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1)  linearized polynomial
线性化多项式
1.
Similar to the ways of constructing authentication codes on error correcting codes and linear polynomial, some new methods of constructing Cartesian authentication codes are put forward in this paper, based on rank distance codes and linearized polynomial.
类似于用纠错码和线性多项式构造认证码的方法 ,该文利用秩距离码和线性化多项式构造了一些新的Cartesian认证码 ,求出了这些 Cartesian认证码的基数 ,并给出了敌手模仿攻击成功和替换攻击成功的概率 。
2.
By introducing the concept of linearized polynomial, similar to error correcting codes, some kinds of maximum rank distance codes were constructed.
Gabidulin提出了秩距离码及最大秩距离码的理论 ,给出了判断码的最小秩距离的方法 ,并通过引进线性化多项式的概念 (类似于纠错码 )构造了一些最大秩距离码 ,并对这些最大秩距离码进行了分类 ,其中包括线性 q-循环码和最大秩距离 Reed- Solomon码 。
2)  linearized polynomials
线性化多项式
1.
In this paper,by analyzing the linearized polynomials,we obtain that rank distance q- cyclic codes are e- quivalent to maximum rank distance codes.
论文通过对线性化多项式的分析,得到了秩距离q-循环码等价于最大秩距离码。
3)  linear polynomial
线性多项式
1.
A directed threshold signature scheme based on linear polynomial
基于线性多项式的有向门限签名方案
4)  multilinear polynomial
多重线性多项式
1.
The additive subgroup generated by a multilinear polynomial;
一个多重线性多项式生成的可加子群
2.
Based on the general regular simplex interest region of ( q-1 ) dimension and multilinear polynomial model,An A optimal mixture design was suggested.
对于一般的q- 1 维正规单纯形利益区域和多重线性多项式模型, 给出了A最优的混料设计, A最优的混料设计的柱点是所有的正规单纯形的各类中心·令ri(i= 1 ,2 ,…,q) 表示每个第i 类中心点上的设计测度,给出了以rj/rq(j= 1 ,2 ,…,q- 1) 形式表示的A最优测度比,按此测度比给出的广义单纯形中心设计是A最优
3.
With respect to the multilinear polynomial model of q-1 degree on the standard simplex Sq-1 ,this paper discusses the A-optimal design for parameter estimation and gives an algorithm of A-optimal design.
对于正规单纯形S(q-1)上的q—1阶多重线性多项式模型,本文讨论了参数估计的 A-最优设计,给出一种 A-最优设计的算法,并且分别以q=3和4的A-最优设计为例来说明这种算法。
5)  generalized linear polynomial
广义线性多项式
1.
In this paper,the eigenvalue statistical analysis was performed for the horizontal deformation of Wanjiazhai dam,and a deformation statistical model is constructed with generalized linear polynomial stepwise regression.
对万家寨大坝坝体水平变形进行了特征值统计分析;用广义线性多项式逐步回归方法建立了变形统计模型。
2.
In this paper, the trend of thedeformation of the Wanjiazhai dam is analyzed by means of physical deducibility and graphology, and a deformation model isconstructed with generalized linear polynomial stepwise regression.
文中采用物理推断和图表法分析了万家寨大坝的变形趋势!用广义线性多项式逐步回归方法建立了变形模型,并对大坝工作状况进行了初步分析,为大坝安全运行提供了依据。
6)  differential polynomial
线性微分多项式
1.
We study whether the derivative f~((k)) in Frank-Weissenborn inequality can be replaced by a general linear differential polynomial a_0f+a_1f′+…+ a_kf~((k))or not, and have solvedit completely.
对Frank-Weissenborn不等式中导数f~((k))能否被替换成一般的线性微分多项式a_0f+a_1f′+…+a_kf~((k))进行了研究,并彻底解决了这一问题。
2.
It is studied whether the derivative f(k) in Hayman-Yang′s inequality can be replaced by a general linear differential polynomial a0f+a1f′+…+akf(k) or not, and is solved completely.
对Hayman-Yang不等式中导数f(k)能否被替换成一般的线性微分多项式a0f+a1f′+…+akf(k)进行了研究,并彻底解决了这一问题。
3.
It is studied whether the derivative f(k) in Hayman-Yang\'s inequality can be replaced by a general linear differential polynomial a0f+a1f′+…+akf(k) or not,and is solved completely.
主要研究线性微分多项式的值分布,建立了两个不等式,其结果是杨乐的两个定理的推广。
补充资料:多项式乘多项式法则
Image:1173836820929048.jpg
多项式乘多项式法则

先用一个多项式的每一项乘以另一个多项式的每一项,再把所得的积相加。

说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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