查询词典 convolution equation

This paper, firstly, after a deep study of image mathematical models, sets up two kinds of image models namely Laplace partial differential equation model and biharmonic equation model and then obtains the eigenvectors of image by the methods of eigenfunction expansion and boundary recurrence.

本文首先较深入地研究了图象的数学描述，提出图象的Laplace偏微分方程和双调和方程两种模型，继而采用特征函数展开法和边界递推法分别求得图象的特征矢量。

This paper presents the boundary value problem solved as the biharmonic equation of upper plane and strip domain with Green functional method and it deals with the numerical solution of bihormonic equation, using the Matlab program calculation to realize the visualization of numeric solution.

用Green函数法求解了区域为上半平面和带形区域的双调和泊松方程的边值问题；以及探讨了双调和方程的数值解，并用Matlab编程计算实现了双调和方程数值解的可视化。

In this paper we study the method of interpolation by radial basis functions in H~k(k ≥ 1) and give some error estimates. By means of such interpolation with a special kind of radial basis function, we construct a basis in H~k(k ≥ 1). Combined with the Galerkin method, this theory can be applied to solve boundary value problems for elliptic partial differential equations (such as the third boundary value problem for Poisson equation and the corresponding problem for the biharmonic equation), and some numerical experiments are also given.

本文从求解偏微分方程的角度出发，在被逼近函数u属于一般的Sobolev空间H~k(k≥1)的情形，引入了一种径向基函数插值方法，并建立了相应的误差估计；再利用这种插值性质，从一类特殊径向基函数出发构造Sobolev空间的一组基，针对Poisson方程第三类边值问题和重调和方程类似边值问题，为用无网格算法求解偏微分方程边值问题建立了相应的理论，并通过算例来验证了这一算法。

FENG Kang, YU De-hao and some other scholars of our country are the first ones to create the natural boundary element method, and they have successfully studied the natural boundary reduction method for the boundary value problems of harmonic equation and biharmonic equation.

我国学者冯康、余德浩等首创自然边界元法，并已成功地研究了调和方程及双调和方程边值问题的自然边界归化方法。

Based on three dimensional transient heat conduction equation and elastic stress-strain equation, the temperature rise, distortion and equivalent stress distribution of white bijou window irradiated by high power annular beam (λ=1.315 μm) are simulated using a three dimensional finite element model.

基于三维瞬态热传导方程和弹性应力－应变方程，研究了空心环形强激光束（波长1.315μm）辐照下白宝石窗口温度、变形和应力的分布规律；研究了空心矩形强激光束（波长3.8μm）辐照下氟玻璃窗口温度、变形和应力的分布规律。

By using thenatural boundary element method which is set up by professor Feng Kang,the Neu-mann boundary problem of the harmonic equation on the half-upper plane is reducedto the Hadamard type singular integral equation,the integral region of which is un-bound,and then we turn it into corresponding bilinear form.

通过由冯康教授开创的自然边界元方法，将上半平面调和方程的Neumann边值问题归化为Hadamard型强奇异自然边界积分方程，并且此积分方程是无界域上的强奇异自然边界积分方程，然后将它转化为相应的变分形式。

By statistic analysis for modified isochronal testing data from many wells in gas field, the well testing tech of one point method to acquire empirical equation for calculating absolute open flow potential under different work systems and by use of binomial equation coefficient to count inertia r.

通过气田多口井修正等时试井数据进行统计分析，获得了一点法试井在不同生产时间下计算无阻流量的经验公式；利用气田修正等时试井的二项式方程系数B，计算惯性阻力系数并经过曲线回归处理获得了经验关系式，很好地解决了一点法试井计算产能方程的问题。

By analyzing the production test data,we get the index production equation,binomial production,production degression equation and the single well control reserve.

通过分析该区的试采井资料，得到了指数式产能方程、二项式产能方程及油井产能递减方程，同时计算了单井控制可采储量。

The dynamic analysis based classification method in the early stage of development is brought forward in the first time ,which consists of:firstly ,the material balance equation and the binomial production equation is solved together for those wells with stable production., to yield the anticipation under constant production ,and constant THP afterwards; Secondly, the R/S fractal method is used to demonstrate the declining tendency for those withdegressive production, and the GM(1,1) model is adopted for simulation and anticipation.

在此基础上进行了定产量／压力条件下的动态预测；②对产量递减井，采用分形理论中的R／S方法，对气井产量变化作了连续趋势性论证，在此基础上采用GM(1，1)模型对递减气井的生产动态进行快速拟合和预测。

Cultivated land quality was assessed by BP neural network in Dazu County, Chongqing. The assessment results showed that paddy lands were mainly of the second-grade and third-grade, while dry lands were mainly of the first-grade and second-grade. It illustrated the high natural quality of the cultivated land, but the natural quality only reflected land natural characteristics. Therefore, influence coefficient was used to modify natural quality index based on the investigation to households. At the same time, by using the household income as the value of cultivated land, the impact of natural quality and investment structure on the value were further discussed. The results showed that trinomial equation and binomial equation were fitted to reflect the relationship between natural quality and income.

该文采用BP神经网络模型对重庆市大足县耕地自然质量进行评价，发现研究区水田自然质量等级以二等地和三等地为主，旱地以一等地和二等地为主，耕地自然质量总体偏高；但耕地自然质量仅仅是耕地自然属性的反映，因此在基于对研究区农户行为调查的基础上，采用"影响力系数"对耕地自然质量进行修正，并将农户收益作为耕地质量货币化价值的表现，进一步讨论了耕地自然质量和农户投资结构对这种价值的影响以反映对耕地质量的影响。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。