gaussian curvature sentence in Hindi
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- Is it actually Gaussian curvature 2 ? 23px13 : 47, 15 May 2006 ( UTC)
- The boundary case of equality is attained precisely when the metric is of constant Gaussian curvature.
- Take a hyperbolic plane whose Gaussian curvature is-\ frac1 { k ^ 2 }.
- There exist various pseudospheres in Euclidean space that have a finite area of constant negative Gaussian curvature.
- For hyperbolic points, where the Gaussian curvature is negative, the intersection will form a hyperbola.
- The less Gaussian curvature of the surface is the higher the accuracy of the plane mapping is.
- The pleated board is roughly isometric to a flat plane, which has a Gaussian curvature of 0.
- In the mid nineteenth century, the Gauss Bonnet theorem linked the Euler characteristic to the Gaussian curvature.
- Saddle surfaces have negative Gaussian curvature which distinguish them from convex / elliptical surfaces which have positive Gaussian curvature.
- Saddle surfaces have negative Gaussian curvature which distinguish them from convex / elliptical surfaces which have positive Gaussian curvature.
- Gaussian curvature, whereas a vertex with a negative angular deficit represents a concentration of " negative"
- The unit disk " U " with the Poincar?metric has negative Gaussian curvature " 1.
- The Gaussian curvature at a point can be recovered from parallel transport around increasingly small loops at the point.
- It is not possible to specify a Riemannian metric on the torus with everywhere positive or everywhere negative Gaussian curvature.
- For elliptical points where the Gaussian curvature is positive the intersection will either be empty or form a closed curve.
- The fundamental result here is Gauss's theorema egregium, to the effect that Gaussian curvature is an intrinsic invariant.
- Paper exhibits zero Gaussian curvature at all points on its surface, and only folds naturally along lines of zero curvature.
- Whereas the Gaussian curvature of a hyperboloid of one sheet is negative, that of a two-sheet hyperboloid is positive.
- This is a special case of the Gauss Bonnet theorem which relates the integral of the Gaussian curvature to the Euler characteristic.
- Give with justification a compact surface in \ mathbb { R } ^ 3 without boundary whose Gaussian curvature must change sign.
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