| 逆差商的一个紧凑行列式表示 |
| |
| 引用本文： | 檀结庆.逆差商的一个紧凑行列式表示[J].数学研究与评论,2000,20(1):32-36. |
| |
| 作者姓名： | 檀结庆 |
| |
| 作者单位： | 合肥工业大学应用数学研究所,230009 |
| |
| 基金项目： | Supported by National Natnral Science Foundation of China (19501011) and the Spanning-Century Fonndation for Excellent Talents of the Ministry of Machine Building Industry of China (97250902) |
| |
| 摘 要： | 本文给出了逆差商的一个紧凑行列式表示，从该表示式易知，一个函数在某ｎ＋１个点的ｎ阶逆差商与这些点的排序有关，但与前ｎ－１个点的局部换序无关．此外，还从另一角度定义倒差商，得出了倒差商与逆差商之间的关系以及倒差商的整体换序无关性．
|
| 关 键 词： | 逆差商 紧凑行列式表示 倒差商 整体换序无关性 |
| 文章编号： | 1000-341(2000)01-0032-05 |
| 收稿时间： | 1996/7/15 0:00:00 |
| 修稿时间： | 1996年7月15日 |
A Compact Determinantal Representation for Inverse Difference |
| |
| TAN Jie-qing.A Compact Determinantal Representation for Inverse Difference[J].Journal of Mathematical Research and Exposition,2000,20(1):32-36. |
| |
| Authors: | TAN Jie-qing |
| |
| Institution: | Inst. of Appl. Math.; Hefei University of Technology; Anhui 230009 |
| |
| Abstract: | A compact determinantal representation for inverse difference is given. From the representation it is easy to know that the inverse difference of a function at some n + 1 points x0, x1, xn depends on th orderings of these points and it is locally independent of the permutation of first n - 1 points. Moreover we define reciprocal difference from another point of view, get the relation between inverse difference and reciprocal difference and obtain the property that the reciprocal difference is globally independent of the permutation of the points. |
| |
| Keywords: | inverse difference reciprocal difference determinant |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究与评论》浏览原始摘要信息 |
| 点击此处可从《数学研究与评论》下载免费的PDF全文 |
