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从布尔代数到布尔微积分

程代展 赵寅 徐相如

控制理论与应用2011,Vol.28Issue(10):1513-1523,11.
控制理论与应用2011,Vol.28Issue(10):1513-1523,11.

从布尔代数到布尔微积分

From Boolean algebra to Boolean calculus

程代展 1赵寅 1徐相如1

作者信息

  • 1. 中国科学院数学与系统科学研究院系统科学研究所,北京100190
  • 折叠

摘要

Abstract

Boolean functions are of special importance, though they are the simplest class of finite-valued functions. It is widely applied to many fields, including information, control and so on. The theoretical foundation of Boolean functions is introduced in this paper, involving some main results from Boolean algebra to Boolean Calculus, applications in information and control and some recent frontiers and developments. The semi-tensor product approach to these fields is introduced emohaticallv.

关键词

布尔函数/.布尔代数/布尔导数/布尔积分/矩阵半张量积

Key words

Boolean function/Boolean algebra/Boolean derivative/Boolean integral/semi-tensor product of matrices

分类

数理科学

引用本文复制引用

程代展,赵寅,徐相如..从布尔代数到布尔微积分[J].控制理论与应用,2011,28(10):1513-1523,11.

基金项目

国家自然科学基金资助项目(61074114,60736022,60821091). ()

控制理论与应用

OA北大核心CSCDCSTPCD

1000-8152

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