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矢量计算

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In the frame of Random Matrix Theory,the statistic functions of therandom orthogonal unitary vectors are calculated.It is shown that their means andfluctuations will tend to zero with the increase of N,while following thescaling laws.

在随机矩阵理论的框架内,我们数值地计算了随机的正交归一矢量的这两个统计函数,发现它们的平均值和涨落随N(N=1/h)的增大而趋于0,并且有明显的标度关系。

By means of the Singular Spectrum Analysis, We transform the reconstructed space to an orthogonal coordinate and then calculate its correlation dimension.

通过对重构空间引入奇异谱分析,将状态矢量变换到一组正交的坐标系,进而计算其关联维数。

The main works include five parts:(1) A modified K-means algorithm for optimizing the RBPNNs' structures was proposed;(2) The RBPNNs' structure optimization method based on the orthogonal least square algorithm was proposed that can greatly reduce the computation expense for the structure optimization;(3) Using the GA to perform the whole structure optimization of the RBPNNs was proposed in this thesis, which include simultaneous optimization of the hidden centers and the corresponding controlling parameters of the kernel functions.

主要工作体现在如下三个方面:(1)提出一种改进的 K-Means 算法;(2)提出了基于递推正交最小二乘算法的结构优化算法来训练径向基概率神经网络,从而大大减小了用于结构优化的计算开销;(3)提出使用遗传算法来实现径向基概率神经网络的全结构优化,即隐中心矢量和核函数控制参数同时优化,通过新设计的编码方式、新构造的适应度函数,充分发挥了 GA 的全局搜索性能,使得所优化的径向基概率神经网络的结构趋于最简。

We prove that thecontributions of the quadratic combinations of the extrinsic curvature of the horizon arezero by defining a pair of vectors which orthogonal to the event horizon and dual to oneforms.

计算表明:当取一对与视界面正交且与1-形式对偶的矢量后,视界外曲率的二次项对熵的贡献项为零。

The uncorrelated optimal discriminant vectors are obtained by resolving the orthogonal vectors based on maximum scatter difference discriminant criterion in the uncorrelated projection space.

本文基于最大散度差准则,利用统计不相关投影空间,提出了一组具有统计不相关性的最佳鉴别矢量的计算方法。

The cam profile curve of an eccentric rotating-swinging cam mechanism is designed by using polar coordinate vector method.

运用极坐标矢量法对一种偏心旋转-摆动式凸轮机构的凸轮轮廓曲线进行了设计计算。

Additionally,the method to determine position coordinate and trajectory vector of the shooting point with detection array is also studied in this paper.

另外还研究了利用正四面体探测基阵确定射击点空间位置坐标和弹道矢量的计算方法。

Formulae about curvatures and three dimensional principal directions of an implicit surface are deduced.

推导得出了任意隐式曲面曲率的计算公式和三维矢量形式的主方向。

Using the principle of linear superposition, the magnet field distribution of one or several permanent magnet rings can be obtained.

根据矢量迭加原理,应用该公式可计算1块至多块永磁环并列放置时其外部空间的磁场分布。

The flux hysteresis controller was ignored in the constant torque region and an improved method was proposed to make the estimation of torque easier.The proper stator voltage space vector was selected based on the output of the torque hysteresis controller and the sector which the current rotor flux locates in.

摘 要:针对无刷直流电机直接转矩控制中磁链观测困难、控制复杂等问题,提出了一种应用于无刷直流电机二二导通方式下的新型直接转矩控制方法:在电机基频以下调速时,略去了常规的磁链观测控制环节,改进了转矩计算方法,通过转矩滞环控制选择所施加的空间电压矢量。

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Chapter Three: Type classification of DE structure in Sino-Tibetan languages.

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