查询词典 spatial coordinates

MGM is introduced to solve field distributions in 3-D electron optical systems. The difference equation, the discrete form of Laplace's equation, is deduced in 3-D Cartesian coordinates. In view of the smooth effect, MGM combines Gauss-Seidel iteration with a technique known as coarse grid correction. Formulae for restriction and prolongation are deduced and expressed in terms of tensors.

将多重网格法引入电子光学系统中三维静电场的计算，对三维笛卡尔坐标系中的差分方程，采用高斯-赛德尔迭代法求解差分方程组，并结合迭代过程讨论了粗网格的误差校正技术；在不同网格层之间进行场值的限制和延拓，推导了三维静电场中的限制、延拓公式并以张量的形式表示。

THE SELLER REVIEWS THE ICPO AND UPON ACCEPTANCE ISSUES DRAFT CONTRACT TO BUYER FOR COMMENTS AND ACCEPTANCE, THE BUYER SIGNS AND RETURNS THE DRAFT CONTRACT SHOWING ALL AMENDMENTS REQUIRED INITIALED AND ADDS THEIR FULL BANKING COORDINATES, CONFIRMING BANKING INFORMATION AND CONTACT INFORMATION

卖方评论ICPO，接受买方评论和接受的合同草本事项，买方签字并回传合同草本，显示所有要求的修改，添加银行信息，确认银行信息和合同信息。

The measuring principle and structure of the 3D coordinates on the object with a single camera is introduced in brief, then the computing process to conquer the new model is also given in detail, and at last large scale experiments are conducted to verify the correctness and accurateness of the new model.

文中简要介绍了利用单摄像机测量目标三维坐标的工作原理与系统结构，给出了求解新模型的详细计算过程，并通过大量的实验来验证了新模型的正确性与有效性。

Asymmetrical dynamic propagation problems under the action of variable loads and (P^3t/x^2) located at the origin of the coordinates respectively, are resolved by the measures of self-similar functions, and the universal expressions of analytical solutions to stresses, displacements and stress intensity factors are gained.

采用自相似函数的方法对坐标原点分别受到变载荷Px/t、Pt^3/x^2作用下的非对称动态扩展问题进行求解，获得了应力、位移和动态应力强度因子解析解的一般表达式。

To extract shaft orbit\'s features invariant to rotation, scaling and translation, the unique strengths of Haar orthogonal matrix type are found, the horizontal and vertical coordinates of shaft orbit are fast proceeded by Haar transform, respectively, and the slopes with different resolutions are obtained at different positions by using the corresponding transform coefficients, and then the multi-resolution angles between the adjacent slope straight line are extracted skillfully and used for the hierarchical recognition, the recognition process accords with the principle of human\'s recognizing things by using hierarchy analysis approach.

为提取轴心轨迹平移、旋转、尺度不变性特征，本文挖掘出Haar正交矩阵在图形识别中的独特优点，引入Haar正交矩阵分别对轴心轨迹的横、纵坐标进行快速变换，并利用变换后的对应系数得到轴心轨迹不同位置不同分辨率下的斜率，继而推求出相邻斜率直线之间的多分辨率夹角，所获夹角用于轴心轨迹的分层识别，其识别过程符合人类识别事物层次分析的规律。

Due to rotation characteristics of spindle and definite parameterized structure of aerostatics lubricated bearing ,mass-spring structural method equivalent to aerostatics bearing system was introduced and system main coordinates and inherent frequency were obtained by establishing dual movement equation.

针对气体静压主轴的运动特性和气体静压润滑轴承的参数结构，提出了采用质量-弹簧结构方法来等效气体静压轴颈轴承系统，并建立了系统二自由度运动方程，最终确定了系统的主坐标系和固有频率。

The geometric detail is represented as the set of the local affine coordinates of the base surface and extracted effectively and efficiently in user specified frequency band of geometric signal.

通过基曲面上的局部仿射坐标，则可以得到与之对应的多分辨率几何细节表示，曲面的低频信息和高频信息易被用户所指定的频段分离。

Based on the idea, this paper proposed an efficient algorithm to compute 3P+Q directly over F in terms of affine coordinates, its computational complexity was 1I+3S+16M, saving one field inversion compared to Ciet's method.

根据这种思想，提出了素域F上用仿射坐标直接计算3P+Q的算法，其运算量为1I+3S+16M，比Ciet等人提出的方法节省了一次求逆运算。

This gives a new description of human recognition mechanism from the view of information geometrical and algebraic topological treatment, the results include Propose a structure representation and system identification approach for neural networks, based on the concept of simplical complexes and dual affine coordinates in the dual flat manifold.

主要的结果包括：提出用对偶平坦流形上的单、复形结构和对偶平坦流形的对偶仿射坐标作为神经网络内在结构表示的一种方法，具有广泛的意义。

That is that information processing of neural networks is viewed as the composition of the two steps: field organization and field action, in which, field organization transformation converts input pattern into relevant structure representation, extracting the underlying architecture features and forms a architecture representation in action transformation space; The field action transformation converts the features representation into expected output. In strategies, we use the dual affine coordinates in dual flat manifold as way of representation of field organization system and field action system, which established a theoretical framework of analysis the coupling mechanism of information processing from the view of point of structure representation and model generation.

在具体人工神经网络结构描述的策略上，利用对偶流形空间上的对偶仿射坐标概念分别表示场组织变换系统和场反应变换系统，建立起从问题的结构表示和模型生成两种观点来分析信息处理的理论框架；分析了有监督和非监督学习人工神经网络模型在神经场变换机理下的形式化描述。

"The operators will suffer a temporary decrease in the number of consumers and short message services as people may not like having to provide their ID cards for a phone number," Xu Junqi, vice-dean with the Policy-Making Institute of the Telecommunications Research Centre under MII, said yesterday.

信息产业部下属的通信决策研究院副主任徐俊其昨天说：&实行手机实名制后，人们可能不太情愿用身份证注册手机号，所以通信运营商会暂时面临用户减少和短信用户减少的问题。&

I don't believe in make-believe!

我不相信这些虚构的故事。