知识状态的不同表达及其应用
The Different Expressions of a Knowledge State and Their Applications

知识状态可用可达阵R的列的布尔并表示,但表示方式不唯一,由此引出累赘表达式和简洁表达式的概念及其作用,并将某些结果推广到多值Q矩阵.
For boolean matrices,any knowledge state is a column of a student Q matrix and it can be expressed as a boolean union of the columns of the reachability matrix R based on the augment algorithm.So there may be several expression forms,a redundant expression and a concise expression are defined,and their applications are given.Some analogues for polytomous Q matrix are given