Mysterious Properties of the Point at Infinity
Saburou Saitoh
TL;DR
This paper explores the unusual properties of the point at infinity in the complex plane using division by zero calculus and stereographic projection, offering new insights into its mathematical nature.
Contribution
It introduces a novel perspective on the point at infinity through division by zero calculus and the Alexandroff compactification, revealing previously unexplored properties.
Findings
Division by zero calculus redefines the point at infinity
The point at infinity exhibits unique properties under stereographic projection
New mathematical insights into the compactification of the complex plane
Abstract
From the viewpoints of the division by zero and the division by zero calculus, we will examine the mysterious properties of the point at infinity in the sense of the Alexandroff one compactification of the complex plane which is realized by the stereographic projection.
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Taxonomy
TopicsMathematics and Applications · Algebraic and Geometric Analysis · Advanced Numerical Analysis Techniques