Then we give a structure theorem of weak LR-good quasi-adequate semigroups by using the tool of dual semidirect product.
并运用双重半直积给出弱LR 好拟适当半群的结构定理。
This paper presents a definition of imitative dual graph of outplane graphs, and proves the structural theorem on outplane graphs by using the nature of imitative dual graph of outplane graphs.
给出了外平面图的拟对偶图的定义，并利用拟对偶图的性质证明了外平面图的结构定理。
Finally, the generalized dual model of the problem (VP) is presented with the help of upper subdifferential of function, and a weak duality theorem is given.
接着，利用函数的上次微分构造了不可微向量优化问题（VP）的广义对偶模型，并且在适当的弱凸性条件下建立了弱对偶定理。
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