gaussian curvature उदाहरण वाक्य

उदाहरण वाक्य

1. Gaussian curvature, whereas a vertex with a negative angular deficit represents a concentration of " negative"
2. The unit disk " U " with the Poincar?metric has negative Gaussian curvature  " 1.
3. The Gaussian curvature at a point can be recovered from parallel transport around increasingly small loops at the point.
4. It is not possible to specify a Riemannian metric on the torus with everywhere positive or everywhere negative Gaussian curvature.
5. For elliptical points where the Gaussian curvature is positive the intersection will either be empty or form a closed curve.
6. The fundamental result here is Gauss's theorema egregium, to the effect that Gaussian curvature is an intrinsic invariant.
7. Paper exhibits zero Gaussian curvature at all points on its surface, and only folds naturally along lines of zero curvature.
8. Whereas the Gaussian curvature of a hyperboloid of one sheet is negative, that of a two-sheet hyperboloid is positive.
9. This is a special case of the Gauss Bonnet theorem which relates the integral of the Gaussian curvature to the Euler characteristic.
10. Give with justification a compact surface in \ mathbb { R } ^ 3 without boundary whose Gaussian curvature must change sign.