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The second part has summarized from the one-dimension and multivariate respects the abundant approximation properties of Bernstein polynomials, mainly including the estimation of approximation degree, derivative approximation, linear combination approximation and weighted approximation.

第二部分从一元和多元两个方面系统总结了Bernstein算子丰富的逼近性质,主要包括逼近度估计、导数逼近、线性组合逼近和加权逼近等。

He determined the upper bound with Descartes' rule of signs; he gave us a general formula for attacking polynomials.

他给我们一个公式来处理多项式。

Finally, based on these characteristics , the eigenvalues and eigenvalues polynomials and its diagonal matrix were given.

最后,在分块反对称反循环矩阵性质的基础上,给出了其特征值和特征多项式以及相似对角阵。

Meanwhile, we show some links of Dickson polynomials and difference sets, including some interesting identities.

得到了超卵型线,2-1映射与差集的一些关系,同时,给出了Dickson多项式与差集的一些内在联系,得到了Dickson多项式的原像的一些有趣的等式。

Finally, summed up the basic concepts of polynomials, divisibility theory, factorization theory, theory of polynomial roots.

最后总结出了多项式的基本概念,整除性理论,因式分解理论,多项式根的理论。

In chapter two of this paper, firstly the author gives the matrix express for some polynomials, advances the new concept of the first and second oblique elementary operation of matrices.

近年来,由于实际问题的需要,对矩阵反问题特别是特征值反问题的研究成为当今计算数学中一个非常活跃的课题。

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。

The main results are: given n - 1 polynomials satisfying some conditions,then each polynomial can represent an excess demand function for corresponding commodity.

p1,p2,…,pn-1),s=1,2,…,n—1,若满足条件:则Es,s=1,2,…,n—1均为一个经济的超额需求函数。

This book is designed for a computationally intensive graduate course based around a collection of classical unsolved extremal problems for polynomials.

这本书是为集中的研究生课程在一次为多项式经典未解决的extremal 问题的收集周围基于的computationally 设计的。

In general, the number of irreducible polynomials of degree over the finite field GF is given by

一般的,在有限域GF上,次不可约多相似的数目由公式给出。

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