo the same transformation [as the original functions] and may be said to be covariant with the original functions for this type of transformation.

1920 R. W. Lawson tr. A. Einstein Relativity xiv. 43 General laws of nature are co-variant with respect to Lorentz transformations.

1956 Nature 11 Feb. 268/2 The possibility of having an acceptable theory which, although not covariant..leads only to covariant observable predictions.

1957 in S. Saporta & J. R. Bastian Psycholinguistics (1961) 290/2 The data obtained should be demonstrably covariant with those obtained with some other, independent index of meaning.

1959 J. Aharoni Special Theory of Relativity ii. 85 Tensors are said to be covariant entities and absolute relations between them, which do not change their form as the coordinates are transformed, are said to be covariant relations.

1968 Amer. Jrnl. Physics 36 1103/2 The two Einstein postulates state that the laws of physics and speed of light do not change for relatively moving reference systems (being covariant and invariant, respectively).

This entry has not yet been fully updated (first published 1893; most recently modified version published online June 2018).

单词	covariant
释义	covariantn.adj. /kəʊˈvɛːrɪənt/ Etymology: < co- prefix 6 + variant adj. and n. A. n. Mathematics. (See quot. 1853.) ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > function > covariance or covariant Jacobian1852 covariant1853 Hessian1856 transmutant1858 transvectant1876 covariance1878 segregate1878 covariancy1895 1853 Sylvester in Philos. Trans. (Royal Soc.) 143 i. 544 Covariant, a function which stands in the same relation to the primitive function from which it is derived as any of its linear transforms do to a similarly derived transform of its primitive. 1886 G. S. Carr Synopsis Elem. Results Math. II. §1629. 1959 Chambers's Encycl. I. 260/2 The extensive theory of invariants and covariants has many applications in geometry. 1967 E. U. Condon & H. Odishaw Handbk. Physics (ed. 2) i. x. 144/1 In theory of relativity the distinction between quantities which change with the reference system (covariants) and quantities which do not change with the reference system (invariants) is of paramount importance. B. adj. Changing in such a way that interrelations with another simultaneously changing quantity or set of quantities remain unchanged; correlated; spec. in Mathematics, having the properties of a covariant; of or pertaining to a covariant. ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > transformation > [adjective] > being invariant or covariant invariantive1878 covariant1905 invariant1908 1905 C. J. Joly Man. Quaternions xvii. 290 The functions..undergo the same transformation [as the original functions] and may be said to be covariant with the original functions for this type of transformation. 1920 R. W. Lawson tr. A. Einstein Relativity xiv. 43 General laws of nature are co-variant with respect to Lorentz transformations. 1956 Nature 11 Feb. 268/2 The possibility of having an acceptable theory which, although not covariant..leads only to covariant observable predictions. 1957 in S. Saporta & J. R. Bastian Psycholinguistics (1961) 290/2 The data obtained should be demonstrably covariant with those obtained with some other, independent index of meaning. 1959 J. Aharoni Special Theory of Relativity ii. 85 Tensors are said to be covariant entities and absolute relations between them, which do not change their form as the coordinates are transformed, are said to be covariant relations. 1968 Amer. Jrnl. Physics 36 1103/2 The two Einstein postulates state that the laws of physics and speed of light do not change for relatively moving reference systems (being covariant and invariant, respectively). This entry has not yet been fully updated (first published 1893; most recently modified version published online June 2018). < n.adj.1853
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