Title: Optimising processes and generating knowledge by interpreting a new algebraic inequality

Authors: Michael Todinov; Michael Todinov

Addresses: School of Engineering, Computing and Mathematics, Oxford Brookes University, Oxford, Wheatley, OX33-1HX, UK ' School of Engineering, Computing and Mathematics, Oxford Brookes University, Oxford, Wheatley, OX33-1HX, UK

Abstract: This paper focuses on optimising processes and generating knowledge based on interpreting a new algebraic inequality. An interpretation of the new inequality yielded a strategy for reducing the amount of pollutants released from an industrial process. An alternative interpretation of the same inequality established that the deflection of n elastic elements connected in series is at least n2 times larger than the deflection of the same elements connected in parallel, irrespective of the individual stiffness values of the elements. In addition, an alternative interpretation of the new inequality yielded a counter-intuitive result concerning improving the chances of picking a winning lottery ticket. Finally, the paper introduces a method for improving reliability by increasing the level of balancing and novel interpretations of algebraic inequalities related to this method. This is done by assessing the probability of selecting items of the same variety and determining the lower and upper bounds of this probability.

Keywords: algebraic inequalities; interpretation of algebraic inequalities; reducing pollution; increasing balancing.

DOI: 10.1504/IJMIC.2022.10052115

International Journal of Modelling, Identification and Control, 2022 Vol.41 No.1/2, pp.98 - 109

Received: 05 Jul 2021
Accepted: 29 Nov 2021

Published online: 22 Nov 2022 *

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