最小值

The optimized weight is arrived by weighted the minimum variance distortionless response weights of these samples with their post probabilities. In addition, the samples with little post probabilities will be resampled and it improves the robustness of beamforming effectively.

在该算法中期望信号的波达方向被看成一个由若干样点组成的随机变量，利用后验概率对这些样点的最小畸变响应波束成形权值进行加权来取得优化的权值，并对小概率样点进行重采样，有效地提高了波束成形系统的鲁棒性。

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 =

This dissertation focuses on the spherical wavelet expansion of the earth gravity field and its application. Based on the concept of the integration approaches and radial basis functions the spherical wavelet is put forward, with that the earth gravity field is described in a new way, and some other researches are conducted, they are: spherical wavelet regularization, multiscale approximation of satellite gravity measurement, down continuation of airborne geavimetry data, the least squares properties of geopotential wavelet approximation, the spherical wavelet solution of two kinds of BVP and spherical selective multiscale reconstruction.

本文围绕地球重力场的球面小波展开及其应用进行研究，在积分逼近与径向基函数概念的基础上引入了球面小波，利用球面小波对重力场展开进行了重新表示，在此基础上进行了球面小波正则化、卫星重力多尺度逼近、航空重力数据向下延拓、重力场球面小波逼近的最小范数性质、两类边值问题的球面小波实用解、球面选择多尺度去噪方法等方面的研究。

This book reviews the many areas of numerical analysis, including the configuration polynomial, finite difference, factorial polynomials, summation, Newton formula, operator and configuration polynomial, Cheung section, close polynomials, TaylM more item type, interpolation, numerical differentiation, numerical integration, and with the series, differential equations, differential equations, least squares polynomial approximation, minimax polynomial approximation, rational function approximation, triangular approximation, non-linear algebra, linear equations, linear programming, boundary value problems, MonteCarIo methods and so on.

本书综述了数值分析领域的诸多内容，包括配置多项式、有限差分、阶乘多项式、求和法、Newton公式、算子与配置多项式、祥条、密切多项式、TaylM多项式、插值、数值微分、数值积分、和与级数、差分方程、微分方程、最小二乘多项式逼近、极小化极大多项式逼近、有理函数逼近、三角逼近、非线性代数、线性方程组、线性规划、边值问题、MonteCarIo方法等内容。本书的特色主要表现在利用例题及大量详细的题解来透彻地阐明所述内容的内涵，同时附有大量的补充题以便读者进一步巩固和深化从书中获得的数值分析知识。

In general, you supply a minimum and maximum number of parameters for a macro of this type; the minimum number of parameters are then required in the macro call, and then you provide defaults for the optional ones.

一般情况下，你为这类宏提供最小和最大参数个数；宏调用时，最小参数个数是必需的，然后可以提供可选的缺省值。

The performance of the proposed method is compared with that of the well-known vector standard filters such as the VMF, progressive switch median filter, scalar median filter ,minimum distance between central sample and scalar median in its neighborhood vector median filter and the basic vector directional filter.

结果表明，DMNVM滤波性能明显优于现有的VMF、递进开关中值滤波、标量中值滤波、与标量中值距离最小向量滤波和方向矢量中值滤波；同近年提出的自适应向量滤波比较，AVMF客观指标平均绝对误差协MAE、均方误差和标准色差分别是DMNVM的1.81、2.59和2.17倍，这说明DMNVM的滤波性能有显著提高。

This new algorithm can derive a rheological parameter estimation that shows superior statistic features of fitting residual error unbiasedness and least variance.

该算法不需要人工给定迭代初始值，迭代过程稳定收敛到最小点，不会陷入极小点陷阱，收敛速度很快，所得到的流变参数估计具有拟合残差无偏性和方差最小的优良统计特征。

Dynamic reliability under Littlewood-Paley wavelet is the biggest, dynamic reliability under modified meyerwavelet and harmonic wavelet are close. Analyzing the dynamic reliability of structure under odd exponent wavelet is very simple, it doesn't calculate Power Spectral Density function integral, it is only to calculate the square of displacement standard deviation and the square of velocity, then the dynamic reliability of structure can be concluded by max distribution. In addition the effects of upper limit is considered, when upper limit is smaller, the dynamic reliability of structure is less, that is, the damage possibility is bigger.

通过结构地震反应在小波基下的动力可靠性分析说明：无论是单自由度还是多自由度从理论上推导在这四种小波下的结构动力可靠性是可行的，而且考虑的结构地震反应都是非平稳的高斯过程，方法实现也比较容易；在Littlewood—Paley小波基下求得的结构的动力可靠度比较大，由改造的meyer小波和谐波小波求得的动力可靠度略有差异；单边指数小波下的结构动力可靠性分析非常简单，不用求功率谱函数来积分，只需求得结构地震反应的位移方差，速度方差，利用最大值分布公式就可得到结构的动力可靠时程；另外也考虑了超越界限对结构动力可靠度的影响，超越界限越小，结构的动力可靠度越小，即破坏概率越大。

Dynamic reliability under Littlewood-Paley wavelet is the biggest, dynamic reliability under modified meyerwavelet and harmonic wavelet are close. Analyzing the dynamic reliability of structure under odd exponent wavelet is very simple, it doesnt calculate Power Spectral Density function integral, it is only to calculate the square of displacement standard deviation and the square of velocity, then the dynamic reliability of structure can be concluded by max distribution. In addition the effects of upper limit is considered, when upper limit is smaller, the dynamic reliability of structure is less, that is, the damage possibility is bigger.

通过结构地震反应在小波基下的动力可靠性分析说明：无论是单自由度还是多自由度从理论上推导在这四种小波下的结构动力可靠性是可行的，而且考虑的结构地震反应都是非平稳的高斯过程，方法实现也比较容易；在Littlewood—Paley小波基下求得的结构的动力可靠度比较大，由改造的meyer小波和谐波小波求得的动力可靠度略有差异；单边指数小波下的结构动力可靠性分析非常简单，不用求功率谱函数来积分，只需求得结构地震反应的位移方差，速度方差，利用最大值分布公式就可得到结构的动力可靠时程；另外也考虑了超越界限对结构动力可靠度的影响，超越界限越小，结构的动力可靠度越小，即破坏概率越大。

The order spatial variation of soil surface compaction was in the land reclaimed five years(68.40%), next was unsubsided land(52.58%) and the lowest was the land being reclaimed(22.01%); in terms of the variation, the soil compaction is higher and the variation is lower to each soil layer of being reclaimed land, and the compaction of the first three layer is lower but the variation is higher to other redamed land, to the fourth layer(22.86～30.48 cm) is higher and variation is lower, and the compaction under the forth layer is nearly stable.

表层土壤压实度空间变异最大的是复垦5 a的土地（变异系数为68.40%），其次是未塌陷土地（52.58%），最小的是正在复垦的土地（22.01%）。从各层的变异情况看，正在复垦的土地各个层次土壤压实度都较大且变异系数较低，其他复垦年限土壤压实度上面3层较小但变异大，至第4层（22.86～30.48 cm）达到较高值，且变异较小，之下压实度基本稳定。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。