多项式次数

The proposed algorithm use the related deduction of division with reminder of polynomials and the key equation is solved by column transformation of matrix. Then the formula of quotient and reminder can be got quickly which can reduce the times of iterative operation.

该算法利用多项式带余除法的相关推论，通过矩阵的列变换来求解关键方程，这样可以快速地得到商式和余式，从而可以减少迭代运算的次数。

The algorithm applied the characteristic of the small second item's degree of irreducible polynomial in characteristic 2 finite field.

该算法利用了特征为2的有限域中的不可约多项式第二项次数较小的特点。

It used chebyshev polynomials to calculate sine function for improving its accuracy. It adopted optimized null vector distribution strategy to decrease switching times and switching current.

其采用Chebyshev多项式计算三角函数，提高了运算精度；采用零矢量象限间交错分布的优化策略，以减小开关次数，降低开关电流。

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。

The highest degree of all the trem in a polynomial is called the degree of the polynomial.

一个多项式的次数就是其中最大的单项式的次数。

To factor a polynomial of degree n over Fq, the number of arithmetic operations in Fg isO(n1.8010111405662083logq) or On2+o(1 +n1+o(1) log q or On (1,3/4,3/4+ n1+o(1) logq, of which the first one is less by 0. 00433886 than the previous record.

具体地说，为了分解有限域F~q上一个次数为n的多项式，该算法的时间开销为 On~(1.8010111405662083logq或On~(2+o(1)+n~1+o(1logq或On~(ω(1，3/4，3/4)+n~I+o(1logq个F_q中算术运算，其中第一个开销的指数比已知的最好结果降低了

This paper presents a method of general Radon transform with2-order polynomial.

本文介绍了次数为"2"的多项式Radon变换。

Theorem 2.4.2 Let F be a family of holomorphic functions in a domain D and k≥2 be a positive integer, K be a positive number and letα be a polynomial of degree p.

定理2.4.2设F为区域D内的一个全纯函数族，k (≥2)是一正整数，α是一次数为p≥1的多项式。

By using the techniques of an explicit criterion to determine the number of real roots of a univariate polynomial in ( [13] , [73] ); B-net form of bivariate splines function; discriminant sequence of polynomial (cf. [13] , [73] ) and the number of sign changes in the sequence of coefficients of the highest degree terms of sturm sequence, this paper determines the number of real intersection points two piecewise algebraic curves whose common points are finite.

3：利用杨路，张景中，侯晓荣在文献（[13]，[73]）中关于一元多项式实根的显式判准，以及二元样条函数的B-网形式，多项式的判别序列和Sturm序列的最高次数项系数序列的变号数，本文给出了两个分片代数曲线的实交点数的计算公式。

By using matrix norm, matrix singular value, non-negative matrix theory, the regions of numaerical range and spectum of operator polynomial and the regularity of operator linear pencil are obtained.

8应用矩阵范数理论、矩阵的奇异值理论、非负矩阵的理论、友矩阵、算子的谱理论为工具，获得了算子多项式数值域具有的特性及其包含范围，算子多项式数值域与n-次数值域的关系，最后研究了算子线性束正则性的等价条件及谱分布情况。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。