It is well known that uniformly locally convex point ( urp , for short ) is precise and point wise property of uniformly local convex 一致凸点是局部一致凸性的精细化，点态化。
Quasiconvex functions and various generalized convexity of functions play important roles in mathematical programming 拟凸函数及函数的各种广义凸性，在数学规划中起着重要作用。
A solution that minimizes the model function within the trust region is solved as a trial step 信赖域方法并不要求目标函数的二次模型凸性，在信赖域内求得迭代步使得二次模型最小。
Block relaxation algorithms in statistics . information systems and data analysis , bock h h , lenski w , richter m m eds . , 为快速求解这一优化问题，本文给出了一种基于凸性边界条件判别的块松弛迭代算法。
We introduced some new concepts while we were discussing all convexity and smoothness , and we proved some equal propositions 在各种凸性和光滑性的讨论过程中，引入了一些新的概念，并证明了一些等价命题。
Under the assuption of - generalized convexity , relative interior is introduced , and a farkas - minkowski type alternative theorem is proved 在-广义锥凸性假设下，引进相对内部，证明了farkas - minkowski型的择一性定理。
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 然后证明了它是介于kuc和ksc之间的一种凸性。进而说明了kdc作为kss的对偶性质比ksc更为恰当。
Non - convexity is in general the main feature of the difficulties for solving these models for wastewater treatment network optimization 它们是具有非凸性的复杂非线性数学规划问题，用现有的方法进行求解不能保证得到全局最优解。
Chapter 3 monotone points in musielak - orlicz sequence spaces : the role of monotonicity in banach much like the rotundity in banach spaces 第三章musielak - orlicz序列空间的单调点：单调性在banach格中的地位十分相象于凸性在banach空间中的地位
In chapter 3 , we set some new conceptions of g - derivative , and make a research on the relations among these new derivatives and the convexity of an operator 第三章提出了一些新的g -可微概念，并研究了算子的凸性与这些新的可微性之间的关系。
