| viXra.org > Functions and Analysis > 1909 |
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| viXra.org > Functions and Analysis > 1909 |
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[5] viXra:1909.0658 [pdf] submitted on 2019-09-30 21:12:36
Authors: Saburou Saitoh
Comments: 3 Pages. I think many and many mathematicians will be able to enjoy the result, indeed, over mathematicians. It will be a general interest.
In this short note, we will consider the value of the function $\exp {(ax)}/f(a)$ at $a=0$ for $f(a)=0$. This case appears for the construction of the special solution of some differential operator $f(D)$ for the polynomial case of $D$ with constant coefficients. We would like to show the power of the new method of the division by zero calculus, simply and typically.
Category: Functions and Analysis
[4] viXra:1909.0572 [pdf] submitted on 2019-09-26 16:06:21
Authors: Bertrand Wong
Comments: 4 Pages.
The Navier-Stokes differential equations describe the motion of fluids which are incompressible. The three-dimensional Navier-Stokes equations misbehave very badly although they are relatively simple-looking. The solutions could wind up being extremely unstable even with nice, smooth, reasonably harmless initial conditions. A mathematical understanding of the outrageous behaviour of these equations would dramatically alter the field of fluid mechanics. This paper describes why the three-dimensional Navier-Stokes equations are not solvable, i.e., the equations cannot be used to model turbulence, which is a three-dimensional phenomenon. [The paper is published in an international journal.]
Category: Functions and Analysis
[3] viXra:1909.0366 [pdf] replaced on 2021-08-02 22:57:14
Authors: Teo Banica
Comments: 300 Pages.
The unitary group $U_N$ has a free analogue $U_N^+$, and the closed subgroups $G\subset U_N^+$ can be thought of as being the ``compact quantum Lie groups''. We review here the general theory of such quantum groups. We discuss as well a number of more advanced topics, selected for their beauty, and potential importance.
Category: Functions and Analysis
[2] viXra:1909.0200 [pdf] submitted on 2019-09-09 16:24:17
Authors: Saburou Saitoh
Comments: 6 Pages. A very surprising and mysterious property at the point at infinity.
Okumura's Disc Series Can Beyond the Crucial Point of D\"aumler-Puha's Horn Torus Models for the Riemann Sphere
Category: Functions and Analysis
[1] viXra:1909.0189 [pdf] submitted on 2019-09-10 05:20:53
Authors: Kouider Mohammed Ridha
Comments: 3 Pages.
The most basic problem in numerical analysis (methods) is the root finding problem. In this paper we are interesting in represent numerical method which is the Modified Bisection Algorithm(MBA) referred to by Tanakan, (2013, [9]) for finding the multi-roots of a function. Hence in this study we programming the MBA for multi-roots with the R software.
Category: Functions and Analysis
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