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| viXra.org > General Mathematics > 2003 |
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[15] viXra:2003.0620 [pdf] submitted on 2020-03-28 12:23:14
Authors: Yuji Masuda
Comments: 1 Page.
This is a easy proof of Definition series.
Category: General Mathematics
[14] viXra:2003.0612 [pdf] submitted on 2020-03-28 09:07:21
Authors: Theophilus Agama
Comments: 5 Pages.
In this note we introduce and study the rockers function $\lambda(n)$ on the natural numbers. We establish an asymptotic for the rockers function on the integers and exploit some applications. In particular we show that \begin{align}\lambda(n)\sim \frac{n^{n-{\frac{1}{2n}-\frac{1}{2}}}\sqrt{2\pi}}{e^{n+\Psi(n)-1}}\nonumber
\end{align}where \begin{align}\Psi(n):=\int \limits_{1}^{n-1}\frac{\sum \limits_{1\leq j\leq t}\log (n-j)}{(t+1)^2}dt.\nonumber
\end{align}
Category: General Mathematics
[13] viXra:2003.0562 [pdf] submitted on 2020-03-25 12:15:05
Authors: Yuji Masuda
Comments: 1 Page.
This is the proof of Definition series.
Category: General Mathematics
[12] viXra:2003.0388 [pdf] submitted on 2020-03-18 12:07:40
Authors: Wiroj Homsup
Comments: 2 Pages.
Based on functional equations of the Riemann Ξ-function and an application of the L’Hopital rule, it is shown that the Riemann Ξ-function has only real zeros.
Category: General Mathematics
[11] viXra:2003.0282 [pdf] submitted on 2020-03-13 17:21:57
Authors: Orgest ZAKA
Comments: 11 Pages.
In this article, we are giving the meaning of a ’New Multiplication’ for the matrices. I have studied the properties of this multiplication in two cases, in the case of 2-D matrices and in the case of 3-D matrices, with elements from over whatever field $F$.
Category: General Mathematics
[10] viXra:2003.0219 [pdf] replaced on 2022-02-22 20:10:04
Authors: Berndt Gensel
Comments: 29 Pages.
It’s well known that every prime number $p \geq 5$ has the form $6k-1$ or $6k+1$.
We’ll call $k$ the generator of $p$. Twin primes are distinghuished due to a common generator
for each pair. Therefore it makes sense to search for the twin primes on the level of their
generators. The present paper developes a sieve method to extract all twin primes on the level
of their generators. On this basis important properties of the set of the twin
prime generators will be studied. Finally the Twin Prime Conjecture is proved based on the
studied properties.
Category: General Mathematics
[9] viXra:2003.0185 [pdf] submitted on 2020-03-09 05:26:04
Authors: Francisco Moga Moscoso
Comments: 9 Pages. mmoga@uma.es
el objetivo de este artículo es el de dar a conocer a la comunidad científica una posible demostración de la conjetura de Goldbach-Euler, de tal manera que pueda ser estudiada y así contribuir a la ciencia dando a conocer nuevas vías posibles de investigación. El autor, al no ser conocido en la comunidad de matemáticos pues no le aceptan los manuscritos en el sistema actual de publicaciones en revistas científicad, es decir es rechazado directamente y ni siquiera contestan a los emails, por tanto lo publicamos en acceso abierto para mostrarlo a quién quiera verlo.
Category: General Mathematics
[8] viXra:2003.0158 [pdf] submitted on 2020-03-08 12:02:03
Authors: Hashnayne Ahmed
Comments: 4 Pages.
Stochastic Programming is an asset for the next world researchers due to its uncertainty calculations, which has been skipped in deterministic world experiments as it includes complicated calculations. Two-stage stochastic programming concerns two time period decisions based on some random parameters obtained from past experience or some sort of survey. The objective function for formulating two-stage stochastic programming with fixed recourse includes two parts: first-stage forecast and second-stage fixed decisions based on the experiment results. The constraints are similar to the normal optimization techniques rather some adjustments of requirements and technology assets. The fixed recourse decisions are sort of decisions from the deterministic world. Formulation techniques of two-stage stochastic programming with fixed recourse may be used for further complications arises in stochastic programming like complete recourse problems, multi-stage problems, etc. And that’s why Two-stage stochastic programming with fixed recourse is called the primary model for stochastic programming.
Category: General Mathematics
[7] viXra:2003.0151 [pdf] submitted on 2020-03-07 15:05:53
Authors: Yuji Masuda
Comments: 1 Page.
This Differential calculus② is focused by Definition series.
Category: General Mathematics
[6] viXra:2003.0139 [pdf] submitted on 2020-03-07 07:05:22
Authors: Yuji Masuda
Comments: 1 Page.
This Differential calculus is focused by Definition series.
Category: General Mathematics
[5] viXra:2003.0116 [pdf] submitted on 2020-03-06 07:37:11
Authors: Egger Mielberg
Comments: 12 Pages.
In an attempt to create a theory for describing such a human phenomenon as a possibility to self-learning, we need to create an instrument for dynamic modeling of sense-to-sense (S2S) [3] associations between heterogeneous objects. This instrument would help understand the nature of the cause-to-effect relationship [4] and the creation of new knowledge.
In this article, we describe one of the instruments, sense derivative, that sheds light on the nature of forming new knowledge in the field of Artificial Intelligence.
Category: General Mathematics
[4] viXra:2003.0105 [pdf] submitted on 2020-03-04 22:56:44
Authors: Felix M. Lev
Comments: 32 Pages. The paper is published in Symmetry, vol. 12(3), article number 409 (2020), doi: 10.3390/sym12030409
In standard quantum theory, symmetry is defined in the spirit of Klein's Erlangen Program: the background space has a symmetry group, and the basic operators should commute according to the Lie algebra of that group. We argue that the definition should be the opposite: background space has a direct physical meaning only on classical level while on quantum level symmetry should be defined by a Lie algebra of basic operators. Then the fact that de Sitter symmetry is more general than Poincare one can be proved mathematically. The problem of explaining cosmological acceleration is very difficult but,
as follows from our results, there exists a scenario that the phenomenon of cosmological acceleration can be explained proceeding from basic principles of quantum theory. The explanation has nothing to do with existence or nonexistence of dark energy and therefore the cosmological constant problem and the dark energy problem do not arise. We consider finite quantum theory (FQT) where states are elements
of a space over a finite ring or field with characteristic $p$ and operators of physical quantities act in this space. We prove that, with the same approach to symmetry, FQT and finite mathematics are more general than standard quantum theory and classical mathematics, respectively: the latter theories are special degenerated cases of the former ones in the formal limit $p\to\infty$.
Category: General Mathematics
[3] viXra:2003.0057 [pdf] replaced on 2020-06-05 03:57:54
Authors: Suaib Lateef
Comments: 3 pages
I present a proof of some trigonometric identities involving sin(x), cos(x), sinh(x) and cosh(x).
Category: General Mathematics
[2] viXra:2003.0040 [pdf] submitted on 2020-03-02 01:38:02
Authors: Yuji Masuda
Comments: 1 Page.
This is a quaternion by definition.
Category: General Mathematics
[1] viXra:2003.0034 [pdf] submitted on 2020-03-02 08:10:22
Authors: Hamidreza Mirzanejad
Comments: 4 Pages.
This is about a method of teaching or learning math & science,by which we could teach/learn FAST, EFFORTLESSLY,and ENJOYABLY.
Category: General Mathematics
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