Disjointed sum of products by a novel technique of orthogonalizing ORing

Can Y (2018)


Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2018

Journal

Book Volume: 16

Pages Range: 392-406

Journal Issue: 1

DOI: 10.1515/math-2018-0038

Abstract

This work presents a novel combining method called 'orthogonalizing ORing' which enables the building of the union of two conjunctions whereby the result consists of disjointed conjunctions. The advantage of this novel technique is that the results are already presented in an orthogonal form which has a significant advantage for further calculations as the Boolean Differential Calculus. By orthogonalizing ORing two calculation steps - building the disjunction and the subsequent orthogonalization of two conjunctions - are performed in one step. Postulates, axioms and rules for this linking technique are defined which have to be considered getting correct results. Additionally, a further novel equation for orthogonalization of every Boolean function of disjunctive form is set up which is based on orthogonalizing ORing. Thus, disjointed Sum of Products can be easily calculated in a mathematical way by this equation.

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How to cite

APA:

Can, Y. (2018). Disjointed sum of products by a novel technique of orthogonalizing ORing. Central European Journal of Mathematics, 16(1), 392-406. https://dx.doi.org/10.1515/math-2018-0038

MLA:

Can, Yavuz. "Disjointed sum of products by a novel technique of orthogonalizing ORing." Central European Journal of Mathematics 16.1 (2018): 392-406.

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