查询词典 normal matrix

In this paper, the adjointness of the product of two differential operators generated by a third order normal and singular symmetric differential expression in the limit-circle case is discussed. The necessary and sufficient conditions which make the product operators being the adjoint operators obtained by the matrix analysis and calculation. At the same time, the adjointness of the product of the power and adjointness operator obtained.

本文首先讨论了正则和奇异两种情况下两个极限圆型三阶对称微分算式生成的微分算子的乘积的自共轭性，运用矩阵分析和计算，得到了乘积算子为自共轭算子时边界应满足的充分必要条件，同时得到了幂算子的自共轭性、自共轭算子乘积的自共轭性等乘积算子的其它若干性质。

In this paper, based on the invariant subspace theory and adjoint operator concept of linear operator, a new matrix representation method is proposed to calculate the normal forms of n order general nonlinear dynamic systems.

对于 n阶一般的非线性动力系统，根据线性算子的不变子空间理论和共轭算子概念，提出一种计算其规范形的新的矩阵表示方法。

Firstly, the natural frequencies and normal mode shapes of the fluid-conveying pipe with zero fluid velocity (i.e. U=0) were determined with the transfer matrix method. Next, these natural frequencies and normal mode shapes were used to derive the equation of motion for the fluid-conveying pipe with fluid velocity U.neq.0 by using the expansion theorem. Finally, the free and forced vibration responses of the pipe with flowing fluid were obtained by means of the Jacobi method and the Newmark direct integration method.

首先吾人使用转移矩阵法来求取一流速等於零(即U=0)、跨距数为N之流体输送管的自然频率及其所对应之正规化振态，然后利用振态重叠法原理来推导流速不等於零(即U.neq.0)时，整个流体输送管在外力作用下的运动方程式，最后再以Jacobi法及Newmark直接积分法来计算该水平流体输送管的自然频率及强迫振动反应。

Taking advantage of gauge transformation and dipolar approximation, we qualitatively derive rotating Bose-Hubbard model.Then finite temperature phase boundary between superfluid phase and normal state in rotating Bose-Hubbard model is analytically derived by studying the stability of normal state in rotating bosonic optical lattice.We also analytically prove that as the function of rotation angular velocity the oscillation of critical hopping matrix directly follows the upper boundary of Hofstadter butterfly.

4通过做一个规范变换和偶极近似，定性地推导了旋转Bose-Hubbard模型，并且通过研究正常态不动点的稳定性推广了旋转Bose-Hubbard模型的零温相图到有限温度的情形；另外根据系统有效的能带宽度与旋转速度的关系(Hofstadter蝴蝶)，得到了系统的临界跃迁矩阵随旋转速度的改变展示谐振行为的结论。

First,a formula to calculate the normal vector of any hyperplane is given and a mixing matrix recovery algorithm based on the normal vector of any hyperplane is proposed.

首先给出了m维超平面的法矢量的计算公式，提出了一个基于超平面法矢量的矩阵恢复算法。

Furthermore, these ICs span the characteristic space of normal operating condition, and the changes of coefficients matrix, which are obtained by projection of process variables onto the space of normal operating condition, are monitored.

通过独立分量分析算法提取正常工况下的独立分量并构成特征子空间，进一步以过程变量在该空间上投影系数矩阵的变化被作为监控指标对系统性能进行监控。

In order to achieve accurate solutions of ill-conditioned GPS equations with a few observational epochs, the ill-conditioned normal equations of GPS rapid positioning was transformed as a function optimization problem. Then genetic algorithm was used to calculate parameter solutions, which avoided the inversion of coefficient matrix of normal equations.

为准确解算仅有少数几个历元的GPS载波相位观测数据的病态定位方程，将GPS快速定位的病态法方程求解问题转化为一个函数优化问题，应用遗传算法求解病态方程，避免了法方程的求逆运算，从而可以得到参数的近似最优解。

The algorithm uses a Markov process, making use of a large number of normal data transfer training probability matrix to construct the normal data behaviour profile, and it raises the efficiency of detection by the choice of detection window or setting a certain threshold.

该算法采用了一阶马尔科夫过程，利用大量正常数据训练概率转移矩阵，构造正常数据的轮廓，并通过对检测窗口和阈值的选择提高检测效率。

Based on variational principle and split-based interpolation finite element method for fast and accurate analysis of normal mode helical antenna,Combination of genetic algorithm and then load the normal mode helical antenna loaded on the value of lumped elements,Load location,and matching network integrated optimal design parameters,And using Sherman-morrisorr Woodbury formula to quickly solce the load component values and load the changed position of the impedance matrix equation to improve the efficiency of optimized design.

采用基于变分原理和剖分插值为基础的有限元法来快速精确分析法向模螺旋天线，然后结合遗传算法对加载法向模螺旋天线上的加载集总元件的值、加载位置以及匹配网络参数进行一体化优化设计，并采用Sherman-Morrisorr Woodbury公式来快速求解加载元件值和加载位置改变后的阻抗矩阵方程，提高优化设计的效率。

The positive expression rates of Tissue Inhibitors of Metalloproteinase-2 protein in the cases of involuting groups were significantly higher than those in proliferating group and vascular malformation groups and normal skin group (P.05). Its difference was significant. Conclusions: Matrix MetallProtinase-2 and Tissue Inhibitors of Metalloproteinase-2 may play an important role in the pathogenesis of hemangiomas through angiogenesis. They may have no effect on vascular malformation and normal skin

血管瘤退化期，TIMP-2表达明显升高，说明 TIMP-2与血管瘤纤维化、消退有关，其机制可能是一方面通过抑制MMP-2介导的基底膜降解而在内皮细胞迁移、聚集中起作用，另一方面直接抑制内皮细胞的增殖及迁移，使内皮细胞高频率调亡，细胞外基质增多，组织出现纤维化，最终导致血管瘤的退化。2、血管畸形和正常皮肤小血管中MMP-2和TIMP-2不表达或表达较弱，说明血管畸形和正常皮肤小血管中并不存在异常的血管生成，据此可以对血管性疾病进行分型、分期，并指导临床治疗。

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。