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In order to help for evaluating properties of soil in interaction more precisely, the paper applies elastic theory solution on different modulus in tension and compression for vertical load into semi-infinite elastic body. Through quoting Heaviside function, the solution of elasticity theory with different modulus in tension and compression is established founded on the solution of elasticity theory for the material incapable in tension and Mindlinsolution for equal modulus.

为使地基土在共同作用中的行为特征评价更为合理，本文应用了半空间问题竖向荷载下地基土的拉压模量不同弹性理论解，该理论解是通过引入Heaviside函数，利用不能承受拉应力材料的弹性理论解并结合拉压模量相等的经典Mindlin解而获得。

The rational points of an elliptic curve forms an additive group. The discrete logarithm problem of this group is called elliptic curve discrete logarithm problem.

椭圆曲线上的有理点会形成一个加法群，此加法群上的离散对数问题称为椭圆曲线离散对数问题(elliptic curve discrete logarithm problem)。

By analyzing the relations of two adjacent waves in the process of locomotion and doing an approximation of the serpenoid curve, the motion function of relative angles between two adjacent links and the absolute angles between each link and the baseline on the traveling curve are built.

通过对蠕动运动过程中相邻2个波形的分析和对serpenoid曲线的近似，建立了运动波形上各相邻连杆间的相对角度运动方程和各连杆与基线之间的绝对角度运动方程。

3D reconstruction is one of the most challenging problems in computer vision. This project uses CAD model to increase the accuracy,robustness and speed of 3D reconstruction and five different works are conducted: 1 research on space curve 3D reconstruction method based on high curvature point nad turning point; 2 free-form curve 3D reconstruction based on B-spline and BURBS; 3 Active surface affine reconstruction based on single frame; 4 Matching and reconstruction of 3D sparse points; Data fitting method based on the iteration of nearest point.

三维重建是计算机视觉中公认的难题，本项目使用CAD模型来提高三维重建的精度、稳健性和速度的思路，围绕着空间曲线和曲面的三维重建和匹配开展了以下五个方面的研究：1）基于高曲率点和拐点分割的空间曲线三维重建方法研究；2）基于B样条和NURBS表示的空间自由曲线三维重建方法研究；3）基于单帧图像的有源曲面仿射重建；4）三维离散数据的匹配与重建；5）基于迭代最近点的数据拟合方法。

Elliptic Curve Cryptosystem is a kind of public-key cryptosystem based on algebraic curve.

椭圆曲线密码体制是一种基于代数曲线的公钥密码体制。

Regularity is an important algebraic property of parametric curve and surface, which depends on the parameterization of parametric curve and surface.

正则性是参数曲线曲面的重要代数性质，是由参数曲线曲面的参数化决定的。

This paper first summarizes recent researches on this topic, and then proposes some methods for curve modeling with cubic algebraic curve based on pure geometric constraints that involve control points, tangent directions and curvatures.

然后提出了一种基于几何约束的三次代数曲线的插值方法，该方法完全通过几何量如控制顶点、切线和曲率来控制三次代数曲线的形状，使得对三次代数曲线的编辑与对三次 B-样条曲线的编辑一样灵活方便。

Applying multivariate spline theory which was established by Wang RenHong in ( [1] , [2] ), the Nother theorem of algebraic curve [71] is generalized to the piecewise algebraic curve.

1：利用王仁宏在文献（[1]，[2]）中关于多元样条函数的基本理论，本文将代数曲线的Nother定理（[71]）推广到分片代数曲线上，给出了剖分为〓，和星形剖分上的C〓分片Nother型定理。

It was found that the nonlinear current-voltage curve is the intrinsic property of WO〓 polycrystalline ceramic, and the curve is asymmetrical with very different behavior under applied direct and alternating voltage.

我们发现，非线性是WO〓多晶陶瓷的本征性质，伏安特性曲线是不对称的，而且交直流行为完全不同。

The spiral curve structure can be used in slow-wave systems. Theoretically an analytic description for spiral curve slow-wave systems can be achieved after much simplification and approximation.

螺旋线结构就可以作为慢波系统；理论上，经过很多的简化和近似，可以得到关于螺旋线慢波系统性能的解析描述。

Anna: No, I've got a hangover.

不是，我昨晚宿醉了。

We head into the mountains in Su's new Land Cruiser, stop for lunch at a scenic restaurant and then hang around drinking beer and eating fruit as two of his employees attempt to lure the birds with a tape recording of the fowl's mating call.

我们坐上苏的巡逻车向山顶出发，在一家风景优美的餐馆吃了中饭。然后我们喝着啤酒吃着水果四处逛。