场

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。

In chapter 5, heat mechanism and heat radiating forms of the hydraulic system faults are studied. Based on relationship between degree of the hydraulic system faults and thermal image shapes, multi-scale entropy of temperature field is taken to express the fault degree. Entropy of low frequency means its absolute temperature, and entropy of high-frequency means distribution of temperature field.

同时针对系统故障程度的不同，提出了用温度场的熵进行表征的思路，通过多尺度小波对原热场图像进行小波变换，提取其中低频分量的熵用来衡量其绝对温度大小，提取高频分量的熵来衡量其温度场的分布，给出了实验结果，通过实验结果分析，证明这种分析方法是可行的。

A new method based on the Fourier-Bessel series is proposed to calculate the higher-order harmonic components of a nonlinear ultrasound field in absorbing medium and an analytical solution of a series form is obtained. A closed analytical solution of the higher-order harmonics in the zeroth-order Bessel ultrasound field and the focused Gaussian ultrasound field is deduced to study the field property, especially the near-field property.

提出了一种基于Fourier-Bessel级数的新方法，用于计算吸收媒质中非线性超声场的高次谐波分量，得到其级数形式的解析解，由此推导出吸收媒质中零阶Bessel超声场、Gauss聚焦超声场高次谐波的封闭解析解，进而对其声场特性尤其是近场特性进行了研究。

But there are few studies on mixing and advection of pollutant in wave environment with turbulence model.

利用二维模型研究了波浪和波流环境中的扩散系数，利用二维和三维模型模拟分析了不同流场环境中射流流场和浓度场的分布。

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。

Variances were found among the varying amplitudes of the individual ecological field gradients of Alsophila spinulosa in different sites. The maximal gradient values and effect distances of the maximal gradients also varied.

不同地段的桫椤种群个体场梯度大小变化幅度不同，最大场梯度值以及出现最大场梯度时的作用距离亦不相同。

In order to study the grating diffractive field's characteristics of the partially polarized and coherent beams, an analytic expression of polarization degree and angular correlation of partially ploarized and coherent beams through polarized gratings is derived based on the beam coherentce-polarization matrix approach of partially coherent beams.

为了研究部分偏振部分相干光光栅衍射场的衍射特性，利用部分偏振部分相干光的光束相干-偏振矩阵，推导出了部分偏振部分相干光通过任意偏振光栅后，衍射场的偏振度及场中衍射级次角相关的一般解析表达式。

We discuss the special case of motion in a plane, because of the angular momentum per unit mass, a, the spinning particles in Kerr spacetime is different form the case in Schwarzschild spacetime.

主要讨论在赤道平面的特殊情况，由于场源具有角动量，自旋粒子在Kerr场中的运动不同于史瓦西场中的情况。

The filling process and temperature field of the die has been coupling simulated by using software of ProCAST, from which the filling states and temperature changes of the die was shown animatedly.

利用ProCAST软件对铝合金压铸模具进行温度场和流场的耦合模拟，动态展示了模具的充型过程和模具稳定工作时的温度场变化。

Sanctuary有很详尽的描述:Down to the time of Louis XI, every town in France had its place of sanctuary, forming,in the deluge of penal laws and barbarous jurisdictions, that inundated the cities, islands, as it were, which rose above the level of human justice.

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Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。