矩阵函数

To create an orthogonal matrix, we need to call D3DXMatrixOrthoLH and this will create a matrix for us.

为了创建一个正交投影矩阵，我们需要调用D3DXMatrixOrthoLH函数，它将为我们创建一个矩阵。

Then, an optimization algorithm is used to optimize the initial projective transformation matrices by using area around each feature point, and complete the precise image mosaics.

方法的具体实现为：首先利用相位一致方法提取各图像中边缘上的角点特征，对特征角点进行初始匹配，然后利用初始匹配的角点计算变换矩阵的初始参数，再以光强度差的平方和为优化目标函数，在优化的过程中逐步获得变换矩阵的最佳参数，最后对重叠区域运用渐入渐出的方法实现了光强或颜色的自然过渡。

To realize reduced equivalent representation for functional dependency set, sameroot row, same-class row and same-class row family are presented, merging rules of same-root row in a schema matrix are defined, merging algorithm of same-root row and solving algorithm of same-class row family in a schema matrix are discussed.

为了实现函数依赖集的最简等价表示，提出了同根行、同类行、同类行族的概念，定义了模式矩阵M中同根行的合并运算规则，讨论了模式矩阵M中同根行合并算法，同类行族求解算法。

This kind of decoupling is enabled by introduction of an additional slack variable and enables us to obtain a parameter-dependent Lyapunov function for polytopic uncertain systems.

与已有的判据相比，该准则呈现出Lyapunov矩阵与系统矩阵之间分离的特性，使得将其应用于不确定系统时能够得到参数依赖型Lyapunov函数。

An on-line blind source separation algorithm of non-stationary mixed signals is presented. The algorithm uses the multiple time-delayed decorrelation and natural gradient rule to obtain the stationary point of the cost function, only a small number of observed samples is needed to minimize the Frobenius norm of the correlation matrices, so the computing cost is low and continuous separation calculation could be realized by on-line operation.

利用一种基于多时延解相关准则的代价函数和自然梯度原则，分别推导出非平稳信号在瞬态线性混合及卷积混合情况下的在线盲分离算法，仅通过对有限个时延样本的相关矩阵进行Frobenius范数最小化运算得到分离矩阵，计算工作量小，无需对样本进行分块处理，可实现对信号的连续跟踪操作。

By introducing the nonlinear complementarity problem function, the Karush-Kuhn-Tucker conditions of OPF model are transformed equivalently into a set of semismooth nonlinear algebraic equations. Then the set of semismooth equations can be solved by a semismooth L-M method based on the subdifferential. The method belongs to Newton-type method. It can ensure the positive defmitiveness of the iterative coefficient matrix by using the L-M parameter, which avoids the ill-conditioning of iterative equations. The method, requiring only the approximate solution of a linear system at each iteration, is quite applicable to the large-scale cases.

在利用非线性互补函数将OPF模型的KKT条件转化为半光滑非线性代数方程组后，采用基于次微分的半光滑L-M法求解，该方法属于牛顿法范畴，可通过对L-M参数的调整保证迭代系数矩阵的正定性，克服了系数矩阵的奇异引起的"病态"，且该方法在确定搜索方向时只需求解线性系统的加热器近似解，适用于大规模系统的求解。

After studying this phenomenon, the author finds that, the covariance matrix of the complex expressions of horizontal gradients of the disturbing gravity field elements has a structure of blockwise repetitive Toeplitz matrix, though the covariance within the disturbing gravity field elements is still anisotropic. Therefore, the collocation problem of the complex combination of horizontal components is similar to that of gravity anomaly, which makes the degradation be able to be completed by FFT transformation matrix.

作者研究发现，利用水平梯度的复组合，即复数表示后，扰动重力场元复组合之间的协方差函数尽管还是各向异性，但它们对应的协方差矩阵却具有分块 Toeplitz 循环阵的结构，因而水平分量复组合的配置问题与重力异常的配置问题相似，可以利用傅立叶变换矩阵进行降阶处理。

A matching graph of class-buck and class-stack is obtained by a simplifying rule to guarantee the correctness of curriculum schedule. Employing the matching graph as the initial solution, Tabu search is introduced, the index of which is the weighted summation of the principle of categoricalness, rationality, and humanization.

在此基础上，引入禁忌搜索算法，以排课的完备性原则、合理性原则和人性化原则的加权和为目标函数，以随机二维权值矩阵生成的匹配偶图为初始解，对二维权值矩阵进行扰动构成搜索邻域，以生成的匹配偶图为禁忌对象，采用全局藐视准则，获得最优的排课方案。

Based on the Lorentz-Mie theory, the single scattering characteristics of multi-dispersed spherical and multi-layered spherical particles are studied. The extinction coefficients, scattering coefficients, single albedos, single scattering phase functions and asymmetry factors of different clouds are presented. Numerical results for single scattering of spherical and non-spherical particles are obtained in the approximation of geometrical optics. The single scattering phase matrixes of non-spherical aerosols are calculated by using the T matrix method.

基于洛伦茨-米理论研究了服从一定尺寸分布的球形和多层球形粒子的单次散射特性，计算了各种不同类型云层的消光系数、散射系数、单次散射反照率、单次散射相函数以及不对称因子；利用几何光学方法计算了球形、非球形粒子的单次散射特性；利用T矩阵方法计算了非球形气溶胶的单次散射相矩阵。

Establish the modified functional of the analysis of the beam element and plate element, base on the generalized variational principle and penalty function method.

同时指出了选择合理的坐标原点以便充分发挥覆盖位移函数的全阶项对总平衡方程组成时刚度矩阵和荷载矩阵的贡献，使求解精度得到提高。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。