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Adapting Logic to Physics: The Quantum-Like Eigenlogic Program [PDF]
Entropy, 2020 Considering links between logic and physics is important because of the fast development of quantum information technologies in our everyday life. This paper discusses a new method in logic inspired from quantum theory using operators, named Eigenlogic ...
Zeno Toffano, François Dubois
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Cosets and Cayley-Sudoku Tables
Mathematics Magazine, 2010 SummaryThe popular Sudoku puzzles are 9 by 9 tables divided into nine 3 by 3 sub-tables or blocks. Digits 1 through 9 appear in some of the entries. Other entries are blank. The goal is to fill the blank entries with digits 1 through 9 in such a way that each digit appears exactly once in each row and in each column and in each block. Cayley tables are
Jennifer Carmichael +2 more
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Algebras of Binary Isolating Formulas for Strong Product Theories
Известия Иркутского государственного университета: Серия "Математика", 2023 Algebras of distributions of binary isolating and semi-isolating formulas are objects that are derived for a given theory, and they specify the relations between binary formulas of the theory.
D.Yu. Emelyanov
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Algebras of Binary Isolating Formulas for Tensor Product Theories
Известия Иркутского государственного университета: Серия "Математика", 2022 Algebras of distributions of binary isolating and semi-isolating formulae are derived objects for a given theory and reflect binary formula relations between 1-type realizations.
D.Yu. Emel’yanov
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Completing Partial Transversals of Cayley Tables of Abelian Groups [PDF]
The Electronic Journal of Combinatorics, 2021 In 2003 Grüttmüller proved that if $n\geqslant 3$ is odd, then a partial transversal of the Cayley table of $\mathbb{Z}_n$ with length $2$ is completable to a transversal. Additionally, he conjectured that a partial transversal of the Cayley table of $\mathbb{Z}_n$ with length $k$ is completable to a transversal if and only if $n$ is odd and either $n \
Jaromy Kuhl +2 more
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Algebras of Binary Isolating Formulas for Theories of Root Products of Graphs
Известия Иркутского государственного университета: Серия "Математика", 2021 Algebras of distributions of binary isolating and semi-isolating formulas are derived objects for given theory and reflect binary formula relations between realizations of 1-types.
D.Yu. Emel’yanov
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The Chromatic Number of Finite Group Cayley Tables [PDF]
The Electronic Journal of Combinatorics, 2019 The chromatic number of a latin square $L$, denoted $\chi(L)$, is the minimum number of partial transversals needed to cover all of its cells. It has been conjectured that every latin square satisfies $\chi(L) \leq |L|+2$. If true, this would resolve a longstanding conjecture—commonly attributed to Brualdi—that every latin square has a partial ...
Luis A. Goddyn +2 more
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Journal of the London Mathematical Society, 2000 If \(G\) is a finite group and \(\chi\) is a character of \(G\), then the \(2\)-character \(\chi^{(2)}\) is defined by \(\chi^{(2)}(g,h)=\chi(g)\chi(h)-\chi(gh)\). The aim of the paper is to find properties of \(G\) which can be determined by the \(1\)- and \(2\)-characters of the irreducible representations. The authors introduce the weak Cayley table
Johnson, KW, Mattarei, S, Sehgal, SK
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Algebras of Distributions of Binary Formulas for Theories of Archimedean Solids
Известия Иркутского государственного университета: Серия "Математика", 2019 Algebras of distributions of binary isolating and semi-isolating formulas are derived objects for given theory and reflect binary formula relations between realizations of 1-types.
D.Yu. Emelyanov
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The falling chain of Hopkins, Tait, Steele and Cayley [PDF]
, 2006 A uniform, flexible and frictionless chain falling link by link from a heap by the edge of a table falls with an acceleration $g/3$ if the motion is nonconservative, but $g/2$ if the motion is conservative, $g$ being the acceleration due to gravity ...
Carnot L +28 more
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