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- nouncurvature (noun) · curvatures (plural noun)
- the fact of being curved or the degree to which something is curved:"spinal curvature" · "the curvature of the earth" · "it has a distinct curvature near the middle"
Originlate Middle English: via Old French from Latin curvatura, from curvare (see curve). - People also ask
- Curvature refers to the degree of curving of a line or surface12. It is a measure of how much the curve direction changes over a small distance traveled, indicating the instantaneous rate of change of direction of a point moving on the curve3. In the context of geometry, curvature is the derivative of the inclination of the tangent with respect to arc length2.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.: the act of curving : the state of being curved 2 : a measure or amount of curving specifically : the rate of change of the angle through which the tangent to a curve turns in moving along the curve and which for a circle is equal to the reciprocal of the radius 3 a : an abnormal curving (as of the spine)www.merriam-webster.com/dictionary/curvaturenoun the act of curving or the state of being curved. a curved condition, often abnormal: curvature of the spine. the degree of curving of a line or surface. Geometry. (at a point on a curve) the derivative of the inclination of the tangent with respect to arc length. the absolute value of this derivative.www.dictionary.com/browse/curvatureIntuitively, the curvature describes for any part of a curve how much the curve direction changes over a small distance travelled (e.g. angle in rad/m), so it is a measure of the instantaneous rate of change of direction of a point that moves on the curve: the larger the curvature, the larger this rate of change.en.wikipedia.org/wiki/Curvature
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Curvature | Wikipedia
In mathematics, curvature is any of several strongly related concepts in geometry that intuitively measure the amount by which a curve deviates from being a straight line or by which a surface deviates from being a plane. If a curve or surface is contained in a larger space, curvature can be defined … See more
In Tractatus de configurationibus qualitatum et motuum, the 14th-century philosopher and mathematician Nicole Oresme introduces the concept of curvature as a measure of departure from straightness; for … See more
Intuitively, the curvature describes for any part of a curve how much the curve direction changes over a small distance travelled (e.g. angle … See more
The mathematical notion of curvature is also defined in much more general contexts. Many of these generalizations emphasize different … See more
As in the case of curves in two dimensions, the curvature of a regular space curve C in three dimensions (and higher) is the … See more
By extension of the former argument, a space of three or more dimensions can be intrinsically curved. The curvature is intrinsic in the sense … See more
• Curvature form for the appropriate notion of curvature for vector bundles and principal bundles with connection
• Curvature of a measure for … See moreWikipedia text under CC-BY-SA license Curvature Definition & Meaning | Merriam-Webster
WEBLearn the meaning of curvature as the act of curving, the state of being curved, or a measure of curving. See synonyms, examples, word history, and related phrases of …
CURVATURE Definition & Meaning | Dictionary.com
WEBCurvature is the act of curving or the state of being curved, or the degree of curving of a line or surface. Learn more about the origin, usage and meaning of curvature in …
CURVATURE | English meaning | Cambridge Dictionary
WEBCurvature is the state of being curved or bent, or the way in which something curves. Learn more about the meaning, usage and examples of curvature in English and other languages.
CURVATURE | definition in the Cambridge English Dictionary
WEBCurvature is the state of being curved or bent, or the way in which something curves. Learn more about the meaning, usage and examples of curvature in English and other …
Curvature | Riemannian, Non-Euclidean & Manifolds | Britannica
WEBCurvature, in mathematics, the rate of change of direction of a curve with respect to distance along the curve. At every point on a circle, the curvature is the reciprocal of …
Curvature - Definition, Meaning & Synonyms | Vocabulary.com
WEBA rounded, bent, or arched shape in something is a curvature. When there's a wide expanse of open ocean, you can see the slight curvature of the earth right where it …
curvature noun | Definition, pictures, pronunciation and usage …
WEBcurvature. noun. /ˈkɜːvətʃə (r)/. /ˈkɜːrvətʃər/. [uncountable, countable] (specialist) the state of being curved; the amount that something is curved. the curvature of the earth. …
CURVATURE definition and meaning | Collins English Dictionary
WEBnoun. 1. something curved or a curved part of a thing. 2. any normal or abnormal curving of a bodily part. curvature of the spine. 3. geometry. the change in inclination of a …
curvature noun | Definition, pictures, pronunciation and usage …
WEBDefinition of curvature noun in Oxford Advanced American Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
Curvature -- from Wolfram MathWorld
WEBAug 15, 2024 · Curvature is a measure of how curved a curve or a surface is. Learn about the extrinsic and intrinsic curvatures of curves and surfaces, their formulas, …
curvature, n. meanings, etymology and more | Oxford English …
WEBWhat does the noun curvature mean? There are five meanings listed in OED's entry for the noun curvature. See ‘Meaning & use’ for definitions, usage, and quotation evidence. …
Curvature Definition (Illustrated Mathematics Dictionary) | Math is …
WEBIllustrated definition of Curvature: How curved a line or surface is. How much a curve varies from being straight or flat.
1.3: Curvature | Mathematics LibreTexts
WEBFeb 27, 2022 · Probably the simplest “curvy curve” is a circle 1 and that's what we'll use. Definition 1.3.1. The circle which best approximates a given curve near a given point is …
Curvature | Encyclopedia of Mathematics
WEBJun 5, 2020 · Curvature. A collective term for a series of quantitative characteristics (in terms of numbers, vectors, tensors) describing the degree to which some object (a …
Curvature (article) | Khan Academy
WEBIn formulas, curvature is defined as the magnitude of the derivative of a unit tangent vector function with respect to arc length: κ = | | d T d s | |. Don't worry, I'll talk about …
Calculus III - Curvature | Pauls Online Math Notes
WEBNov 16, 2022 · The curvature measures how fast a curve is changing direction at a given point. There are several formulas for determining the curvature for a curve. The formal …
Curvature | Glossary | Underground Mathematics
WEBThe definition of the curvature of a curve is κ = dθ ds κ = d θ d s, where θ θ is the angle the curve makes with a fixed direction at a point a distance s s along the curve: in other …
Curvature Definition & Meaning | YourDictionary
WEBCurvature definition: The ratio of the change in the angle of a tangent that moves over a given arc to the length of the arc.
Curvature and Radius of Curvature | math24.net
WEBFind the curvature and radius of curvature of the curve \[y = \cos mx\] at a maximum point.
2.3: Curvature and Normal Vectors of a Curve
WEBJul 25, 2021 · Definition of Curvature (repeat) More formally, if \(\textbf{T}(t)\) is the unit tangent vector function then the curvature, \(k\), is defined at the rate at which the unit …
Curvature | Calculus III | Lumen Learning
WEBExplain the meaning of the curvature of a curve in space and state its formula. An important topic related to arc length is curvature. The concept of curvature provides a …
[2408.10740] Anisotropic mean curvature type flow and capillary ...
WEB1 day ago · In this paper, an anisotropic volume-preserving mean curvature type flow for star-shaped anisotropic ω0 -capillary hypersurfaces in the half-space is studied, and the …