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covariant

transforming consistently / coordinate-dependent object
Adjective[C/U] Both
pl: covariants

This term is primarily used in high-level mathematics and physics, specifically in tensor calculus and differential geometry. It describes a specific relationship where a quantity transforms in the same direction as the basis vectors of the space it inhabits. It is the direct opposite of contravariant, which describes quantities that transform in the inverse direction. In a practical sense, the word evokes a sense of symmetry and structural stability. When a physicist refers to a covariant equation, they are implying that the law of physics remains valid regardless of how an observer chooses to measure the coordinates, emphasizing a universal truth that transcends a specific perspective.

Countable when referring to a specific mathematical entity (a covariant). Uncountable when used as a property of a variable or tensor (the system is covariant).

Meanings

Adjectivetransforming consistently

Changing in a consistent way relative to another variable when a coordinate system is transformed.

"The tensor is covariant with respect to the coordinate transformation."

Nouncoordinate-dependent object

A mathematical object that transforms according to a specific rule under a change of basis.

"The covariant was calculated using the metric tensor."

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Last Updated: June 8, 2026Report an Error