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The curvature of a curve can naturally be considered as a kinematic quantity, representing the force felt by a certain observer moving along the curve; analogously, curvature in higher dimensions can be regarded as a kind of tidal force (this is one way of thinking of the sectional curvature).
5 days ago · Curvature. In general, there are two important types of curvature: extrinsic curvature and intrinsic curvature.
Feb 27, 2022 · 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 circle of curvature is called the radius of curvature at the point and is normally denoted ρ. The curvature at the point is κ = 1 ρ.
The meaning of CURVATURE is the act of curving : the state of being curved. How to use curvature in a sentence.
The curvature, denoted κ. , is one divided by the radius of curvature. 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 computing this value.
- no it's not a stupid question:), you can prove the formula of the curvature by assuming a circle which touch the curve at some point (x,y) and then...
- Actually for a surface, curvature would depend on the direction of the cross-section you take at the point, and in general, if I recall correctly,...
- No. We do not differentiate the velocity vector. We differentiate the position vector, in order to get the velocity vector, and normalize that. Tha...
- there is a math way to demonstrate that: if you take the derivative of the dot product T·T=1; d/dt(T·T)=d/dt(1); d/dt(T)·T+T·d/dt(T)=0; 2 d/dt(T)·T...
- It's a sarcastic tag to poke fun at wikipedia wanting to site EVERYTHING, including the fact that 2 isn't 1. xkcd likes to poke fun at this.
the state of being curved or bent: the curvature of the earth's surface. a pronounced curvature of the spine. SMART Vocabulary: related words and phrases. Geometry: properties of circles & curves. amplitude. arched. bore. circularity. circumferential. concavity. concentrically. conic. curvy. domed. eccentric. girth. globular. incisura. lenticular.
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 Riemannian space, etc.) deviates in its properties from certain other objects (a straight line, a plane, a Euclidean space, etc.) which are considered to be flat.
