| 整边梯形的计数公式 |
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| 引用本文： | 邢林燕.整边梯形的计数公式[J].甘肃联合大学学报(自然科学版),2009,23(4):36-39. |
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| 作者姓名： | 邢林燕 |
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| 作者单位： | 揭阳职业技术学院,广东,揭阳,522000;华南师范大学,数学科学学院,广东,广州,510631 |
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| 摘 要： | 讨论了整边梯形的性质和构造,给出四个正整数是某个整边梯形的四边之长的一个充要条件,从而将整边梯形的问题转化为整边三角形的问题,然后借助整边三角形的计数公式给出周长为n的整边梯形的计数公式.最后,我们利用分拆的Ferrers图将一类整边梯形与不定方程4x1+3x2+2x3=n联系起来.
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| 关 键 词： | 分拆 整边梯形 计数公式 |
The Calculating Formula Of The Trapezia With Integer Sides |
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| XING Lin-yan.The Calculating Formula Of The Trapezia With Integer Sides[J].Journal of Gansu Lianhe University :Natural Sciences,2009,23(4):36-39. |
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| Authors: | XING Lin-yan |
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| Institution: | 1.Jieyang Vocational & Technical College;Jieyang 522000;China;2.School of Mathematical Sciences;South China Normal University;Guangzhou 510631;China |
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| Abstract: | The property and the construction of the trapezia were discussed in this paper,the necessary and sufficient condition of four positive integers to be the side lengths of the trapezia with integer sides was given,and thus turn the problem of the trapezia with integer sides into the problem of the triangle with integer sides.The calculation formula of the trapezia with integer sides which perimeter is n was given by the calculation formula of the triangle with integer sides.At last,a relation for the Diophant... |
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| Keywords: | partition the triapezia with integer sides calculating formula |
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