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

Princeton's WordNetRate this definition:0.0 / 0 votes

1. curvaturenoun

   (medicine) a curving or bending; often abnormal

   "curvature of the spine"

2. curvaturenoun

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

3. curvature, curvenoun

   the property possessed by the curving of a line or surface

WiktionaryRate this definition:0.0 / 0 votes

1. curvaturenoun

   The shape of something curved.

2. curvaturenoun

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

3. curvaturenoun

   The extent to which a Riemannian manifold is intrinsically curved.

Samuel Johnson's DictionaryRate this definition:0.0 / 0 votes

1. Curvaturenoun

   Crookedness; inflexion; manner of bending.

   Etymology: from curve.

   George Cheyne, Phil. Prin.

   Flaccid it was beyond the activity of the muscle, and curvature of the ossicles, to give it a due tension. William Holder.

WikipediaRate this definition:0.0 / 0 votes

1. Curvature

   In mathematics, curvature is any of several strongly related concepts in geometry. Intuitively, the curvature is the amount by which a curve deviates from being a straight line, or a surface deviates from being a plane. For curves, the canonical example is that of a circle, which has a curvature equal to the reciprocal of its radius. Smaller circles bend more sharply, and hence have higher curvature. The curvature at a point of a differentiable curve is the curvature of its osculating circle, that is the circle that best approximates the curve near this point. The curvature of a straight line is zero. In contrast to the tangent, which is a vector quantity, the curvature at a point is typically a scalar quantity, that is, it is expressed by a single real number. For surfaces (and, more generally for higher-dimensional manifolds), that are embedded in a Euclidean space, the concept of curvature is more complex, as it depends on the choice of a direction on the surface or manifold. This leads to the concepts of maximal curvature, minimal curvature, and mean curvature. For Riemannian manifolds (of dimension at least two) that are not necessarily embedded in a Euclidean space, one can define the curvature intrinsically, that is without referring to an external space. See Curvature of Riemannian manifolds for the definition, which is done in terms of lengths of curves traced on the manifold, and expressed, using linear algebra, by the Riemann curvature tensor.

ChatGPTRate this definition:0.0 / 0 votes

1. curvature

   Curvature is a measure or quantity that describes the degree to which a curve, surface, or any other geometric object deviates from being a flat plane or straight line. It is a mathematical concept used in calculus and differential geometry, often expressed as a scalar or vector value. In terms of a curve, it is the inverse of the radius of the circle that best approximates a tiny section of the curve. For surfaces, it is typically described by two values, the maximum and minimum values of curvature over all possible directions.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Curvaturenoun

   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. Curvaturenoun

   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. Etymology: [L. curvatura. See Curvate.]

WikidataRate this definition:0.0 / 0 votes

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.

Matched Categories

1. • Condition
   • Derived Function
   • Medicine
   • Shape

How to pronounce curvature?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

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   Zira

   US English

   Oliver

   British

   Wendy

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   Fred

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   Tessa

   South African

How to say curvature in sign language?

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. 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.

2. 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.

3. 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.

4. Wayne Lam:

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

5. Andrew Siemion:

   We're going to look very closely, as closely as we can. We are limited in terms of how long we can view a target given the curvature of the earth (and) instrumentation, if we're awarded the observation, we'll have between 24 to 36 hours with a variety of different radio receivers.

Popularity rank by frequency of use

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=curvature
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Curvature
3. ^ Samuel Johnson's Dictionary
   https://johnsonsdictionaryonline.com/views/search.php?term=curvature
4. ^ Wikipedia
   https://en.wikipedia.org/wiki/Curvature
5. ^ ChatGPT
   https://chat.openai.com
6. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/curvature
7. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=curvature