General Mathematics

2010 Submissions

[8] viXra:2010.0243 [pdf] replaced on 2021-01-13 14:33:44

Solutions to the CMI Millennium Prize Problems

Authors: Jorma Jormakka
Comments: 162 Pages. [Corrections made by viXra Admin to confirm with the requirements on the Replacement Form]

This document of 162 pages contains my solutions to five CMI Millennium Prize problems. Solutions to the remaining two problems are not here, as they are published elsewhere. This version from January 2021 differs from the original one in October 2020 in that I found an error in the 2008 proof of the Riemann Hypothesis and removed it. The 2020 proof is still alive. The Hodge counterexample is still in a journal review. Other papers are not submitted.
Category: General Mathematics

[7] viXra:2010.0148 [pdf] submitted on 2020-10-19 19:39:51

A Rigorous Geometric Proof of the Formula $\sum \limits_{k=1}^{n}(2k-1)=n^2$ and Its Connection to the Binary Goldbach Problem

Authors: Theophilus Agama
Comments: 4 Pages.

In this paper we give a geometric proof of the fact that the sum of all odd numbers up to any given threshold is always a perfect square. We then relate this fact to the binary Goldbach conjecture, one of the oldest unsolved problem in mathematics.
Category: General Mathematics

[6] viXra:2010.0099 [pdf] submitted on 2020-10-15 11:39:21

Notation for Operators Based in Knuth’s Up Arrow

Authors: Juan Elias Millas Vera
Comments: 2 Pages.

With this kind of notation we can use the method of Donald Knuth in iterations to express serial operators with them variables iterated.
Category: General Mathematics

[5] viXra:2010.0081 [pdf] submitted on 2020-10-12 10:22:29

Sense Theory (Part 7): Sense Series

Authors: Egger Mielberg
Comments: 10 Pages. (Title correction is made by viXra Admin)

Any complex mathematical or physical problem can be solved easier if it is broken down into several less complex problems. A similar situation occurs when it is necessary to determine the meaning of big data or several meanings of individual data blocks. A mechanism that could combine objects of various kinds with one meaning would help solve a number of problems of sense logic and semantic analysis. In this article, we describe one of the mechanisms, sense series that allows many different and complex objects to determine the presence of a semantic connection and sense dependence between them.
Category: General Mathematics

[4] viXra:2010.0075 [pdf] submitted on 2020-10-11 11:34:56

Prime Pattern Axis Plane

Authors: Yuji Masuda
Comments: 3 Pages.

This paper is about a pattern of primes.
Category: General Mathematics

[3] viXra:2010.0049 [pdf] submitted on 2020-10-08 08:33:09

A Better Type of Sample Mean?

Authors: D. Williams
Comments: 11 Pages.

A New Class of Sample Means are constructed that seem to better estimate Population Means, at least for some distributions.
Category: General Mathematics

[2] viXra:2010.0026 [pdf] submitted on 2020-10-04 16:06:00

Philosophy of Mathematics and Division by Zero

Authors: Saburou Saitoh
Comments: Pages. **

From the viewpoint of the philosophy of mathematics, we would like to introduce our recent results on the division by zero that has a long and mysterious history.
Category: General Mathematics

[1] viXra:2010.0021 [pdf] replaced on 2020-10-04 07:53:08

Proof of Novel Limit Idea

Authors: Alexa Renner
Comments: 5 Pages.

I wanted to find a postulate that was easier and faster than L’Hospital’s rule for solving limits because it is often extremely challenging to solve these limits with existing ideas. This is a postulate that succeeds in making it easier to solve these limits. I wanted to prove this postulate so that it could become a recognized part of Mathematics as we understand it. This can not only be useful to anyone who needs to deal with limits (think electricians with AC current) but also useful to those who will prove new concepts in Calculus with this postulate. I am using the restrictions of L’Hospital’s rule. This postulate should be used because it is easier and faster to use than L’Hospital’s rule and Trigonometric identities. It also lends itself to proving other arguments very well. It is also faster than existing methods and mathematically sound, as I will prove. This proof has explanations at each step.
Category: General Mathematics