Number Theory

    

"Eureka" Shift, Taylor Shift, Offset, Symmetry Point, and Symmetry in Polynomials

Authors: Charles Kusniec

In this study we show the existence of three types of shifts in polynomial curves that will always result in integer sequences: 1. "Eureka" shift, 2. Taylor shift, and 3. Offset. Then, we demonstrate that every polynomial equation has a reference point that we call sp - symmetry point. From the symmetry point of any polynomial sequence of integers we can define two types of symmetry and one type of asymmetry. At the end, we name and define asymmetry, and the two types of symmetries.

Comments: 16 Pages.

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Submission history

[v1] 2023-08-23 00:15:19

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