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`Journal of Applied MathematicsVolume 2012 (2012), Article ID 748343, 11 pageshttp://dx.doi.org/10.1155/2012/748343`
Research Article

## A New Calculation for Boolean Derivative Using Cheng Product

Department of Mathematics, Tongji University, Shanghai 200092, China

Received 23 July 2012; Revised 5 September 2012; Accepted 19 September 2012

Academic Editor: Erik Van Vleck

Copyright © 2012 Hao Chen and Jitao Sun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

The matrix expression and relationships among several definitions of Boolean derivatives are given by using the Cheng product. We introduce several definitions of Boolean derivatives. By using the Cheng product, the matrix expressions of Boolean derivative are given, respectively. Furthermore, the relationships among different definitions are presented. The logical calculation is converted into matrix product. This helps to extend the application of Boolean derivative. At last, an example is given to illustrate the main results.