Algebra

2504 Submissions

[2] viXra:2504.0196 [pdf] submitted on 2025-04-30 21:43:15

Six Simultaneous Equations

Authors: Oliver Couto
Comments: 4 Pages.

In the below paper we have attempted to find integer solution to six simultaneous equations. In math literature we have not found a similar equation that has been investigated before. The equations consist of three quadratics on the left hand side which sum up to a square on the right side. Even-though the equations are quadratic in nature the degree of difficulty increases with the number of equations considered. The author considered six equations simultaneously. Others can try & solve simultaneous equation which are more than six in the group.
Category: Algebra

[1] viXra:2504.0126 [pdf] submitted on 2025-04-20 00:31:27

Recursive Polynomial Machine (RPM) Method

Authors: Immense Raj Subedi
Comments: 10 Pages. (Note by viXra Admin: Please cite and listed scientific references; Please submit article written with AI assistance to ai.viXra.org)

This paper introduces a new method for generating polynomials based on recursive difference analysis, termed the Recursive Polynomial Machine (RPM). RPM efficiently derives the exact closed-form polynomial by recursively analyzing finite differences until stabilization, ensuring minimal degree. RPM halts when the sequence reaches a steady difference, ensuring minimal polynomial degree.
Category: Algebra