General Mathematics

2505 Submissions

[6] viXra:2505.0146 [pdf] submitted on 2025-05-21 19:46:49

On Two Unconventional Summation-Derivative Identities

Authors: Samel Datu Castelo
Comments: 1 Page. (Note by ai.viXra.org Admin: Please cite and list sceintific references)

This paper presents two mathematical formulas involving differentiation and summation. While the derivations do not strictly follow conventional mathematical rigor and certain foundational rules are bypassed, the formulas demonstrate surprisingly consistent results. A full formal proof is currently under construction.
Category: General Mathematics

[5] viXra:2505.0143 [pdf] submitted on 2025-05-21 18:21:58

An Integral of the Ising class

Authors: Edgar Valdebenito
Comments: 3 Pages.

In this note, we consider an integral of the Ising class.
Category: General Mathematics

[4] viXra:2505.0096 [pdf] submitted on 2025-05-14 20:23:52

The Singularity Number: A New Framework for Mathematics and Physics

Authors: Seojoon Lee
Comments: 5 Pages. (Note by viXra Admin: Please cite and list scientific references)

This paper defines the number obtained by dividing 1 by 0 as j, and includes an axiomatic system that strengthens this definition. It also suggests the potential for the development of mathematics and physics through this number.
Category: General Mathematics

[3] viXra:2505.0053 [pdf] submitted on 2025-05-08 19:43:19

On Some Results on Infinite Under Certain Assumptions

Authors: Jayant Sharma
Comments: 4 Pages. (Note by viXra Admin: Please cite and list scientific references)

In this document, we formally initiate the study on the mathematical properties of divergent infinity, under certain assumptions, made in the paper. While under these assumptions the paper, certainly proposes a better framework, but doesn't fits for certain standards of mathematical rigour. We define, under an assumption, the $Phi$, which later, is shown to be beyond any mathematical descriptions yet permeates, zero and infinite. In the conclusion, we also present a conclusion not to be sought under mathematical rigour, but rather as a potential field for future study.
Category: General Mathematics

[2] viXra:2505.0034 [pdf] submitted on 2025-05-06 08:00:53

Finite Automata Don’t Solve NP-Complete Problems

Authors: Mirzakhmet Syzdykov
Comments: 3 Pages.

We are giving the full proof towards Cook’s "P versus NP" theorem and our functional conjecture, we also give the full contradiction proof of hierarchy theorem for complexity classes as later we gained new results which are re-described in this work.
Category: General Mathematics

[1] viXra:2505.0033 [pdf] submitted on 2025-05-06 08:48:07

Proof of Contradiction Towards Hierarchy Theorem of Complexity Classes

Authors: Mirzakhmet Syzdykov
Comments: 2 Pages.

We give the full contradiction proof of hierarchy theorem for complexity classes as later we gained new results which are re-described in this work.
Category: General Mathematics