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The expressions of polynomial and neural network are used to approximate angular error, it is demonstrated that the variance error by using neural network is smaller, which raises a higher request on the performance of the computer.

本文研究了误差模型的存贮方式问题,对于误差拟合采用了多项式法和神经网络方法,神经网络法的逼近程度高,但对计算机的性能要求也高。

A modified Euclidean algorithm was proposed by the generalization of synthetic division. It didn't judge the degree of polynomial and could decrease the complexity of decoding and hardware circuit and improve the decoding speed.

通过对综合除法进行推广,提出了一种改进型欧几里德算法,它不需要进行多项式次数的判断,能够降低译码的复杂度,减少硬件电路的复杂性,提高译码速度。

According to the complexity of decoding circuit in digital TV and the moderate speed of decoding,a modified Euclidean algorithm is proposed based on the related deduction of division with reminder of polynomials.

针对数字电视译码电路复杂,译码速度不高的特点,基于多项式带余除法的相关推论,提出一种改进型欧几里德算法。

Since the residual will not diverge with respect to the Euclidean norm, the new algorithm is safer than the product hybrid GMRES algorithm.

由于外循环的GMRES迭代能够保证残量按照Euclidean范数总是非增的,因此较积混合GMRES算法而言,右端积多项式预处理具有更好的安全性。

Obviously, the last two types of timelike cases have no counterparts in Euclidean space.

一形状算子的极小多项式形如~2的null scroll。

First, by using the properties of knots and the Jones polynomial, we research the relation between them, thereby involving in the projection diagram with n crossings, discuss the state S of the projection diagram L , through the properties of vertexgraph, Euler Formula, one studied the problem of the equal of the knots.

首先,我们利用纽结及琼斯多项式的性质研究了它们的关系,进而涉及了有n个交叉点的纽结投影图,对其投影图L的状态S进行讨论,并通过四岔地图,欧拉公式等性质,研究了纽结等价性问题。

Excess demand function ; polynomial function.

超额需求函数;多项式函数

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。

Here, the theory and the deducing process of the SEM based on the Legendre polynomial is given. The SEM can get a global diagonal mass matrix, which leads to a very simple explicit time difference scheme and high efficiency. Numerical simulation in the transversely isotropic medium are shown and the results approved that the SEM is a effective method for seismic wave modeling.

文中阐述了基于Legendre多项式的谱元法的理论和推导过程,该方法可以形成全局对角质量矩阵,在时间域使用显式的差分算法,提高运算效率,最后通过横向各向同性介质的数值计算,模拟结果表明该方法是一种有效的数值模拟方法。

The SEM can get a global diagonal mass matrix, which leads to a very simple explicit time difference scheme and high efficiency. Numerical simulation in the transversely isotropic medium are shown and the results approved that the SEM is a effective method for seismic wave modeling.

文中阐述了基于Legendre多项式的谱元法的理论和推导过程,该方法可以形成全局对角质量矩阵,在时间域使用显式的差分算法,提高运算效率,最后通过横向各向同性介质的数值计算,模拟结果表明该方法是一种有效的数值模拟方法。

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