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1. The sine function, hyperbolic tangent, and other non-linear variations on these basic ideas have also been used.

2. In a hyperbolic plane an unlimited number of lines can pass through the point and not meet the given line.

3. Karl Gauss pioneered hyperbolic geometry.

4. The initial boundary value problem for nonlinear hyperbolic equation in three dimensional domain with moving boundary is studied.

5. Impulse hyperbolic partial differential equation oscillation higher order Laplace operator.

6. Elliptical, hyperbolic and parabolic interpolation algorithms are introduced in this dissertation, which are based on central angle division.

7. The hyperbolic function method has been used to study new exact travelling wave solutions for a class of nonlinear evolution equation.

8. In this article holomorphic curves in the complex hyperbolic space are discussed.

9. Two fdmilies Of characteristic lines in the hyperbolic region are not orthogonal.

10. Reducer used Gleason hyperbolic Drive, from single to multi - level multilevel transmission.

11. The convergence analysis for the second order hyperbolic equation with the P 1 - nonconforming finite element is discussed.

12. Furthermore, a hyperbolic function model of calculating the economic loss and the approach to determine the model's parameters are established for river basins.

13. The hyperbolic conservation laws with relaxation appear in many physical systems such as nonequilibrium gas dynamics, flood flow with friction, magnetohydrodynamics, etc.

14. So what is this hyperbolic geometry that corals and sea slugs embody?

15. The results show that the hyperbolic microlens a better coupling - performance.

16. The hyperbolic function method was used to study new exact travelling wave solutions for a class of nonlinear evolution equation.

17. So he theorized that, for democracies(sentencedict.com), waging war had a hyperbolic boomerang-like effect on society.

18. Tony Scott directs this movie to maximum shock effect with big images, loud music and hyperbolic confrontations.

19. In this paper, we prove the existence of the global solutions of Cauchy problem for quasi-linear hyperbolic equation without convexity condition.

20. Results show that it's rational to illustrate the relationship between skin friction and relative displacement by hyperbolic function.

21. This guidance law avoids the chattering of line-of-sight angular rate of attack missile by introducing the hyperbolic tangent function .

22. Explore to see if the following theorems of plane geometry still hold true under hyperbolic geometry.

23. An artificial boundary numerical method for the exterior problems of the hyperbolic equation is considered.

23. Sentencedict.com try its best to gather and make good sentences.

24. The results obtained shows the intrinsic difference of the neutral hyperbolic equations from hyperbolic equation.

25. In this paper, some GE schemes for the first order hyperbolic equation with constant coefficients are given. Then we analysis the stability and the error.

26. Spiral bevel gears carbide skiving cutter has designed by method of inclination cut and straight line profile, and the generating surface of cutter is hyperbolic but conic.

27. This paper has given the global uniqueness theory of solutions for a class of inverse problem in 1-D Wave equation of hyperbolic type.

28. According to the data statistics of max transformation aside of pit to time, the paper established 3 typical hyperbolic function of displacement to time (depth).

29. The nonexistence of global weak solution to elliptic equation and the evolution equation, together with the nonexistence of local weak solution to hyperbolic equation is contained in this paper.

30. The relation between piping resistance and dry density may be expressed by a hyperbolic function.