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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 to which a curve or surface deviates from being a straight line or a flat plane12. It is a mathematical concept used in geometry and calculus.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.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 extrinsically relative to the ambient space.en.wikipedia.org/wiki/CurvatureCurvature 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.www.definitions.net/definition/curvature - See more
See all on WikipediaCurvature - 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 … 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 curvature of curves drawn on a surface is the main tool for the defining and studying the curvature of the surface.
Curves on surfaces
For a curve drawn on a surface (embedded in three-dimensional Euclidean space See more• Curvature form for the appropriate notion of curvature for vector bundles and principal bundles with connection
• Curvature of a measure for a notion of curvature in measure theory
• Curvature of parametric surfaces See moreAs 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
The mathematical notion of curvature is also defined in much more general contexts. Many of these generalizations emphasize different … See more
Wikipedia text under CC-BY-SA license Curvature Definition & Meaning - Merriam-Webster
Learn 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.
CURVATURE | English meaning - Cambridge Dictionary
Curvature 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 & Meaning - Dictionary.com
Curvature 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 geometry …
CURVATURE | definition in the Cambridge English Dictionary
Curvature 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 | Riemannian, Non-Euclidean & Manifolds | Britannica
Oct 15, 2024 · Curvature is the rate of change of direction of a curve with respect to distance along the curve. Learn about different types of curvature, such as Riemannian, non …
CURVATURE definition and meaning | Collins English Dictionary
Curvature is the curved shape of something, especially when it is part of a circle. It can also refer to the normal or abnormal curving of a bodily part, or the rate of deviation of a curve from …
curvature noun - Definition, pictures, pronunciation and usage …
curvature. noun. /ˈkɜːvətʃə (r)/. /ˈkɜːrvətʃər/. [uncountable, countable] (specialist) the state of being curved; the amount that something is curved. the curvature of the earth. curvature of the …
Curvature - Definition, Meaning & Synonyms - Vocabulary.com
A 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 meets the horizon.
Curvature Definition & Meaning - YourDictionary
Curvature 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, n. meanings, etymology and more - Oxford English …
What 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 has …
Curvature Definition (Illustrated Mathematics Dictionary) - Math is …
Illustrated definition of Curvature: How curved a line or surface is. How much a curve varies from being straight or flat.
Curvature -- from Wolfram MathWorld
4 days ago · 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, examples, and …
Curvature - Encyclopedia of Mathematics
Jun 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 curve, a surface, a …
1.3: Curvature - Mathematics LibreTexts
Feb 27, 2022 · Definition 1.3.1. The circle which best approximates a given curve near a given point is called the circle of curvature or the osculating circle 2 at the point. The radius of the …
2.3: Curvature and Normal Vectors of a Curve
5 days ago · 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 tangent vector …
Calculus III - Curvature - Pauls Online Math Notes
Nov 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 definition of …
Curvature - Khan Academy
In 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 each step of …
CURVATURE definition in American English - Collins Online …
noun. 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 tangent to a …
A Finger Vein Recognition Algorithm Based on the Histogram of …
Sep 25, 2024 · The curvature is denoted by the parameter ψ and is defined as follows: ψ = 0 corresponds to the positive curvature, representing an upward concave curve, while ψ = 1 …
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