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In this paper, we discuss parameterization of implicit blending algebraic surfaces of three quadratic surfaces.

本文研究了三个二次曲面的隐式光滑拼接代数曲面的参数化。

In this paper, we mainly study the alternating group A_4 actions on spin 4-manifolds. First we discuss the special action of A_4 on K3 surfaces of Fermat type, we compute the fixed points set of this action and some invariants of the group action, also we get some topological properties. Then we study the A_4 actions on general K3 surfaces and obtain some similar results.

本文主要是以交错群A_4在K3曲面上的作用为研究对象，从Fermat型K3曲面上的特殊的A_4作用出发，得到了Fermat型K3曲面上A_4作用的不动点，利用不动点集计算了群作用的一些不变量并得到了相关的拓扑性质，在此基础上进一步把其中的一些结果推广到一般情形下的同伦K3曲面上。

The mutual coherence and angular correlation function of scattered wave from two dimensional rough surfaces is derived with Integral Equation Model and then calculated for perfectly conducting rough surfaces, then the scattering of incident pulse wave with different shape is calculated and the shape of scattered pulse is presented.

采用积分方程法推导出了二维粗糙面的双频互相关和角相关函数，数值计算了具有不同粗糙度的良导体粗糙面的双频互相关函数，在此基础上分别计算了二维粗糙面对δ脉冲、Gaussian脉冲和矩形脉冲的散射，并给出了散射脉冲的波形。

Discusses algebraically and geometrically the properties of the ruled surfaces in the Euclidean three-space, especially, the principal normal surfaces on which there are some special curves, such as Mannheim curves, Bertrand curves and general helices.

在三维欧氏空间中，作为特殊曲线，Mannheim曲线、Bertrand曲线以及一般螺线具有良好的几何和代数性质。讨论了三维欧氏空间中特殊曲线的主法线曲面。

Nutlets dark brown, oblique subulate, trigonous-tetrahedral, 0.8-1 mm, smooth, glabrous, adaxial bottom surface slightly convex, somewhat smaller than 2 equal lateral surfaces; abaxial surfaces convex, ovate, acutely 3-ribbed; carpophore obscure, short.

小坚果暗褐色，斜的钻形，三棱四面体，0.8-1毫米，平滑，无毛，正面的底部表面有点凸，背面凸，卵形，尖锐3肋；果瓣柄阴暗，短。

In this paper, we used the nonlinear finite element method in contact theory to analyze contact force of vehicle separation surfaces, and stress of connectors, as well as rigidity of connecting surfaces between two cabins of a certain type of carrier rocket.

根据接触理论，运用非线性有限元方法对运载火箭的级间分离面进行了三种载荷工况作用下的接触分析。

Special solutions for the ring circular domain with crack surfaces acted on uniform compressive force, linear compressive force and linear shearing force are deduced in polar coordinate employed the eigenfunction expansion technique in the Hamiltonian system of elastic mechanics. Combined with the general solution for the above problems, the analytical solutions for crack tip fields with surfaces acted on the above three kinds of loads are obtained. These solutions offer theoretical basis to construct analytical elements for plastic analysis of crack.

从弹性力学哈密顿体系理论出发，利用平面弹性力学极坐标系下的本征向量展开求解，推导了环形圆形域裂纹边作用有均布压力、线性压力和均布剪切力情况下的特解，从而得到了裂纹表面作用有以上三种荷载情况下的裂纹尖端场的解析解，为进一步构造进行弹塑性裂纹分析的奇异解析元奠定了理论基础。

In order to model complex hair styles, such as curly hairs and wavy hairs, we first construct five types of surfaces and three curves: curved cylinder, curved circular frustum, curved prism, curved edged frustum, curved revolving paraboloid, and curved cylinder helix, curved circular frustum helix and curved revolving paraboloid helix. Then we give the expressions for points and normal vectors on these surfaces, suitable to composition.

为了构造复杂发型，例如卷发发型和波浪发型，我们首先构造了五种曲面和三种曲线：弯曲圆柱面、弯曲圆台面、弯曲棱柱面、弯曲棱台面和弯曲旋转抛物面，以及弯曲圆柱螺线、弯曲圆台螺线和弯曲旋转抛物螺线，并且给出了这些曲线曲面上适合于拼接的点和向量的表示方式。

Then it proves a necessary and sufficient condition for anamalgamation of two 3-manifolds with toms boundary with no new incompressible surfaces.Lastly, with the help of the condition and the theorem about the classification of allautomorphisms of a torus, it is proveed that there exists infinitely many 3-manifolds each ofwhich contains no incompressible surfaces besides a torus.

最后，文章给出了以环面作为边界的两个3维流形在作融合积时不产生新的不可压缩曲面的一个充分必要条件，并将这个结果与关于环面到自身的自同胚类的分类的结果相结合，证明了本文的一个核心结论，即存在无穷多个互不同胚的3维流形满足除了一个环面以外不含有其他的不可压缩曲面。

The results show that the most close-packed surface (111) orientation of FCC metals which have the lowest surface energies will grow preferentially, the surface energies for the all lattice surfaces increase linearly with increasing including angle between the surfaces and (111), which are consistent with the experimental and the linear muffin-tin-orbital-atomic-sphere-approximation results.

结果表明，FCC金属的密排面（111）的表面能最小，则该晶粒取向优先生长，与实验结果和第一原理的LMTO－ASA计算结果一致；各个晶面的表面能均随着其它晶面与（111）晶面的夹角的增长而呈线性增长关系，因此利用（111）面可推导出其他各面的表面能量。

Methods: Five patients with parkinsonism or dystonia were assigned to general anesthesia using an modified endotracheal tube.

本实验依照人体实验之相关规定进行，五位患有帕金森氏症或肌张力异常的病人接受神经立体定位手术。

If you can benefit from this book, it is our honour.

如果您能从本书获益，这将是我们的荣幸。