Results 61 to 70 of about 4,395 (144)
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.
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Tryptophan catabolism to serotonin and kynurenine in women undergoing in-vitro fertilization. [PDF]
Physiol Res, 2020 Bódis J +7 more
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Descent of varieties using a Groebner basis argument
, 2016 We prove a descent result for affine/projective varieties defined over an algebraically closed field. The idea is to work with the reduced Groebner basis of the ideal where the variety vanishes and study it's behaviour under group action coming from subgroups of the automorphism group of the base field.
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Alcoholic-Hepatitis, Links to Brain and Microbiome: Mechanisms, Clinical and Experimental Research. [PDF]
Biomedicines, 2020 Neuman MG +22 more
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Groebner basis and the Anick resolution for U_K(sl_3^+)
, 2012 We compute three first steps of a minimal projective resolution for the trivial module over U_K(sl_3^+).
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Sensors and Sensor Fusion Methodologies for Indoor Odometry: A Review. [PDF]
Polymers (Basel), 2022 Yang M +8 more
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Improving incremental signature-based Gröbner basis algorithms
ACM Communications in Computer Algebra, 2013 In this paper we describe a combination of ideas to improve incremental signature-based Gröbner basis algorithms which have a big impact on their performance. Besides explaining how to combine already known optimizations to achieve more efficient algorithms, we show how to improve them even further.
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Identifiable Paths and Cycles in Linear Compartmental Models. [PDF]
Bull Math Biol, 2022 Bortner C, Meshkat N.
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New Multi-Step Iterative Methods for Solving Systems of Nonlinear Equations and Their Application on GNSS Pseudorange Equations. [PDF]
Sensors (Basel), 2020 Madhu K +3 more
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