函数代数

algebroidal function ; uniqueness theorem ; characteristic function

最后，我们应用新定义的加法，将杨乐的联系重值的唯一性定理推广到多值的代数体函数。设A，，…，A。是定义在复平面C上的一组没有

The stochastic one can get one low degree annihilator quickly.

其次研究了代数免疫最优布尔函数的构造。

You need an arithmetic progression, just like the built-in function range, but with float values.

你需要一个代数表达式，就象内建函数range一样。但是它要的是浮点数（range仅仅在整数上工作

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。

For the beam buckling problem, this paper presents the Barycentric Lagrange interpolation collocation method to get the differentiation Matrix of unknown function.

采用重心Lagrange插值多项式建立未知函数的微分矩阵，采用配点法将梁的控制方程表示为代数方程组。

By using the theory of factor theorem and determinant in higher Alge-bra, the factorization method of Circulant Symmetric function is given.

本文利用高等代数的因式定理理论和行列式理论，给出了轮换对称函数的因式分解方法。

Polynomial function ; Finite commutative ring ; Finite commutative local ring; Teichmller representatives; Witt polynomial

基础科学，数学，代数、数论、组合理论多项式函数；有限交换环；有限交换局部环； Teichmller提升； Witt多项式

In order to prevent the deformation of the physical domain, the geometrical consistency conditions were used.

为提高紊流计算精度，对κ-ε模型结合壁面函数法同LVEL、Baldwin-Lomax这两种代数紊流模型进行了比较。

In this paper, an important property and a theorem have been given about the matrix Thiele's continued fraction which is used to approximate the function of e. Based on the property, the Thiele algorithm is improved. A numeral example is also provided.

文章利用代数知识给出了矩阵指数函数e的连分式逼近函数的一个重要性质和定理，并在此基础上对矩阵指数函数e的连分式算法进行改进，最后用数值例子来验证其可行性。

In the fourth chapter, we explain that the functionuce is a covariant functor in the category of Novikov-Poisson Algebras at first.

在第四章中，我们首先说明了uce函数是Novikov-Poisson代数范畴上的共变函子。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。