Then relative interior is introduced and an alternative theorem of generalized convex set-valued maps is established by using the separation theorem.
引进了相对内部，应用凸集分离定理建立了一个广义凸集值映射的择一性定理。
Using the alternative theorem, the optimality conditions of vector extremum problems with generalized constraint are established in ordered linear space.
在序线性空间中，利用次似凸映射的择一性定理，得出具有一般约束的向量极值问题的最优性条件。
By the alternative theorem, the optimality conditions of vector extremum problems with generalized inequality constraint are established in linear space.
运用此定理，在线性空间中建立了带广义不等式约束的向量极值问题的最优性条件。
Methods Using the properties of saddle point and alternative theorem, the sufficient and necessary conditions of a super efficient point being a generalized saddle point are obtained.
方法通过广义鞍点的性质并结合择一定理，得到有关充分条件和必要条件。
By using nonlinear alternative fixed_point theorem, a existence principle of positive solutions to this problem are established.
进行了研究，利用非线性二择一不动点定理建立了问题正解的一个存在性原则。
Then, a theorem of the alternative for generalized subconvexlike set valued maps in real linear spaces is established.
然后，在实线性空间中建立了一个广义次似凸集值映射的择一性定理。
There are a number of alternative formulations of the reciprocity theorem.
还有许多别的互易定理的公式。
We obtain a convergence theorem of alternative series differing from Leibniz test by discussing and analyzing the convergence of a kind of alternative series, and generalize the using limits of J.
讨论和分析了一类交错级数的收敛问题，给出了异于莱布尼兹判别法的关于交错级数的一个收敛定理。
Freudenstein 's theorem is an important theorem for a plane four-bar linkage's characteristic. Two alternative proofs of the theorem are presented.
弗罗丹·斯顿定理是平面四杆机构特性中一个重要的定理，介绍了该定理两种不同的证明方法。
Freudenstein 's theorem is an important theorem for a plane four-bar linkage's characteristic. Two alternative proofs of the theorem are presented.
弗罗丹·斯顿定理是平面四杆机构特性中一个重要的定理，介绍了该定理两种不同的证明方法。
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