eBook - PDF

Boolean Differential Equations

Name: Boolean Differential Equations
ISBN: 9783031798610

Bernd Steinbach,

Christian Posthoff,

English
PDF
Available on iOS & Android

eBook - PDF

Boolean Differential Equations

Bernd Steinbach,

Christian Posthoff,

About this book

The Boolean Differential Calculus (BDC) is a very powerful theory that extends the structure of a Boolean Algebra significantly. Based on a small number of definitions, many theorems have been proven. The available operations have been efficiently implemented in several software packages. There is a very wide field of applications. While a Boolean Algebra is focused on values of logic functions, the BDC allows the evaluation of changes of function values. Such changes can be explored for pairs of function values as well as for whole subspaces. Due to the same basic data structures, the BDC can be applied to any task described by logic functions and equations together with the Boolean Algebra. The BDC can be widely used for the analysis, synthesis, and testing of digital circuits. Generally speaking, a Boolean differential equation (BDE) is an equation in which elements of the BDC appear. It includes variables, functions, and derivative operations of these functions. The solution of such a BDE is a set of Boolean functions. This is a significant extension of Boolean equations, which have sets of Boolean vectors as solutions. In the simplest BDE a derivative operation of the BDC on the left-hand side is equal to a logic function on the right-hand side. The solution of such a simple BDE means to execute an operation which is inverse to the given derivative. BDEs can be applied in the same fields as the BDC, however, their possibility to express sets of Boolean functions extends the application field significantly.

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Yes, you can access Boolean Differential Equations by Bernd Steinbach,Christian Posthoff in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Hardware. We have over one million books available in our catalogue for you to explore.