What does curvature mean?

Definitions for curvature
ˈkɜr və tʃər, -ˌtʃʊərcur·va·ture

Here are all the possible meanings and translations of the word curvature.

Princeton's WordNet

  1. curvature(noun)

    (medicine) a curving or bending; often abnormal

    "curvature of the spine"

  2. curvature(noun)

    the rate of change (at a point) of the angle between a curve and a tangent to the curve

  3. curvature, curve(noun)

    the property possessed by the curving of a line or surface

Wiktionary

  1. curvature(Noun)

    The shape of something curved.

  2. curvature(Noun)

    The extent to which a subspace is curved within a metric space.

  3. curvature(Noun)

    The extent to which a Riemannian manifold is intrinsically curved.

Webster Dictionary

  1. Curvature(noun)

    the act of curving, or the state of being bent or curved; a curving or bending, normal or abnormal, as of a line or surface from a rectilinear direction; a bend; a curve

  2. Curvature(noun)

    the amount of degree of bending of a mathematical curve, or the tendency at any point to depart from a tangent drawn to the curve at that point

  3. Origin: [L. curvatura. See Curvate.]

Freebase

  1. Curvature

    In mathematics, curvature refers to any of a number of loosely related concepts in different areas of geometry. Intuitively, curvature is the amount by which a geometric object deviates from being flat, or straight in the case of a line, but this is defined in different ways depending on the context. There is a key distinction between extrinsic curvature, which is defined for objects embedded in another space in a way that relates to the radius of curvature of circles that touch the object, and intrinsic curvature, which is defined at each point in a Riemannian manifold. This article deals primarily with the first concept. The canonical example of extrinsic curvature is that of a circle, which everywhere has curvature equal to the reciprocal of its radius. Smaller circles bend more sharply, and hence have higher curvature. The curvature of a smooth curve is defined as the curvature of its osculating circle at each point. In a plane, this is a scalar quantity, but in three or more dimensions it is described by a curvature vector that takes into account the direction of the bend as well as its sharpness. The curvature of more complex objects is described by more complex objects from linear algebra, such as the general Riemann curvature tensor.

Numerology

  1. Chaldean Numerology

    The numerical value of curvature in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of curvature in Pythagorean Numerology is: 3

Examples of curvature in a Sentence

  1. Wayne Lam:

    I think we’re all trying to split hairs at the moment with the curvature of the design of the display.

  2. Gene Wolfe:

    There is no limit to stupidity. Space itself is said to be bounded by its own curvature, but stupidity continues beyond infinity.

  3. Michael Breus:

    That curvature of your spine is actually going cause direct pressure on the lower part of your vertebrae, over the course of time, it can cause low back pain.

  4. Abhay Ashtekar:

    Gravitational waves are literally ripples in the curvature of space-time that are caused by collisions of heavy and compact objects like black holes and neutron stars.

  5. Viktor Orban:

    We know well that the future is not defined by the curvature of the cucumber but by the bearing of the European man, we are part of Europe and want to shape its future together with the other nations.

Images & Illustrations of curvature

  1. curvaturecurvaturecurvature

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Translations for curvature

From our Multilingual Translation Dictionary

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"curvature." Definitions.net. STANDS4 LLC, 2019. Web. 24 Feb. 2019. <https://www.definitions.net/definition/curvature>.

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