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Published in 2019 at "Foundations of Science"
DOI: 10.1007/s10699-019-09625-4
Abstract: Continuity as appears to us immediately by intuition (in the flow of time and in motion) differs from its current formalization, the arithmetical continuum or equivalently the set of real numbers used in modern mathematical…
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Keywords:
arithmetical continuum;
entropy;
continuum;
black hole ... See more keywords
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Published in 2018 at "Journal of Modern Power Systems and Clean Energy"
DOI: 10.1007/s40565-018-0452-y
Abstract: This paper addresses a set-theoretic method for the detection of data corruption cyber-attacks on the load frequency control loop of a networked power system. The system consists of several interconnected control areas forming a power…
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Keywords:
power systems;
detection data;
power;
set theoretic ... See more keywords
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Published in 2019 at "Early human development"
DOI: 10.1016/j.earlhumdev.2019.03.010
Abstract: This paper provides an introduction to set-theoretic methods with respect to their application to research in the qualitative paradigm, as part of a series of papers on qualitative research being featured in Early Human Development.…
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Keywords:
comparative analysis;
qualitative comparative;
introduction set;
set theoretic ... See more keywords
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Published in 2020 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2020.106314
Abstract: Abstract The structure group G X of a non-degenerate involutive set-theoretic solution X to the Yang-Baxter equation was introduced by Etingof et al. (1999), [31] . We prove that G X coincides with the structure…
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Keywords:
solution yang;
theoretic solution;
structure group;
set theoretic ... See more keywords
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Published in 2020 at "Iet Control Theory and Applications"
DOI: 10.1049/iet-cta.2019.0689
Abstract: In this study, the authors deal with the transient stability control problem in smart grids. They consider an operative scenario where a physical fault or a cyber-attack produces an impulsive perturbation in the state of…
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Keywords:
model predictive;
transient stability;
set theoretic;
predictive control ... See more keywords
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Published in 2019 at "Communications in Algebra"
DOI: 10.1080/00927872.2019.1710163
Abstract: Abstract We develop a method to construct all the indecomposable involutive non-degenerate set-theoretic solutions of the Yang-Baxter equation with a prime-power number of elements and cyclic permutation group. Moreover, we give a complete classification of…
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Keywords:
solutions yang;
baxter equation;
theoretic solutions;
indecomposable involutive ... See more keywords
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Published in 2022 at "Journal of Applied Non-Classical Logics"
DOI: 10.1080/11663081.2023.2190007
Abstract: ABSTRACT In this paper, we provide a set-theoretic proof of the general representation theorem for MV-algebras, which was developed by Dubuc and Poveda in 2010. The theorem states that every MV-algebra is isomorphic to the…
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Keywords:
representation algebras;
set theoretic;
theoretic proof;
proof representation ... See more keywords
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Published in 2019 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2019.2902611
Abstract: This paper proposes a novel robust fault detection (FD) approach and designs a set-theoretic unknown input observer (SUIO) for linear parameter-varying (LPV) systems with both state and output equations scheduled by inexact scheduling variables. First,…
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Keywords:
robust fault;
set theoretic;
lpv systems;
state ... See more keywords
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Published in 2018 at "Journal of Knot Theory and Its Ramifications"
DOI: 10.1142/s0218216518410134
Abstract: In 2004, Carter, Elhamdadi and Saito defined a homology theory for set-theoretic Yang–Baxter operators (we will call it the “algebraic” version in this paper). In 2012, Przytycki defined another homology theory for pre-Yang–Baxter operators which…
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Keywords:
homology;
set theoretic;
baxter homology;
yang baxter ... See more keywords
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Published in 2020 at "Forum Mathematicum"
DOI: 10.1515/forum-2019-0274
Abstract: Abstract Using the theory of cycle sets and braces, non-degenerate indecomposable involutive set-theoretic solutions to the Yang–Baxter equation are classified in terms of their universal coverings and their fundamental group. The universal coverings are characterized…
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Keywords:
solutions yang;
involutive set;
indecomposable involutive;
theoretic solutions ... See more keywords
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Published in 2020 at "Forum Mathematicum"
DOI: 10.1515/forum-2020-0082
Abstract: Abstract This paper aims to introduce a construction technique of set-theoretic solutions of the Yang–Baxter equation, called strong semilattice of solutions. This technique, inspired by the strong semilattice of semigroups, allows one to obtain new…
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Keywords:
solutions yang;
semi braces;
baxter equation;
theoretic solutions ... See more keywords