sectional curvature oor Sjinees
sectional curvature
Vertalings in die woordeboek Engels - Sjinees
截面曲率
en
scalar quantity; given two unit tangent vectors u, v at the same point, defined as K(u,v) = ⟨R(u,v)v,u⟩/(1-⟨u,v⟩2), where R is the Riemann curvature
Geskatte vertalings
Vertoon algoritmies gegenereerde vertalings
voorbeelde
Advanced filtering
Voorbeelde moet herlaai word.
At an umbilic all the sectional curvatures are equal; in particular the principal curvatures are equal.
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For example, the two centers corresponding to the maximum and minimum sectional curvatures are called the focal points, and the set of all such centers forms the focal surface.
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The maximum sectional curvature (4) is attained at a holomorphic 2-plane — one for which J(σ) ⊂ σ — while the minimum sectional curvature (1) is attained at a 2-plane for which J(σ) is orthogonal to σ.
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For most points on most surfaces, different sections will have different curvatures; the maximum and minimum values of these are called the principal curvatures.
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For the sphere the curvatures of all normal sections are equal, so every point is an umbilic.
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They need to have a continuous rate of curvature change between the two sections, or else their reflections will appear disconnected.
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Cabins were spacious by the standards of the time but often irregularly shaped, to conform with the curvature of the ship's stern and bow sections.
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For example, the two centers corresponding to the maximum and minimum sectional curvatures are called the focal points , and the set of all such centers forms the focal surface .
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Profile 3D measurement : Automatic measurement of cross section area and curvature, etc. By specifying a measurement line on screen, profiles such as length, line width, cross section area, curvature, and intersecting angles can be measured automatically.
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The sphere and plane are the only surfaces with this property. The sphere does not have a surface of centers. For a given normal section exists a circle of curvature that equals the sectional curvature, is tangent to the surface, and the center lines of which lie along on the normal line.
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For most points on most surfaces, different sections will have different curvatures; the maximum and minimum values of these are called the principal curvatures .
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Given a point on the surface and a direction lying in the tangent plane of the surface at that point, the normal section curvature is computed by intersecting the surface with the plane spanned by the point, the normal to the surface at that point, and the direction. The normal section curvature is the signed curvature of this curve at the point of interest. If we look at all directions in the tangent plane to the surface at our point, and we compute the normal section curvature in all these directions, then there will be a maximum value and a minimum value.
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12 sinne gevind in 4 ms. Hulle kom uit baie bronne en word nie nagegaan nie.