%0 Journal Article
%T From Boolean algebra to Boolean calculus<br>从布尔代数到布尔微积分
%A CHENG Dai-zhan
%A ZHAO Yin
%A XU Xiang-ru
%A <br>程代展
%A 赵寅
%A 徐相如
%J 控制理论与应用
%D 2011
%I 
%X 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 emphatically.
%K Boolean function
%K Boolean algebra
%K Boolean derivative
%K Boolean integral
%K semi-tensor product of matrices<br>布尔函数
%K 布尔代数
%K 布尔导数
%K 布尔积分
%K 矩阵半张量积
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=7FB288757ED284A003EA88307E5B49A0&yid=9377ED8094509821&vid=D3E34374A0D77D7F&iid=F3090AE9B60B7ED1&sid=F3699C8B183A53ED&eid=777A6C995272142B&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=46