MATH.8:6 - Bias-Annotation
Finite permutations make complete orbits cheap to display. Infinite and continuous actions can instead require symbolic parameterizations, different equality procedures or further mathematical methods. The complete finite examples therefore establish their own construction, while the general group argument states what can be reused.
Familiar visual symmetry can also hide supplied labels or coefficients. The equation and marked-cycle cases keep those data in the comparison.