查询词典 concave curve

The most important idea is that over the complex numbers, an elliptic curve looks like a torus, and the points of finite order in the group of the curve have a very simple geometric description.

最重要的思想是复数域上的椭圆曲线是一个环面，曲线簇中的有限阶点有简单的几何描述。

In this paper, we introduce the algorithm of Schoof-Elkies-Atkin to compute the order of elliptic curves over finite fields. We give out a fast algorithm to compute the division polynomial f〓 and a primitive point of order 2〓. This paper also gives an improved algorithm in computing elliptic curve scalar multiplication. Using the method of complex multiplication, we find good elliptic curves for use in cryptosystems, and implemented ElGamal public-key scheme based on elliptic curves. As a co-product, we also realized the algorithm to determine primes using Goldwasser-Kilian's theorem. Lastly, the elliptic curve method of integer factorization is discussed. By making some improvement and through properly selected parameters, we successfully factored an integer of 55 digits, which is the product of two 28-digit primes.

本文介绍了计算有限域上椭圆曲线群的阶的Schoof-Elkies-Atkin算法，在具体处理算法过程中，我们给出了计算除多项式f〓的快速算法和寻找2〓阶本原点的快速算法；标量乘法是有关椭圆曲线算法中的最基本运算，本文对[Koe96]中的椭圆曲线标量乘法作了改进，提高了其运算速度；椭圆曲线的参数的选择直接影向到椭圆曲线密码体的安全性，文中利用复乘方法构造了具有良好密码特性的椭圆曲线，并实现了椭圆曲线上ElGamal公钥体制；文中还给出了利用Goldwasser-Kilian定理和椭圆曲线的复乘方法进行素数的确定判别算法；最后讨论了利用椭圆曲线分解整数的方法并进行了某些改进，在PC机上分解了两个28位素数之积的55位整数。

Moreover, the curve of mixing energies△G_m at different surface compressure vs molar fraction of nervonic acid appeared a positive deviation comparing to the ideal mixing surplus energies△G_M~1 curve, which indicated a phase separation phenomena in the mixed monolayer.

此外，在不同表面压下的混合自由能ΔG_m对神经酸摩尔分数曲线与理想的混合过剩自由能ΔG_M~1曲线相比出现相似的正偏差，说明这种混合单分子膜出现了相分离现象。

Two projective line pencils take shape curve of seeond order,which can help ua to determine all kinds of type of curve of second order what is in two concurrent affine planes.

对二射影对应线束形成二阶曲线的图形分析，可以帮助我们用作图法确定共面的二仿射平面场对应线束形成的二阶曲类

According to theory of the conjugate curves and the envelope curve,the corresponding mathematic model of workpiece-tooth-curve was established.

并根据共轭曲线及包络线理论建立对应工件齿廓曲线的数模型，由二者的数学模型建立完全接触面积的算法。

Input the equation and other related parameters of space curve of driving tine by the system interface, then the equation and other parameters of space curve of the conjugate driven tine could be given by automatic design and calculation in the system.

通过系统界面输入主动轮钩杆的空间曲线方程及其他有关参数，此系统可以自动设计计算得到与其共轭的从动轮钩杆的空间曲线方程及其他参数。

Facing some difficult design which exists in the cam contour curve of indexing motion mechanism against domestic company presently,the conjugate contour curve was viewed as the idea of design and the motion animation was used as the method of design.

针对目前国内企业在间歇运动机构凸轮轮廓曲线设计中所遇到的困难，采用共轭曲线的设计思想和运动模拟仿真的设计思路，并通过案例，介绍了凸轮轮廓曲线的设计方法。

This paper analyses the shape of Conjugate Curve of the profiee of pin tooth,develops the formula for computing the curvature of the comjugate curve, and completes the quantitative analysis of conjugate property of the circular arc and pin gears,This paper provides the theoretical foundation for the synthesis of circuler-arc and pin gear transmission.

本文分析了针齿齿廓的共轭曲线型式，推导了共轭曲线的曲率计算式；对圆弧针齿齿轮共轭性作了定量分析，为圆弧针齿传动的综合提供了理论依据。

Secondly, it analyses the line type between stator and rotor of PDM, gets its derivation bone line equation that satisfies the motor conjugate line type of theoretical sealing and the equation of curved surface, and determines its basic processing method and technology according to the line type characteristic of the spiral curve through analyzing some kinds of typical spiral curve processing methods.

其次，对螺杆钻具定子与转子进行线型分析，推导出其满足理论密封性的马达共轭线型的骨线方程和曲面方程，根据螺杆钻具定子内孔螺旋曲线的线型特点，在分析了几种典型的加工螺旋曲线加工方法的基础上，确定了其基本的加工方法和工艺。

Standard curve: which can be connected with straight rail into curve or circling monorail.

标准弯轨：可以与直轨连接组合成曲线或环形单轨输送线。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。