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Equilibrium; continuous selection; the fixed point theorem; variational inequality; minimax theorem; H-space

基础科学,数学,数学分析均衡;连续选择;不动点定理;变分不等式;极小极大定理; H-空间

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。

Thus cubic particle model can predict the minimum current density of a certain ER fluids needed to obtain a shear yield stress.

这样可使用立方体颗粒模型来计算某一电流变液剪切屈服应力所对应的最小电流密度。

In this paper, the minimum excess principle and its method are used in dynamic analysis of variable section beam .

本文应用最小余能原理的理论和方法确定变截面杆的固有频率。

A three kinds variables potential energy functional, which is equal to the functional of minimum potential energy principle, is proposed.

本文给出了与最小势能原理的泛函等价的三类变量的能量泛函_3,其中应力应变关系是变分过程中的约束条件。

The method optimizes the features according to the class separable criterion of margin of within-class and among-class distance and selects the optimized feature vector combination based on four kinds of features,such as gray histogram feature,wavelet transform feature,gray level co-occurrence matrix feature and moment invariants feature,with 26 dimension feature vectors in all.

针对冷轧板带材常见表面缺陷图像识别的特点,提出了板带材表面缺陷多特征优化组合方法,该方法以直方图统计特征、小波变换特征、灰度共生矩阵特征、不变矩特征等4类特征共26维特征向量为基础,依据类间类内距离差的类别可分离性判据对特征进行优化,选出最优特征向量组合。

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?

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

Recalls these fragments carefully, those who most make me to be greatly touched is she pities the heart, she is very good, remembered that the movie is puts like this: A mousie is closed in the basket, is afraid, she had known changed walks immediately goes downstairs has put it, gave back to put on clothes.

仔细回想那些片段,最令我深受感动的是她的怜悯之心,她很善良,记得影片是这样放的:一个小老鼠被关在笼子里,非常害怕,她知道了变立刻走下楼把它放了出来,还给它穿了一件衣服。

Most often you have security problems, which narrows the range of possible issues tremendously.

经常会是安全问题,这也许能使查找的范围变得小些。

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从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

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