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TODO some sources distinguish invariant from covariant such that under some transformation (typically Lie group):
  • invariant: the value of does not change if we transform
  • covariant: the form of the equation does not change if we transform
    This is generally what we mean for the laws of physics. E.g. a Galilean transformation generally changes the exact values of coordinates, but not the form of the laws of physics themselves.
TODO concrete example.
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