矩阵函数

It is shown that the Hessian matrix and the density of states can be obtained reasonably using the equivalent Coulomb potential in the form of the complementary error function.

计算实践表明，取用余误差函数形式的等效库仑势，可以合理地得到Hessian矩阵和态密度。

Most of them involves solving the gradient and Hessian of the object function, usually by means of symbolic differentiation.

它们大都涉及求解函数的梯度和海森矩阵，通常使用的计算方法是符号微分和差分近似。

2The matrix elements of the equation is obtained in the form of general formulaby cautions deduction using spinor formula,together with identical transformation andintegral formula related to FG.

运用诸旋量计算公式和含G函数的恒等变换、积分公式，经过细致的推导，以通项公式形式给出该一维积分方程相应于〓态的诸矩阵元。

While the cooperative co-evolution is executed in a sub-domain, a matrix of environmental impact is introduced to map other sub-domains' influence information to the fitness evaluation function in this sub-domain, to achieve the global optimization of population evolution.

在子问题域进行合作协进化时，在适应度函数中引入环境因子影响矩阵，将其他子问题域的影响信息映射到该子问题域中的个体适应度评估中，从而引导种群向全局优化方向进化。

In the case of inapplicability of hammering excitation to the arm of industrial robot for extracting its dynamic characteristics,according to the Duharmal integral theory and applying the specific upper triangle construction of input matrix of system as well as the technique of time average ,an efficient de-noising average recursive algorithm is presented in this paper.

针对锤击激励方式不适用于工业机器人操作臂动态性能测试的情况，根据Duharm a l积分理论，利用系统输入矩阵的上三角形的特殊结构，并结合时域平均技术，导出了具有抗噪性能的高效的求取系统脉冲响应函数的平均递推算法。

However the calculation of invariants for coloured Petri nets is a hard work because the elements of coloured incidence matrix are not integers, but functions instead.

但是，着色Petri网的不变量求解却是一项非常困难的工作，因为它的关联矩阵的元素不再是整数而是函数。

With the transfer function. it is straightforward to construct the incidence matrix M. Then α〓, the number of K-strings in L, can be obtained by simply summing over a specific row of M〓.

有了转移函数就可以直接计算关联矩阵M，而L中允许的K-串个数α〓可以通过对M〓的某一行求和得到。

An equivalent condition for the singular discrete linear systems to be regular, causal, stable as well as the transfer function satisfying a prescribed H-infinity norm bound is obtained by means of linear matrix inequation method.

利用线性矩阵不等式方法，导出广义离散线性系统正则、因果、稳定且传递函数满足给定的范数界的等价条件。

The computation of the infinitesimal generator matrix of the stochastic marking process underlying the First order FSPN model is described, which accounts for the transition rates among discrete tangible states. After that the transient state and steady state equations for the probability density functions describe the stochastic marking process are presented.

在说明了一阶流体随机 Petri 网随机标识过程在离散实存状态空间的转移速率矩阵等的计算方法后，给出了描述随机标识过程状态的概率密度函数在暂态和稳态情况下满足的方程。

When obtaining this condition,we don\'t use any bounding technique to deal with the weak infinitesimal operator of the Lyapunov function by using the knowledge of stochastic analysis.

积分的性质，引入了适当的自由权矩阵，避免了对Lyapunov函数的弱无穷小算子进行放大，从而降低了稳定性条件的保守性。

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。