广义导数

In the third chapter, we study the approximation and weighted approximation for a kind of generalized Baskakov operators of two-variable. Using different weight functions, we discuss the convergence on weighted space of polynomials and rate of convergence with Jacobi weight for this kind of two-dimensional product-type operators, which extends the results of one-dimensional operators.

第三章研究一类二元广义Baskakov算子的逼近及其加权逼近，主要针对于不同的权函数讨论了这类乘积型的二元算子及其导数在多项式权空间上的收敛性和加Jacobi权的收敛阶，把一元的结果推广到多元的情形。

To improve the segmentation effection and efficiency, we fulfill the following work:There is an obvious difference between General Fuzzy Operator and other edge detection which based on edge magnitude.

本文在提高图像分割质量和效率方面做了以下几个方面的工作：基于广义模糊算子法的图像边缘检测与其它基于边缘强度依靠导数的边缘检测法明显不同，具有计算量小，检测到的边缘精度高等特点，但是GFO算法中的关键参数需经验、人为确定，影响了该方法的检测效果，限制了其在实际中的推广应用。

Nonholonomic constraint is the constraint that contains time derivatives of the generalized coordinates of the system and is not integrable.

非完整约束是指含有系统广义坐标导数且不可积的约束。

Since the nonholonomic constraint constrains the time derivatives of the generalized coordinates of the system and does not reduce the degree of the system configuration freedom, the number of the dependent control inputs is less than the degree of the system configuration freedom, which leads to a difficulty in controller design.

由于非完整约束是对系统广义坐标导数的约束，它不减少系统的位形自由度，这使得系统的独立控制个数少于系统的位形自由度，给其控制设计带来很大困难。

The generalized spectral density and its derivative can be used to capture various specific aspects of serial dependence.

广义谱密度和它的导数还可以被用来检验序列相依的各个方面，例如鞅差，条件同方差性，条件对称性，和条件等峰度性等。

Furthermore, in order to overcome the disadvantage of GMC, i.e., it can only apply to the processes with relative order of 1, based on Lie derivative, we propose to let the r th derivative of the process output follow the given reference trajectory, to get the control law expression through solving an optimization problem.

针对GMC方法只适于相对阶r为1的简单过程的缺点，采用Lie导数的概念，令过程输出的r阶导数的轨迹为事先设定的标称轨迹，通过解优化问题得到控制律表达式，把GMC方法推广至相对阶r大于1的复杂多输入多输出过程，从而提出了一种广义一般模型控制方法。

The existence of global weak solution for a class of generalized Ginzburg-Landau equations with an inhomogeneous boundary condition was studied. Some integral indentities of smooth solution of inhomogeneous initial boundary value problem of Ginzburg-Landau equations were deduced, by which a priori estimates of the square norm on boundary of normal derivative and the square norm of partial derivatives were obtained.

研究具非线性边界条件的一类广义Ginzburg＿Landau方程解的整体存在性·推导了Ginzburg＿Landau方程的非齐次初边值问题光滑解的几个积分恒等式，由此得到了解的法向导数在边界上的平方模以及解的平方模和导数的平方模估计；通过逼近技巧、先验估计和取极限方法证明了Ginzburg＿Landau方程的非齐次初边值问题整体弱解的存在性

In the chapter 4, we discussed the generalized linear inversion method of direct current IP data from the angle of the least squares method. The computed speed of inversion can be greatly raised by calculating the partial derivatives matrix combining the reciprocity principle with Broyden\'s quasi-Newton method.

在第四章中，从最小二乘广义线性反演的角度，探讨了直流激电数据的广义线性反演方法；在偏导数矩阵的计算过程中，通过将互换原理与Broyden拟牛顿技术相结合的计算方式，可大大提高反演的运算速度。

Following from the results of sensitivity analysis of standard eigenvalue problems,the differentiability of semisimple multiple eigenvalues of nonsymmetric generalized eigenvalue problems is proved,and the derivatives of semisimple multiple eigenvalues and the series expansions of the corresponding eigenvectors are obtained.

以标准特征值问题灵敏度分析的有关结论为基础，证明了单参数非对称广义特征值问题半单重特征值的可微性，给出了特征值导数的表达式和特征向量的级数展开式。以所得结论为基础，定义了广义特征值问题半单重特征值的灵敏度，给出了确定矩阵对中敏感元素的方法

Several objective spins of solid cylinder torsion deformation were rendered and the large deformation elastoviscoplastic constitutive relationship s were derived for the Oldroyd stress rate,the generalizing Jaumann stress rate and the stress rate with respect to the spin of the frame of deformation rate with the aid of stress-strain curve from torsion test.

应用等向强化的J2流动塑性理论，建立了以扭转试验的应力—应变曲线为基准的，分别由Oldroyd、广义Jaumann应力导数和相对于变形率标架旋率的应力导数表述的大变形弹塑性本构关系。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。