Results 1 to 10 of about 4,356 (112)
Detection of biological switches using the method of Gröebner bases [PDF]
BMC Bioinformatics, 2019 Background Bistability and ability to switch between two stable states is the hallmark of cellular responses. Cellular signaling pathways often contain bistable switches that regulate the transmission of the extracellular information to the nucleus where
Yaman Arkun
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Modularity and Combination of Associative Commutative Congruence Closure Algorithms enriched with Semantic Properties [PDF]
Logical Methods in Computer Science, 2023 Algorithms for computing congruence closure of ground equations over uninterpreted symbols and interpreted symbols satisfying associativity and commutativity (AC) properties are proposed. The algorithms are based on a framework for computing a congruence
Deepak Kapur
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Explicit algebraic solution of Zolotarev's First Problem for low-degree polynomials
Journal of Numerical Analysis and Approximation Theory, 2019 E.I. Zolotarev's classical so-called First Problem (ZFP), which was posed to him by P.L. Chebyshev, is to determine, for a given \(n\in{\mathbb N}\backslash\{1\}\) and for a given \(s\in{\mathbb R}\backslash\{0\}\), the monic polynomial solution \(Z ...
Heinz Joachim Rack, Robert Vajda
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Real-Time Adaptive Selective Harmonic Elimination for Cascaded Full-Bridge Multilevel Inverter
Energies, 2022 Selective Harmonics Elimination is a high-efficiency modulation method for multilevel inverters that allows handling very high voltage applications. It eliminates the most significant harmonics and fixes the desired fundamental component.
Miguel Vivert +5 more
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Monomial s-sequences arising from graph ideals
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2023 Ideals arising from graphs are investigated via s-sequence theory. In particular, the notion of s-sequence for the generators of the edge ideal I(G) of an acyclic graph G is considered for describing the Groebner basis of the relation ideal J of the ...
Maurizio Imbesi, Monica La Barbiera
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Applied Sciences, 2020 One of the most important elements of a robot’s control system is its Inverse Kinematic Model (IKM), which calculates the position and velocity references required by the robot’s actuators to follow a trajectory.
José Guzmán-Giménez +3 more
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Quantum computation of Groebner basis
, 2021 In this essay, we examine the feasibility of quantum computation of Gr\"obner basis which is a fundamental tool of algebraic geometry. The classical method for computing Gr\"obner basis is based on Buchberger's algorithm, and our question is how to adopt quantum algorithm there.
Ichio Kikuchi, Akihito Kikuchi
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Minimal basis of the syzygies module of leading terms
Труды Института системного программирования РАН, 2019 Systems of polynomial equations are one of the most universal mathematical objects. Almost all the problems of cryptographic analysis can be reduced to finding solutions to systems of polynomial equations.
A. V. Sokurov
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Free integro-differential algebras and Groebner-Shirshov bases [PDF]
, 2014 The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Gao, Xing, Guo, Li, Rosenkranz, Markus
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Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM [PDF]
, 2006 Determining the global minimum of Higgs potentials with several Higgs fields like the next-to-minimal supersymmetric extension of the Standard Model (NMSSM) is a non-trivial task already at the tree level.
A. von Manteuffel +13 more
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