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Thus, the tool shank not only easily changes the height of tool tip to align the center but also apply to traditional lathe to increase convenience and efficiency of the operation.

其构造亦可适用於一般车床刀座上使用,藉以提高工作效率及改善使用上的便利性,且更为安全。

We prove that in every induced locally compact 〓fuzzy topological groupthere exist at least one regular fuzzy set-valued Haar measure.We define the fuzzymeasurable group and prove that the fuzzy set-valued Haar measure in a fuzzymeasurable group is essentially unique.We also construct the fuzzy topologicalstructure on a group by the fuzzy set-valued measure such that make it a fuzzytopological group.

证明了诱导局部紧〓模糊拓扑群上存在模糊集值Haar测度,定义了模糊可测群,通过对模糊可测群的研究证明了诱导局部紧〓模糊拓扑群上的模糊集值Haar测度本质上的唯一性,并利用模糊可测群上的模糊集值测度构造了群上的模糊拓扑结构使之成为模糊拓扑群。

Because of the condition of 〓 for two neighbour parametricspline surfaces is too strong,here,instead of it,some simple and practicableconditions of 〓 resulted from the general theorem obtained by Prof.LiuDing Yuan in Chapter 1 were proved,and three 〓 triangular splinesurfaces schemes wre presented:one is piecewise cubic spline surface patcheshaving local 〓 and whole 〓 continuity based on the refined HCTtriangulation,another is the same degree spline surface patches but based onthe refined Powell-Sabin triangulation,the third is piecewise quartic splinesurface patches having local 〓 and whole 〓 continuity based on therefined P-S triangulation.

由于对参数曲面,一阶导数连续的要求较强,我们采用第一章从刘鼎元定理导出的简单实用的几何连续条件,讨论了基于HCT加细三角剖分和P-S加细三角剖分上的两种局部达一阶导数连续而整体有一阶几何连续的分片三次样条曲面构造算法,一种局部达二阶导数连续整体有一阶几何连续的分片四次样条曲面构造方法。

Based on the above results of macro expansion and microstructure studies, the limitation of the early ASR expansion mechanism has been noted, and the new ASR models for aggregates with various texture and structure have been put forward. The early expansion mechanism was suitable for interpreting the behavior of the high reactive aggregate with only one constituent.

在对结构构造特征不同的集料的膨胀行为和ASR反应特征的分析研究基础上,指出了早期以单一组分的高活性集料的实验为基础提出的ASR膨胀机理的局限性,提出了具有不同结构构造特征的活性集料ASR模型,拓展了对ASR膨胀机理的认识。

At present, our main result in this direction is that we have proved the topological charge of instantons in degenerate noncommutative spacetime to be an integer, i.e., to be exactly its instanton number, using ADHM construction; by the way, we have discussed the realization of conformal symmetry of the ordinaty instanton solutions on the instanton moduli space and obtained some primary result, again using ADHM construction.

目前该方面所取得的主要成果是利用ADHM构造证明了退化的非对易时空中瞬子的拓扑荷为整数,即严格等于其瞬子数;另外,顺带用ADHM构造对通常规范场论中瞬子解的共形对称性在参数空间上的实现进行了研究并取得了初步的成果。

The research results imply that the regional tectonic stress field has resulted in deformation and flow of upper mantle material with clockwise rotation,and make the alignment of upper mantle peridotite lattice parallel to the direction of material deformation. The deformation of the crust and upper mantle is possibly vertically coherent deformation.

研究表明青藏高原东北缘上地幔物质在区域构造应力场的作用下,发生了顺时针旋转的形变以至流动,使得上地幔中橄榄岩的晶格排列方向平行于物质形变或流动方向,上地幔变形和上覆地壳变形可能存在垂直连贯变形特征。

First,The properties of the spherical Bezier Curvesproposed by Ken Shoemake(Spherical Bezier curve of first kind)are listed,such asEndpoint property,Symmetry property,Invariant property under solid motion,Spherical convex hull property,etc.,and the fact that this kind of spherical BezierCurve is devoid of subdivision property is pointed out;Based on subdivision,theconcept of a new kind of spherical Bezier curve(Spherical Bezier curve of secondkind)is proposed.This kind of spherical Bezier curve is continuous differentiable.Furthermore,generalization of Bezier curve on more comprehensive manifolds isdiscussed.2Spherical Chaikin algorithm and general spherical corner-cuttingalgorithm.

首先,文中列举了Ken Shoemake提出的点点生成的球面Bezier曲线(第一类球面Bezier曲线)的性质,如端点性质、对称性质、运动不变性质、球面凸包性质等,并指出这种球面Bezier曲线没有剖分性质;基于细分,文中给出了一种新的球面Bezier曲线(第二类球面Bezier曲线)的构造方法,指出这种曲线是连续可微的;作为这些理论的应用,文中改进了Ken Shoemake提出的球面插值曲线构造方法;进一步,文中探讨了Bezier曲线在更广泛的流形上的推广方法。2球面Chaikin算法和一般的球面割角算法。

Testing in terrain relief, and the algorithms can optimize the structure of TIN nicely.(2) According to the smoothness of the terrain and correlation between adjacency data points, the paper studied the possibility of smooth surface constructing of DEM based on TIN. Then based on Tayor fomula, vertical normal vector, triangular decomposition, continuous and smooth of surface and so on, a new kind of interpolate model of DEM was proposed based on TIN.

2分析原始地形起伏变化的连续光滑性以及邻近数据点之间的相关性,探讨了基于TIN的DEM光滑曲面构造的可行性,并基于二元泰勒公式、三角面剖分、曲面的连续光滑性等,提出了一种TIN上的DEM表面光滑插值模型,并通过构造数学曲面进行精度评估,并对模型进行了可视化分析。

According to the geological property of the research area, we apply sequence indicator simulation method if the reservoir type is discrete variable. Sequence Gauss simulation method is used if the type of reservoir property is continuous variable. Structural model (single well model, fault model and bedding model) and property model are built. The 3D distributions of reservoir parameters are established based on structural model. Three advantage oil distribution of the oil field are pointed out through overlap of the reservoir parameters distributions.

根据研究区的地质特征,建模过程中的储层类型属于离散变量,选用序贯指示模拟方法;储层参数属于连续变量,则选用序贯高斯模拟方法,对储层分别实现构造建模(单井模型、断层模型和层面模型)和属性建模,在构造模型的基础上建立储层参数的三维分布,通过储层参数的分布的叠合研究,在该油田指明了三个有利油气分布区块

The results of the study indicate:(1) the stress, strain and velocity fields as well as the uplift rates of the model are consistent essentially with those of the prototype in nature;(2) the major driving force for intraplate tectonic deformation in central-eastern Asia results mainly from the compression of the Indian plate;(3) the existence of the RSBs, such as those of Tarim, Alxa, Ordos and Sichuan basin, is one of the basic origins for the development of large-scale compressional basins and the table-like uplift of the Qinghai-Tibet plateau;(4) The netlike plastic-flow in the lower lithosphere is faster than the displacement in the upper layer, controlling the tectonic stress and deformation fields in the upper crust;(5) the weakness layer distributed discontinuously in the middle crust influences the level of difference between the stress directions in the lower lithosphere and those in the seismogenic layer.

研究结果表明:(1)模型中的应力场、应变场、位移速度场和地表隆升速率,与自然条件下的实际状况基本相符;(2)中东亚板内构造变形的驱动力源主要来自印度板块的推挤作用;(3)塔里木、阿拉善、鄂尔多斯、四川盆地等相对稳定块体的存在是促成大型压性盆地形成和青藏高原平台式隆升的基本原因之一;(4)岩石圈下层的网状塑性流动超前于上层,控制上层的构造应力场和变形场;(5)中部地壳的非连续分布软弱层影响上、下层之间应力方向的差异程度。

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Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

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