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Boolean Differential Calculus and its Application to Switching Theory
- Source :
- IEEE Transactions on Computers. :409-420
- Publication Year :
- 1973
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 1973.
-
Abstract
- After a brief outline of classical concepts relative to Boolean differential calculus, a theoretical study of the main differential operators is undertaken. Algebraic equations relating the classical concepts of prime implicants and of the discrete Fourier transform of a Boolean function to the differential operators are derived. Application of these concepts to several important problems arising in switching practice is mentioned.
- Subjects :
- Product term
Parity function
Two-element Boolean algebra
Time-scale calculus
Boolean algebras canonically defined
Theoretical Computer Science
Boolean algebra
Algebra
symbols.namesake
Computational Theory and Mathematics
Hardware and Architecture
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
symbols
Boolean expression
Stone's representation theorem for Boolean algebras
Software
Mathematics
Subjects
Details
- ISSN :
- 00189340
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Computers
- Accession number :
- edsair.doi...........bb4ce951c56d435fd75d5f455e6508d6