算了

The vactrix method is further developed, a vectrix Skew-symmetric crossproduct identity is presented and the dyadic form of the derivative of a vector with respect to another vector in terms of vectrix is also offered.

进一步发展了矢阵方法，提出了矢阵叉积算子恒等式及矢量相对于矢量的导数以矢阵表示的并矢形式，并给出了若干应用实例。

In this paper, the concept of congruent diagonalization of matrix is presented, and the problem of diagonalization of one matrix is generalized.

提出矩阵合同对角化概念，对一个矩阵对角化问题进行推广思考，讨论了二个矩阵的同时对角化问题，取得了一些结果，给出了有关算

Also we use the time-dependent SU (2) gauge transformation to diagonalize the Hamilton operator, obtain the berry phase and analytically the time-evolution operator. The particle number difference of species A between the two wells is studied analytically.

此外我们还研究了在双阱玻色-爱因斯坦凝聚中纠缠态的演化，研究发现随着组分间相互作用和随穿率的比值的增加系统演化到Bell态的概率变大，而且组分自身内在的相互作用对形成Bell态的几率没有影响；并且用含时Su（2）规范变换对角化哈密顿量得到了系统的Berry位相和时间演化算符，并研究了量子随穿过程。

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。

Application of FLAC and numerical differential to surface deformation observation;2. The formulas solving numerical differential and integral of discrete function arc deduced in this paper.

推导了三次样条插值在求解列表函数的数值微分与积分的公式，给出了余项估计，编写了用于求解数值微分与积分的通用程序，通过数值算例表明，三次样条在插值逼近中具有非常好的性质。

A class of exact solutions of the Dirac equation are obtained for an electron in the electromagnetic field of a wave guide formed by two pairs of hyperbolic cylinders.

摘要研究了位于由两对双曲柱面构成的波导管电磁场里的单电子的性质，得到了单电子在场中狄拉克方程的新一类精确解；计算了极化算符的本征函数。

The system parameters are determined by optimizing an output-error cost function. To deal with the non-uniqueness of the fully parameterized state-space system, a projected gradient search algorithm is presented by restricting the update of the parameters to the tangent space to the manifold of observationally equivalent state-space systems. The sufficient condition to employ L-M algorithm for optimizing parameters is also introduced. The proposed hierarchical optimization identificationmethod includes two steps: First, the parameter search direction is determined by the proposed adaptive L-M projected gradient approach; Second, the optimum step size is computed according to a line search method.

通过极小化输出误差目标函数获得了系统参数估计；提出了正交梯度搜索方法用于解决系统参数的非唯一性问题，正交梯度搜索的本质是在输入-输出等价类相切平面的正交垂空间更新系统参数；给出了用 L-M 算法进行参数优化的充分条件；提出的系统参数递阶优化辨识方法包括两步：首先用给出的自适应 L-M 算子正交梯度方法确定参数优化方向；其次由一维搜索方法计算最佳步长。

Then after the author researches the interaction problem of the partial derivative operators with respect to the two points P and Q, analytical expressions as well as series expansions of the kernel function within disturbing gravity field elements are determined, and their explicit expressions which can be applied practically are given for the first time.

深入研究了关于 P 和 Q 两点局部导数算子的相互作用问题，得到了扰动场元之间核函数和协方差函数的解析与级数展开式，首次给出了较为实用的明晰表达式。

By using modified conditions for dominant function,we establish extended dominated convergence theorem and obtain an application to integral operators with weak singularity , which simplifies the proof of the classical conclusion.

本文研究了一类推广的控制收敛定理及其应用，利用对控制函数满足条件的修改，建立了推广的控制收敛定理，获得其在弱奇异性积分算子中的应用，简化了经典结论的证明。

Since most of the large molecules containing phosphorus element have double bonds, it is necessary to consider the special structures of double bonds in order to deal with these large systems more accurately. So, based on density functional theory and electronegativity equalization principle, applying a general atom-bond electronegativity equalization method , using separated program, through regression and least-squares optimization , the parameters of atoms and bonds in molecules are determined . By these parameters , the charge distributions and the energy of some molecules containing phosphorus element, especial the fragment of DNA, RNA, are calculated . The results are quite good.

由于这些含磷生物大分子体系都含有双键，为了明确的处理双键，进而更准确的解释带有双键和共轭双键的含磷生物大分子结构与性质的关系，我们以密度泛函理论~([1-4])和电负性均衡原理~([5-9])为基础，应用和开发原子-键电负性均衡方法中的σπ模型，利用最小二乘法，拟合确定了一些分子（含碳、氮、氧、氢以及磷等原子）的各种类型原子及化学键区域的参数，并利用上述参数计算了一些多聚核苷酸的电荷分布以及分子的总能量，进行了讨论，得到的结果可以和从头算相媲美。

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。