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Invariant vs covariant

Some sources distinguish "invariant" from "covariant" such that under some transformation (typically Lie group):

invariant: the value of $f (x)$ does not change if we transform $x$
covariant: the form of the equation $f (x)$ does not change if we transform $x$ .

TODO examples.

Bibliography:

Ancestors

Incoming links

Covariance