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Under some assumption conditions, we also developed trust region and affine scaling algorithm and potential reduction algorithm for convex programming problem with linear constraints.

然后在一定的假设条件下，对线性约束下的凸规划问题我们给出了相应的信赖域仿射尺度算法和势函数下降算法。

A parametric optimization method for tracking optimal solution's trajectory of linearly constrained convex separable programming was presented.

提出一种追踪线性约束下凸可分规划问题最优解轨迹的参数化方法。

And further more it gives a proof that this optimization problem can be seen as a convex programming in exponential neural manifold.

即将神经网络看作为统计模型，使用常用的统计推断技术，通过优化学习代价函数，对网络参数进行调整，从而达到学习的目的。

The second algorithm is that polygonal concave points and newly created concave points are continuously removed, and a vertex sequence of the convex hull is finally obtained.

第二个算法不断删去多边形的凹点及新产生的凹点，最后得到凸壳顶点序列。

In this paper, we consider the optimal control problem of time-delayed forward-backward stochastic system when control set is convex.

本文研究了在控制集为凸集的情况下带时滞的正倒向随机控制系统的最优控制问题。

In this paper,the definition of the fuzzy stable set of convex compound fuzzy game is given.

本文建立了凸合成模糊对策的模型，并得到了凸合成模糊对策的模糊稳定集，可由子对策的模糊稳定集表达出来。

For a class of discrete systems, the problem of MPC with terminal constraint convex set is investigated.

针对一类离散系统，研究了带有终端约束凸集的MPC控制问题。

Since 1976, homotopy method has been used to solve fixed point problem in convex set.

长期以来，人们一直利用同伦方法来计算凸集上的Brouwer不动点问题。

The necessarity of using convex set theory in dealing with uncertainty in earthquake engineering is pointed out.

阐述了在地震工程中应用凸集理论处理不确定问题的必要性。

The main contents of this research are as follows:Firstly, the limitation of probabilistic theory and the advantage of using the convex set theory under certain condition are discussed.

主要研究内容如下：首先，本文对概率模型的局限性和在一定的条件下，采用凸集模型处理不确定问题的优越性进行了论述。

As of Tuesday, Google's results were still censored in China.

截至周二，谷歌的搜索结果仍受中国审查。

In order to make the positive action increase and negative one decrease, the sub-forces of the social factors must be adjusted to form a centripetal force.

在这一过程中，人的主体性发挥是社会有机体健康发展的灵魂。