One question which has occupied mathematicians, engineers and scientists of this age is the problem of Boolean satisfiability (SAT) which asks whether a given CNF formula has at least a satisfying assignment. The goal of this work is to present a novel, efficient and general meth...
Open access
Research Article10.9734/jerr/2024/v26i31096
The subject of Boolean subtraction and division first appeared in the gem Laws of Thought by George Boole of Great Britain. However, this subject has been exiled from the famed Boolean algebra because it was supposed that it leads to illogical expressions. A paper recently publis...
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Research Article10.9734/arjom/2022/v18i930405
The subject of Boolean subtraction and division dates back for over a century to the work of George Boole. Nevertheless, this subject is unfamiliar to us because it has been banished from Boolean algebra. In fact, some authors claim that there is no such thing as Boolean subtract...
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Research Article10.9734/jerr/2021/v20i517316
The essence of this paper is to furnish a simple prime sieving technique which deletes composites from a nite list of natural numbers ending with any given odd digit with the exception of the digit 5, leaving behind prime numbers ending with the given digit. This technique is so...
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Research Article10.9734/arjom/2019/v15i130139
The chief object of this work is to create an exact and consistent arithmetic of zero, denoted 0, and infinity (zero divisor), written as 1/0 and denoted ∞ , based on the conventional division by zero $$ \dfrac{{0}}{{0}}=1. $$ Manifold and undeniable applications of this arithme...
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Research Article10.9734/arjom/2019/v13i130099
This article furnishes a new and simple matrix inversion method which makes full use of the condensation technique of the author of Alice's Adventures in Wonderland, Charles Dodgson. A special feature of this article is the adoption of Bhaskara's Law of Impending Operation on Zer...
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Research Article10.9734/ARJOM/2018/45010
Brahmagupta introduced zero into the genus of real numbers and discussed operations involving it. Of these the operation of division by zero has caused a lot of disputes among mathematicians. The ultimate aim of this work is to clarify and justify Bhaskara’s arithmetic operation...
Open access
Research Article10.9734/ARJOM/2017/36240