任意小

In allusion to Funar Conjecture :"If a random triangle lies in a closed unit square,then its inscribed circle s radius,r≤(5-1)/4",an equivalent minimum problem about a function of 2-variables is studied;the stagnation point and its value,value on the boundary of the function of 2-variables are studied,the equivalent problem is proved correct,so the Funar Conjecture is proved correct.

针对Funar猜想："设任意三角形位于闭单位正方形内，则该三角形的内切圆半径，r≤(5-1)/4"，研究了与其等价的某二元函数的最小值问题；利用对此二元函数驻点及其取值、边界取值讨论，证明了等价问题成立，进而此Funar猜想得证。

Based on the small steepness parameter, three-layer incompressible, inviscid and irrotational fluid system of arbitrary depth is discussed by using the perturbation method, and a unified theory of nonlinear interfacial-internal wave propagation and the approximate nonlinear evolution equations for interfacial-internal elevations are given on the basis of the rigid upper boundary and the flat impermeable bottom.

基于波陡很小的假设下，利用摄动法，讨论了任意深度的二维不可压缩、无黏性、无旋的三层流体系统，在刚性上边界、平底不可渗透条件下，给出了界面内波传播的统一理论以及描述界面内波波剖面的近似非线性演化方程，最后还讨论了几种特殊情形下的近似非线性演化方程。

Based on the explicit formulation of matrices on the given linear manifold, the general expression of the solutions to this least squares problem is obtained by using the method of the singular value decomposition and the unitarily invariant of the Frobenius norm.

在推导出所给线性流形中任意矩阵的显式表达的基础上，利用奇异值分解和Frobenius范数的酉不变性得到了该最小二乘问题通解的一般表达式。

Little Lotte let her mind wander ...

"小拉蒂使她的心智任意游走。。。"

Such as the magnetic track is divided into a number of concentric circles, concentric circles in each of the tracks on It seems there have been numerous arbitrary array of small magnets, they were 0 and 1 representing the state.

这些磁粉被划分成称为磁道的若干个同心圆，在每个同心圆的磁道上就好像有无数的任意排列的小磁铁，它们分别代表着0和1的状态。

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。

For the purpose of solving the shortest path problem between any two nodes on urban traffic networks, We present a mixed connected graph representing the urban transportation networks, and choice set of main line is proposed in our disertation, according to urban road layout and rule of vehicle rout, we supposed a multi-phase labeling algothrim base on classical Dijskra labeling algorithm, a list of examples for all possible relation between two nodes are provided, all the examples is calculated by the proposed computer program, which indicates that this algorithm is feasible and effective.

为了研究城市路网上任意两顶点间的最短路问题，结合城市交通特点提出了最小干线选择集的概念，在著名的Dijkstra算法基础上，根据城市路网布局和配送车辆行车规则，给出一种多阶段定向搜索标号算法。

The sufficient conditions to guarantee robust exponential stability for the closed-loop systems are obtained based on Linear Matrix Inequality, moreover, the approach of design of robust H# output feedback controller is introduced.3 The problem of reliable H# control for a class of Lur"e systems with polytopic uncertainties is studied when all control components are operational as well as when some control components experience failures, the design approach of reliable H# controller is also obtained.4 Considering a class of uncertain Lur"e singular system with time-delays, the problem of robust stability is investigated based on Barbalats Lemma and nonsingular linear transformation of model reduction.

针对一类不确定Lur'e奇异时滞系统，基于Barbalat引理以及非奇异降阶变换，讨论了Lur'e奇异时滞系统的鲁棒稳定问题，提出了鲁棒H_∞状态浙江大学博士学位论文反馈控制器的设计方法。5、针对一类具有饱和执行器的不确定Lur'e奇异系统，提出了时滞依赖的鲁棒稳定与鲁棒二次镇定的充分条件，所的结果不需要参数的整定。6、针对任意协方差有界的有色噪声，讨论了一类不确定Lur'e奇异系统的鲁棒凡滤波问题，得出了鲁棒几滤波器设计的充分条件。7、针对一类不确定Lur'e时滞系统，通过线性变换，把它转换成奇异系统，根据奇异系统鲁棒控制理论所得出的鲁棒稳定与鲁棒镇定控制器设计的充分条件具有很小的保守性。

The Winklhofer method is an exact method.But Winklhofer method cannot calculate centerdistance of a roller chain drive whose length of chain is an odd number of chain pitches.Involute function method is anapproximative method.

W ink lhofer方法是准确的计算方法，但只能用于链条总长是链节的偶数倍时的链传动，而渐开线法是近似法，不能精确地计算链传动中心距；而二分法是一种数值法，它可精确地计算链传动中心距，并且适用于链条总长是任意值的链传动，可计算出链传动中心距最大值和最小值。

But what if arbitrarily divided regions of a rectangle are labeled with unique ordinal numbers?

但是，若将二维矩形平面任意分割成很多小的矩形区域，并以唯一的序号标记它们，情况会怎样呢？

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