| 有理真分式部分分式分解的证明及系数公式 |
| |
| 引用本文： | 傅莺莺. 有理真分式部分分式分解的证明及系数公式[J]. 大学数学, 2014, 0(2): 82-87 |
| |
| 作者姓名： | 傅莺莺 |
| |
| 作者单位： | 北京工商大学理学院,北京100048 |
| |
| 基金项目： | 国家自然科学基金资助项目（11101012,61304155） |
| |
| 摘 要： | 基于多项式知识给出了有理真分式部分分式分解定理的一个简洁的构造性证明.此外,还对分解系数的计算方法进行总结,给出了赋值法、极限法与导数法的全部计算公式.结果表明,利用极限法与导数法都能求出全部分解系数,且导数法的计算公式更简单、易算.
|
| 关 键 词： | 有理函数 部分分式 系数公式 导数 |
The Proof and Coefficient Formula to Decomposition of Rational Fraction into Partial Fractions |
| |
| Fu Ying-ying. The Proof and Coefficient Formula to Decomposition of Rational Fraction into Partial Fractions[J]. College Mathematics, 2014, 0(2): 82-87 |
| |
| Authors: | Fu Ying-ying |
| |
| Affiliation: | Fu Ying-ying (School of Science, Beijing Technology and Business University, Beijing 100048, China) |
| |
| Abstract: | This paper proposed a new proof to decomposition of rational fraction.into partial fractions,and also gave out all coefficient formulas respectively basing on value-assignment,limitation and derivative. The results showed that the method basing derivative do well. |
| |
| Keywords: | rational fraction partiar fraction coefficient formula derivative |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
