Curvature

Definitions

1. The shape of something curved.
   countable, uncountable
2. The extent to which a subspace is curved within a metric space.
   countable, uncountable
3. The extent to which a Riemannian manifold is intrinsically curved.
   countable, uncountable

Equivalents

Examples

“Constructional costs are kept to a minimum by the admissibility of heavy grades and sharp curvature.”

“In the first of the movie's many striking images, we share⟳ his majestic view⟳ from the top, the curvature of the planet and the glow of the horizon brilliantly reflected in his helmet.”

“A turtle drawing an ellipse would have⟳ to turn⟳ more per distance traveled to get⟳ around its “pointy” sides than to get⟳ around its flatter top and bottom. This notion of how “pointy something is,” expressed as the ratio of angle turned to distance traveled, is the intrinsic quantity that mathematicians call⟳ curvature.”

CEFR level