hyperbolicity meaning in Hindi

Examples

1. Lyubich published in 1999 the first not computer assisted proof which also establishes hyperbolicity.
2. In particular, it would imply the important " hyperbolicity conjecture " mentioned above.
3. The first condition of the theorem is known as "'global hyperbolicity " '.
4. Later work by various authors gave alternate proofs of this fact and better information on the hyperbolicity.
5. Hertling has shown that the Mandelbrot set is computable in this model if the hyperbolicity conjecture is true.
6. It is reasonable to believe that any physical spacetime will satisfy the strongest causality condition : global hyperbolicity.
7. The hyperbolicity is essential to verify the picture discovered numerically by Feigenbaum and independently by Coullet and Tresser.
8. In particular he solved or made progress on several conjectures about the hyperbolicity of subvarieties of algebraic varieties.
9. For example, the following hyperbolicity results have led to new phenomena being discovered for the groups acting on them.
10. Campanino and Epstein also gave a proof of the fixed point without computer assistance but did not establish its hyperbolicity.