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| 上楼问题的数学模型建立及其求解 | |
| 引用本文： | 严志丹,王伟. 上楼问题的数学模型建立及其求解[J]. 塔里木大学学报, 2009, 21(4): 35-37 |
| 作者姓名： | 严志丹 王伟 |
| 作者单位： | 塔里木大学信息工程学院,新疆,阿拉尔,843300 |
| 摘 要： | 上楼梯问题是一个经典名题，经常出现在各类数学竞赛中。本文利用组合数学及线性代数的方法对上楼梯问题进行了深入的讨论，得到了上楼梯问题中三种情况的通项公式。 |
| 关 键 词： | 楼梯问题 斐波那契数列 范得蒙行列式 特征方程 |
A Mathematical Model of Go Upstairs and Its Solving |
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| Yan Zhidan,Wang Wei. A Mathematical Model of Go Upstairs and Its Solving[J]. Journal of tarim University, 2009, 21(4): 35-37 | |
| Authors: | Yan Zhidan Wang Wei |
| Affiliation: | ( College of Information Engineering, Tarim University, Alar, Xinjiang 843300 ) |
| Abstract: | The problem of going upstairs is a classic mathematical problem which often appeared in mathematical contest of various kinds. In this paper, the problem of going upstairs is analyzed in depth by the use of linear algebra and combinatorial mathematics. The general formula of the problem is obtained in three cases. |
| Keywords: | problem of going upstairs Fibonacci sequence Vandermonde determinant characteristic equation |
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