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31. Further, an implicit iterative algorithm for the design variables is also established based on SIMP interpolation scheme and optimality criteria method.

32. The optimality conditions for multiobjective semi - infinite programming with semilocally convex functions are given.

33. Optimality conditions for vector optimization problem to attain strictly efficient solutions are considered in the paper.

34. Under the conditions of Partial ic-convex like Maps, optimality necessary conditions of weak efficient solutions for vector optimization problems with equality and inequality constraints are obtained.

35. By the alternative theorem, the optimality conditions of vector extremum problems with generalized inequality constraint are established in linear space.http://sentencedict.com

36. On the basis of Pareto efficiency, the shadow price is defined as the marginal value of resources and goods in the state of Pareto optimality.

37. As an extension, the branch-and-bound algorithm put forward in this paper can solve this kind of general project scheduling problems with optimality .

38. In this paper we prove uniqueness and existence of the optimal fission cross section, and give the optimality condition.

39. Under the given condition, we have proved the existence and uniqueness of the minimum norm scattering fission cross section control element , and have given its corresponding optimality conditions.

40. The theoretic fundamentals for the commonly used biplane truncation algorithm is expounded, and its sub- optimality is pointed out.

41. The necessary conditions for optimality were derived calculus of variations.