Functions and Analysis

    

On the Elementary Function y=|x| and Division by Zero Calculus

Authors: Hiroshi Okumura, Saburou Saitoh, Keitarou Uchida

In this paper, we will consider the elementary function $y=|x|$ from the viewpoint of the basic relations of the normal solutions (Uchida's hyper exponential functions) of ordinary differential equations and the division by zero calculus. In particular, $y^\prime(0) =0$ in our sense and this function will show the fundamental identity with the natural sense $$ \frac{0}{0} =0 $$ with the sense $$ \frac{1}{0} =0 $$ that may be considered as $0$ as the inversion of $0$ through the Uchida's hyper exponential function.

Comments: 7 Pages.

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[v1] 2021-07-08 01:32:16

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