极小性

The method is based on the first-order optimalitycinditions for a local minimizer of the augmented Lagrangian,with different form,being transformed into another nonliner system.

该方法是以增广Lagrangian函数局部极小点的一阶最优性条件为基础，通过不同的形式，将其转化为另外一个非线性系统。

Due to the fact that the method based on local linearization is usually lost in local minimum values and the optimization solution is dependent on the selection of initial solution,the standard genetic algorithm has po...

该算法利用拟网格法初始种群和综合交叉策略，克服了早熟收敛现象，从而提高了遗传寻优的效率。理论模型反演与其它方法比较，结果说明遗传算法具有不依赖初始模型，不容易陷入局部极小，多点多路径概率搜索，以及隐含并行性等优点。

In this paper, we study the existence of sign-changing and multiple nontrivial solutions for a kind of quasilinear elliptic equations with Dirichlet boundary value by applying minimax methods and Morse theory.

本文我们将应用极大极小方法和Morse理论研究一类拟线性椭圆方程Dirichlet边值问题多解的存在性和解的变号性质。设Ω是R~N(N≥1)中的有界区域，具有光滑边界？

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。

And the expression of its subdifferential is developed in the case that the effective domain of the optimal value function is a non-empty convex set.

最后利用方向导数和次微分导出了广义半无限极大极小规划的一个一阶最优性条件及其等价形式。

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

We established abstract functional spaces, proved that the plastic deformation power rate functional is strict convex and the friction power rate functional and the tensional stress power rate functional are convex. So, strict convexity of the total power rate functional 〓 can be obtained. Further, By nonlinear analysis theory, we proved the existence and uniqueness of minimal point of functional 〓.

本文首先建立了抽象的泛函空间，证明了塑性变形功率泛函是严格凸泛函，摩擦功率泛函和外力功率泛函是凸泛函，从而得到总能耗率泛函的严格凸性，进一步地，利用非线性分析的理论，得到总能耗率泛函有唯一的极小值点。

A minimal unsatisfiable subformula can provide a succinct explanation of infeasibility of formulae in satisfiability modulo theories, and could be used in automatic tools to rapidly locate the errors.

极小不可满足子式能够为可满足性模理论公式的不可满足的原因提供精确的解释，帮助自动化工具迅速定位错误。

By the introduction of the theory of sampling constant presented by Ingamells and Switzer, the stratified sampling for segregated bulk materials were studied.

将Ingamells-Switzer取样常数理论引入分层性固体物质的取样研究，提出了分层取样的最优化设计方案，推导出了各层取样量及分层取样方差极小值计算公式。

By applying existence theorems of maximal elements for a family of GB-majorized mappings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex spaces.

通过应用G-凸空间的乘积空间内一族GB-优化映象的极大元的存在定理，在G-凸空间的非紧设置下证明了某些重合点定理，Fan-Browder型不动点定理和极小极大不等式组的解的存在性定理。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐