### Definition of Covariant

1. Adjective. Changing so that interrelations with another variable quantity or set of quantities remain unchanged.

Similar to: Variable
Derivative terms: Covariance

### Definition of Covariant

1. n. A function involving the coefficients and the variables of a quantic, and such that when the quantic is lineally transformed the same function of the new variables and coefficients shall be equal to the old function multiplied by a factor. An invariant is a like function involving only the coefficients of the quantic.

### Definition of Covariant

1. Adjective. (category theory) (Of a functor) which preserves composition ¹

¹ Source: wiktionary.com

### Covariant Pictures

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### Lexicographical Neighbors of Covariant

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### Literary usage of Covariant

Below you will find example usage of this term as found in modern and/or classical literature:

1. A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on by George Salmon (1879)
"Calculate in like manner the covariant A'a + B'b + O'c + 2Ff + 2G'g + 2H'h. ... The order in the variables of any covariant of a cubic is a multiple of ..."

2. Proceedings of the Royal Society of London by Royal Society (Great Britain) (1904)
"If no quantic of the system is of order exceeding n, the maximum order of an irreducible covariant is the greatest of the numbers nS - 2* + -2, ..."

3. Lessons Introductory to the Modern Higher Algebra by George Salmon (1885)
"A covariant is a function involving not only the coefficients of a quantic, ... Every invariant of a covariant is an invariant of the original quantic. ..."

4. The Collected Mathematical Papers of Arthur Cayley by Arthur Cayley (1889)
"of any covariant W (which may be the quantic itself) of the quantic U, we have a new function which will be a covariant of the quantic. ..."

5. An Introduction to the Algebra of Quantics by Edwin Bailey Elliott (1895)
"We have found, suppose, a semin- variant of degree i and weight w. Take it for C0 in § 110. The leading term in the corresponding covariant of the binary ..."

6. Projective Differential geometry of Curves and ruled Surfaces by Ernest Julius Wilczynski (1906)
"I - ° S \ ;I 22/ ' 1.1 <y 2 22/ The covariant C3, therefore, determines a ... Our interpretation of the covariant C3 will consist in giving a construction ..."

7. A Treatise on the Theory of Invariants by Oliver Edmunds Glenn (1915)
"The rational curve R3 has, then, the covariant curve K(x) ... Other theorems on covariant curves may be found in W. Fr. Meyer's ..."

8. The Theory of General Relativity and Gravitation: Based on a Course of by Ludwik Silberstein (1922)
"The fact that some phenomenal qualities are technically (with our inherited mathematical apparatus) much more difficult to put into a generally covariant ..."