The equivalence of the two statements can be proven through the use of successive polynomial division.

两个表述的等效性可以通过使用连续多项式除法来证明。

Based on the relationship between the group delay function and the cepstral coefficients, the denominator polynomial coefficients can be determined.

根据群延迟函数与倒谱系数之间的关系，可以确定分母的多项式系数。

Every polynomial is differentiable, and so is every rational.

每个多项式都是可微的，而每个有理函数也是如此。

Today's example function is evaluating a third order polynomial.

今天的例子是评测一个三次多项式。

The number of polynomial function over a finite commutative ring.

有限交换环上的多项式函数的个数问题。

Objective To discuss the clinical application of polynomial curves fitting.

目的探讨多项式拟合曲线在临床中的应用。

The paper discusses the improved least square method for polynomial differentiation.

本文讨论了多项式微分的改进型最小二乘方法。

Subsequently we present local approximation spaces of some interpolation polynomial.

随后又给出了几类插值多项式的局部近似空间。

The polynomial multiplication is performed by sub-polynomial multiplications and additions.

多项式乘法由子多项式的乘法和加法实现。

Shor's algorithm, for example, is able to find the period of a function of N bits in polynomial time.

例如 Shor 的算法能在多项式时间内找到一个 N 位函数的周期。

Thus - there is no known polynomial solution to this problem, and most believe one does not exist.

因此，有没有已知的多项式的解决这个问题，大多数人相信一个不存在。

The fact that it is impossible to find the global optimum in polynomial complexity has been proved.

理论上已经证明要在多项式时间复杂度内对这一类问题找到全局最优解是不可能的。

Distributed load is regarded as polynomial function or uniformly distributed moment all ng the edge.

荷载采用了多项式形的分布荷载及均布边缘力矩。

Using it the directed tree polynomial of a directed graph G can be found conveniently and efficiently.

应用它可以方便且有效地求出一个有向图G的有向树多项式。

The distributed load is regarded as polynomial function or uniformly distributed moment along the edge.

荷载采用了多项式型的分布荷载及均布边缘力矩。

In this paper, the design problem of new nonlinear state feedback for linear polynomial system is discussed.

本文就线性多项式型系统的综合问题给出一种新的非线性状态反馈设计方法。

To observe the character of singularity loci clearly, a polynomial form of the singularity loci are also derived.

为了清楚地观察奇异形位的特征，本文还得到了奇异表达式的多项式形式。

The Macaulay computer algebra system is useful for polynomial computations with emphasis on Grobner basis calculations.

Macaulay计算机代数系统对于多项式计算非常有用，并重点强调grobner基计算。

Because the polynomial is applicable to different boundary conditions, the written program has been further simple.

由于这种多项式能适应各种边界条件，编写的程序更加简单。

At present nearly all systems of polynomial manipulation are written by LISP or FORTRAN, and run on a serial computer.

目前的多项式处理系统均采用表加工语言LISP或科学计算语言FORTRAN等，在一般串行机上实现。

This can be generalized to polynomial interpolation, which is sometimes more accurate but suffers from Runge's phenomenon.

这可以推广到多项式插值，有时更准确，但患有龙的现象。

Note however, there is a pseudo-polynomial dynamic programming solution to subset sum that might be utilized here as well.

然而，有一个伪多项式时间的动态规划的解决方案的子集这可能被利用在这里就好了。

In this paper, the polynomial is adopted as basic function of finite strip method, the relative formulas have been derived.

本文采用多项式作有限条位移函数中的基本函数，并推导出了相应的关系式。

The fitted line in the figure is a 3rd-degree polynomial, but any sort of smoothing would tell you that there is a massive upward trend.

拟和线是一个三次多项式的形式，但是任何形式的平滑都会告诉你有一个大的上升趋势。

The interpolation polynomial is applied in curve fitting for easy calculation and analysis and better representation of CT10%error curve.

采用多项式拟合曲线，可以发挥其便于计算和分析的优点，能够更好地反映电流互感器10%误差特性，使用方便。

By using this formula, orthogonal polynomial fitting algorithm for initial value problems of ordinary differential equations is established.

利用这一公式建立了常微分方程初值问题的正交多项式拟合算法。

In this paper, proposition polynomial and 0-1 proposition polynomial are advanced. Using them, analysis of proposition function is realized.

本文提出了命题多项式，0 - 1命题多项式的概念，应用它们，实现了命题函数的解析化。

The polynomial method can evaluate the linear degree of the laboratorial methods using statistical theory and considering clinical significance.

多项式线性评价方法充分利用统计理论，结合临床可科学评价实验方法线性程度。

The curve of an eddy current displace sensor can be converted into a line by analysing the character of the curve obtained by polynomial fitting.

通过对某电涡流位移传感器位移、电压用多项式拟合曲线的特点进行分析，经过试探发现该传感器曲线可转化为直线。