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We discuss representations of monogenic functions over very regular groups.

Analysis of PDEs · Mathematics 2025-02-13 Tove Dahn

Fuzzy anti-norm and corresponding $\alpha$-norms are defined. A few properties of finite dimensional fuzzy anti-normed linear space are studied. Fuzzy $\alpha$-anti-convergence and fuzzy $\alpha$-anti-complete linear space are defined and a…

General Mathematics · Mathematics 2012-02-21 Bivas Dinda , T. K. Samanta , Iqbal H. Jebril

In this paper we introduce prime fuzzy ideals over a noncommutative ring. This notion of primeness is equivalent to level cuts being crisp prime ideals. It also generalizes the one provided by Kumbhojkar and Bapat in [Not-so-fuzzy fuzzy…

Rings and Algebras · Mathematics 2016-10-26 Gabriel Navarro , Oscar Cortadellas , F. J. Lobillo

We give some results and conjectures about recurrence relations for certain sequences of binomial sums.

Combinatorics · Mathematics 2007-05-23 Johann Cigler

We obtain a series of lower bounds for the product set of combinatorial cubes, as well as some non--trivial upper estimates for the multiplicative energy of such sets.

Combinatorics · Mathematics 2020-08-04 Ilya D. Shkredov

The connections between quasi-Assouad dimension and tangents are studied. We apply these results to the calculation of the quasi-Assouad dimension for a class of planar self-affine sets. We also show that sets with decreasing gaps have…

Classical Analysis and ODEs · Mathematics 2019-06-27 Ignacio García , Kathryn Hare

We consider a wide family of fuzzy integrals on arbitrary compactum which generalize well know Sugeno integral. Such generalization is obtained using some non-discrete analogs of pseudo-grouping functions.

General Topology · Mathematics 2023-12-27 Taras Radul

This note studies the existence of quotients by finite set theoretic equivalence relations. May 18: Substantial revisions with a new appendix by C. Raicu

Algebraic Geometry · Mathematics 2009-05-18 János Kollár

In this paper some links between the density of a set of integers and the density of its sumset, product set and set of subset sums are presented.

Number Theory · Mathematics 2019-02-08 Norbert Hegyvári , François Hennecart , Péter Pál Pach

In our recent paper we have established close relationships between state reduction of a fuzzy recognizer and resolution of a particular system of fuzzy relation equations. In that paper we have also studied reductions by means of those…

Formal Languages and Automata Theory · Computer Science 2011-03-01 Aleksandar Stamenković , Miroslav Ćirić , Jelena Ignjatović

Intuitionistic fuzzy Banach algebra is introduced and a few properties of it is studied. The properties of invertible elements and relation among invertible elements, open set, closed set are emphasized. Topological divisors of zero is…

General Mathematics · Mathematics 2010-09-20 Bivas Dinda , T. K. Samanta , U. K. Bera

We introduce a family of linear relations between cell-zeta values that have a form similar to product map relations and jointly with them imply stuffle relations between multiple zeta values.

Algebraic Geometry · Mathematics 2022-09-29 Nikita Markarian

In this paper, we propose the theory of fuzzy limit of fuzzy function depending on the Altai principle and using the representation theorem (resolution principle) to run the fuzzy arithmetic

General Mathematics · Mathematics 2019-02-07 Abdulhameed Qahtan Abbood Altai

We prove some basic properties of quasinearly subharmonic functions and quasinearly subharmonic functions in the narrow sense.

Complex Variables · Mathematics 2016-08-17 Mansour Kalantar

In this paper, we mainly discuss the constructions and the characteristics of betweenness relations and fuzzy betweenness relations in KM-fuzzy metric spaces. And the family of betweenness relations induced by a KM-fuzzy metric form a nest…

General Mathematics · Mathematics 2026-03-24 Yu Zhong

Statistical limits are defined relaxing conditions on conventional convergence. The main idea of the statistical convergence of a sequence l is that the majority of elements from l converge and we do not care what is going on with other…

Classical Analysis and ODEs · Mathematics 2008-03-31 Mark Burgin , Oktay Duman

In this paper we propose a generalization of the concept of symmetric fuzzy measure based in a decomposition of the universal set in what we have called subsets of indifference. Some properties of these measures are studied, as well as…

Discrete Mathematics · Computer Science 2008-12-18 Pedro Miranda , Michel Grabisch , Pedro Gil

A conjecture regarding the structure of expander graphs is discussed.

Combinatorics · Mathematics 2020-10-20 Itai Benjamini , Mikolaj Fraczyk

In this paper, we deal with soft MTL-algebras based on fuzzy sets. By means of $\in$-soft sets and q-soft sets, some characterizations of (Boolean, G- and MV-) filteristic soft MTL-algebras are investigated. Finally, we prove that a soft…

Logic · Mathematics 2013-05-28 J. Zhan , W. A. Dudek

In a recent paper as an alternative to models based on the notion of ideal mathematical point, characterized by a property of separatedness, we considered a viewpoint based on the notion of continuous change, making use of elements of a…

Neurons and Cognition · Quantitative Biology 2024-12-16 Bartosz Jura