近似度

And the formulae for estimatingthe edge-toughness of Cartesian product and Kronecker product of some special graphs are presented.

证明了一类r-正则r=κ′连通非完全图G的边坚韧度近似等于r/21+(1/│V│-1并且提供了估计一些特殊图类的笛卡儿积和Kronecker积的边坚韧度的公式。

According to the definition of the minimum zone method, the mathematical model is presented for evaluating flatness error and establishing datum plane equation.

分析了常用的近似评定法(三点法、对角线法、最小二乘法等)存在的局限性，根据最小区域法的定义，给出了基准平面方程及平面度误差评定目标函数数学模型的建立方法，并举例说明了采用Matlab进行平面度误差的计算。

The experiments revealed that sodium humate has little effect on the relation between the slurry neutralizing value and the pH value, and the relation between Z and pH value is almost a straight line.

实验得出添加腐殖酸钠对料浆中和度与其PH 值之间关系的影响很小，料浆中和度Z 与PH 值之间近似直线关系，用最小二乘法进行线性拟合，可得关系式： Z =

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The question of searching characteristic points or straight lines on moving rigid body is decomposed into two relatively independent sub-questions. The first one is to evaluate the characteristic of points and straight lines on moving rigid body, whose mathematics model is a kind of special non-differential max-mini optimal problem with inequality constraints. By the method of Saddle-point Programming and maximum entropy, the problem can be transformed as a differential optimal problem with single objective. The second oner is to search approximative character points or straight lines on moving rigid body within design space, whose mathematic model is nonlinear and non-differential problem with multiple constraints.

本文将在运动刚体上寻找特征点或直线的优化问题分解为两个相对独立的子问题，一是对运动刚体上点或直线的特征性评定，其实质是平面曲线的圆度或直线度的评定问题，优化模型是以最大误差为最小作为优化目标的约束不可微的优化问题，本文采用鞍点规划和极大熵方法，将其转化为单目标可微优化模型；二是在设计空间内，寻找运动刚体上特征性评定指标最小的近似特征点或直线，其优化模型是非线性、多约束的不可微优化问题，本文提出用遗传算法和BFGS局部搜索法相结合来求解。

The main contributions include:(1) Energy conservation law of Haar wavelets transform is proved to compress data streams.(2) The relation between the coincidence measure and trend of streams is revealed as along with the invariability under parallel shift and the equivalence law over coincidence measure to approximately express data-streams by the wavelet coefficient of the characteristic stream and its energy.(3) Multi-Scales energy decomposition model is proposed to improve the compression precision.(4) The multi-scales compression algorithm and the energy conservation reconstruction algorithm are designed.(5) Extended experiments show that the compression ratio of the new methods is 2~4 times as the traditional method.

主要研究成果包括：(1)证明了Haar小波变换服从能量守恒规律，并用于压缩数据流；(2)揭示了数据流的偶合度与变化趋势的相关性、偶合度的平移不变性及等价规律，采用特征流序列的小波系数和流能量近似表示流的趋势，达到压缩的目的；(3)提出了多尺度能量分解模型，提高了表示精度；(4)设计了多尺度能量分解压缩算法以及多尺度重构算法；(5)在真实数据集上的实验表明，新方法的压缩比是传统小波方法的2～4倍。

Finally, according to the characters that the inner and outer edge of double-layer eyelid are approximate parallel and the gray distribution changes sharply on the edge of inner eyelid, take the fitting curve acquired in first eyelid location as a template, and shift it down parallel to detect the position where gray value changes abruptly.

最后，根据双层眼睑的内外层边缘近似平行、而且在内层眼睑边缘处出现灰度跳变这一特点，以第一次定位所得拟合曲线为模版，平行下移搜索灰度跳变位置，完成对双层眼睑的二次定位。

The experiment and the analysis show that our algorithm not only can find good approximate partitioning of undirected graph,moreover can reduce the time complexity and the space complexity effectively.

实验及分析表明该算法不仅能找到无向图的近似最优剖分，而且有效地降低了空间复杂度和时间复杂度。

A Novel Method for Intrinsic Viscosity Determination of Polymer SolutionThere are many methods for molecular weight determination of polymers, among which viscometry is used most, it has been broad applied both in production and scientific research. This method is easy to operate with simple instruments and is applicable for broad-range molecular weight, additionally, it has high precision.

在许多情况下，常需要对同种类聚合物的特性粘度进行大量重复测定，如果都按此法操作，每个样品至少要测定3个以上不同浓度溶液的相对粘度，这是非常繁琐的，而且需时较长，尤其在所得样品量极少的情况下，就难以用此法求得高聚物溶液的，为此，人们找到了更快速的近似方法，即"一点法"。

Based on the extended Huygens-Fresnel principle and the quadratic approximation of phase structure function, we have derived the analyticl expression of the spatial degree of coherence for partially coherent flattened beams propagating through the slant turbulent atmosphere with the help of tensor integral, then analyzed the effects of different zenith angle, propagation distance, coherence of source and outer scale of turbulence on the spatial degree of coherence on the receiver.

基于广义惠更斯-菲涅耳原理和相位结构函数的平方近似，运用张量积分的方法导出了部分相干平顶光束通过斜程湍流大气传输后接收面光束空间相干度的解析表达式，分析了不同天顶角、传输距离、光源相干性以及湍流外尺度对接收面光束空间相干度的影响。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。