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Curvature vs Rotation - What's the difference?

curvature | rotation |

In mathematics terms the difference between curvature and rotation

is that curvature is the extent to which a subspace is curved within a metric space while rotation is an operation that a continuous isometry deformation that fixes at least one point can result in.

As nouns the difference between curvature and rotation

is that curvature is the shape of something curved while rotation is the act of turning around a centre or an axis.

curvature

English

Noun

(en noun)
  • The shape of something curved.
  • (mathematics) The extent to which a subspace is curved within a metric space.
  • The extent to which a Riemannian manifold is intrinsically curved.
  • rotation

    English

    Noun

    (en noun)
  • (chiefly, uncountable) The act of turning around a centre or an axis.
  • *{{quote-magazine, date=2013-03
  • , author=Frank Fish, George Lauder , title=Not Just Going with the Flow , volume=101, issue=2, page=114 , magazine= citation , passage=An extreme version of vorticity is a vortex . The vortex is a spinning, cyclonic mass of fluid, which can be observed in the rotation of water going down a drain, as well as in smoke rings, tornados and hurricanes.}}
    The earth's rotation about its axis is responsible for its being slightly oblate rather than a sphere.
  • A single complete cycle around a centre or an axis.
  • Earth's moon completes a rotation every twenty-seven days or so.
  • A regular variation in a sequence.
  • crop rotation
    The medical resident finished a two-week rotation in pediatrics and began one in orthopaedics.
  • (mathematics) An operation that a continuous isometry deformation that fixes at least one point can result in.
  • The function mapping (''x'',''y'') to (''&
  • x2212;y'',''x'') is a rotation .
  • (baseball) The set of (soplink) of a team.
  • (aviation) The step during takeoff when the pilot commands the vehicle to lift the nose wheel off the ground during the takeoff roll.