| 素行列式整自仿Tile与和谐对 |
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| 引用本文： | 沈兴灿.素行列式整自仿Tile与和谐对[J].宝鸡文理学院学报(自然科学版),2008,28(4):277-279. |
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| 作者姓名： | 沈兴灿 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 基金项目： | 国家自然科学基金资助项目
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| 摘 要： | 目的讨论整自仿Tile与和谐对之间的关系。方法利用单位根理论分析整自仿Tile及和谐对条件。结果证明了在条件｜D｜=｜det（M，D）｜=p是素数且pZ^n M^2（Z^n）下整自仿Tile与和谐对可以相互蕴含。结论将整自仿Tile与和谐对这两个概念以及两个不同的研究方向紧密联系起来。
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| 关 键 词： | 整自仿Tile 和谐对 digit集 |
Integral self-affine Tiles with prime determinant and compatible pair |
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| SHEN Xing-can.Integral self-affine Tiles with prime determinant and compatible pair[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2008,28(4):277-279. |
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| Authors: | SHEN Xing-can |
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| Institution: | SHEN Xing-can (College of Mathematics and Information Science, Shaanxi Normal University, Xi＇an 710062, Shaanxi, China) |
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| Abstract: | Aim To investigate the relations between integral self-affine Tiles and compatible pair. Methods The theory of vanishing sums of roots of unity is used to analyze integral self-affine Tiles and compatible pair conditions. Results It is proved that integral self-affine Tiles can imply compatible pair under the condition ｜D｜= ｜ det（M, D） ｜=p a prime, pZ^n M^2 （Z^n）, and vice versa. Conclusion Integral self-affine Tiles and compatible pair are closely related to each other. |
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| Keywords: | integral self-affine Tile compatible pair digit set |
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