Results 61 to 70 of about 3,441,413 (166)
A Simple Introduction to Gröbner Basis Methods in String Phenomenology
Advances in High Energy Physics, 2011 I give an elementary introduction to the key algorithm used in recent applications of computational algebraic geometry to the subject of string phenomenology.
James Gray
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GL‐algebras in positive characteristic II: The polynomial ring
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
wiley +1 more source
The symbolic problems associated with Runge-Kutta methods and their solving in Sage
Discrete and Continuous Models and Applied Computational Science, 2019 Runge-Kutta schemes play a very important role in solving ordinary differential equations numerically. At first we want to present the Sage routine for calculation of Butcher matrix, we call it an rk package.
Yu Ying
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Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with Q$\mathbb {Q}$‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X$
Tom Coates +2 more
wiley +1 more source
The Gröbner fan and Gröbner walk for modules [PDF]
, 2005 This paper extends the theory of the Gröbner fan and Gröbner walk for ideals in polynomial rings to the case of submodules of free modules over a polynomial ring.
Auerbach, Ruth L., Ruth L. Auerbach
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Poseidon and Neptune: Gröbner Basis Cryptanalysis Exploiting Subspace Trails
IACR Transactions on Symmetric CryptologyAt the current state of the art, algebraic attacks are the most efficient method for finding preimages and collisions for arithmetization-oriented hash functions, such as the closely related primitives Poseidon/Poseidon2 and Neptune.
Lorenzo Grassi +2 more
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A new approach for the forward kinematics of nearly general Stewart platform with an extra sensor
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2017 In this paper, a new approach for the forward kinematics of nearly general Stewart platform (i.e., both the fixed base and moving platform are restricted to planar platforms) with an extra sensor is presented.
Shili CHENG, Yanli LIU, Hongtao WU
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The buchberger Gröbner basis algorithm
, 2016 This Demonstration shows the main steps of Buchberger's Gröbner basis algorithm for a chosen monomial ordering. (Only two choices of monomial ordering are used here.) The input is a basis for an ideal in the ring of polynomials in two variables ...
Kozlowski, Andrzej
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A new Gröbner basis conversion method based on stabilization techniques [PDF]
, 2008 We propose a new method for converting a Gröbner basis w.r.t. one term order into a Gröbner basis w.r.t. another term order by using the algorithm stabilization techniques proposed by Shirayanagi and Sweedler.
Kiyoshi Shirayanagi +3 more
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Border Basis of an Ideal of Points and its Application in Experimental Design and Regression
پژوهشهای ریاضی, 2020 Introduction Border bases are a generalization of Gröbner bases for zero-dimensional ideals which have attracted the interest of many researchers recently. More precisely, border bases provide a new method to find a structurally stable monomial basis for
Samira Poukhajouei +2 more
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