Pointwise Euclidean invariant of a curve
= Pointwise Euclidean invariant of a curve
A scalar assignment $Q(\gamma,s)$ is a pointwise Euclidean invariant in the weak covariance sense when it is unchanged by proper Euclidean motions and satisfies
$$
Q(\gamma_{s_0},s)=Q(\gamma,s-s_0)
$$
under translation of the arc-length parameter.