| 优美的均衡组合结构——从均衡性组合问题谈正交拉丁方 |
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| 引用本文： | 屈寅春,毛珍玲,周玲华.优美的均衡组合结构——从均衡性组合问题谈正交拉丁方[J].无锡职业技术学院学报,2010,9(2):56-58. |
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| 作者姓名： | 屈寅春 毛珍玲 周玲华 |
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| 作者单位： | 1. 无锡职业技术学院,基础课教学部,江苏无锡,214121
2. 无锡市蠡园中学,江苏无锡,214073 |
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| 摘 要： | 正交拉丁方是一个相当复杂但有趣的问题,在具体实际中有着广泛的应用。通过分析与解决一个经典均衡性组合问题,引入拉丁方的概念,给出利用有限域构造正交拉丁方的方法与实例,并对正交拉丁方的实际应用作了简述。
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| 关 键 词： | 正交拉丁方 均衡性组合问题 有限域 素数幂 |
The Beautiful Structure of a Balanced Combination:Discussion of Orthogonal Latin Squares from a Balanced Combination |
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| Authors: | QU Yinchun MAO Zhengling ZHOU Linghua |
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| Institution: | 1. Department of Foundation Courese,Wuxi Institute of Technology,Wuxi 214121 ,China; 2. Wuxi Liyuan Middle School,Wuxi 214073 ,China) |
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| Abstract: | Orthogonal Latin Squares is a complex and interesting problem, it has a wide range of applications in specific practice. Based on the analysis and resolution of a balanced combination problem, the article introduced the concept of Latin square, gave method and examples of constructing orthogonal Latin squares by using finite field, and introduced the practical application of orthogonal Latin squares. |
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| Keywords: | orthogonal Latin squares balance combinatorial problem finite field prime power |
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