Functions and Analysis

    

Division by Zero Calculus in Ford Circles

Authors: Saburou Saitoh

We will refer to an application of the division by zero calculus in Ford circles that have the relations to some criteria of irrational numbers as covering problems and to the Farey sequence $F_n$ for any positive integer $n$. Division by zero, division by zero calculus, $1/0=0/0=z/0=\tan(\pi/2) =0, [(z^n)/n]_{n=0} = \log z$, $[e^{(1/z)}]_{z=0} = 1$, Ford circle, Farey series, Farey intermediate number, packing by circle, criteria of irrational number.

Comments: 10 Pages. I am writing a book on the division by zero calculus and for its purpose, I am collecting the related materials. Please kindly give me your kind information.

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Submission history

[v1] 2020-03-15 20:38:27

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