多项式的次数

给出一个快速算法来判定整系数滤波器的稳定性。该算法的复杂性为O（n2），其中n为模拟滤波器传输函数分母多项式的次数。

This paper offers a fast algorithm for determining the stability of filter with integer coefficients , whose complexity is O ( n ~ 2 ), where n is the degree of denominator of transmission function of simulated filter .

特征性则对该矩阵有理多项式的次数（型）做了刻画；

The characteristic describes the type of the polynomial ;

在文献[1]的基础上，给出了一个关于变化矩阵秩的等式，并利用这个等式给出了线性时不变奇异系统变化多项式的次数。

Basing on the equality , we show the degree of output feedback variable polynomial of LTI singular systems .

与三维坐标和速度相比，用这些轨道根数作为数值积分基本变量，可减少内插多项式的次数。

By using these orbit elements as basic variables in numerical integration , it is possible to reduce the degree of the polynomial of the interpolation comparison with 3-dimension coordinate and velocity components .

提出的方案具有秘密份额可以多次使用、公开的参数少以及所要重构多项式的次数小的优点，这使得方案更高效，能够更好地满足各种应用需求。

The proposed scheme has many advantages , for example , the secret shares can be used multiple times and the scheme publishes very few parameters as well as the reconstructed polynomial has a low degree .

接下来我们给出了一个估计符号线性方程组多项式解的次数和高度上界的算法。

Then we present an algorithm for estimating the upper bounds of the degree and height of the polynomial solution of a symbolic linear system of equations .

整个MD-样条曲线至少是Cmin{m，n}连续的，这里的m，n为两相邻多项式段的不同次数。

The continuous of the entire MD-splines is at last Cmin { m , n } , there m , n is the degree of adjacent polynomial intervals .

采用并行的余式计算方式和改进的余式译码关键方程，减少错误多项式求解的迭代次数，缩短了译码的时间开销。

The adoption of parallel remainder calculator and modified key equation accelerate decoding process . And the discovery of a new way reduces the iterations of the calculation of the error polynomial , which also contributes to cut down the expenditure of decoding time .

根据目标物体本身的特征，从理论上得出隐含多项式曲线描述物体的次数确定定理，并给出了具体计算公式。

A theorem is presented to determine the degree of fitting implicit polynomials based on the object boundary features , and the formula for the degree of fitting implicit polynomial is given .

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。

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 .