negative curvature sentence in Hindi
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- Trigonometry on surfaces of negative curvature is part of hyperbolic geometry.
- If it were actually open, it would have negative curvature throughout.
- Similar examples are CAT spaces of negative curvature.
- In 1939 Hopf established ergodicity of the geodesic flow on manifolds of constant negative curvature.
- The presence of two acyl chains but no headgroup results in a large negative curvature in membranes.
- Here, the largest circle is taken as having negative curvature with respect to the other three.
- Alternatively, the plane can also be given a metric which gives it constant negative curvature giving the hyperbolic plane.
- His foundational work on geometry and symbolic dynamics continued in 1898 with the study of geodesics on surfaces of negative curvature.
- Euclidean ) plane is a surface of constant zero curvature, and a hyperbolic plane is a surface of constant negative curvature.
- One celebrated example of Anosov flow is given by the geodesic flow on a surface of constant negative curvature, cf Hadamard billiards.
- :: The high pressure and temperature of the venusian atmosphere would cause the horizon to have negative curvature due to extreme optical refraction.
- Negative curvature means curved hyperbolically, like a saddle surface or the Gabriel's Horn surface, similar to that of a trumpet bell.
- Since the space of meromorphic 1-forms is a 1-dimensional vector space over the curvature, zero curvature, or negative curvature.
- Early notable results of Bowditch include clarifying the classic notion of geometric finiteness for higher-dimensional Kleinian groups in constant and variable negative curvature.
- Nathaniel Friedman writes, " The surfaces [ of Longhurst's sculptures ] generally have appealing sections with negative curvature ( saddle surfaces ).
- That's the definition of a hypersphere; a torus has positive curvature at some places along its surface, negative curvature at others.
- On the doughnut, the surface around the'doughnut hole'is deformed with negative curvature while the surface outside is deformed with positive curvature.
- As a result, the universal cover of any closed manifold M of constant negative curvature " 1 is \ mathbb { H } ^ n.
- Dispersing boundary plays the same role for billiards as negative curvature does for Bernoulli, having a positive Kolmogorov-Sinai entropy and an exponential decay of correlations.
- Regions of negative curvature ( " 2 f / " c 2 2 f / " c 2 = 0 ) which are called the spinodes.
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