应用函数

If the method is applied to a convex quadratic function, conjugate directions are chosen with the goal of accelerating convergence.

直接目标是保证该方法应用于凸二次函数，选择共厄方向来加速收敛。

The user's utility is a function of his data throughput, thus the bandwidth resource utilization problem is modeled as a utility based constrained maximization problem, called a system problem.

通过设置站点吞吐量的对数效用函数，将带宽资源的有效利用问题建模为系统效用最大化问题；应用最优化理论将此系统问题等效为可分布式求解的用户问题，即各站点只须独立选择最大化其净效用的竞争参数，则系统整体效用也获得最大化。

Using level-set method, mathematical representation for contimuum structures is proposed by means of the vector of level-set, and the general structure topology optimization can be expressed by a constrained functional minimization problem of a set of level set functions.

其次利用水平集方法将一般拓扑优化问题描述为一组水平集函数的约束泛函极小化问题，应用敏度分析，给出了此泛函极小化数值迭代求解公式，即水平集演化方程。

In addition, we introduce the application of this algorithm in function optimization, constrained optimization and parameter optimization.

并介绍了这种新算法在函数优化、约束优化和参数优化问题中的具体应用。

This paper gives another proof for Jordan inequality by uniform continuity and monotonicity of the function, which enriches the results obtained before.

该文利用函数的一致连续性及单调性，给出Jordan不等式的又一证明，丰富了已有的一些结果，同时给出它的应用。

In these algorithms, because of no requirements on the continuity and differentiability of the objective function, they have strong adaptability for the uncertain data and the traits of agility, strong intuitiveness and randomness; they have been put into applications broadly in a short time so as to become active approaches for solving optimization problems.

由于这些方法不要求目标函数连续可微、对计算数据的不确定性有很强的适应能力，且具有灵活性好、直观性和随机性强等特点，因此在很短的时间内就得到了广泛应用，成为解决优化问题的一种有力工具，并展示出方兴未艾的强劲发展势头。

Secondly, based on the Mawhin's continuity theorem in coincidence degree theory and the Brousk's theorem, some novel criteron of the existence on periodic solutions are obtained under the more generalized assumptions than before.

主要工作是：第一，应用构造Liapunov函数以及Lasalle不变性原理，给出了解的有界性与收敛性的一些新的充分条件和充分必要条件，这些结果包含或扩展了已有文献关于同样问题的一些重要结果。

We study the relations among MS, QMDS, RBVS, AMDS, GBVS and NBVS. Finally. we improve some classic results in Fourier analysis such as uniform convergence, L~1 convergence, L~p-integrability, strong approximation of continuous functions et al., by applying this new condition.

我们研究了MS，QMDS，RBVS，AMDS，GBVS和NBVS等不同数列之间的关系，在此基础上，我们给出了NBV条件在研究三角级数的一致收敛性、L~1收敛性、L~p可积性、连续函数的强逼近等Fourier分析经典问题上的应用，对一些经典的结论作了推广。

The application of multiple models predictive function control in continuous fermentation processes and drying fluid-bed is studied.

研究了多模型预测函数控制在连续生化过程和流化床热风温度控制中的应用。

Based on the new penal function, OC algorithm are deduced and used for the topology optimization problem of continuum structure.

基于新的惩罚函数，推导并应用了适用于大型结构、多设计变量的准则法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。