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In the first part,two methods calculating the coefficients of nilpotentclass normal forms are proposed.one is the iteration search method based onrepresentation theory of Li-algebra,and another is a new matrixrepresentation method based on the adjoint operator concepts,both are ableto be used to analyse the normal form problems with high orders and largedimensions efficiently.

在第一部分工作中,对于幂零类规范形的系数计算,分别提出了基于李代数表示论的迭代搜索的理论和方法以及基于共轭算子概念的新的矩阵表示的理论和方法,从而有效地解决了维数和阶数较高时的计算问题。

With aid of techniques of analytical continuation and conformal mapping, exact solutions are obtained for three typical problems concerning Eshelby's inclusion. The three problems are1 interaction between an arbitrarily shaped Eshelby inclusion and a circular inhomogeneity in transversely isotropic piezoelectric medium; 2 interaction between an arbitraily shaped Eshelby inclusion and an interface in anisotropic piezoelectric medium, the interface in our investigation may be a perfect interface, or a frictionless slipping interface , or a compliant electrode layer is embedded along the full interface of the bimaterials; 3 interaction between an arbitraily shaped Eshelby inclusion and an elliptical hole in anisotropic piezoelectric medium.

通过采用解析延拓和共形映射技术,获得了压电复合材料中有关Eshelby夹杂三个典型问题的精确弹性解答,即横观各向同性压电介质中任意形状的Eshelby夹杂与圆柱异相夹杂间相互作用;一般各向异性压电介质中任意形状的Eshelby夹杂与双压电材料所形成界面的相互作用,我们所考虑的界面包括理想界面、滑动界面以及柔性金属电极层增强界面;一般各向异性压电介质中任意形状的Eshelby夹杂与椭圆孔洞的相互作用。

The key to the formula derivation is solving an equation of conjugate-contact condition.

明确了盘形刀具齿形计算的关键是共轭接触条件方程的求解,从而进一步论述了圆弧齿轮盘形刀具共轭条件方程求解的新方法。

Proceed to the next step again go further inquire into definition of Grotzach domain function, and apply qualities of Grotzsch domain function to in K-quasiconformal mappings of on extended complex plane, the angles delitational estimation theorem is obtained.

根据Grotzsch的区域函数的定义,对其概念认真分析和探讨,进而再对Grotzsch的区域函数作了进一步的研究,并把Grotzsch的区域函数的性质应用于扩充复平面上的K-拟共形映射中,获得了一个角偏差估计的定理。

In this dissertation, a theorem to describe the relationship between the quotient group Aut/H and the set F_f is presented. And a way to find the elements of F_f that are conjugate to f is proposed. Then we prove that the quotient group Aut/H is isomorphic to S_3, the symmetric group of order 3, and H is a semidirect product group of GL_(m/2)(4) with the classical binary simplex code S_m in the linear case.

本文刻画了商群Aut/H与集合F_f的关系,给出了一个确定集合F_f中那些与f共轭的元素的方法,还证明了在线性情形下,商群Aut/H与3阶对称群S_3是同构的,而且H是GL_(m/2)(4)与经典单形码S_m的一个半直积,并且推关广了Calderbank等人的一个结果。

A key problem is: is it true that the supremum of the ratios of the moduli of quadrilaterals equals to the extremal maximal dilatation?In this chapter, firstly, for a class of quasisymmetric homeomorphisms with substantial boundary points, we apply a result of Chen Jixiu etc.

在第二章中,我们首先利用了文[16]的结果,研究了单位圆周上一类具有本质边界点的拟对称同胚,证明了它的极值拟共形延拓的最大伸缩商等于四边形模之比的上确界,改进了文[128]的有关结果。

Species in Ciconiiformes, 6 species in Gruiformse, 17 species in Anseriformes, 16 species in Charadriiformes, 1 species in Gaviiformes, 1 species in Podicipedifromse, 1 species in Phalacrocoraciformes, 6 species in Lariformes. The largest number of them came from Anseriformes and Lariformes .

本次调查共记录到56种水鸟,分别属于8目13科,其中鹳形目8种鹤形目6种,雁形目17种,形目16种,潜鸟目1种,鸊鷉目1种,鹈形目1种,鸥形目6种,数量最多的是鸥形目和雁形目的水鸟。

So the design method given in this paper avoids the blindness of the design of the antenna, decreases the waste of the antenna fabricates repeatedly. On the other hand, this method takes advantages of the geometrical theory and the nonlinear optimization, so it can be used in a wide region. This leads us a new road to design conformal array in the complex electromagnetic environment.

因此,应用本论文的设计方法,避免了天线设计的盲目性,减少了重复加工的浪费,同时由于整套设计方法利用了几何绕射理论和非线性规化的数学手段,因而具有广泛的通用性,为复杂电磁环境下共形阵的设计走出了一条新路。

The computation model of two-point contact (for cone-tread) and conformal contact (for worn-tread) resulting from wheel flange close to rail is firstly established in this paper. A detailed analysis is made of the wheel/rail contact force, contact status and wheel/rail stress distribution on the different action of tractive forces and transverse forces. We draw some important conclusions, one of which is that the locomotive adhesion performance will decrease with the increase of transverse forces between wheel and rail.

本文建立了车轮轮缘贴靠钢轨形成的轮轨两点接触和共形接触的计算模型,对不同的牵引力矩、不同的横向力作用下的轮轨接触力、接触状态和轮轨应力分布进行了详细的分析,得出了轮轨间横向力增大会降低机车粘着性能等一系列重要结论。

In this paper, using thermodynamic formalism for sub-additive potential defined in [4], upper bounds of Hausdorff dimension and box dimension of non-conformal repellers are obtained.

作者利用确定性的次可加拓扑压的变分原理,给出了非共形排斥子的Hausdorff维数的一个上界估计,证明了Barreira, Falconer, Zhang Yijing等人的几个不同形式的上界的估计是一致的,同时把他们的不同形式的上界统一成广义Bowen 方程的根。

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Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势,并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。

This dramatic range, steeper than the Himalayas, is the upturned rim of the eastern edge of Tibet, a plateau that has risen to 5 km in response to the slow but un stoppable collision of India with Asia that began about 55 million years ago and which continues unabated today.

这一引人注目的地域范围,比喜马拉雅山更加陡峭,是处于西藏东部边缘的朝上翻的边框地带。响应启始于约5500万年前的、缓慢的但却不可阻挡的印度与亚洲地壳板块碰撞,高原已上升至五千米,这种碰撞持续至今,毫无衰退。