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1. Under these conditions the slight convexity caused by rejuvenation will be quickly rendered even less conspicuous by subsequent river erosion.

2. This completes the proof of the convexity theorem.

3. Weak duality theorem is established under generalized convexity conditions.

4. The invention provides a variable convexity working roll for rolling plates, sheets and strips, and a roll shape curve thereof adopts a composite function.

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5. Excessive convexity, severe wedge, dissymmetric convexity and partial protrusion will result in sticking of sheets during annealing in the bell-type furnace.

6. Conlusion:System for localizinggyri and sulci along the low-middle convexity on sagittal MRI, providing an effective and valuable tool for localization.

7. Sometimes different combinations in the concavity and convexity of functions may construct a new theorem.

8. Under the convexity assumption on objective function, the globle convergence of this method is proved.

9. In this paper it is proved that uniform convexity metric linear spaces with completeness are reflexive.

10. Convexity - screw is usually important parts which has highly machining accuracy for mechanical product.

11. It is also difficult to keep convexity and normality using KH linear interpolative reasoning method.

12. The feasible innovation sets has no restriction of convexity so that it describe the input-output activities in conditions of various characteristics of marginal returns.

13. The model was transformed to a convexity quadratic programming problem by decomposing index function. Then, the model was resolved using Newton iterative means by importing castigatory gene.

14. Convexity and generalized convexity play a central role in mathematical economics, engineering, management science, and optimization theory.

15. It is evident that curvature of doming whether on the crest (convexity) or on the flanks (concavity) have no major effect on fracture densities.

16. Then proved that it is one kind of convexity between KUC and KSC, and as one concept, KDC is the dual concept of KSS better than KSC is.

17. Cylindrical roller adopt convexity process, so the presses of roller and race surface are proportional spacing, they can bear a large axial load, furthermore axial rigidity is strong.

18. The convexity of the seed capsule is of decisive importance in host selection.

19. So the primafacie plausible assumption that any creature able to perceive convexity would also be aware of connectedness is false.

20. The optimality conditions of saddle points, weakly duality theorem, strong duality theorem and converse duality theorem are obtained under convexity assumptions.

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

22. Most interpolative reasoning methods in multi-dimension cannot guarantee the convexity and normality of result, and cannot consider weights of each variable influencing conclusion.

23. In this paper, we study a generalized class of univalent functions with negative coefficients. Sharp coefficient estimates, distortion theorem and radius of convexity and starlikeness are obtained.

24. Through all the optimality sufficient conditions and duality problems were discussed on basis of generalized convexity.

25. However, many fuzzy mappings are not convex. People start to generalize the convexity of fuzzy mapping in different ways.

26. The things are decided by many factors, and they always appear convexity.

27. A set of inequality constraint conditions of the strength parameters is derived from the convexity of the strength criterion, which is expressed in a quadric form in terms of stress components.

28. In this paper, it is proved that in the uniform convexity linear metric space there exists a unique best simultaneous approximation element.

29. Based on the bond market of China, the interest rate sensitivity measurement for fixed and floating rate bonds are studied in this paper. The approaches used are Duration and Convexity respectively.

30. The paper mainly introduces the calculating equation for piston skirt molded lines, the drawing of piston, and the design for convexity mother plate molded lines.