affine curvature in a sentence

1. In the plane, this gives a single scalar invariant, the affine curvature of the curve.
2. Where the general affine group is not used, the special affine curvature " k " is sometimes also called the affine curvature.
3. Where the general affine group is not used, the special affine curvature " k " is sometimes also called the affine curvature.
4. *Given any continuous function " k " : [ " a ", " b " ] ?! "'R "', there exists a curve ? whose first and second derivatives are linearly independent, such that the special affine curvature of ? relative to the special affine parameterization is equal to the given function " k ".
5. It's difficult to find affine curvature in a sentence.