矩阵函数

Unit conversions, matrix calculations, complex numbers, vectors handling and function plotting are supported.

支持单位转换、矩阵计算、复数、向量处理和函数构造功能。

In chapter 4, the factorization and cascade decomposition for first order singular systems have been discussed, the if and only if conditions have been obtained, the invariaty of minimality under factoiization and cascade decomposition has been proved.

第四章，讨论了一阶奇异系统的因子分解和级联分解，给出了其具有上述分解的充要条件，证明了极小性在分解下的不变性；对具有一阶奇异系统实现的有理函数矩阵，给出了判定其为正实函数的充要条件，推广了著名的正实引理。

Based on the theory of matrix variate distribution, we derive exact closed-form expressions of the moment generating function of mutual information of MIMO channels with interference.

利用矩阵变量分布理论，论文推导出一些典型情况下交互信息的矩生成函数精确封闭表达式，然后利用这些表达式，给出了相应情况下平均信道容量的精确封闭表式。

It describes the heteroskedasticity character of interest rate by projecting the sample data onto the EGARCH (1, 1) auxiliary model, makes making the covariance matrix as moment conditions and uses EMM to estimate the parameters. EMM avoids the disadvantage of infeasible or computationally intensive of maximum likelihood functions.

通过将观测数据映射成EGARCH(1， 1)辅助模型描述利率行为的异方差特征，以协方差矩阵为矩条件，用有效矩估计方法得出模型参数，避免了最大似然估计法似然函数不可知或难以求积分的缺陷。

First,by choosing a control function for a local adaptive optimal neighborhood,the filter window is set in the region with similar normals to avoid the problem of shrinkage and over-smoothing.

首先通过自适应选取最优邻域控制函数来将滤波窗口限制在顶点法向量相近的区域，以防止滤波后模型的收缩和过光顺；然后运用协方差矩阵分析的方法，在最优邻域内计算出各采样点的法向量和曲率；最后以采样点滤波参考平面为基准，分别平滑采样点的法向量和位置，即先对采样点的法向量进行多边平滑，然后根据新的法向量来多边平滑输出各采样点的位置偏移量，最后在法向方向上移动该顶点，以达到降噪的目的。

By adding the nonmembership degree parameter to the partition matrix 〖WTHX〗U〖WTBZ〗 and objective function, the fuzzy cmeans clustering algorithm is improved. Furthermore, the iterative reasoning formula and the algorithm description are presented. Thus the technique ascribes the clustering to a linear restricted programming issue, which is applied to the status of vast samples.

通过增加非隶属度参数对模糊c〖CD*2〗均值(fuzzy cmeans， FCM)聚类算法中的模糊划分矩阵〖WTHX〗U〖WTBZ〗和目标函数进行改造，进而给出迭代推导公式和算法描述，把聚类归结为一个带约束的线性规划问题，适用于大数据量的情况。

That is to utilize general MPI programming environment, program on the NHBL parallel computational model, analyze and predicate the running cost of program by using the cost function of this model, and analyze the scalability of program by using the time-scale scalability metric. Finally, we analyze the numeric algorithm example---matrix multiplication and the nonnumeric algorithm example---PSRS sorting on Dawning-1000 MPP and NHPCC-cluster NOW system by using the integrative method.

提出了将并行计算模型、算法、编程进行一体化的研究的方法，即利用通用的标准的MPI编程环境，将编程建立在NHBL并行计算模型上，并且利用该并行计算模型的评价函数进行分析、预测程序的运行代价，再利用时间比例的可扩放性分析方法来分析程序的可扩放性性能；最后我们用PSRS排序算法和矩阵乘法这两个典型的数值和非数值的算法，在曙光-1000并行机和NHPCC-Cluster工作站集群上进行了一体化的分析。

By using center manifold theorem and normal form of maps, we also present formal proofs of the supercritical flip bifurcation at the bifurcation point. Above this threshold, there is a characteristic sequence of bifurcations, leading to chaotic dynamics, which implies that the dynamical behavior of the single species model with birth pulses are very complex.

利用单参数族映射的中心流形定理、正规型和指数积分函数的性质，得到了具非线性出生率或具密度依赖成熟率的混杂矩阵模型正平衡态的存在性和稳定性、超临界分支以及各种复杂现象甚至混沌。

The most important thing is to learn how to input matrix, the use of : operator, and how the function call.

最重要的是要学习如何输入矩阵，如何使用：算子，以及如何调用函数。

In order to locate direct singular positions, we begin by expressing the determinant of the Jacobian matrix Jx in terms of position of the center P of the moving platform. The Z and the Y coordinates of P may be chosen from the workspace, then the determinant of Jx is now a six order polynomial of X, the x coordinate of P. The direct singular positions corresponding to are obtained by solving the polynomial equation, and retaining all real roots in the workspace.

由速度分析的Jacobian矩阵Jx，将其行列式值表示成活动平台中心点P位置的函数，寻找奇异位置的方法是先假设平台高度，再假设工作空间内P点的Y座标，使Jx行列式成为P点X座标的六次方程式，求解方程式并保留在工作空间内之实根。

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。