| 多值模代数中的减法与除法运算及其应用 |
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| 引用本文： | 吴训威 沈继忠. 多值模代数中的减法与除法运算及其应用[J]. 电子学报, 1995, 23(2): 49-52 |
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| 作者姓名： | 吴训威 沈继忠 |
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| 作者单位： | 杭州大学电子工程系 |
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| 摘 要： | 本文提出并讨论了模加与模乘运算的逆运算－模减与模除运算。它们的引入使模代数的取值域扩展到负数与分数，并以此建立相应的对称模代数与分数模代数系统。通过五值逻辑中函数表示的讨论，证明该二种新运算对建立一个功能完整的模代数系统是必要的。
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| 关 键 词： | 模代数 模减运算 模除运算 多值逻辑 |
Subtraction and Division Operations in Multiple-Valued Modulo-Algebra and Their Applications |
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| Wu Xunwei,Shen Jizhong. Subtraction and Division Operations in Multiple-Valued Modulo-Algebra and Their Applications[J]. Acta Electronica Sinica, 1995, 23(2): 49-52 |
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| Authors: | Wu Xunwei Shen Jizhong |
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| Abstract: | Modulo subtraction and modulo division,the inverse operations of modulo addition and modulo multiplication,are proposed and discussed.These two new operations extend the domain to negative and numeric for modulo-algebra,by which the symmetric modulo-algebra system and the numeric modulo-algebra system are esblished.By discussing the function expression of quinary logic,it is shown that these two new operations are necessary for founding a modulo-algebra system with complete functions. |
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| Keywords: | Modulo-algebra Modulo subtraction Modulo division Multivalued logic |
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