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We deal with the biharmonic equation and proved that under our assumptions, the week solution of the natural boundary value problem strongly converges (in H~2) to that of the first boundary value problem.

为克服这一困难，我们用具自然边界条件的边值问题(在二阶椭圆型方程情形为第三边值问题)去逼近相应的第一边值问题，并以重调和方程为例，证明了在一定条件下，其具自然边界条件的边值问题的弱解在H~2的意义下强收敛到相应的第一边值问题的弱解。

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。

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。

Some biographic texts are invented by the inspiration of a Hero of Making. Many of them are short of artistry characteristics, so biographic value prevails over their literature value.

一部分是在《钢铁是怎样炼成的》的激励下创作出"十七年"的自传性文本，但缺乏艺术性的特征，传记价值比文学价值更大些。

It is also argued that giving up the principle of bivalence, letting vague statements have a truth value between true and false or no truth value at all, will not help solving the vagueness problems, but, on the contrary, will be a hindrance to finding a solution.

本文也论述了，通过放弃二值原则以使得模糊陈述具有真和假之间的某个值或根本就没有真值的办法，也无助于解决模糊性问题，而且恰恰会造成相反的情况，即妨碍我们找到问题的解决之道。

On the invoice, the value of the blank diskette/CD-ROM/CD/DVD and the value of the data

如果是发运光盘的话，在发票上，单独光盘的价值和光盘所包含数据的价值必须分别表示出

3 To comply with 21.2, the maximum resistance value of a bleeder resistor shall be determined by the equation: in which: R is the resistance value in megohms; K is the resistor factor determined in Table 21.1; and C is the capacitor rating in microfarads.

21.4 满足条款21.2的要求，同时须满足非稳定电阻的功效，当比电容位于一个封闭的环形电路中，当此环不是开放式经移动或者开放式的开关，保险丝及相仿的装置。

Firstly, we give the definition of so-called value of edge information which is used to measure the quantity of marginal character in certain block. secondly, we used the information contained in the basic characteristic block to initialize the parameters of model and then detect the corner feature points to accurate the final value of parameters.

该方法先定义边缘特征量，逐点计算各像素点邻域的边缘信息量大小，并采用局部非极大值抑制及阈值法进行排除，最终确定基本特征块；先利用基本特征块的位置信息初步估计模型参数，再提取特征点对模型参数进行修正；最后，对图像进行拼接获得更大视野更高分辨率的拼接图。

Therefore it was not for any real value, but for a purely fictitious value that Judge Blount invited him to dinner.

因此布朗特法官清他吃饭并不是因为他任何真正的价值，而是因为一种完全虚幻的价值。

But because of the rationality of his premise and his contradictory attitude to science, his conclusion blow hot and cold between "value neutrality of science" and "value-ladened of science".

但是，由于其论证前提的合理性及对科学的矛盾态度，使其结论在"科学价值中立"与"科学价值负载"之间摇摆不定。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。