| 仿射集与极大仿射无关组 |
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| 引用本文： | 吴兴海.仿射集与极大仿射无关组[J].泰山学院学报,2000(6). |
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| 作者姓名： | 吴兴海 |
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| 作者单位： | 胜利油田职工大学计算机系!山东东营257097 |
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| 摘 要： | 在为了便于认识和描述仿射集的结构以及仿射集的其它性质 ,根据仿射无关的定义 ,本文提出了极大仿射无关组的概念 ,并给出了平凡与非平凡的仿射集中极大仿射无关组与极大线性无关组的关系。其中许多关系是线性关系 ,所以它们比较深刻彻底地反映了仿射集与极大仿射无关组的本质特征与内在联系。
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| 关 键 词： | 子空间 极大线性无关组 仿射集 极大仿射无关组 |
Affine Sets and Maxinal Affinely Independent Quantities |
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| Wu Xinghai.Affine Sets and Maxinal Affinely Independent Quantities[J].Journal of Taishan University,2000(6). |
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| Authors: | Wu Xinghai |
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| Abstract: | In order to learn and describe affine sets' structure and their other properties,the concept of maximal affinely independent quantities is proposed through the definition of affine independence,in addition,the relations between maximal affinely independent quantities and maximal linearly independent quantities in trival affine sets and non-trival affine sets are studied respectively in this paper.Because some of the relations given here are equivalent relations,they show the main characters of affine sets,maximal affinely independent quantities and their inherent relationship deeply and thoughly. |
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| Keywords: | Linear Subspace Maximal Linearly Independent Quantities Affine Sets Maximal Affinely Independent Quantities |
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