| n维超立方体中隐含低维超方体的计数问题 |
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| 引用本文： | 徐露霞,陈芳跃.n维超立方体中隐含低维超方体的计数问题[J].杭州电子科技大学学报,2012,32(2):81-83. |
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| 作者姓名： | 徐露霞 陈芳跃 |
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| 作者单位： | 杭州电子科技大学理学院,浙江杭州,310018 |
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| 摘 要： | 该文以二进前向神经网络中Boolean函数的线性可分与非线性可分问题为背景,主要讨论n维超立方体中隐含低维超方体的计数问题,给出了n维超立方体和它隐含的k维超方体的定义,通过推导运算得到了一个n维超立方体中隐含的n-1维超方体的计数公式,特别地讨论得到了一个四维超立方体中含有的三维方体和二维平面的数量。
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| 关 键 词： | 超立方体 超方体 二进前向神经网络 线性可分性 |
The Number of Low Dimensional Hypercubes Hidden in an n- dimensional Hypercube |
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| XU Lu-xia
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CHEN Fang-yue.The Number of Low Dimensional Hypercubes Hidden in an n- dimensional Hypercube[J].Journal of Hangzhou Dianzi University,2012,32(2):81-83. |
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| Authors: | XU Lu-xia CHEN Fang-yue |
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| Affiliation: | (School of Science,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China) |
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| Abstract: | Based on the background about linear separability or linear inseparability of Boolean function in binary feedward neural network,this paper discusses the number of low dimensional hypercube hidden in an n-dimensional hypercube.A counting formula of（n-1）-dimensional hypercube hidden in an n-dimensional hypercube is given and the number of 3-dimensional cubes and 2-dimensional planes in one 4-hypercube are obtained. |
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| Keywords: | hypercube hyperplane binary feedward neural network linear separability |
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