查询词典 hankel transformation

Starting from the basic governing equations of axisymmetric Biot's consolidation of saturated transversely isotropic soils, and taking Laplace transform with respect to time t and Hankel transform with respect to r, the first order ordinary differential equations in term of z are obtained.

从横观各向同性地基轴对称Biot固结的基本方程出发，通过关于t的Laplace变换和关于r的Hankel变换，得到关于z的一阶常微分方程组。

The algorithm of Fourier-Hankel transform was adopted to simulate the logging responses in directional wells. Based on the simulation, the effects of the anisotropy, dip angle and shoulder beds on the logging responses were studied.

主要研究定向井中考虑电阻率各向异性时的交流电测井响应计算问题，用到的数值模拟方法为快速Fourier Hankel变换；根据模拟响应结果，讨论了交流电测井的响应特征及影响因素。

First,the 3-d dynamic equations in cylindrical coordinate for transversely isotropic saturated soil were transformed into a group of governing differential equations with 1-order by the technique of Fourier expanding with respect to azimuth,and the state equation was established by Hankel integral transform method,furthermore the transfer matrixes within layered media were deriv...

首先，通过方位角的Fourier变换，将圆柱坐标系下横观各向同性饱和土的三维动力方程转化为一阶常微分方程组，基于径向Hankel变换，建立问题的状态方程，求解状态方程后得到传递矩阵；其次，利用传递矩阵，结合层状饱和地基的边界条件、排水条件及层间接触和连续条件，给出了任意简谐激振力作用下层状横观各向同性饱和地基动力响应的通解；然后，按混合边值问题建立层状饱和地基上弹性圆板非轴对称振动的对偶积分方程，并将对偶积分方程化为易于数值计算的第二类Fredholm积分方程，并给出了算例。

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。

In this paper,the area ratio of plane figure affine transformation in space is investigated,and the transformation equation of λ multiple of area is got , the area change of plane figure under affine transformation in space is studied, a important property of three axis ellipsoid is given and proved.

探讨了空间场的仿射变换下平面图形的面积比，推导出λ倍积变换方程式，进而探讨了空间场的仿射变换下平面图形面积的变化规律，给出并证明了三轴椭球体的一个重要性质。

They include:collinearity--an invariance under the projective transformation group;Parallelisminvariance under the affine transformation group;the direction of angles--aninvariance under the rotation transformation group.

这些几何不变性质包括共线性——在射影变换群下的不变性；平行性——在仿射变换群下的不变性；角的方向——在欧氏平移变换群下的不变性。

Thismethod adopted affine transformation model and a Lie derivative-based analytical algorithm.We introduced the process and characters in extracting information of biological visionsystem, studied the feasibility of the generalized Gabor function used as receptive fieldfunction in extracting information and analyzed affine transformation group and Liederivatives. Finally, we deduced the mathematical denotation for Lie derivatives, i.e. theinfinitesimal generator of the geometric distortion in affine transformation.

对生物视觉信息提取的过程及特点进行了介绍，其中主要研究了广义Gabor函数作为感受野函数提取初级视觉信息的可行性；对仿射变换作为外界图像信息在视觉成像系统上的投影模型的原理进行了初步讨论；对Lie变换群微分算子用于提取仿射变换不变量的分析方法作了剖析，并推导了该方法中关键部分——仿射变换Lie微分算子的具体表达式，也就是几何变形无限小微分算子的计算表达式，使下一步编程实现该方法成为可能。

The system can be used alone or be integrated into other GIS systems to enhance their map projection function. map projection ; map projective transformation ; analytical ordinal transformation ; analytical athwart transformation

在GIS应用系统中往往需要管理多种不同地图的地理数据，这些不同投影的数据在进行地理空间分析或信息复合时需要坐标同化，需要将不同投影的坐标统一到同一个坐标空间中，随着G

The company has invested more than 6,000 million for dust transformation after transformation, ESP collection efficiency from 98% to 99.7% and reduce soot emissions by 3,000 tons / year;# 8,# 9 boiler flue gas desulphurization as a technical transformation project circular economy demonstration projects; invest in million-odd on-line monitoring system installed in flue gas to form an improved real-time closed-loop management.

该公司已投资改造后，粉尘改造6000多万美元，从3000吨ESP收集效率98％至99.7％，减少烟尘排放量/年；＃8，＃9锅炉烟气脱硫技术改造作为循环经济示范项目项目；百万元投资多在线监测系统安装烟气形成一个完善的实时闭环管理。

With the views of the actual situations of industry of province, this article studies the theory of economy transformation on local coal resources, analyzes and compares some successful methods of the transformation in coal industry , And at first by means of the mathematics model, researches the development of economy transformation of Shanxi cities with coal resources and its major measures.

本文结合山西省的实际情况，通过对区域煤炭经济转型的理论研究，分析比较世界煤炭产业转型较为成功地区的一些具体做法，并通过简单的经济数学优化模型，初步探讨出山西煤炭资源型城市经济转型的发展方向和应采取的主要保障措施。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。