查询词典 compatible system of algebraic equations

The algebraic geometry solutions of these new soliton equations are obtained with the help of Jacobi inversion.

再经过Jacobi反演，获得孤子方程的代数几何解。

If fractional equation into Interdisciplinary equations into algebraic geometry problem, the problem will be transformed into quadrilateral triangle problem.

如将分式方程化为整式方程，将代数问题化为几何问题，将四边形问题转化为三角形问题等。

The hybrid model is a combination of non-linear algebraic equation group and differential or difference equation group, and possesses the ability to integrate equations in inhomogeneous expression form.

本课题抓住这一前沿研究，从经验知识与经验数据的综合利用入手，对软测量模型的结构、模型构建方法以及软测量系统的关键技术进行深入研究。

The order and time delay of the dynamic model are assumed to be unknown a priori. A time-weighted digital filter is employed to group of linear algebraic equations. The moving horizon least-squares algorithm is then developed to estimate the model parameters in a recursive fashion.

该法应用一时间加权离散滤波器将特定时段内取样的输出入讯号转换成一实数，然后利用不同时段的量测讯号以移动区间递回最小平方演算法来估测模型参数。

The main work of this paper is to disscuss these Diophantine equations with the congruent method and the Algebraic Number Theory.

本论文主要利用简单同余法和代数数论方法讨论了以下不定方程：一。

This paper reviews the historical development of the algebraic solutions of polynomial equations, introduces the life and scientific achievements of Cardano together with the historical background of Ars Magna. Based on this, the paper makes an elaborate study on Ars Magna.

本文首先回顾了多项式方程代数解法的发展过程，介绍了卡尔达诺的生平、科学与数学成就以及《大术》的历史背景，然后在此基础上详细研究了《大术》各章的内容。

A continuous equation, three momentum equations are set up for each phase, and the algebraic equation with sum of volume rate amount to one is set up in this model.

该模型针对每一相都建立了一个连续性方程、三个动量方程，并建立了一个体积率和等于1的代数方程。

Matlab for use, and the solution of algebraic differential equations.

详细说明：用matlab作的，代数微分方程组的解法。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

It is proved that the algorithm is convergenced for arbitrary consistent systems of linear algebraic equations.

本文利用行处理法[2～4]和分治策略[5]探讨这一问题。将任意的n×m阶线性代数方程组=bi，∥αi∈R1×m∥i=1，2，…，n。

The use of the web to spread fears that flicking the switch on the LHC could create a Black Hole that could swallow up the Earth particularly concerned him, he said.

他说，使用互联网散布恐慌说启动LHC会生成一个可能吞噬地球的黑洞的做法让他感到忧虑。

Not a single word have I written down.

我一个字也没有写下来。