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Curvature vs Convex - What's the difference?

curvature | convex |

As nouns the difference between curvature and convex

is that curvature is the shape of something curved while convex is any convex body or surface.

As an adjective convex is

curved or bowed outward like the outside of a bowl or sphere or circle.

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.

    • convex

    English

    Adjective

    (en adjective)
  • curved or bowed outward like the outside of a bowl or sphere or circle
  • * Whewell
    • Drops of water naturally form themselves into figures with a convex surface.
  • (mathematics, not comparable, of a set) arranged such that for any two points in the set, a straight line between the two points is contained within the set.
  • (geometry, not comparable, of a polygon) having no internal angles greater than 180 degrees.
  • (functional analysis, not comparable, of a real-valued function on the reals) having an epigraph which is a convex set.

    • Antonyms

    * concave

    Derived terms

    * convex combination * convex set

    Noun

    (es)
  • Any convex body or surface.
  • * Tickell
    • Half heaven's convex glitters with the flame.

    References

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