| viXra.org > General Mathematics > 2008 |
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| viXra.org > General Mathematics > 2008 |
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[3] viXra:2008.0224 [pdf] replaced on 2020-09-05 09:24:13
Authors: John Yuk Ching Ting
Comments: 54 Pages. Chaos-Fractal, COVID-19, Rigorous proofs for Riemann hypothesis (and explaining the two types of Gram points) and Polignac's and Twin prime conjectures.
We commence this paper by outlining the manifested Chaos and Fractal phenomena derived from our concocted idiom "Complexity arising from Life at the Edge of Chaos-Fractal". COVID-19 originated from Wuhan, China in December 2019. Declared by World Health Organization on March 11, 2020; COVID-19 pandemic has resulted in unprecedented negative global impacts on health and economy. With China and US playing crucial roles, international cooperation is required to combat this "Incompletely Predictable" pandemic. We mathematically model COVID-19 and solve [unconnected] below-mentioned open problems in Number theory using our versatile Fic-Fac Ratio. Computed as Information-based complexity, our innovative Information-complexity conservation constitutes a unique all-purpose analytic tool associated with Mathematics for Incompletely Predictable problems. These problems are literally "complex systems" containing well-defined Incompletely Predictable entities such as nontrivial zeros and two types of Gram points in Riemann zeta function (or its proxy Dirichlet eta function) together with prime and composite numbers from Sieve of Eratosthenes. Correct and complete mathematical arguments for first key step of converting this function into its continuous format version, and second key step of using our unique Dimension (2x-N) system instead of this Sieve result in primary spin-offs from first key step consisting of providing proof for Riemann hypothesis (and explaining closely related two types of Gram points), and second key step consisting of providing proofs for Polignac's and Twin prime conjectures.
Category: General Mathematics
[2] viXra:2008.0114 [pdf] submitted on 2020-08-16 10:13:17
Authors: Zeolla Gabriel Martín
Comments: 8 Pages. Idioma Español
Abstract: This document develops the operation of the algorithm of the square radication in a natural way. Since its mechanisms are synchronized with the square of a binomial, which makes it possible to find the result in a more direct and practical way. Leaving aside the standard algorithm which few teachers teach and many students resist learning by transforming their calculation into a regular use of the calculator.
Category: General Mathematics
[1] viXra:2008.0089 [pdf] replaced on 2021-03-18 08:47:01
Authors: Jose Javier Garcia Moreta
Comments: 6 Pages. corrected some math errors
In this paper we give an integral equation satisfied by the gramm series based on the use of the Borel transform
Category: General Mathematics
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