hyperbolicity वाक्य
उदाहरण वाक्य
मोबाइल
- Lyubich published in 1999 the first not computer assisted proof which also establishes hyperbolicity.
- In particular, it would imply the important " hyperbolicity conjecture " mentioned above.
- The first condition of the theorem is known as "'global hyperbolicity " '.
- Later work by various authors gave alternate proofs of this fact and better information on the hyperbolicity.
- Hertling has shown that the Mandelbrot set is computable in this model if the hyperbolicity conjecture is true.
- It is reasonable to believe that any physical spacetime will satisfy the strongest causality condition : global hyperbolicity.
- The hyperbolicity is essential to verify the picture discovered numerically by Feigenbaum and independently by Coullet and Tresser.
- In particular he solved or made progress on several conjectures about the hyperbolicity of subvarieties of algebraic varieties.
- For example, the following hyperbolicity results have led to new phenomena being discovered for the groups acting on them.
- Campanino and Epstein also gave a proof of the fixed point without computer assistance but did not establish its hyperbolicity.
- However, it turns out to be H�lder continuous, with an exponent depending on the constant of hyperbolicity of A.
- Lanford later gave a shorter proof using the Leray-Schauder fixed point theorem but establishing only the fixed point without the hyperbolicity.
- For surfaces, hyperbolicity of the nonwandering set implies the density of periodic points, but this is no longer true in higher dimensions.
- Although the definition of hyperbolicity is fundamentally a qualitative one, there are precise criteria that depend on the particular kind of differential equation under consideration.
- The definition of the coned off Cayley graph can be generalized to the case of a collection of subgroups and yields the corresponding notion of relative hyperbolicity.
- Such groups are in fact virtually free ( i . e . contain a finitely generated free subgroup of finite index ), which gives another proof of their hyperbolicity.
- In mathematical physics, "'global hyperbolicity "'is a certain condition on the causal structure of a spacetime manifold ( that is, a Lorentzian manifold ).
- It allows to read off certain geometric properties of the latter, in particular it explains the empirical fact that while Teichm�ller space itself is not hyperbolic it retains certain features of hyperbolicity.
- Since the curvature is multiplied by \ lambda ^ {-1 } we see that in this example " the more ( negatively ) curved the space is, the more hyperbolic it is ( measured by its hyperbolicity constant \ delta ) ".
- With respect to curvature and hyperbolicity it should be noted however that while curvature is a property that is essentially local, hyperbolicity is a large-scale property which does not see local ( i . e . happening in a bounded region ) metric phenomena.
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