两个表述的等效性可以通过使用连续多项式除法来证明。
The equivalence of the two statements can be proven through the use of successive polynomial division.
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。
Based on the relationship between the group delay function and the cepstral coefficients, the denominator polynomial coefficients can be determined.
它在各种各样的计算机系统上运行，尤其擅长于涉及任意长度整数和小数、图、矩阵和多项式代数的算术。
It runs on a variety of computer systems and is especially good at arithmetic involving arbitrary-length integers and fractions, graphics, and matrix and polynomial algebra.
有了曼德尔勃特集合，蔬菜和二次多项式都变得有趣多了。这个方程序表现了类似图中的花椰菜菜籽的重复的复杂性。
Both vegetables and quadratic polynomials are made more interesting with the Mandelbrot set. The formula explains the repeating complexity of broccoli heads like this one.
有了曼德尔勃特集合，蔬菜和二次多项式都变得有趣多了。
Both vegetables and quadratic polynomials are made more interesting with the Mandelbrot set.
Computationsin CommutativeAlgebra (CoCoA)是另一个免费计算机代数系统，用于处理超大型整数、有理数和多项式。
Computations in Commutative algebra (CoCoA) is another free computer algebra system for working with very large integers, rational Numbers, and polynomials.
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。
The Macaulay computer algebra system is useful for polynomial computations with emphasis on Grobner basis calculations.
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。
Shor's algorithm, for example, is able to find the period of a function of N bits in polynomial time.
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 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.
现在我为什么要这么做呢？，或许我应该使用伪多项式这个值？
Now why am I going through all this, maybe I should use the word pseudo-theory?
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。
Thus - there is no known polynomial solution to this problem, and most believe one does not exist.
这是正常的，因为从微积分可以知道，任一函数都可以用分段多项式来逼近。
This is normal, and the arbitrary function all can approach with dividing section multinomials because can know from infinitesimal calculus.
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。
To observe the character of singularity loci clearly, a polynomial form of the singularity loci are also derived.
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。
Using it the directed tree polynomial of a directed graph G can be found conveniently and efficiently.
目的探讨多项式拟合曲线在临床中的应用。
Objective To discuss the clinical application of polynomial curves fitting.
为了提高网格简化后的三角形质量，提出了一种新的基于顶点局部多项式曲面拟合的三角网格简化算法。
To enhance the triangle quality of the simplified mesh, a novel triangular mesh simplification algorithm based on local polynomial fitting surface of vertices was proposed.
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。
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.
基于多项式分段拟合的舰船观测方位数据处理方法，对观测方位序列进行分段处理。
The data processing method of warship observation orientation based on polynomial segment fitting, and the sequences of observation orientation were processed in segment.
采用一族能较好地逼近弯剪型变形曲线的正交多项式作基函数来描述位移沿竖向变化。
The orthogonal polynomials approximated to shear-moment deformation curves were employed as the basic function to describe the displacement variation along the vertical.
本文介绍了一种建立在运动链关联矩阵基础上求解运动链特性多项式的新方法。
A new method of obtaining linkage characteristic polynomials based on the adjacency matrix of the kinetic chain is presented in the paper.
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。
By using this formula, orthogonal polynomial fitting algorithm for initial value problems of ordinary differential equations is established.
本文得到下列结果：通过应用矩阵多项式，得到一个相似变换下变换矩阵的简便解法。
This paper obtained the following results: a simple solution for the similarity matrix under a similarity transformation is obtained by using a matrix polynomial.
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 polynomial method can evaluate the linear degree of the laboratorial methods using statistical theory and considering clinical significance.
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。
At present nearly all systems of polynomial manipulation are written by LISP or FORTRAN, and run on a serial computer.
利用显式可以计算得到规范多项式的参数。
The parameters of canonical polynomials can be obtained by using explicit formulae.
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。
In this paper, the polynomial is adopted as basic function of finite strip method, the relative formulas have been derived.
本文从不同种植密度和施氮量对玉米籽粒产量的影响，建立了二次多项式回归方程。
Second-degree polynomials equation of maize(Zea Mays L. ) grain yield with both planting density and nitrogen fertilization was established by means of regression analysis.
方法利用匹配多项式的定义和性质推导。
Methods The character and definition of matching polynomials are used to compute.
方法利用匹配多项式的定义和性质推导。
Methods The character and definition of matching polynomials are used to compute.
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