Intervals {curve, topology} can map or transform onto planes. Curves are positive-direction moving-point paths.
Curves {rectifiable curve} can have limiting arc lengths. For interval (a,b), arc length = integral from x = a to x = b of (1 + (f'(x))^2)^0.5 * dx, where f(x) is curve function, and f'(x) is derivative.
Curves can wind 360 degrees around plane points {winding number} {index of the mapping}, depending on surface topology.
Outline of Knowledge Database Home Page
Description of Outline of Knowledge Database
Date Modified: 2022.0225