| viXra.org > Functions and Analysis > 2101 |
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| viXra.org > Functions and Analysis > 2101 |
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[8] viXra:2101.0114 [pdf] submitted on 2021-01-18 05:56:25
Authors: Antoine Balan
Comments: 2 pages, written in french
The integration by parts can charaterize the integration. We give a formula for a manifold.
Category: Functions and Analysis
[7] viXra:2101.0070 [pdf] submitted on 2021-01-11 11:59:55
Authors: Juan Elias Millas Vera
Comments: 5 Pages.
In this paper we will see how it is possible to establish a precise and complete notation for operators that describe a series of functions.
Category: Functions and Analysis
[6] viXra:2101.0057 [pdf] submitted on 2021-01-09 11:33:24
Authors: Saburou Saitoh
Comments: 16 Pages. [Corrections made by viXra Admin to conform with the requirements on the Submission Form]
At least until about 20 years ago, we had very difficult inverse problems that are important in many practical problems (fundamentals). These problems were indeed difficult in both mathematics and numerical realizations of the solutions and so, they are called ill-posed problems and very famous difficult problems. We were able to solve these problems in both senses of mathematics and numerical problems by using the theory of reproducing kernels applying the Tikhonov regularization. However, for the real inversion formula of the Laplace transform, we needed the great power of computers by H. Fujiwara.
Category: Functions and Analysis
[5] viXra:2101.0049 [pdf] submitted on 2021-01-08 11:13:39
Authors: A. Boccuto, X. Dimitriou
Comments: 11 Pages.
We give some limit theorems for sequences of lattice group-valuedk-triangular set functions,in the setting of filter convergence, and some results about their equivalence. We use the toolof filter exhaustiveness to get uniform (s)-boundedness, uniform continuity and uniform regular-ity of a suitable subsequence of the given sequence, whose indexes belong to the involved filter. Furthermore we pose some open problems.
Category: Functions and Analysis
[4] viXra:2101.0041 [pdf] replaced on 2024-05-15 19:53:13
Authors: Seamus McCelt
Comments: 9 Pages.
The universe does NOT have an instruction manual to use on itself. The way things work can only be very simple and automatic. Spiral arms and or galactic bars are no exception, they are formed by 4 simple mechanisms: Group mass, Orbit lag, Star lag, and Triple focus.
Category: Functions and Analysis
[3] viXra:2101.0039 [pdf] submitted on 2021-01-06 11:34:32
Authors: Giuseppina Barbieri, Antonio Boccuto, Gaetano Vitale
Comments: 20 Pages. [Corrections made by viXra Admin to conform with scholarly norm]
We present the algebraic structures behind the approaches used to work with pairwise comparison matrices and, in general, the representation
of preferences. We obtain a general definition of consistency and a universal decomposition in the space of PCMs, which allow us to define a consistency index. Also Arrow's theorem, which is presented in a general form, is relevant.
All the presented results can be seen in the main formulations of PCMs, i.e. multiplicative, additive and fuzzy approach, by the fact that each of them is a particular interpretation of the more general algebraic structure needed to deal with these theories.
Category: Functions and Analysis
[2] viXra:2101.0023 [pdf] submitted on 2021-01-05 09:59:33
Authors: Antonio Boccuto
Comments: 10 Pages.
Using the Maeda-Ogasawara-Vulikh representation theorem and sliding hump-type techniques, we prove some Dieudonne-type theorems for k-triangular set functions, taking values in lattice groups.
Category: Functions and Analysis
[1] viXra:2101.0013 [pdf] submitted on 2021-01-03 18:43:33
Authors: Yuly Shipilevsky
Comments: 6 Pages.
We introduce and suggest to study famous
Zeta Function, extending it to a quaternionic variable and other hypercomplex variables
Category: Functions and Analysis
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