Results 31 to 40 of about 4,395 (144)
An extension of Buchberger's criteria for Groebner basis decision
, 2009 Two fundamental questions in the theory of Groebner bases are decision ("Is a basis G of a polynomial ideal a Groebner basis?") and transformation ("If it is not, how do we transform it into a Groebner basis?") This paper considers the first question. It
Adams +10 more
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Tropical Differential Groebner Basis
, 2019 In this paper, the tropical differential Gr bner basis is studied, which is a natural generalization of the tropical Gr bner basis to the recently introduced tropical differential algebra. Like the differential Gr bner basis, the tropical differential Gr bner basis generally contains an infinite number of elements.
Hu, Youren, Gao, Xiao-Shan
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A geometric view of cryptographic equation solving
Journal of Mathematical Cryptology, 2008 This paper considers the geometric properties of the Relinearisation algorithm and of the XL algorithm used in cryptology for equation solving. We give a formal description of each algorithm in terms of projective geometry, making particular use of the ...
Murphy S., Paterson M. B.
doaj +1 more source
Groebner basis structure of ideal interpolation
, 2020 We study the relationship between certain Groebner bases for zero dimensional ideals, and the interpolation condition functionals of ideal interpolation. Ideal interpolation is defined by a linear idempotent projector whose kernel is a polynomial ideal. In this paper, we propose the notion of "reverse" complete reduced basis.
Gong, Yihe, Jiang, Xue
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On Compatibility of Discrete Relations
, 2005 An approach to compatibility analysis of systems of discrete relations is proposed. Unlike the Groebner basis technique, the proposed scheme is not based on the polynomial ring structure.
Kornyak, Vladimir V.
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Groebner basis under composition II
Proceedings of the 1996 international symposium on Symbolic and algebraic computation - ISSAC '96, 1996 The paper under review is the first of two papers in which the author investigates the following question. Let \(F\) be a finite set of polynomials in the variables \(x_1,\dots,x_n\) and let \(G\) be a Gröbner basis of the ideal generated by \(F\) under some term ordering \(>\). Let \(\Theta \) be a list of \(n\) polynomials \(\theta_1, \dots, \theta_n\
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IET Power Electronics, Volume 19, Issue 1, January/December 2026.This article presents a Fifteen‐level inverter topology that has a lesser number of switches (12) and can accommodate isolated DC sources. The total harmonic elimination (THD) of the proposed topology using genetic algorithm is within the IEEE 519 standards. Further, the fifteen‐level inverter is implemented in Hardware and firing pulses were generated
Yogesh Joshi +4 more
wiley +1 more source
ALGORITMA GROEBNER WALK LAMBAT? [PDF]
, 2009 Algoritma Groebner Walk dikembangkan karena Algoritma Buch‐berger memerlukan waktu dan memori yang sangat banyak untuk menghitung basis Groebner dari suatu ideal terhadap order leksikografis. Untuk menghitung basis Groebner terhadap order leksi‐kografis,
I, Made Sulandra
core
Selective harmonic elimination in PUC‐5 multilevel inverter using hybrid IGWO‐DE algorithm
Engineering Reports, Volume 6, Issue 10, October 2024.The inverter switching can be done at a low frequency using the Selective Harmonic Elimination (SHE) technique, and the unwanted harmonics can be significantly reduced; however, the issue with SHE is solving the transcendental equations and determining the optimum switching angle.
Zaid Sifat +6 more
wiley +1 more source
Forensic intelligence: Expanding the potential of forensic document examination
WIREs Forensic Science, Volume 6, Issue 5, September/October 2024.During the manufacturing process, traces are left on fraudulent identity and travel documents which are representative of the modus operandi used by the forger to create the document. These traces can then be extracted and profiled based on their visual, chemical, and digital features to help provide a greater understanding of the criminal environment ...
Ciara Devlin +2 more
wiley +1 more source