1) multiplier magic square of non-geometric progression
非等比数列乘幻方
1.
It initia1ly probes whether any natural number N can be used as a mumerical value of even order multiplier magic square to construct a multiplier magic square of non-geometric progression.
给出了单偶数阶和双偶数阶非等比数列乘幻方的构造方法，把乘幻方的研究从等比数列推广到了非等比数列；探讨了以任给自然数N为偶阶乘幻方值构造非等比数列乘幻方。
2) non geometrical sequence
非等比数列
1.
In this paper, a constructive method for a kind of single even order magic squares generated by non geometrical sequences is obtained and realized on computer.
本文得出了一类单偶阶非等比数列乘幻方的构造法并用微机实现它。
3) geometrical sequence
等比数列
1.
This article discussed the new qualities and the prove of geometrical sequence and arithmetical sequence.
介绍了等比数列和等差数列的两个新性质及其发现、证
4) numerical value of multiplier magic square
乘幻方值
5) multiplicative magic square
乘幻方
1.
A new simple and convenient method for constructing multiplicative magic square is suggested in this paper,and its concrete algorithms are given.
提出一种新的构造乘幻方的简便方法，并给出具体算
6) addition multiplication magic squares
加乘幻方
1.
This paper is proved that there exists no addition multiplication magic squares of order 4,k th(k≥2) degree magic squares of order 4,pandiagonal addition multiplication magic squares of order 5,pandiagonal k th (k 2)degree magic squares of order 5.
文 [2 ,3 ,4 ,5,6,7]证明 2 m ( m≥ 3 ) ,( 2 k+1 ) 2阶平方幻存在 ,mn,( m,n {1 ,2 ,3 ,6})加乘幻方存在 ,本文继文 [8]后 ,证明 4阶加乘幻方 ,4阶 k(≥ 2 )次幻方 ,5阶泛对角线加乘幻方 ,5阶泛对角线 k(≥ 2 )次幻方均不存
补充资料：等比数列
| 等比数列 geometric sequence 从第二项起每一项与前一项的比等于同一个数的数列。又称几何数列。相邻两项的比称为等比数列的公比，如果用q表示等比数列a1，a2，…，an…的公比，那么  等比数列的通项公式是an＝a1qn-1，用a1和q也可将等比数列写成a1，a1q1…，a1qn-1，…（a1≠0，q1≠0）。等比数列的前n项的和Sn可以用a1和q表为  由 得 到 ＝an-1·an+1，从而有 ，可知 等比数列从第二项起，每项的绝对值等于前后两个相邻项绝对值的几何平均值。 |
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参考词条