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The frame of 28 or 29 is formed by two-dimensional highly undulated simple layers of (6,3) topology that catenate in a parallel fashion to give, for the first time, a three-dimensional overall network, instead that a usual two-dimensional one.

首次将二维高度起伏的具有(6， 3)拓扑结构的简单层，通过一种平行方式相互铰链，广延成一种三维聚合网络结构。

And then, we prove the coincidence relation between one skyline point of high dimensional space and the most mild points of one subset, thus enabling it to transform skyline computing in high dimensional space to figuring out the most mild points in all subsets.

为此，本文首先提出了高维数据集上"平和点集"的概念，它由各属性值中的最小值比数据集中其他点对应最小值"好"的那些点组成；然后，论证了"平和点集"中最大平和点和skyline点的对应关系，从而转化高维数据集上skyline计算为其任意子空间上的最大平和点计算。

Via the stochastic averaging method, the four-dimensional system is reduced to a two-dimensional one. Through the logarithmic polar transformation , and then Girsanov theorem and Feynmann-Kac formula, the backword differential operator is then obtained. By expanding the eigenfunctions as a Fourier cosine series, the approximate analytic expansion of the moment Lyapunov exponent is then obtained.

首先在经典二元机翼颤振方程加入随机激励，通过随机平均法，Girsanov定理和Feynmann-Kac公式得到关于矩Lyapunov指数的特征值问题，其次采用Fourier余弦级数对特征函数进行正交展开得到系统矩Lyapunov指数的近似解析式。

The inconsistencies of dimensional reduction and naive dimensional regularization in dealing withChern-Simons-matter theory are analyzed.The consistent dimensional regularization combiningwith higher covariant derivative regularization is adopted to consider Chern-Simons field theorycoupled to complex scalar and spinor field.All the local parts of one-loop two-point functionsand three-point functions are computed.Slavnov-Taylor identity is combined with these explicitcalculation results to give the one-loop local effective action.The finite gauge invariant quantumcorrection is shown and finite wave function renormalization constant for each field is defined.Thelocal part of one-loop three gauge field vertex is especially evaluated and it is verified that thereexists a renormalization choice compatible with BRST symmetry.

然后计算了所有的两点函数和三点函数单圈修正的定域部分，利用S-T恒等式给出了单圈定域有效作用量，定义了场的重正化常数，发现物质场和规范场都存在有限的规范不变的量子修正，并讨论了这些有限的规范不变的量子修正的物理意义，进而通过考察单圈三规范场顶角，表明存在与BRST对称性相容的重正化选择。5、在背景场方法的框架下，选择高阶协变导数正规化与维数正规化的杂化正规化方案计算了背景场两点函数的两圈量子修正，结果表明，标志紫外发散的极点项恰好抵消；进一步利用背景场方法中明显的规范对称性，证明背景场三点函数的两圈图贡献也是有限的。

On the other hand, Let M~n be an z-dimensional complete noncompactoriented submanifold with finite total curvature in an-dimensional simplyconnected space form F~ of constant curvature c. In this thesis, we provethat if M satisfies one of the following: n≥3, c=0 and integral from n=M H~n＜∞;n≥5, c=-1 and H＜1-2/n~(1/2); n≥3, c=1 and H is bounded, where Hdenotes the mean curvature of M. then the dimension of the space of L~2 harmonic1-forms on M is finite.

本文还证明：若具常曲率c的完备单连通空间型F~中具有有限全曲率的n维完备非紧可定向子流形M满足下面条件之一：n≥3，c=0且integral from n=M H~n＜∞；n≥5，c=-1且H＜1-2/n~(1/2；n≥3，c=1且H有界的，则M上L~2调和1-形式空间的维数是有限的，这里H为M的平均曲率。

The first 3D dimensional polymeric cluster 〓(8) has been synthesized though solid state reaction, the X-ray structural analysis showed that the three-dimensional framework of 8 has a very high degree of symmetry with three mirror planes and one four rotation axis in I4/mmm space group, and composed of two building blocks 〓 and 〓 bridged by S-Cu〓 and Cu〓-Cl bond.

化合物6非线性折射值n〓为-9.3×10〓m〓·w〓，显示自散焦性质，与我们以前观察到的现象相反，这可能是配体作用造成的；非线性吸收值α〓 1.23×10〓m·w〓，表现出较强的非线性吸收效应。

If our ant on the newspaper were a two-dimensional Flatlander, then folding his two-dimensional world through the third dimension would allow him to magically disappear from one location and appear in a different one.

如果我们的报纸上的蚂蚁也是个二维Flatlander，那将这个二维世界折成三维后将让这个蚂蚁神奇的从一个位置消失去到另一个位置去。

Yaoxian, and the three-dimensional alphabet tendency more evident, fruits, die, shells, hemicycle among the highlights in a three-dimensional people before, so that one can not but praise the designer rich imagination, can not but feel deeply Yaoxian, soup decoration effects have reached a new level.

腰线和花片的立体化倾向更明显，水果、海星、贝壳、半圆形等均立体的凸现在人们的面前，使人们不能不赞叹设计师的丰富想象，不能不深切地感受到腰线、花片的装饰效果达到了新的水平。

But from the point of view of the relativity theory, time as well as space is changed by passing from one c.s. to another, and the Lorentz transformation considers the transformation properties of the four-dimensional time-space continuum of our four-dimensional world of events.

但是从相对论的观点看来，时间和空间从一个坐标系过渡到另一个坐标系时都是要改变的，而洛伦兹转换就是考察事件的四维世界的四维时空连续区的转换性质的。

In this paper, we use this numerical method and adopt operator splitting method to simulate the conduction model of action potential in two-dimensional cardiac ventricle tissue,the conduction model of the action potential in two-dimensional cardiac ventricle tissue is denoted by one reaction-diffusion equation with a series of ODE describing ionic channels of cell, at the same time,we adopt the compact alternate direct implicit difference method to simulate that model,compar-ing these value results,get some conlusions.

本文中，我们利用摄动有限差分方法和算子分裂思想去模拟二维心室肌中动作电位的传导模型，该模型由一个描述细胞离子通道的常微分方程组和一个反应扩散方程组成。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。