查询词典 equation

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 the boundary integral formula and natural boundary integral equation for the boundary value problems of biharmonic equation , the non-symmetrical banding solutions to the circular plate under thermal boundary conditions are gained by the Fourier series and convolution formulae.

根据双调和方程边值问题的边界积分公式和自然边界积分方程，利用傅立叶级数及卷积的几个公式，求得了相应变温边界条件下非对称载荷圆板的弯曲解，从实践上证明了此方法的可行性。

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。

Assuming a condition cont-rol reserve calculation,combimatively solve the material balance equation of gas recovery and binomial gas recovery equation for gas well,calculate the production curve of gas well and match it with the actual production curve,finally determine the reserve and productivity parameter,this method doesn't need much pressure build-up data,and can calculate the c...

该方法的推导思路是：假设在某一控制储量条件下，联立求解气藏物质平衡方程式和气井二项式采气方程，计算气井采气曲线并将其与实际的采气曲线相匹配，最后确定储量、产能参数。该方法不需要较长的多次关井复压资料，在气藏受水驱影响较小时，还可计算一口探井或气藏试采早期所反映出的气井控制储量，在气藏生产中得到应用，计算结果较为可靠

We stopped by the old fashion ice cream parlor Manhattan Beach Creamery for some refreshment. The "No Shoes, No Shirt, No Problem" sign on the wall epitomizes the beach lifestyle.

我们去商店区的一家老式冰淇淋店坐坐，墙上挂著「没鞋，没上衣，没问题」的牌子完全捕捉了海滩生活的随性及风格。

"If therefore", argues Bellarmine we can offer our prayers and our satisfactions in behalf of those detained in purgatory, because we are members of the great body of Christ, why may not the Vicar of Christ apply to the same souls the superabundant satisfaction of Christ and his saints--of which he is the dispenser?

" "因此，如果"，认为贝拉明（德indulgentiis ，十四）"我们可以提供我们的祈祷和我们满意的代表那些被拘留在炼狱，因为我们是成员的伟大基督的奥体，为什麼可能不是牧师基督适用於同样的灵魂满意的过剩是耶稣和他的圣人-他是在配药？