gaussian curvature उदाहरण वाक्य

उदाहरण वाक्य

1. It states that the total Gaussian curvature of such a closed surface is equal to 2? times the Euler characteristic of the surface.
2. The "'Gaussian curvature "'is the product of the two principal curvatures ? = ? 1 ? 2.
3. where \ chi ( \ Sigma ) is the Euler characteristic of the surface and K ( u ) is the Gaussian curvature.
4. By immerse a complete hyperbolic plane ( a complete regular surface of constant negative Gaussian curvature ) in a three-dimensional Euclidean space.
5. The surface integral of the Gaussian curvature over some region of a surface is called the "'total curvature " '.
6. Umbilic points generally occur as isolated points in the elliptical region of the surface; that is, where the Gaussian curvature is positive.
7. Composing with stereographic projection, it follows that there is a smooth function such that has Gaussian curvature + 1 on the complement of.
8. It follows from Theorema Egregium that under this bending the Gaussian curvature at any two corresponding points of the catenoid and helicoid is always the same.
9. The sum of these quantities gives the mean curvature ( zero since the helicoid is a minimal surface ) and the product gives the Gaussian curvature.
10. The monkey saddle has an isolated umbilical point with zero Gaussian curvature at the origin, while the curvature is strictly negative at all other points.