Exact Arithmetic of Zero and Infinity Based on the Conventional Division by Zero 0/0 = 1

Main Article Content

Okoh Ufuoma

Abstract

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 arithmetic are given in this work in order to show its usefulness.

Keywords:
Zero, innity, division by zero, conventional division by zero, Bhaskara's identity, Bhaskara's impending operation on zero.

Article Details

How to Cite
Ufuoma, O. (2019). Exact Arithmetic of Zero and Infinity Based on the Conventional Division by Zero 0/0 = 1. Asian Research Journal of Mathematics, 13(1), 1-40. https://doi.org/10.9734/arjom/2019/v13i130099
Section
Original Research Article