| 正交泛对角线拉丁方与泛对角线幻方(Ⅱ) |
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| 引用本文： | 张世德.正交泛对角线拉丁方与泛对角线幻方(Ⅱ)[J].河南师范大学学报(自然科学版),1991(1). |
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| 作者姓名： | 张世德 |
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| 作者单位： | 河南师范大学数学系 |
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| 基金项目： | 河南省科委自然科学基金 |
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| 摘 要： | 本文给出数集构成对角线幻方的必要条件,证明由数集M={1,2,…,(4t+2)~2}(t≥0)不能构成4t+2阶泛对角线幻方,并证明2t(t≥1)阶泛对角线拉丁方不存在。
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| 关 键 词： | 拉丁方 泛对角线拉丁方 幻方 泛对角线幻方 |
ORTHOGONAL PANDIAGONAL LATIN SQUARES AND PANDIAGONAL MAGIC SQUARE(Ⅱ) |
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| Zhang Shide.ORTHOGONAL PANDIAGONAL LATIN SQUARES AND PANDIAGONAL MAGIC SQUARE(Ⅱ)[J].Journal of Henan Normal University(Natural Science),1991(1). |
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| Authors: | Zhang Shide |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper gives necessary condition constructing pandiagonal magic square for number set and proves that pandiagnal magic squareof order 4t+2 (t>0) can not be constructed from number set M={1,2,...,(4t+2)~2}, further, it is proved that there exists no pandiagonal Latin square of order 2t for every positive integer t t>1. |
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| Keywords: | Latin square Pandiagonal Latin square magic square Pandiagonal magic square |
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