数的几何

It obtains that the transport operator A has no complex eigenvalue s,and the spectrum of the transport operator A consists of finite real isolated eigenvalues which have a finite algebraic multiplicity in trip Pas.

本文研究了板几何中一类具各向异性、连续能量、均匀介质的迁移算子的谱，得出了该算子A在带域Pas中无复本征值和由有限个具有限代数重数的实离散本征值组成等结果。

The new results in the study of the Euler characteristic by using the decomposition of gauge fields were described.

对近几年用几何代数方法建立的规范场可分解理论进行了详细的评述，并给出了应用它研究欧拉示性数的新结果。

In this paper chip shapes were recognized by using of radbas neural network. We put forward area ratio feature, Euler number feature, etc. geometry feature of chip shape image and thing of those features as inputting vector of neural network. Adopt radbas neural network and training the network using RLS.

研究了径向基函数神经网络在硬质合金刀具切屑形态图像识别中的应用，提出了面积比、欧拉数、分散度等硬质合金刀具切屑形态图像的几何特征，以上述特征作为神经网络的输入矢量，利用径向基函数网络，采用了递推最小二乘法训练该网络。

In 1993, Yen in her doctoral dissertation [45] gave the first a priori estimate of the number for hypergeometric identities, it is extremely large.

1993年，Yen在她的博士论文中第一次对超几何恒等式给出了这个项数的一个先验估计，但是非常大。

In this thesis, we focus on this question for q-hypergeometric identities.In 1993, Yen in her doctoral dissertation [45] gave the first a priori estimate of the number for hypergeometric identities, it is extremely large.

1993年，Yen在她的博士论文(来源：Ab6BCd0论2d文网www.abclunwen.com)中第一次对超几何恒等式给出了这个项数的一个先验估计，但是非常大。

When Zeilberger studied Sister Celine's Method in the late 1970s, he realized that one can prove a hypergeometric identity by checking a finite number of special cases. In the book "A=B" [37, p. 70], it is pointed that it is an interesting research question to ask how small we can make this a priori estimate of the number.

当Zeilberger在70年代后期研究Sister Celine方法的时候，他意识到一个超几何恒等式可以通过验证有限项来证明，在书《A=B》中进一步指出，研究这个项数的先验估计到底能达到多么小是一个有趣的问题。

When Zeilberger studied Sister Celine\'s Method in the late 1970s, he realized that one can prove a hypergeometric identity by checking a finite number of special cases. In the book "A=B" 37, p.

当Zeilberger在70年代后期研究Sister Celine方法的时候，他意识到一个超几何恒等式可以通过验证有限项来证明，在书《A=B》中进一步指出，研究这个项数的先验估计到底能达到多么小是一个有趣的问题。

The 3D topography of fractured surfaces was reconstructed and quantified by the means of SEM stereo pairs, image processing and analysis, and computer vision. It was shown that measured 3D roughness indexes Rs, Rq and Rmax have good positive relations to the crack propagation part of absorbed impact energy. Although fractal behavior had been checked out on the fractured surfaces, the fractal dimension was found nonsensitive to the fracture mode and mechanical properties. The geometric characteristics of fractal fractured surfaces should be quantified in fractal dimension together with absolute parameters.

利用扫描电镜立体对技术、图像处理与分析和计算机视觉方法对示波冲击断口形貌进行了三维重建和定量分析结果表明，断口三维粗糙度指数Rs，Rq和Rmax与示波冲击裂纹扩展功有很好的对应关系，显示了它们良好的应用前景断面虽然表现出分形行为，但分形维数是一个对断裂模式和性能不敏感参量对分形断口的几何特征描述应将分维和绝对尺度结合起来

Deep-ocean mining pipe is up to several thousands meters long and is of geometrical nonlinear characteristics of large displacement and small deformation.

深海采矿系统的扬矿管线长达数千米，呈现出大位移、小变形的几何非线性特性。

Deep-ocean mining pipe is up to several thousands meters long and is of geometrical non-linear characteristics of large displacement and small deformation.

摘 要：深海采矿系统的扬矿管线长达数千米，呈现出大位移、小变形的几何非线性特性。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。