On the Bivariate Vector-Valued Rational Interpolation and Recovery Problems
AxiomsThis paper investigates bivariate vector-valued rational interpolation and recovery problems with common divisors in their denominators. By leveraging these shared divisors and employing a component-wise rational interpolation approach, we reduce the ...
Lixia Xiao, Peng Xia, Shugong Zhang
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Reduction of Feynman integrals in the parametric representation II: reduction of tensor integrals. [PDF]
Eur Phys J C Part Fields, 2021 Chen W.
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Comprehensive structural Gröbner basis detection (Computer Algebra : Foundations and Applications)
, 2022 In this talk, we introduce a method to find a term order such that the given F, a set of polynomials with parameters is a Gröbner basis for the ideal〈F〉.This problem without parameters is called the Gröbner basis detection (GBD) and there is also its ...
大島谷, 遼, 長坂, 耕作
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On the Structure and Homological Regularity of the q-Heisenberg Algebra
AxiomsThe q-Heisenberg algebra hn(q) is a significant class of solvable polynomial algebras, and it unifies the canonical commutation relations of Heisenberg algebras and the deformation theory of quantum groups. In this paper, we employ Gröbner-Shirshov basis
Yabiao Wang, Gulshadam Yunus
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Detecting minimum energy states and multi-stability in nonlocal advection-diffusion models for interacting species. [PDF]
J Math Biol, 2022 Giunta V, Hillen T, Lewis MA, Potts JR.
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On Solving The Systems of Algebraic Equations Using Gröbner Bases
Труды Института системного программирования РАН, 2018 Described and proved the algorithm for finding some solution of algebraic equations over arbitrary field k for zero dimension ideals if Gröbner basis of this ideal over lexicographic order is given.
Alexander Shokurov
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Forum of Mathematics, SigmaThe study of Koszul binomial edge ideals was initiated by V. Ene, J. Herzog, and T. Hibi in 2014, who found necessary conditions for Koszulness. The binomial edge ideal $J_G$ associated to a finite simple graph G is always generated by quadrics ...
Adam LaClair +3 more
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Generation of all randomizations using circuits. [PDF]
Ann Inst Stat Math, 2023 Pesce E +3 more
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Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations
Symmetry, Integrability and Geometry: Methods and Applications, 2006 In this paper we present an algorithmic approach to the generation of fully conservative difference schemes for linear partial differential equations. The approach is based on enlargement of the equations in their integral conservation law form by extra ...
Vladimir P. Gerdt +2 more
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Creation of distinctive Bax-lipid complexes at mitochondrial membrane surfaces drives pore formation to initiate apoptosis. [PDF]
Sci Adv, 2023 Clifton LA +5 more
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