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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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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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Quantum computation of Groebner basis
, 2021 In this essay, we examine the feasibility of quantum computation of Groebner basis which is a fundamental tool of algebraic geometry. The classical method for computing Groebner basis is based on Buchberger's algorithm, and our question is how to adopt ...
I. Kikuchi, Akihito Kikuchi
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Resolution of Sudokus Using Groebner Basis
Computer Tools in Education, 2018 We study the resolution of sudokus and generalized sudokus using Groebner basis. Let x1, . . . , x81 the 81 squares which form the sudoku, arranged from left to right and from top to bottom. Its solution will be (a1, . . .
M. R. González-Dorrego +1 more
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Groebner Basis and its Applications
International Journal of Engineering and Advanced Technology, 2012 This paper is a survey on Groebner basis and its applications on some areas of Science and Technology. Here we have presented some of the applications of concepts and techniques from Groebner basis to broader area of science and technology such as ...
Solomon Belete
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Computing dimension of affine varieties using Groebner basis approach
IOSR Journal of Mathematics, 2013 Given a set of polynomials F ⊆ k X , what is the dimension of the affine variety V F ? Giving an affirmative answer to this question was never so easier in algebraic geometry until the development of Groebner basis. Groebner bases are nice because we can compute these; and this is Buchberger algorithm which makes Groebner bases so fruitful.
S. U. Mohammad
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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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Mechanics based design of structures and machines, 2021 The methods most commonly used to synthesize the Inverse Kinematic Model (IKM) of open-chain robotic systems strongly depend on the robot’s geometry, which make them difficult to systematize.
Jose Guzman-Gimenez +3 more
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SOLVING THE INVERSE KINEMATICAL PROBLEM OF A ROBOT ARM BY USING GROEBNER BASIS
Jurnal Ilmiah Matematika dan Pendidikan Matematika, 2021 The inverse kinematical problem of a robot arm is a problem to find some appropriate joint configurations for a pair of position and direction of a robot hand which is represented by a polynomial equations system.
Alisya Masturoh +2 more
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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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