General Mathematics

2105 Submissions

[5] viXra:2105.0181 [pdf] replaced on 2021-07-15 02:22:46

Prove Np not equal P using Markov Random Field and Boolean Algebra Simplification

Authors: Sing Kuang Tan
Comments: Number of pages is 35

In this paper, we proved that Non-deterministic Polynomial time complexity (NP) is not equal to Polynomial time complexity (P). We developed the Boolean algebra that will infer the solution of two variables of a Non-deterministic Polynomial computation time Markov Random Field. We showed that no matter how we simplified the Boolean algebra, it can never run in Polynomial computation time (NP not equal to P). We also developed proof that all Polynomial computation time multi-layer Boolean algebra can be transformed to another Polynomial computation time multi-layer Boolean algebra where there are only 'Not' operations in the first layer. So in the process of simplifying the Boolean algebra, we only need to consider factorization operations that only assumes only 'Not' operations in the first layer. We also developed Polynomial computation time Boolean algebra for Markov Random Field Chain and 2sat problem represented in Markov Random Field form to give examples of Polynomial computation time Markov Random Field.
Category: General Mathematics

[4] viXra:2105.0036 [pdf] submitted on 2021-05-07 23:55:27

Axiom for Zero: Conjugation Properties

Authors: Arjun Dahal
Comments: 1 Page.

In this article, we have discussed about conjugation property of zero, that seems vividly nonsense, and contradictical, along with Kritima's Equation.
Category: General Mathematics

[3] viXra:2105.0022 [pdf] submitted on 2021-05-05 15:28:15

Synthesizing Regular, Iterative, and Recursive Integration by Parts

Authors: Timothy W. Jones
Comments: 11 Pages.

We give a template for all forms of integration by parts: single use, iterative, and recursive.
Category: General Mathematics

[2] viXra:2105.0018 [pdf] submitted on 2021-05-04 21:01:31

New Roots Algorithm for Any Index Using the Same Method

Authors: Zeolla Gabriel Martin
Comments: 15 Pages. [Corrections are made by viXra Admin to comply with the rules of viXra.org]

The proposal of this document was to find an alternative to the traditional forms of calculating radicals using an algorithm that works for any index, as the only method. This algorithm is designed for the set of integers, so I use the rest as the basis for the development of this document.
Category: General Mathematics

[1] viXra:2105.0008 [pdf] submitted on 2021-05-03 20:08:52

Method to Encrypt Numbers in Binary System

Authors: Juan Elias Millas Vera
Comments: 3 Pages.

This paper is an introduction to number cryptography. We use base-2 numerical systems and position properties to create a method which can convert numbers from binary to decimal and from decimal to binary in different ways depending of the integer used.
Category: General Mathematics