General Mathematics

2502 Submissions

[4] viXra:2502.0181 [pdf] submitted on 2025-02-26 21:56:49

The Balance Paradox and Fermat's Theorem

Authors: Vladislav Koshchakov
Comments: 10 Pages.

An unexpected relationship has been found between the weighing procedure on lever scales and the equation of Fermat's theorem. At the same time, it turned out that solutions are possible only for n=2, and for all cases of n>2, the proof of undecidability is of the same type.
Category: General Mathematics

[3] viXra:2502.0175 [pdf] replaced on 2026-03-20 02:23:22

Foundations of Logical Thought

Authors: Johan Noldus
Comments: 97 Pages.

A multitude of mathematical topics is developed from scratch starting from set van theory and going over to topology, linear spaces and mappings, analysis, geometry and relativity theory
Category: General Mathematics

[2] viXra:2502.0117 [pdf] submitted on 2025-02-17 20:43:16

Solutions for Dot Product and Cross Product Equations of Vectors

Authors: Saburou Saitoh
Comments: 10 Pages. (Note by viXra Admin: AI assisted article is in general not acceptable!)

For the fundamental equation $ax=b$, we naturally consider the Moore-Penrose generalized solutions and we obtain the division by zero $b/0=0$ always as its unique solution. So, here, we will consider the solutions of the dot product equation $acdot x= b$ and the cross product equation $ a times x=b$.
Category: General Mathematics

[1] viXra:2502.0014 [pdf] submitted on 2025-02-02 20:59:41

Incorporation of Imaginary and Complex Numbers into a 3D Coordinate System

Authors: Sigrid M.-L. Obenland
Comments: 5 Pages. (Note by viXra Admin: Please cite and list scientific references)

In the scientific literature, complex numbers comprising a real and an imaginary part are represented as a vector in a Gaussian number plane spanned by one coordinate axis representing the imaginary numbers and another orthogonal coordinate axis representing the real numbers. In the following, I show how the imaginary axis and the real axis can be incorporated into a three-dimensional real coordinate system, thereby creating a fused coordinate system of both, real and complex numbers.
Category: General Mathematics