查询词典 separable polynomial

In this note the problem of counting the number of polynomial functions over finite commutative rings is discussed.

本文主要讨论了有限交换环上多项式函数的计数问题。

In this paper, we make investigations on polynomial functions and permutationpolynomials over finite commutative rings and several results are obtained.

本文主要讨论了有限交换环上的多项式函数和置换多项式，得到了一系列的结果。

However, this polynomial regression model suffered from thecolor metameric problem. Herewith, to minimize the metamerism, a model was developed based on the principal component analysis and back-propagation artificial neural network for scanner spectral characterization, which could reconstruct more accurate spectrum in comparison with the related international experimental results.

但是，扫描仪的多项式回归色度特征化模型存在同色异谱问题，因此本文提出了基于主元分析法和神经网络技术实现扫描仪颜色光谱特征化的算法模型，解决了同色异谱的问题，并且获得了比国际上同类研究更高的图像光谱重构精度。

In this paper, a new wide-neighborhood path-following algorithms for uniform P- function nonlinear complementary problems is presented, and its convergence and computational complexity is discussed. The results indicate that the algorithm is a polynomial-time one.

对一致P-函数非线性互补问题，提出了一种新的宽部域N(上标-下标∞路径跟踪算法，并讨论了该算法的收敛性及计算复杂性，分析结果表明，所给方法是一多项式时间算法。

It is proved that MADST belongs to NP complete class, thus can not be solved by some polynomial algorithm.

文中证明了MADST问题是NP完全问题，不能用有效的多项式算法求解。

As a kind of complete orthogonal polynomial system, U system has many good properties such as orthogonality and convergence.

作为一种可选定次数的完备正交多项式系统，U系统所定义的矩具有标准正交性、收敛性等优良性质。

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。

The second is to cut a mere 100 calories from your diet , which is the equivalent of a tablespoon of butter.

第二个就是从你的饮食中减少一百卡路里，只是相当于一大汤匙的黄油。

This is where the Rorschach test comes in.

现在，罗氏测试就出现了。