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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。

Based on the process models and the desired closed-loop system responses, the analytical expressions of the tuning parameters of the primary and secondary controllers were proposed by means of first order Páde approximation, and then the digital PID controllers were obtained by using bilinear transformation method.

基于过程模型和期望闭环系统响应整定PID参数，采用一阶Páde近似纯迟延环节，以解析的形式推导出了主控制器和副控制器整定参数的表达式，并采用双线性变换法得到离散时间PID控制器。

This thesis firstly makes an analysis of the duet in Carmen by means of the distribution of the duet and the development of the story, the unique management of the duet by Bizet, and the portray of the figure.

本文对歌剧《卡门》的重唱进行本体分析，即重唱在歌剧中的布局与剧情发展、比才在重唱创作上的特殊处理以及重唱对人物形象的塑造方面作了详细分析。

Experiments on decalcification and activation of osteoinductive ability, comparison between the osteogenesis of demineralized bone matrix in orthotopic and in heterotopic sites, and correlation between immune response to allograft of bone and osteoinductive activity of the graft, were reported in this paper. 1. Syngeneic deminerolized bone matrix and the mixture of DBM with bone ash or acid-soluble protein extracted from demineralization was implanted into muscle pouch of mice, subsequently, the inhibition of DBM osteoinduction by bone ash or acid-soluble protein was demonstrated with histological and by means of alkaline phosphatase assay.

本文对脱钙处理使骨诱导活性表达的作用、脱钙骨基质植入不同部位的成骨表现，以及同种异体骨移植引发的免疫反应与骨诱导活性的内在关系三方面进行了研究：（1）在小鼠肌肉植入同系脱钙骨基质及其与脱钙所去除的骨矿盐和酸溶性蛋白混合物，碱性磷酸酶和组织学检查表明：骨矿盐和酸溶性蛋白具有抑制脱钙骨基质骨诱导活性的作用。

By means of experiments, this dissertation studies the change law and influence of breakwater's physics and dynamic characteristics, which are caused by the changes of the stone's weight distribution.

通过试验，研究和分析堤心石重量级配变化对防波堤物理与动力特性的影响及其变化规律。

In such circuits control of the output current is required and this is sometimes achieved by replacing some of the diodes in bridge rectifier with thyristor s, whose voltage output can be regulated by means of phase fired controllers .

在这种电路的输出电流控制是需要和这有时通过一些在桥式整流二极管的替换的晶闸管，可以触发相位控制器的方式规管其电压输出。

The wall of the burning chamber was pitted at the beginning then gradually burnt through.By means of the Bunsen burner,tubular furnace and XRD,SEM,EDS,this special type of high-temperabure destruction was studied.It was found that the phenomenon is resulted from the combined action of CO and lower hydrocarbon on Ni-Cr alloy.Firstly,Ni-Cr alloy is carbonized and selectively oxidized by CO to produce Cr2C,Cr3C2 and Ni-Cr2O3,while the capillary cracks in the surface layer are formed simultaneously.

作者利用几种现代手段和试验方法，对这一燃烧破坏现象进行了系统地模拟研究，发现这是CO和低分子烃在高温下对合金共同作用的结果：第一步CO作用使合金表层发生氧化和碳化，造成裂隙；第二步低分子烃扩散进裂隙并在Ni-Cr2O3微粒的催化下，裂解生在石墨炭并包复在Ni-Cr2O3微粒周围，体积增大。

It is usually necessary to shunt, or by-pass, the normal channels by means of a tube passed into one of the spaces in the brain.

这通常是必要的分流，或由通，正常渠道的手段管通过成为其中的位在大脑中。

By means of hydrothermal method, high quality calcium stearate were cleanly synthesized by the reaction of calcium hydroxide with stearic acid in water.

以硬脂酸和氢氧化钙为原料，采用水热法合成出了色泽好的高质量硬脂酸钙。

The inhibiting influenza A virus effect of catechu extract was observed by means of chick-embryo culture , and the inhibitory activity of catechu extract on influenza A virus in vitro was observed by the hemagglutination inhibition test.

用狗肾传代MDCK细胞培养法观察儿茶提取物抑制甲型流感病毒的致细胞病变作用；用鸡胚培养法观察儿茶提取物抑制甲型流感病毒增生的作用；用红细胞凝集试验观察儿茶提取物体外直接抑制甲型流感病毒的作用。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。