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1. Not all continuous functions are differentiable.

2. They turn out to be differentiable at 0.

3. Every polynomial is differentiable, and so is every rational.

4. The results for differentiable homeomorphism are extended.

5. The function is continuously differentiable.

6. For most matrix of A, the linear differentiable equations with quasi - periodic finitely differentiable coefficients are reducible.

7. Theorem 1 ( Necessary Condition ) If is differentiable at, and is a local extreme value of, then.

8. We show that these Solutions are infinitely differentiable, and provide an uniform bound and an iterative formula for the solutions in this region as well.

9. Invent a function which is continuous for all x and yet not differentiable whenever x is a whole number.

10. This is a much stronger condition than real differentiability and implies that the function is infinitely often differentiable and can be described by its Taylor series.

11. In this paper, a decomposability theorem is presented and proved by differentiable manifolds theories.

12. For functions of them , the delta method implies the following result, proved in Section 14.1.4:Let denote a differentiable function of , with sample value for a multinomial sample.

13. First the associated Hamilton - Jacobi - Bellman ( HJB ) equation is given, then its continuously differentiable solution is constructed.

14. The traditional bi-level model formulation of these problems is transformed into a single-level continuously differentiable problem using a marginal function approach.

15. Stock prices are approximately brownian motion, which means they are everywhere continuous but nowhere differentiable.

16. This paper presents a primal-dual infeasible interior point algorithm for differentiable convex programming problem with box constraints, and prove that algorithm enjoys the global convergence.

17. This article was to offer the method about the complex function's differentiable and holomorphic.

18. A . Mas - Colell . The Theory of General Economic Equilibrium: A Differentiable Approach.

19. By virtue of this minimax problem as well as the directionally differentiable property of the functions in every subproblem, the first-order optimality conditions are obtained.

20. In this paper, chaos behavior of two - dimensional differentiable homeomorphism is discussed. A sufficient condition which is easy to check is given.

21. BP is a forwardbroadcasting multiply - layer - network that trains the weight of the differentiable nonlinear functions.

22. In this paper an interval iterative method is given for seeking the global maximum of a second order differentiable function.

23. The new definition of differential of vector function is consistent with the general, and based on it, vector function that differentiable at a point is defined.

24. As aspecial case , the viability of epigraph of a sub - differentiable function is discussed.

24. Sentencedict.com is a sentence dictionary, on which you can find nice sentences for a large number of words.

25. For the learning process, a new kind of empirical risk function is proposed which is differentiable and can be minimized by gradient descent strategy.

26. For a class of nonlinear bi-level programming whose follower-level problems are differentiable convex programming, a novel algorithm is proposed.

27. It is also proved as application that any bounded variation function can be seen as a differentiable function beside a set of arbitrary small measure.

28. Give a set of mean - value theorem in open - interval with non - differentiable points.

29. With the help of point - to - set maps, Zangwill makes general analysis on nonlinear programming algorithms, especially under differentiable case.

30. An exact integral expression of finite sum of sequence of a continuously differentiable function has been given, which can be used in approximate calculation with arbitrary accuracy.