rational interpolating function

A criterion for the existence of the osculatory rational interpolating functions;

切触有理插值函数存在性的判别方法

By introducing the univariate Newton’s interpolation polynomials to the triple case, a kind of triple rational interpolations is constructed.

由一元Newton插值公式推广得到三元Newton插值公式 ,进而构造出一种三元有理插值函数 。

We give a method for directly computing the denominator values of bivariate rational interpolants at the nodes, and present an expression of the corresponding bivariate rational interpolant when the latter exists.

给出一种方法可直接计算基于矩形节点的二元有理插值函数的分母在节点处的值 ,进而判断相应的二元有理插值函数是否存在 。

In this paper, a concept of the bivariate transfinite vectored rational interpolating function is presented.

文章首先提出超限向量值有理插值函数的概念,再据此给出了一种算法来构造各种形状的旋转曲面(含球面),其准线是(分段)Bézier曲线或其他平面连续曲线。

Seeming Unreasonable,Whereas Reasonable——the Aesthetic Features of Defamiliarization Theory;

恰似“无理”却“有理”——陌生化诗学的审美特征

Use division transformation,the rational number must be expressed by limited decimal or unlimited circulating decimal.

利用有理数对实数逼近的表示方式,给出黎曼函数处处不可导的一种证明,给出单位圆周上的有理点在单位圆上稠密的证明。

On expressing any positive rational number as sum of different terms of a given subsequence of harmonic sequence,some particular cases are studies.

对于用调和数列的子列表示正有理数的问题,研究了一些特殊情况。