查询词典 minimax theorem

Delay differential equations; variational structure; Minimax theory; Morse theory; multiple periodic solutions; subharmonic solutions; Z_p geometrical index

基础科学，数学，数学分析时滞微分方程；变分结构；极小极大理论； Morse理论；多重周期解；次调和解；广义Z_p几何指标

Under some conditions we obtain the existence of nontrivial solution by analyzing the best Sobolev embedding constant and by use of the minimax theorems without conditions.

通过使用没有条件的极小极大定理，以及对最佳Sobolev嵌入常数的详细分析，得到了一些具临界Sobolev指数的半线性椭圆系统的真正非平凡解的存在性，并讨论了解的一些性质。

So, much of the classical approach to AI consists of things like minimax trees, preprogrammed databases, and prewritten code.

因此，许多古典方法认为人工智能应该由类似极大极小树，预编程数据库和预编代码组成。

The first part consists of Chapter Two, which concerns the research on linear minimax estimator of regression coefficients for a growth curve model.

论文首先在第一章综述了Minimax估计理论的研究情况，余下的内容分为三部分：第一部分由第二章组成，是关于增长曲线模型回归系数的线性Minimax估计问题的研究。

Quasi Hamiltonian system; nonlinear stochastic optimal control; robustness; robust control; parametric uncertainty; uncertain disturbance; Bouc-Wen hysteretic system; Preisach hysteretic system; minimax optimal control; stochastic stabilization; stochastic averaging method; stochastic dynamical programming principle; stochastic differential game; maximal Lyapunov exponent

国家自然科学基金；拟Hamilton系统；非线性随机最优控制；鲁棒性；鲁棒控制；参数不确定性；不确定扰动； Bouc-Wen滞迟系统； Preisach滞迟系统；极小极大最优控制；随机稳定化；随机平均法；随机动态规划原理；随机微分对策；最大Lyapunov指数

The result shows that the transformation from linear system of strict inequalities to minimax problem avoids the shortage of getting a boundary point solution and is satisfying.

最后在Matlab环境下给出了数值实验，实验结果表明，将严格线性不等式组问题转化为Minimax问题来求解，避免了得到边界点解的情形，得到的结果比较令人满意

We transforms the special linear system of strict inequalities into three kinds of minimax problems, and then solves it with the aggregate function method assisted with some corresponding method. At last the numerical experiment is done under the environment of matlab.

我们将其转化为三种形式的Minimax问题，对转化后的三种Minimax问题，用凝聚函数法分别将其目标函数光滑化，并分别用带Armijo不精确线搜索的最速下降法、带自适应参数修正的凝聚函数法以及既约梯度法来求解。

With the improvements to the initial population and disposal of objective function, we choose DE as the searching method in EAFSC to investigate it performance in classic unrestraint optimization, Minimax Optimization and nonlinear equations.

其次结合对初始种群和目标函数的处理，以DE为例分别探讨EAFSC在典型的无约束优化、Minimax优化和约束优化问题、非线性方程及方程组求根中的应用。

It is concerned with the optimal design of cylindrical shell on minimax deflection and minimal compliancy with arbitrary axisymmetrical boundary conditions and radial pressure, under the condition of the volume being constant.

研究在任意轴对称边界条件下和任意轴对称分布载荷作用下体积保持常数的圆柱壳的两类优化设计问题：极小化圆柱壳的最大挠度和极小化圆柱壳的柔度。

The generalized criterion for minimum zone in the determination of form error of surface is presented on the basis of linear minimax techniques, and the criteria of such surfaces as for cylindricity and straightness with arbitrary direction are derived from this generalized criterion.

本文讨论形状误差最小区城的判别准则和判别方法。根据线性极差极小化问题解的特征，给出形状误差最小条件的统一判别准则。推导出各种形状误差最小区域判别法(包括圆柱度误差和任意方向直线度误差)，并在几何判别的基础上得出代数判别的格式。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。