| viXra.org > Functions and Analysis > 2009 |
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| viXra.org > Functions and Analysis > 2009 |
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[11] viXra:2009.0202 [pdf] submitted on 2020-09-29 10:46:37
Authors: Egger Mielberg
Comments: 15 Pages.
As a good try, we took liberty for formula derivation that would allow describing many physical phenomena. In Nature, we face
many situations when a single magnitude is a reason for drastic changes in the whole physical process. A single flexible instrument
for describing processes of any kind would help a lot. We propose a function for generating mathematical models for a process behavior.
We introduce special parameters that will help researchers find an acceptable solution for their tasks. The Dynamics coefficient, as well as dynamic function, is crucial for graph change. It can be used for the dynamic corrections of the whole physical process.
Category: Functions and Analysis
[10] viXra:2009.0194 [pdf] submitted on 2020-09-28 08:21:28
Authors: Saburou Saitoh
Comments: 7 Pages.
In this paper, we will discuss an RLC circuit for missing the capacitor from the viewpoint of the division by zero calculus as a typical example.
Category: Functions and Analysis
[9] viXra:2009.0149 [pdf] submitted on 2020-09-21 20:06:58
Authors: Saburou Saitoh
Comments: 14 Pages.
In this paper, we will give simple and pleasant introductions of the division by zero calculus by means of mean values that give an essence of the division by zero. In particular, we will introduce a new mean value for real valued functions in connection with the Sato hyperfunction theory.
Category: Functions and Analysis
[8] viXra:2009.0147 [pdf] submitted on 2020-09-20 21:26:26
Authors: Joseph Valles
Comments: 1 Page.
This is a method to find the global optimum value of a function. It uses a generalization of the min function applied to the values of a function. I provide a method to find the x value of the global optimum.
Category: Functions and Analysis
[7] viXra:2009.0090 [pdf] submitted on 2020-09-12 10:47:06
Authors: Joseph Valles
Comments: 2 Pages.
This is a method to analytically smooth functions. It involves taking a multiple integral from $x-\delta$ to $x+\delta$. The smoothing amount is denoted by $\delta$.
Category: Functions and Analysis
[6] viXra:2009.0051 [pdf] submitted on 2020-09-06 17:35:08
Authors: Saburou Saitoh
Comments: 13 Pages. Very classical results on the mirror images of the centers of circles and bolls should be the centers as the typical results of the division by zero calculus. For their importance, we would like to discuss them in a self-contained manner.
Very classical results on the mirror images of the centers of circles and bolls should be the centers as the typical results of the division by zero calculus. For their importance, we would like to discuss them in a self-contained manner.
Category: Functions and Analysis
[5] viXra:2009.0049 [pdf] submitted on 2020-09-06 19:41:05
Authors: Federico Pagano
Comments: (Note: Corrections on 1st page are made by viXra Admin to conform with scholarly norm)
We can derive the Cauchy's residue theorem (its general form) just by direct integration of a Taylorseries “without” making any radius go to zero, even without the limit circumference idea take place.
Category: Functions and Analysis
[4] viXra:2009.0048 [pdf] submitted on 2020-09-06 19:45:27
Authors: Federico Pagano
Comments: (Note: Corrections on 1st page are made by viXra Admin to conform with scholarly norm)
From [a] theorem [proposed by the author], we can derive the generalized Dirichlet integral for anynatural value when the whole integrand is raised to the n-th power.
Category: Functions and Analysis
[3] viXra:2009.0045 [pdf] replaced on 2021-08-12 21:02:18
Authors: Teo Banica
Comments: 300 Pages.
The permutation group $S_N$ has a quantum analogue $S_N^+$, which is infinite at $N\geq4$. We review the known facts regarding $S_N^+$, and its versions $S_F^+$, with $F$ being a finite quantum space. We discuss then the structure of the closed subgroups $G\subset S_N^+$ and $G\subset S_F^+$, with particular attention to the quantum reflection groups.
Category: Functions and Analysis
[2] viXra:2009.0013 [pdf] submitted on 2020-09-03 10:53:46
Authors: Hong Lai Zhu
Comments: 36 Pages.
This is the second part of the total paper. Three kinds of Z Transformations are used to get many laws for general solutions of mth-order linear partial differential equations with n variables in the present thesis. Some general solutions of first-order linear partial differential equations, which cannot be obtained by using the characteristic equation method, can be solved by the Z Transformations. By comparing, we find that the general solutions of some first-order partial differential equations got by the characteristic equation method are not complete.
Category: Functions and Analysis
[1] viXra:2009.0005 [pdf] replaced on 2020-09-16 18:13:23
Authors: Bulat N. Khabibullin
Comments: Pages.
We prove that convex functions of finite order on the real line and subharmonic functions of finite order on finite dimensional real space, bounded from above outside of some set of zero relative Lebesgue density, are bounded from above everywhere. It follows that subharmonic functions of finite order on the complex plane, entire and plurisubharmonic functions of finite order, and convex or harmonic functions of finite order bounded from above outside some set of zero relative Lebesgue density are constant.
Category: Functions and Analysis
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