| 简化分解图在计算布尔e-导数中的应用 |
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| 引用本文： | 厉晓华,杭国强.简化分解图在计算布尔e-导数中的应用[J].浙江大学学报(理学版),2013,40(6):646-649. |
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| 作者姓名： | 厉晓华 杭国强 |
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| 作者单位： | [1]浙江大学信息中心,浙江杭州310027 [2]浙江大学城市学院信息与电气工程学院,浙江杭州310015 |
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| 基金项目： | 国家自然科学基金资助项目（60971061） |
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| 摘 要： | 为简化与-或-非代数系统中一阶和n 阶布尔e-导数的计算过程,提出了一种基于简化分解图的新方法.该方法通过计算简化分解图相应列的与运算得到一阶布尔e-导数,n 阶布尔e-导数通过计算倒置简化分解图来得到.该方法同样适用于含任意项逻辑函数一阶和n 阶布尔e-导数的计算.应用实例表明该方法具有直观、简单等特点.
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| 关 键 词： | 简化分解图 布尔e-导数 任意项 逻辑函数 |
| 收稿时间： | 2012-06-27 |
The application of simplify decomposition maps in calculating Boolean e-derivative |
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| LI Xiao-hua,HANG Guo-qiang.The application of simplify decomposition maps in calculating Boolean e-derivative[J].Journal of Zhejiang University(Sciences Edition),2013,40(6):646-649. |
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| Authors: | LI Xiao-hua HANG Guo-qiang |
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| Institution: | 1. Campus Information Center, Zhejiang University, Hangzhou 310027, Chi- na; 2. School of Information ＆ Electrical Engineering, Zhejiang University City College, Hangzhou 310015, China) |
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| Abstract: | To simplify the process of calculating the first-order Boolean e-derivative and the n-order Boolean e deriver of AND/OR/NOT type logic function, a new algorithm of calculating Boolean e-derivative by using simplified de- composition map was proposed. The first-order Boolean e-derivative was calculated by doing AND operation corre- sponding bits of simplified decomposition maps. The n-order Boolean e-derivative was obtained by doing AND opera- tion corresponding bits of inversive simplified decomposition maps. The algorithm can be applied to the first-order and n-order Boolean e-derivative with arbitrary items. The results showed that the presented method was simple and convenient for operation. |
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| Keywords: | simplify decomposition map Boolean e-derivative arbitrary term logic function |
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