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Qiu-Ming Luo, Yun-Xin Ma, Feng Qi, The relations between higher order Bernoulli polynomial and higher order Euler polynomials , Shuxue Zazhi Journal of Mathematics (Wuhan 25 (2005), no.

雒秋明，马韵新，祁锋，高阶Bernoulli多项式和高阶Euler多项式的关系，数学杂志 25 (2005)， no。

In this paper the degree of approximation by n-dimensional Bernstein polynomials is discussed.

本文讨论了k维空间的伯恩斯坦多项式在不同的距离下的逼近度。

On the basis of this, we have chiefly investigated the problem of best approximation by polynomials in two variables.

在这个基础上，我們着重地研究了二元多項式的最佳逼近問題。

Inspired by the wavelets,we introduce the concept of geometric wavelets.We transform the compression into a best uniform approximation which is familiar to us in mathematic,we approximate the signal with polynomials.

受小波方法的启发，我们引入了几何小波的概念，将压缩问题转化为逼近理论中熟知的最佳一致逼近问题。

Based on general orthogonal polynomials and general hybrid orthogonal functions, a new linear, continuous and bounded operator has been proposed in the dissertation. The definitions and properties of PGOPO are given, a various operational rules of the operator have been set up in a systematic way, the convergence of approximate solutions has been discussed. After introducing PGOPO and discussing its main properties and operational rules, a systematic methodology for solving various control problems via PGOPO has been developed.

本文在广义正交多项式及广义混合正交函数的基础上，提出了一种新的线性、连续、有界算子—分段广义正交多项式算子，探讨了这种算子的基本性质，并系统地建立了与该算子有关的各种运算规则及收敛性结论，给出了它在控制理论中的各种应用。

This paper investigates the problem of the best weighted simultaneous approximation to totally bounded sequence s from a set G of generalized polynomials with restricted coefficients in complex normed linear spaces X.

在复赋范线性空间X中考察了具限制系数的广义多项式集G对全有界序列的加权同时逼近问题。

The latter one is our effort in attacking the diagonalization of the Cauchy kernel on Schubert polynomials (the noncommutative version conjectured by Alain Lascoux is still open).

后者是我们在关于Schubert多项式的Cauchy核对角化方面所做的努力（Alain Lascoux猜想在非交换的情况下也成立，但目前为止还没有被证明）。

It used chebyshev polynomials to calculate sine function for improving its accuracy. It adopted optimized null vector distribution strategy to decrease switching times and switching current.

其采用Chebyshev多项式计算三角函数，提高了运算精度；采用零矢量象限间交错分布的优化策略，以减小开关次数，降低开关电流。

In the numerical calculations,the unknown density of dislocation is approximated with the product of fundamental function and Chebyshev polynomials.The calculations show the present method yields rapidly converging and high accurate numerical results.

在数值求解这组奇异积分方程中未知位错分布密度近似为基本密度函数与Chebyshev多项式之积，计算表明，本文方法的数值结果不但收效快而且精度高。

Chebyshev polynomials are ubiquitous and have many applications. So the study of Chebyshev polynomial is meaningful.

因为Chebyshev多项式无处不在且应用广泛，所以研究有理系统下的Chebyshev多项式有着重要的意义。

Objective:To compare the response control and attention of Schizophrenic patients with that of the healthy controls by Integrated Visual and Auditorycontinuous performance test. To quantitate the impairment of cognitive function in patients, and to explore the relationship between cognitive function and the severity of the disorder.

目的：探讨精神分裂症病人在IVA持续操作测试中的反应控制能力、注意力等，并与健康人进行比较，从而量化精神分裂症病人的认知功能损害，并进一步探讨其认知功能与疾病严重程度的关系。

Main effective factors including subcooling degree, mechanical vibration, gas hydrate reformation, environment temperature, noncondensing gas and surfactant are analyzed.

指出过冷度、机械振动、重复生成水合物、环境温度、不凝性气体、添加剂是影响气体水合物生成的主要因素，还对R152a水合物的放冷进行了实验研究。