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Lastly,Using the extension theory of〓-algebras founded and developed by Brown-Douglas-Fillmore in 70s,inparticular,using the homotopy invariance of the extensions and the indexformule of Toeplitz operator matrices,the paper characterized the automorphismgroup of the continuous function symbol Toeplitz 〓-algebra in terms of thetopological degrees of the continuous mappings on the n-dimensional sphere.

最后，本文利用Brown-Douglas-Fillmore在七十年代建立并发展起来的C*-代数扩张理论，尤其是扩张的同伦不变性，以及Toeplitz算子矩阵的指标公式，通过球面上连续映射的拓扑度，刻划了高维球面Hardy空间上连续符号Toeplitz 〓代数的自同构群。

Remove row and column' and 'put a big number' have been used for the first boundary;a continuous Regional Identification Function is used on the basis of non-variant nodal virtual flux method for the free surface boundary;Gauss formula is used to make the curved surface integral of the free surface boundary transformed as the difference between volumn integral and other curved surface integral to calculate the integral item on boundaries, which avoiding finding the position of free surface, while the continuous Regional Identification Function is applied to calculate volumn integral and surface integral;Crout and PCG method is used for solusion.

对于已知水头边界，采用"去行去列法"和"置大数法"进行处理；对于自由面穿过的单元，在固定网格节点虚流量法的基础上，引入连续的区域识别函数；对于非稳定渗流中自由面边界积分项，采用高斯公式将求自由面的面积分转化为求体积分与其他面积分之差，避免了求自由面的具体位置，同时在计算体积分和面积分时采用连续的区域识别函数；在解法上，采用直接解法和PCG法。

By using the partition theorem of unity, a continuous selection theorem for a multimap from a compact Hausdorff topological space to a finitely continuous topological spaces (simply, FC-spaces) without any convexity structure was obtained, and from which and Tychonoff fixed point theorem, a collectively fixed point theorem for a family of multimaps on the product space of compact FC-spaces and several collectively fixed point theorems for a family of multimaps on the product space of non-compact FC-spaces were given.

利用单位分解定理得到从紧的Hausdorff拓扑空间到没有任何凸结构的有限连续拓扑空间的集值映射的连续选择定理，并从该结果和Tychonoff不动点定理，得到紧的FC-空间的乘积空间上映射族的集族不动点定理和若干个非紧的FC-空间的乘积空间上的映射族的集族不动点定理，对文献中的相应结果进行了改进和一般化。

In some buildings it is unable to apply strengthening measurements on the upper surface of the reinforced concrete continuous beam. On the basic character of RC continuous beam moment redistribution, a new method was tried to increase the beam's resisting moment capacity. The Carbon Fiber Reinforced Plastic was bonded on beam bottom of the span-mid, the flexural capacity of span-mid was increased, and the plastic hinge joint at the beam end was formed.

在实际加固工程中无法对钢筋混凝土连续梁梁顶进行加固，因此在试验中采用CFRP来加固梁的跨中，增强其正其正截面的抗弯承载力，并利用梁支座处出现塑性铰，引起弯矩重分布的特性，来达到加固的目的。

We use the transitional probability of two states nonhomogeneous continuous time Markov chain to build the novel transitional model. When we extend the simple model to more complicated ones such as nonhomogeneous Poisson process, we can extend the homogeneous continuous time Markov chain to nonhomogeneous one at the same time.

我们用二状态非齐性连续时间马可夫鍊的转移机率来建构新的递移模型，当将简单的模型扩展到复杂的模型，例如N服从非齐性不瓦松过程，同时，可以从齐一性连续时间马可夫鍊延伸到非齐性连续时间马可夫鍊。

The isoform hMAM cDNA consisting of 270 bp, was different from the wild type one of 279 bp due to nine continuous base pair missing. Therefore the translational product of the isoform was seen to be lack of three continuous amino acid (-79~-81, VFM) compared with that of the wild type. The homology of the wild type and the isoform are testified to be 96% in both DNA and amino acid sequences.

乳腺癌组织和乳腺癌细胞株中发现两种hMAM cDNA亚型：hMAM和hMAM，长度分别为279和270bp，二者相差9个连续碱基，其翻译产物相差3个连续氨基酸残基(-79～-81，VFM)，二者基因和氨基酸序列匹配度均为96%。cDNA片段分别插入原核表达质粒pGEX-KG，构建的质粒命名为pGEX-KG/hMAM和pGEX-KG/hMAM。

According to [2], we know that if X is a reflexive Banach space and T is a strongly continuous semigroup on X with the infinitesimal generator A, then the adjoint semigroup T~* is also a strongly continuous semigroup on X* and its infinitesimal generator is A~*, the ajoint operator of A.

由文献[2]我们知道，如果X是一自反Banach空间，那么X上强连续半群T的对偶半群T~*也是X~*上的强连续半群，并且其无穷小生成元为半群T的无穷小生成元的对偶。

Secondly, we discuss generalizedderivable mappings at unit and Jordan derivable mappings at unit on Von Neumannalgebra, and we prove that every norm continuous linear mapping generalized deriv- able at unit is a generalized inner derivation, every norm continuous linear mappingJordan derivable at unit is a inner derivation.

其次对Von Neumann代数M上的在单位广义可导和在单位Jordan可导的线性咉射进行了讨论，证明了在单位广义可导的范数连续的线性映射是M上的广义内导子，在单位Jordan可导的范数连续的线性映射是M上的内导子。

In order to evaluate the restoration effect of cropping systems on continuous cropping soil, treatments of nitrogen-catching crop, rotation, and intercrop were adapted to study soil fertility and microbial indexes of the soil from an 8-year continuous cropping field using pot experiments. Fallow was used as a control. Cucumber yield were recorded.

为了评价栽培制度对连作障碍土壤的修复效果，采用盆栽方式，设置休闲、轮作、间作等处理，以生产中常用的栽培制度即夏季休闲的连作制度为对照，研究各处理对连作8年黄瓜的温室土壤生物修复效果及对后茬黄瓜产量的影响。

The continuous dialysis realizes the continuous production of the calcium phosphate nanometer biomaterial, avoids fussy intermittent operations and reduces the production cost.

连续透析法实现了纳米钙磷生物材料的连续化生产，避免了繁琐的间歇式操作，降低了生产成本。

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。