查询词典 polynomial

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。

C The profile is of berm, which the section below the berm is concave. Using the polynomial curve to fit the shapes of the mean profile, the exponential equation of the equilibrium beach profile in South China was established, which has a general form: y=〓+ C. 2 It's obvious for the beach processes to vary with seasons. The main variation processes of beach profiles are composed of four kinds of mode which are the equilibrium profile mode, the berm mode, the foreshore mode and the bar mode. 3 Beach systems of the arc-shaped coast in South China exhibit an wide range of morphologic and dynamic variability with respect to both time and local environment.

此外，采用多项式曲线对平均剖面进行拟合，建立了华南海滩均衡剖面的指数公式y=〓C+。2）海滩具有较明显的季节性变化，海滩剖面的变化模式一般可分为均衡剖面模式、滩肩模式、前滨模式及其沙坝模式等4种。3）海滩不同岸段的动力地貌状态在同一空间上的分布具有一定的连续性，在时间上具有一定的更替顺序。

In this paper,a optimization method of naval gun weapon system performance is presented based on the polynomial mode of power index method and the solution s concision geometry programming method.

简要介绍了评价舰炮武器系统性能的幂指数法和一种特殊的非线性规划方法——几何规划方法。

By using projective metric, in this paper, a new kind of condition number is defined for homogeneous polynomial eigenvalue problems.

这两种条件数都有各自的应用范围。

For the case that the eigenstrains is in the form of linear function of Cartesian coordinates of the points of the inhomogeneity, the solution for the stress and strain fields is analytically derived based on the polynomial conservation theorem, the complex function method and conformal transformation together with the principle of minimum strain energy.

对于夹杂的特征应变为线性分布的情况，基于多项式保守定理，运用复解析函数法、保角变换和最小势能原理，获得了问题的封闭形式的解析解。

Is the constant term of the polynomial.

6是多项式中的常数项。

All the numbers: 4,-5 and 6 are called the constants in the polynomial.

所有的数字： 4，-5及6都被称为多项式中的常数。

According to the disparate color area differed by the color subsection,the Sinc function can be approximated by the Salzer continued fraction and the extended Newton interpolation polynomial respectively.

由于采用颜色分段的处理方法，根据不同类型的颜色区域，分别采用Salzer连分式和扩展的Newton多项式逼近Sinc函数。

By academic analyzing, it is concluded that two order discrete paraxial approximation formula of the paper, multiple transmitting formula and polynomial extrapolation formula are the different forms of continuous paraxial approximation formula, so they are with nearly equivalent precision and stability and with equivalent applicability and limitation.

据此文献[3]将傍轴近似公式归结为一类从特定的无限域模型导出的人工边界条件，并且提出了新的从一般无限域模型导出的具有普适性的、称为"多次透射公式"的局部人工边界条件。那么，是否也可以从一般无限域模型导出具有普适性的傍轴近似公式呢？

Both continuous paraxial approximation formula and two order discrete paraxial approximation formula are developed for one way wave motion transmitting apparently along normal direction based on kinematics model and local polynomial interpolation function.

引言 Clayton和Engquist在1977年和1980年提出的傍轴近似公式[1，2]是迄今为止最具代表性的局部人工边界条件之一。但是上述傍轴近似公式是从特定的波动微分方程出发推导建立的，因此其普适性受到限制。

As a dominant party,CPC government should play a guardian,supervisee and guarantee role to overcome all the difficulties in the development of charitable cause and bring it into full play in the establishment of harmonious society on policies and regulations basis.

在中国共产党的文献中第一次把发展慈善事业提到&最广泛最充分地调动一切积极因素，不断提高构建社会主义和谐社会的能力&的高度来认识。近年来，社会学界对慈善事业的理论专著发表较多，有鉴于此，笔者不揣浅陋，谈谈自己的认识和见解。

Flow through the land, the land of the scale of operation allows the effectiveness of the land may be raised.

通过土地的流转，土地的规模经营可以让土地的效益得到提升。