| 基于格路模型的组合恒等式证明 |
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| 引用本文： | 殷周平.基于格路模型的组合恒等式证明[J].安庆师范学院学报(自然科学版),2007,13(4):16-18. |
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| 作者姓名： | 殷周平 |
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| 作者单位： | 安庆师范学院,继续教育学院,安徽,安庆,246011 |
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| 摘 要： | 组合恒等式在组合数学中占有重要地位,它有多种证法,模型的转换是组合计数的基本方法,其方法简洁直观。将格路模型应用在证明组合恒等式中,使证明方法十分灵活。在用这一方法时,要认真审题,观察每一项的结构以及各项的相同点,再建立相应的模型。
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| 关 键 词： | 组合恒等式 组合数学 格路 模型 |
| 文章编号： | 1007-4260（2007）04-0016-03 |
| 收稿时间： | 2007-09-06 |
| 修稿时间： | 2007年9月6日 |
Proof of Combinatorial Identity Based on the Lattice Path Model |
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| YIN Zhou-ping.Proof of Combinatorial Identity Based on the Lattice Path Model[J].Journal of Anqing Teachers College(Natural Science Edition),2007,13(4):16-18. |
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| Authors: | YIN Zhou-ping |
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| Abstract: | Combinatorial identity is very important in combinatorial mathematics,and many methods can be used to prove it,for example,model conversion is the basic,simple and intuitive method in combinatorial counting.By using the lattice path model to combinatorial identity,it can be made very flexible to prove.It is necessary to seriously examine questions and observe the structures and similarities of each part firstly in the use of the method,then we can establish relevant models. |
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| Keywords: | Combinatorial identity combinatorial mathematics lattice path Model |
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