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Dynamics of Four Triple Systems
The Astronomical Journal, 2023 Orbital motions in four hierarchical stellar systems discovered by speckle interferometry are studied. Their inner orbits are relatively well constrained, while the long outer orbits are less certain.
Andrei Tokovinin
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Pöppe triple systems and integrable equations
Partial Differential Equations in Applied Mathematics, 2023 We construct the combinatorial Pöppe triple system, or ternary algebra, that underlies the non-commutative nonlinear Schrödinger (NLS) and modified Korteweg–de Vries (mKdV) hierarchy.
Anastasia Doikou +3 more
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Enumerating Steiner triple systems
Journal of Combinatorial Designs, 2023 AbstractSteiner triple systems (STSs) have been classified up to order 19. Earlier estimations of the number of isomorphism classes of STSs of order 21, the smallest open case, are discouraging as for classification, so it is natural to focus on the easier problem of merely counting the isomorphism classes.
Östergård +2 more
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Triality Groups Associated with Triple Systems and their Homotope Algebras
Annales Mathematicae Silesianae, 2021 We introduce the notion of an (α, β, γ) triple system, which generalizes the familiar generalized Jordan triple system related to a construction of simple Lie algebras. We then discuss its realization by considering some bilinear algebras and vice versa.
Kamiya Noriaki
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Analysis of the Effect of Different Combinations of Observation Satellites on the Resolving Accuracy of GNSS Observation Data [PDF]
E3S Web of Conferences, 2020 In this paper, 24 C-level control points under different terrain conditions were selected to be the testing points. The binary-satellite system (GPS+GLONASS) and the triple-satellite system with BeiDou Navigation Satellite System (BDS) (BDS+GPS+GLONASS ...
Wang Junze +3 more
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A hierarchy of maximal intersecting triple systems [PDF]
Opuscula Mathematica, 2017 We reach beyond the celebrated theorems of Erdȍs-Ko-Rado and Hilton-Milner, and a recent theorem of Han-Kohayakawa, and determine all maximal intersecting triples systems.
Joanna Polcyn, Andrzej Ruciński
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Central Extensions and Nijenhuis Operators of Hom-δ-Jordan Lie Triple Systems
Advances in Mathematical Physics, 2022 In this paper, the equivalence of central extensions and Hα,αV3T,V is proven in the study in Hom-δ-Jordan Lie triple systems. The concepts of Nijenhuis operators of Hom-δ-Jordan Lie triple systems are given. Moreover, a trivial deformation is got.
Qiang Li, Lili Ma
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Bicoloring Steiner Triple Systems [PDF]
The Electronic Journal of Combinatorics, 1999 A Steiner triple system has a bicoloring with $m$ color classes if the points are partitioned into $m$ subsets and the three points in every block are contained in exactly two of the color classes. In this paper we give necessary conditions for the existence of a bicoloring with 3 color classes and give a multiplication theorem for Steiner triple ...
Colbourn, Charles J. +2 more
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Communications in Contemporary Mathematics, 2014 We define Leibniz triple systems in a functorial manner using the algorithm of Kolesnikov and Pozhidaev which converts identities for algebras into identities for dialgebras; this algorithm is a concrete realization of the white Manin product introduced by Vallette by the permutad Perm introduced by Chapoton.
Bremner, Murray R. +1 more
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Almost all Steiner triple systems are almost resolvable
Forum of Mathematics, Sigma, 2020 We show that for any n divisible by 3, almost all order-n Steiner triple systems admit a decomposition of almost all their triples into disjoint perfect matchings (that is, almost all Steiner triple systems are almost resolvable).
Asaf Ferber, Matthew Kwan
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