multivariate polynomial
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网络 多变元多项式; 多元多项式
双语例句
- Based on the pseudo-division algorithm for multivariate matrix polynomials, a new solving process of characteristic series for algebraic polynomial systems is given.
利用子空间关于矩阵的最小多项式研究了矩阵可广义对角化的充要条件，给出了矩阵可广义对角化的一种算法。 - Using the modulus of smoothness and K-functional, direct and inverse theorems of simultaneous approximation for a kind of multivariate trigonometric polynomial operators are established.
利用光滑模和K-泛函给出了一类多元三角多项式算子同时逼近的正逆定理。 - Results and problems for prime factorizations multivariate polynomial matrices
多变量多项式矩阵素分解的结果和问题 - A score fusion algorithm based on the multivariate polynomial model
基于多变量多项式模型的多模态生物特征分数层融合算法 - Problems Caused by Collinearity and Solution in the Multivariate Second-degree Polynomial Model s
共线性在多元二次多项式回归模型中的危害及其处理方法 - Multivariate Orthogonal Polynomial Regression Forecasting Model of Economical Effect on Winter Wheat Production
冬小麦生产经济收益的多元正交多项式回归预测模型 - In this paper, the XL algorithm on solving the low-degree multivariate polynomial equations in GF ( 2) is discussed and improved. Based on our simulation, to solve same problem, the complexity of improved XL is decreased greatly.
本文针对GF（2）上的多元低次方程系统对XL算法进行来讨论，提出了改进的XL算法，求解同样的问题，其计算量要比原XL算法明显降低。 - Implementation of Factorization of Multivariate Polynomial with Inaccurate Coefficients by MAPLE
系数不准确的多元多项式因式分解的MAPLE实现 - Constructive algebraic geometry methods were used to discuss multivariate interpolation problems for which the interpolation nodes are taken from one algebraic manifold and the related theories and algorithms for constructing minimal degree interpolation basis were presented. An estimation for the degree of interpolation polynomial was also presented.
运用构造性代数几何方法，研究插值节点取在一个代数流形上时的多元多项式插值问题，提出构造极小次数插值基的相关理论和算法，并给出了极小次数插值多项式的次数估计。 - Algorithm to Solve System of Low-Degree Multivariate Polynomial Equations and Its Cryptographic Application
多元低次方程系统求解算法及其密码应用研究 - A Note on Decomposition of Multivariate Polynomial over Rational Number Field
有理数域上多项式因子分解的一个注记 - In this paper the concept of reduplication modulus multivariate polynomial residue class rings has been set up, the method to study number theory is used, the composition of reduplication modulus duality polynomial residue class rings is discussed in detail.
本文提出了多元多项式重模剩余类环的概念，并将数论的研究方法推广到多元多项式重模剩余类环中，详细地讨论了二元多项式重模剩余类环的结构。 - A conclusion on rational root of one variable polynomial with integer coefficient is generalized and a method on multivariate polynomial factorization is put forward.
将一元整系数多项式有理根的一个结论在多元多项式上进行了推广，从而得到多元多项式因式分解的一种方法。 - We have build the multivariate orthogonal polynomial regression forecasting model of the economical effect on winter wheat production.
采用多元正交多项式回归方法建立了冬小麦生产经济收益预测的多元正交多项式回归模型。 - This paper presents a new method to construct multivariate polynomial interpolation based on the partition of concentric circles and parallel lines, and the interpolation is symmetrical and polynomial.
文中给出一种新的基于同心圆与平行直线剖分的插值方法，使用该方法构造的插值函数是保对称的，且是多项式函数； - Firstly the samples were fitted and forecast by using the ARMA model, the multivariate linear regression model, the polynomial regression model and the mean generating function model etc.
按照3种情形分别选取样本，并应用统计预报中的ARMA模型、多元线性回归模型、多项式回归模型和均值生成函数模型等作出预报。 - Against regression analysis for multivariate tests of the small sample, this paper puts forward a new algorithm that is self-selection partial least squares regression algorithm based on the quadratic polynomial model, and provides some necessary testing methods for it.
针对小样本多元试验的回归分析，则提出了基于二次多项式模型的自选择偏最小二乘回归算法，并给出了必要的检验方法。 - The multivariate public key cryptosystem is a new and fast public key cryptosystem, and its security assumption is based on the difficulty of solving a set of multivariate polynomial equations over a finite field.
多变量公钥密码是一种新型快速公钥密码，它的安全性是基于求解有限域上多元多项式方程组的困难性。 - The basic idea of the algebraic cryptanalysis is to express the block cipher as the large multivariate polynomial sys-tem of equations.
代数攻击的基本思想是将分组密码算表示为多变量多项式方程组，进而通过求解来恢复密钥。 - The frequently-used measures of modeling include multivariate linear model, second order response surface methodology and orthogonal polynomial model. They are all used with the hypothesis of homoscedasticity. Heteroscedasticity will danger accuracy of the model.
常用的多元线性模型、多元二阶响应模型、正交多项式模型都是在同方差的假设条件下进行建模，如果存在异方差，将影响模型的精度。 - NTL is a GNU library and the source code is open for us. It can operate large integer and univariate polynomials, unlucky, it only has the univariate polynomial factorization, no multivariate polynomial factorization.
NTL库是开放源代码的自由软件库，它提供了大整数的运算，一元多项式的运算等，遗憾的是，它只提供了一元多项式因式分解，没有提供多元多项式因式分解。