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1. But it is not a sufficient condition.

2. That the moral imperative was not a sufficient condition has already been remarked upon.

3. The condition looks very similar to the sufficient condition advanced in chapter 3 and may be proved in the same way.

4. Discipline is a necessary, but certainly not a sufficient condition for learning to take place.

5. This paper presents a new sufficient condition under which the linear T S fuzzy systems can uniformly approximate any real continuous functions defined on a compact set to any degree of accuracy.

6. The sufficient condition for system model and its inversion approximated by wavelet networks are presented.

7. By lattice-theoretic methods we give a necessary and sufficient condition for a continuous mapping with the codomain T_3 to be extended continuously from a dense subspace to the whole space.

8. In virtue of nonlinear measure, a delay- independent sufficient condition is derived for the existence, uniqueness and exponential stability of the equilibrium point.

9. This sufficient condition can be expressed in a form of linear matrix inequality for easy verification.

10. Gave a sufficient condition of determination a real symmetry matrix into a positive definite matrix,(http://sentencedict.com) and the promotion of the conclusions.

11. In the second chapter, we give a sufficient condition for a 4 - connected graph to be Hamiltonian.

12. In this paper, judgment equal relations necessary and sufficient condition and with the relational matrix judgment method is given, and has realized the concrete algorithm on the computer.

13. Sufficient condition for monotonous increase of the average fitness converging to the global maximum value is derived.

14. In this paper, the sufficient condition for self-excited oscillation of dynamic systems with gap is given by using qualitative method of differential equations.

15. Finally, by Mmatrix theory a simpler sufficient condition for the symmetric composite system with input saturation to be semiglobally decentralized stabilized is obtained.

16. We give a sufficient condition of the least maximum matching, it plays important role in the nullity of tree.

17. The main result is that we get a sufficient condition for the weak convergence of convolution powers of probability measures, by using the method of local grouplization.

18. In particular, a new necessary and sufficient condition is given for a connected graph G containing a perfect matching.

19. This paper presents and proves a sufficient condition of the invertibility of a general class of dynamic systems, which are represented by input- output differential equations.

20. The sufficient condition for the existence of limit cycle is proved using the Pioncare-Bendixson theory.

21. Based on the sufficient condition and the consideration of an equality constraint, the continuously dynamic output feedback controller was easily constructed for solving linear matrix inequalities.

22. Clearly, exclusion of through traffic is a necessary but not sufficient condition for creating safe and liveable streets.

23. Mental and physical actions in the environment are a necessary but not sufficient condition for cognitive development.

24. We would argue for a mild presumption that this sufficient condition is likely to be met.

25. While effective power may be a necessary condition of political legitimacy it is not a sufficient condition.

26. In the preceding example, womanhood and the right royal lineage are each individually necessary conditions for princesshood and conjointly they comprise a sufficient condition for princesshood.

27. Using this extended quadratic optimization theorem, the necessary and sufficient condition for the existence of stable quadratic optimal closed-loop system is obtained.

28. As an application, it obtains a new necessary and sufficient condition for determining the minimal surface lifted by a univalent harmonic function to be a plane.

29. Through making use of the matrix representation of quadric NURBS surface, sufficient condition of G1 continuity between two adjacent quadric NURBS surface has been provided.

30. Then using the Zhengding quadratic form theory, had proven a function of many variables condition extreme value's sufficient condition, and has given its application example.