紧致集是拓扑空间的一类重要子集，亦称紧致集。称A为紧集，若A的任意开覆盖包含A的有限开覆盖。有限维赋范线性空间中的有界闭集是紧集。
本文主要研究了非紧致集上的极大值函数和带不等式约束的广义半无限规划。
This dissertation is devoted to the study of sup-type function on non-compact set and the first-order optimality conditions for generalized semi-infinite programming with inequality constraints.
关于算法分析的定理证明了这种混合算法对于紧致集内的权向量构成的任意连续函数能依概率1收敛于全局极小值。
It is shown that this algorithm ensures convergence to a global minimum with probability 1in a compact region of a weight vector space.
提出了线性t - S模糊系统以任意精度一致逼近紧致集上任意连续实函数的一个充分条件，并给出了数值示例。
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.
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