极小值

An algorithm based on the square-root unscented Kalman filter is proposed for weight estimation of the neural network, which can overcome the BP algorithm's drawbacks of slow learning speed, high computational complexity and the likeliness to make the study fall into the local minimum points.

提出一种利用平方根无轨迹卡尔曼滤波进行神经网络权值估计的算法，该算法可以克服BP算法存在的学习速率缓慢、计算量大、容易使学习陷入局部极小等缺点以Mackey-Crass混沌时间序列作为神经网络输入，运用SR-UKF算法、UKF算法、BP算法仿真神经网络。

Comparing with the omphacite fabric plots shows that the [001] preferred orientation is parallel to stretching lineation, meaning that the omphacite LPO is the main cause of seismic wave anisotropy.

实测波速的最大和最小值分别为平行线理和垂直面理方向，对比绿辉石的组构图就会发现，[001]极密方向即为线理方向，这说明绿辉石LPO是形成超高压榴辉岩波速各向异性的主要因素。

In the second part, I will examine the issue of whether we should use the maximin rule as the best strategy in Rawls's original position, and whether we should accept the difference principle when we concede the maximin rule is the best rational strategy in the situation of the choice under uncertainty.

第二部分试图检查从罗尔斯在原初境况的设定当中，理性决策上是否应采用最小值极大化规则，以及这样一个不确定抉择环境下的理性抉择策略是否足以推导出差异原则。

In practical engineering, it is difficult to find out the minimal surface meeting the architecture demands and the boundary restrictions, hence, the difference in the stress distribution should be controlled in a special range.

在实际工程中，由于膜结构建筑要求和边界条件的限制，找到具有极小曲面性质的初始平衡形状较难。因此，一般把应力的差值控制在一定的范围内。

A section theorem, a minimax inequality and a generalized fixed point theorem where the underlying space is a product space of two topological vector space s, are given.

给出了两个拓扑向量空间的乘积空间上截口定理，极小极大不等式及一个推广的不动点定理。指出这3个形式不同的结果与Tychonov不动点定理是相互蕴含的。并且用截口定理直接证明了多值映射的一个重合定理

At first, the existence of extended form of approach to continuous selection for any set valued mapping without any continuity restriction in para-compact metric space is proved ;by the topologically separated mappings , the approximate selection theorem of sub-lower-semi-continuous mapping is established, furthermore , continuous selection problem in H-space is studied. Next, with W-correspondence, an improved variational inequality is obtained ; by the H-KKM mapping ,Ky Fan\'s minimax inequality is generalized to H-space . At last, with H-convexity instead of the linear topological structure, a new version of Browder fixed point theorem is established.Chapter 3 deals with set-valued mapping vector variational inequality and minimax problems.

第二章首先在仿紧的度量空间上对任意的集值映射建立了新的逼近连续选择定理，利用映射的拓扑可分性，在H-空间上建立了次下半连续映射的逼近连续选择定理和一个新的连续选择定理；然后利用W-对应，在H-空间上建立了广义的变分不等式；利用H-KKM映射，在H-空间上建立了广义的KyFan极小极大不等式；最后，利用H-凸性代替拓扑线性结构，在H-空间上建立了一个新型的Browder不动点定理。

In Chapter 6, we give a note on the minimax representation for the subspace distance and singular values.

第六章给出了关于子空间距离和奇异值极大极小性质的一个注记。

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？

Thereinto, quadratic interpolation is uesed in undimensional search, and Powell arithmetic is used to solve unconstrained minimziation.

其中，利用二次插值法进行一维搜索，选用Powell算法进行无约束极小化求解。

Under a resonance condition,a unique existence of generalized solution to the Direchlet boundary value problem of the semi-linear elliptic partial differential equations is given,and this extended partially the results that was known.

利用极小极大原理，在共振条件下，证明了一个半线性椭圆偏微分方程Direchlet边值问题广义解的存在唯一性定理，从而推广了已知的一些结果。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。