| 仿射集与仿射变换的若干性质研究 |
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| 引用本文： | 黄占友,庞善臣,高建广.仿射集与仿射变换的若干性质研究[J].山东科技大学学报(自然科学版),2000(4). |
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| 作者姓名： | 黄占友 庞善臣 高建广 |
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| 作者单位： | 山东科技大学信息科学与工程学院!山东泰安271019(黄占友，庞善臣)，山东科技大学团委!山东泰安271019(高建广) |
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| 摘 要： | 对于仿射集和仿射变换提出一些新的概念和性质。对于仿射集，提出了极大仿射无关组的概念，并指出了在平凡与非平凡仿射集中极大仿射无关组与极大线性无关组的关系；对于仿射变换，指出了仿射变换可以由其对一组仿射基的变换来唯一确定。
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| 关 键 词： | 仿射集 仿射变换 极大线性无关组 极大仿射无关组 |
Some Properties of Affine Sets and Affine Transformations |
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| HUANG Zhan-you,PANG Shan-chen,GAO Jian-guang.Some Properties of Affine Sets and Affine Transformations[J].Journal of Shandong Univ of Sci and Technol: Nat Sci,2000(4). |
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| Authors: | HUANG Zhan-you PANG Shan-chen GAO Jian-guang |
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| Abstract: | In this paper,some new concepts and properties abou t affine sets and affine transformations are proposed.For affine sets,the concep t of maximal affinely independent quantities is defined,and we point out the rel ationship between the maximal linearly independent quantities and the maximal af f inely independent quantities in the case of trivial and nontrivial affine sets .For affine transformations,we find that they can be determined uniquely by thei r functions on one affine basis. |
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| Keywords: | affine sets affine transformations maximal linearl y independent quantities maximal affinely independent quantith |
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