mean curvature वाक्य
उदाहरण वाक्य
मोबाइल
- The term " k "-noid and trinoid is also sometimes used for constant mean curvature surfaces, especially branched versions of the unduloid ( " triunduloids " ).
- By the Young Laplace equation the curvature of a soap film is proportional to the difference in pressure between the sides : if it is zero, the membrane has zero mean curvature.
- The fact that mean curvature represents the rate of change in area follows from applying the above equation to F \ equiv 1 since \ int _ S \, dS is area:
- The surface is designated trapped if the cross sections of both congruences decrease in area as they exit the surface; and this is apparent in the mean curvature vector, which is:
- In normal topology hexagonal phases, which are formed by type I amphiphiles, the hydrocarbon chains are contained within the cylindrical aggregates such that the polar-apolar interface has a positive mean curvature.
- For manifolds embedded in a K�hler Einstein manifold, if the surface is a Lagrangian submanifold, the mean curvature flow is of Lagrangian type, so the surface evolves within the class of Lagrangian submanifolds.
- :A different choice is the mean curvature, which for a sphere " will be " the reciprocal of its radius .-- T 15 : 04, 15 May 2006 ( UTC)
- Capillary pressure is a function of the mean curvature of the interface at a given location at the surface, meaning the pressure is dependent on the two radii of curvature that give the shape of the surface.
- One further work of Germain's on elasticity was published posthumously in 1831 : her " M�moire sur la courbure des surfaces . " She used the mean curvature in her research ( see Honors in Number Theory ).
- The " Germain curvature " ( also called mean curvature ) is \ frac { k _ 1 + k _ 2 } { 2 }, when and are the maximum and minimum values of the normal curvature.
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