查询词典 polynomial coefficient

So the aim of this paper is to prove coefficient of h-polynomial of group H_3 and H_4 is nonnegative.

本文的目标就是要证明群H_3，H_4的h多项式的系数非负。

Then obtains the judgment theorem and existence theorem of the rational root of the integral coefficient polynomial.

进而得出整系数多项式的有理根的一个判定定理和根的存在定理。

The paper available mapping of integral coefficient polynomial and rational number, obtain

利用整系数多项式与正有理数的对应，将多项式因式分解通过对真分数序列筛选的办法求得因式，给出了整系数多项式因式分解的一种新方法。

This paper considers weighted estimate s of polynomial operator spectra by using the methods of integral,Rayleigh theorem and Schwartz inequality and establishes the inequality of upper bound of the(n+1) spectrum by depending on the former n spectra and the estimated coefficient is independent of the measure of the domain.

考虑多项式算子谱的带权估计，利用分部积分、Rayleigh定理、Schwartz不等式等方法，建立了用前n个谱来估计第n+1个谱的上界的不等式，且其估计系数与区域度量无关。

In the ***, all types and fundamental principles of Radon transform are summarized systematacially. This *** starts from the general linear Radon transform, and then researches how to use the damped least square method to find the solution of the forward transform. However, the least squares smoothing effect will lead to a certain degree of trails in the data of Radon domain, which led to the application\'s limitations. After that the implementation in Radon domain and relative merits of linear Radon transform, parabolic Radon transform and polynomial Radon transform which have time invariance are introduced, the conjugate gradient method that can solve numerical solution is also given. And then the high resolution Randon transform is discussed, it introduces the regularization theory and Bayes principle into inversion, which successfully remove the negative affect caused by discrete Radon transform. Finally, we introduce the optimal weighting similar coefficient Radon transform, which adapt to the time variant quality of hyperbolic Radon transform.

本文系统总结了Radon变换的各种类型及其基本原理，从τ- p变换(即一般线性Radon变换)出发，研究利用阻尼最小二乘平方法求解其正变换，但是最小平方法的平滑作用会导致Radon域数据存在一定程度的拖尾效应，给这种方法的应用带来了很大的局限性；然后先容了具有时不变性的线性、抛物和多项式Radon变换在频率域的实现及其优缺点，给出了求解其数值解的共轭梯度算法；接着讨论了高分辨率Radon变换，它把正则化思想和贝叶斯原理引进到了反演中，很好的克服了离散Radon变换产生的截断效应对结果的不利影响；最后先容了适应双曲Radon变换时变性质的高分辨率最优相似系数加权Radon变换。

At first, the governing differential equations are solved by Fourier transform, then, under consideration of the mixed boundary value condition, a pair of dual integral equations about the vertical vibration are listed which are converted to linear algebra equations by the Jacobi orthogonal polynomial and solved by numerical procedures. Consequently, the dynamic compliance coefficient Cv versus the dimensionless frequency is derived, and the program is compiled.

首先，采用Fourier积分变换解析求解了Biot方程，得到了该动力控制方程在Fourier变换域上的一组通解，然后由混合边值条件建立了地基上基础竖向振动的对偶积分方程，并应用Jacobi正交多项式将其转化为一组线性代数方程组，通过求解得到了不同无量纲频率下基础振动的动力柔度系数Cv，编制了相应的计算程序。

The Mahler measure of a polynomial P is the absolute value of the product of all roots of P that have modulus at least 1 multiplied by the leading coefficient.

中文摘要：多项式的Mahler测度指的是它的所有模大于1的根与其首项系数的乘积的绝对值。

Recurrent formulas for calculating the coefficients of the Legendre polynomial and the expressions for calculating the sedimentation coefficient are deduced analytically.

为了研究多分散低Péclet数沉降问题，我们先以Legendre多项式展开法得到了计算对分布函数的普遍递推式，以及由Legendre多项式的系数表示的沉降积分。

The principal objects used by the NTRU PKCS are polynomial of degree N-1 having integer coefficient which are operated by addition,subtraction,multiplication and modular arithmetic.

在相同的安全条件下，NTRU仅需O(2)次操作和O密钥长度，而RSA需要O(3)次操作和O密钥长度，所以NTRU至少要比RSA快100倍，并且经过算法的改进NTRU效率有更大幅度的提高。

The principal objects used by the NTRU PKCS are polynomial of degree N-1 having integer coefficient which are operated by addition,subtraction,multiplication and modular arithmetic .

NTRU公开密钥体制算法主要对象是对N-1次多项式进行加、减、乘、模运算，所以该加密解密的速度比RSA等著名算法快得多，和椭圆曲线密码体制一起，成为新一代最优秀的公钥密码体制。

The system can be widely used in belt weighing and batching process control,etc.

介绍了基于智能模糊控制的嵌入式配料系统的设计方法，对模糊PID控制过程和系统调零作了重点的讨论，同时给出了PID控制的程序流程图和系统定长调零子程序。

"I dunno," she answered,"but if you show me aroun', I'll recognize it from the lighthouse just outside the porthole."

"我不知道，"她回答说，"如果你能带我转转，我能认出来的，因为灯塔就在舷窗外。"