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These planation surfaces are comparable with the summit planation surfaces of the mountains on the Tibetan Plateau and in the Beitai episode in Northern China, probably implying that they were united peneplain during the end of the Oligocene Epoch, although they are far from each other and are even located in different plates and tectonic systems.

说明中国大陆各部虽相距遥远,甚至处于不同的板块和构造休系,但在渐新世末却处于统一的准平原状态,大范围长尺度造山运动的脉搏似乎是一致的。

In addition, a few of scientific questionson planation surfaces and uplifting of Tibet Plateau are also discussed in this paper, such as the function of freezing planation in the plateau formation and evolution, the magnitudes of plateau surface elevation increase and of tectonic uplifting in the plateau, ragional differences of plateau surfaces , and the giant ice caps

此外,还延伸联想到青藏高原夷平面和高原隆升的一些科学问题,如冻融侵蚀在高原地貌形成和演化中的作用,地面隆升幅度与地壳构造上升幅度,高原面高度的区域差异和大冰盖问题等。

In this paper, we give explicit constructions and formulations for harmonic maps from R1,1 into classical real semisimple Lie groups by using Darboux transformation. We also discuss pluriharmonic maps from complex manifoldsinto symmetric spaces and Willmore surfaces in Sn. By converting geometric conditions satisfied by these maps into integrable systems, and using the the-ory of integrable systems, we give explicit constructions for pluriharmonic maps from complex manifolds into symmetric spaces and the Willmore surfaces in Sn respectively. Finally, we classify hypersurfaces in Sn+1 with three distinct prin-ciple curvatures and zero Mobius form using the theory of Mobius geometry. The paper consists of four chapters.

本文首先利用Darboux变换的方法给出了从Lorentz平面R~(1,1)到经典实半单Lie群的调和映照的具体构造,并给出其显式表示;其次研究了复流形到对称空间的多重调和映照及球空间S~n中Willmore曲面,将这些映照所满足的几何条件转化为可积系统,然后利用可积系统理论分别给出复流形到对称空间的多重调和映照与S~n中Willmore曲面的构造;最后利用Mōbius几何的理论给出S~(n+1)中具有三个不同主曲率且Mōbius形式为零的超曲面的分类。

A theoretical study of potential energy of solid surfaces and a deeply discussing of the influence of the adsorbed gases in the solid surfaces to the process of absorption and desorption were given.

从分子之间的作用力和分子之间相互作用的能量的角度对真空科学中表面吸附的位势理论进行了理论研究,并深入地探讨了固体表面吸附的气体分子层对气体的吸附与脱附的影响。

To solve the problems in adjusting and controlling shapes of developable surfaces, following the important idea of duality between points and planes in 3D projective space, two direct explicit and efficient methods of computer aided design for developable surfaces are proposed.

为了解决工程中可展曲面位置与形状难以调整和控制的问题,基于3D射影空间中点和平面间的对偶性这一重要思想,提出了2种直接、简单有效的可展曲面设计新方法。

Quadric surfaces are the simplest curved surfaces and are widely used in CAD/CAM or solid modeling.

二次曲面作为表示形式最简单的一种曲面,在CAD/CAM以及立体造型中有非常广泛的应用。

The three side surfaces of that sphenoid solid are parts of the surfaces of the mentioned cones and, as a result, the said sphenoid solid can rotate in the internal surface of the corresponding cone, when the corresponding cone axis or the corresponding semi - axis of the three - dimensional rectangular Cartesian coordinate system rotates.

上述楔形体的三个侧面是前面提到的锥形的组成部分,于是,当相应的锥形轴线或者相应的三维直角坐标系的半轴转动的时候,上述楔形体可以在其锥形的内表面转动。

Regular concave surface profiles are adopted for many friction surfaces, but the surfaces are seldom studied using lubrication theory.

摘 要:规则凹坑表面形貌在许多摩擦副中被采用,但目前为止仍缺乏理论指导。

By using techniques from robust statistics, we obtain the approximations of the underlying surfaces. This leads to a conceptually good local patch with precise geometry properties, and as a result, the influence of noises is reduced. In addition, we also present a diffusion method to smooth the geometry properties, including principle curvatures and Frenet frame. The method ensures that the surfaces are smooth in the curvature space, and maintain the details, features and optimize the normals. The results show that, even in a high level noise situation, our algorithm can remove noise effectively, and at the same time keep the details of the model.

与传统的双边滤波去噪算法不同,该算法通过引入鲁棒统计理论获得模型表面较为准确的几何属性;进而在曲率空间中对包含主曲率和Frenet标架的表面几何属性进行各向异性的滤波,既有利于保持模型的细节,又能保证曲面的光滑性;与此同时,优化各个顶点的法向;最后在优化后的几何属性引导下,在几何空间中进行高阶双边滤波去噪。

When the saturated vapor of pure R11 or R113 was condensed on the PF tubes under free convection conditions, the HTCs (based on the outside area of the base tube, the same be1ow) were 14 to 20 times those of the smooth tube because the condensate surface tension made the condensate film on fin surfaces thin and the rough saw-toothed fin surfaces disturbed the boundary layer in the condeneate film.

纯R11、R113的饱和蒸气在大空间花瓣形翅片管上冷凝时,由于凝液的表面张力将翅片表面上的液膜拉薄以及粗糙的锯齿形的翅片表面扰乱了凝液膜内的流动边界层,传热膜系数(以坯管外表面积为基准,下同)是光滑管的14—20倍。

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