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Dec 19, 2023Open Access
According to Bertrand’s postulate, we have P _{n} P _{n}≥P _{n 1}. Is it true that for all n>1 then P _{n1} P _{n}≥P _{n 1}? Then P _{n} P _{ni}>P _{n j} where n≥N, N is a large enough value and i, j are natural numbers?
Feb 23, 2023Open Access
This paper attempts to express imaginary number with chemical nucleotide bases (A T, G, C and U) as regards to Quantum Perspective Model. At first, the exact Euler’s formula was written just like as in here “e ^{xi} = cos(x) i·sin(x)”. Secondly, twin pi is substituted for x(x = 2Π). Thirdly, the result of this process equals to “e ^{2iπ} = cos(2Π) i·sin(2Π)”. Fourthly, sort up this formula just like as in here: “e ^{2iπ} = 1 i0” = 1. Fifthly, multiply both sides of th...
Mar 30, 2022Open Access
One of the irrational numbers is the square root of ten number. This article researches whether there is a link between the square root of ten number and the genetic sequences. At first, the square root digits of the number ten after the comma are summed one by one. Secondly, the result of the addition corresponds to the nucleotide bases. Thirdly the results thus obtained are expressed as nucleotide bases (A, T, C and G). (A) Adenine, (T) Thymine, (C) Cytosine and (G) Guanine. From this point of...
Mar 24, 2022Open Access
According to Quantum Perspective Model, this article researches whether there is a link between the square root of seven numbers and the genetic sequences. At first, the square root digits of the number seven after the comma are added respectively. Secondly, the resulting sum corresponds to the nucleotide bases, the results obtained in this way are expressed as nucleotide bases. (A, T, C, G, and U). (A) Adenine, (T) Thymine, (C) Cytosine, (G) Guanine, (U) Uracil. From this point of view, when th...
Aug 19, 2021Open Access
At least a minority of planets, moons and other bodies exist within significant external astrophysical fields. The ambient field problem is more relevant to these bodies than the classical dynamo problem, but remains relatively little studied. This paper will concern with the effect of axisymmetric and nonaxi symmetric ambient field on a spherical, axisymmetric dynamo model, through nonlinear calculations with αquenching feedback. Ambient fields of varying strengths are imposed in the model. ...
Jan 27, 2021Open Access
According to Quantum Perspective Model, this article researches whether there is a link between the square root of three numbers and the genetic codes. At first, when the digits of the square root of three numbers [1] after the comma are converted from decimal (10) number base system to binary (2) number base system, it corresponds to nucleotide bases. Secondly, the results obtained by this way are expressed as nucleotide bases (A, T, C, G, and U), (A) Adenine, (T) Thymine, (C) Cytosine, (G) Gua...
Jan 27, 2021Open Access
According to Quantum Perspective Model, this article researches whether there is a link between the square root of two numbers and the genetic codes. At first, when the digits of the square root of two numbers after the comma are converted from decimal (10) number base system to binary (2) number base system, it corresponds to nucleotide bases. Secondly, the results obtained by this way are expressed as nucleotide bases (A, T, C, G, and U): (A) Adenine, (T) Thymine, (C) Cytosine, (G) Guanine, (U...
May 21, 2020Open Access
In this paper, we find the polynomials, indices and average distance for Schultz and modified Schultz of vertex identification chain for 4cycle and 4 cycle complete.
Mar 23, 2020Open Access
This article investigated the idea of Shape of numbers and introduced new operators. The idea divides all products of k distinct integers in [1, n ？ 1] into 2K？1 catalogs and derives the calculation formula of every catalog. As a simple deduction, a direct formula of the Stirling numbers of the first kind S1(n, n ？ k) and a simple recursive formula of Stirling numbers of the second kind S2(n, n ？ k) are obtained. By analyzing the Shape of numbers, new congruence formulas are obtained.
Sep 02, 2016Open Access
A prime gap is the difference between two successive
prime numbers. Prime gaps are casually thought to occur randomly. However, the
“ktuple conjecture” suggests that prime
gaps are nonrandom by estimating how often pairs, triples and larger groupings
of primes will appear. The ktuple
conjec ...
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