General Mathematics

2407 Submissions

[3] viXra:2407.0109 [pdf] submitted on 2024-07-19 02:39:32

Collatz’s Conjecture, Proposal, Solution and Analysis

Authors: Daniel Oliivares
Comments: 5 Pages.

The Collatz conjecture has baffled mathematicians for decades due to its apparent simplicity and the lack of a formal proof. In the next Paper we will address a possible solution to the conjecture by modifying it and the reasons for it and we will analyze determining factors for it. all conditions are met.
Category: General Mathematics

[2] viXra:2407.0073 [pdf] submitted on 2024-07-11 20:19:54

Some Missed Opportunities for Archimedes and Early pi-Computors

Authors: Warren D. Smith
Comments: 4 Pages.

We point out some simple improvements to Archimedes' "regular polygon methods" for computing and bounding π , which all the workers before 1650 could have used, but did not. All methods employed before the 1970s to compute the first D decimals of π required order D or more arithmetic operations (±, ×, ÷, x1/2, x-1/2). But we shall show that if Archimedes or his followers had been a bit smarter, they could have sped that up to O(D2/3).
Category: General Mathematics

[1] viXra:2407.0057 [pdf] submitted on 2024-07-08 20:06:34

Revised Attempt to Prove the Collatz Conjecture

Authors: Krishna Paliwal
Comments: 4 Pages.

TThis paper tries to prove the Collatz Conjecture using a rigorous and logical approach trying to break down 80+ year old and proving that allsequences will eventually always reach to 1.
Category: General Mathematics