n维四次勾股数及n维五次勾股数的一般表达式

Universal formula of n-dimensional four-degree and five-degree pythagorean number

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.

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 ） .