| 数独方设计及其优良性 |
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| 引用本文： | 李晓辉,岳荣先.数独方设计及其优良性[J].西安文理学院学报,2011(2):1-5. |
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| 作者姓名： | 李晓辉 岳荣先 |
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| 作者单位： | [1]铜川职业技术学院基础部,陕西铜川727031 [2]上海师范大学数理学院,上海200234 |
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| 基金项目： | 国家自然科学基金项目（11071168）; 上海市教育委员会科研创新项目（11zz116） |
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| 摘 要： | 提出数独方试验设计（SSD）的定义,给出各阶数独方生成的方法,进而构造出各种水平的数独方表.研究数独方设计的优良性,数独方设计表具有正交性,在均匀性测度上,数独方设计与同水平同因素正交设计或均匀设计比较,前者的几种偏差值均较优于后者.
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| 关 键 词： | 数独方 数独方设计 优良性 正交性 均匀性 |
Sudoku Square Design and Its Optimal Property |
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| LI Xiao-hui,YUE Rong-xian.Sudoku Square Design and Its Optimal Property[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2011(2):1-5. |
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| Authors: | LI Xiao-hui YUE Rong-xian |
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| Institution: | 1.Fudamental Department,Tongchuan Technology Institute,Tongchuan 727031,China;2.Mathematics ＆ Science College,Shanghai Normal University,Shanghai 200234,China) |
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| Abstract: | This study defines Sudoku Square Design（SSD）,proposes the methods of generating Sudoku square of all orders,and designs the tables of Sudoku square of various levels.The paper also makes a study of the optimal property of SSD.The design tables of Sudoku square have orthogonality.In the uniform measures,compared with orthogonal design or uniform design at the same level and of the same factors,SSD proves to be superior than the latter in terms of several deviations. |
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| Keywords: | Sudoku square SSD optimal property orthogonality uniformity |
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