| n维四次勾股数及n维五次勾股数的一般表达式 |
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| 引用本文： | 关永刚,关春河.n维四次勾股数及n维五次勾股数的一般表达式[J].高师理科学刊,2008,28(5). |
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| 作者姓名： | 关永刚 关春河 |
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| 作者单位： | 1. 清华大学,电机系,北京100084
2. 黑龙江省龙江县发达中学,黑龙江,龙江161102 |
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| 摘 要： | 运用初等数学方法,推导出三维四次勾股数与四维四次勾股数的一般表达公式.并且推广为n(n≥3,n∈N+,N+为正整数集)维四次勾股数的一般表达公式.进而推导出n(n≥3,n∈N+,N+为正整数集)维五次勾股数的一般表达公式.
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| 关 键 词： | 三维四次勾股数 四维四次勾股数 n维四次勾股数 n维五次勾股数 |
Universal formula of n-dimensional four-degree and five-degree pythagorean number |
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| GUAN Yong-gang,GUAN Chun-he.Universal formula of n-dimensional four-degree and five-degree pythagorean number[J].Journal of Science of Teachers＇College and University,2008,28(5). |
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| Authors: | GUAN Yong-gang GUAN Chun-he |
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| Institution: | GUAN Yong-gang1,GUAN Chun-he2(1.Department of Electrical Engineering,Tsinghua University,Beijing 100084,China,2.Fada Middle School,Longjiang 161102,China) |
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| Abstract: | The universal formula of n-dimensional four-degree pythagorean number has been extended out after the deduction of the universal formulas of three-dimensional four-degree pythagorean number and three-dimensional four-degree pythagorean number based on fundamental mathematics methods.Further more,deduced the universal formula of n-dimensional five-degree pythagorean number were deduced(n ≥ 3,n∈N +,N+is the positive integer sets). |
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| Keywords: | three-dimensional four-degree pythagorean number four-dimensional four-degree pythagorean number n-dimensional four-degree pythagorean number n-dimensional five-degree pythagorean number |
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