Results 11 to 20 of about 523 (177)
Groebner basis under composition II [PDF]
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\
Hong, H.
core +5 more sources
Groebner basis structure of ideal interpolation. [PDF]
CoRR, 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
core +5 more sources
The Groebner basis of a polynomial system related to the Jacobian conjecture [PDF]
, 2014 En este artículo calculamos la base de Groebner de un sistema polinomial de ecuaciones relacionada con la conjetura del jacobiano utilizando una fórmula recursiva para los numeros de Catalan.
Valqui Haase, Christian Holger +1 more
core +5 more sources
Intelligent Approach for Control Techniques Based on Complex Converter Structures
International Journal of Energy Research, Volume 2023, Issue 1, 2023., 2023 Hybrid frequency control strategies are used to eliminate the problem of current inversion in multilevel cascaded asymmetrical H‐bridge inverters. Unfortunately, this technique results in unbalanced power at the inverter output. The improved hybrid PWM modulation strategy helps to regulate power balances within a reasonable range at high and low ...
Kitmo +5 more
wiley +1 more source
Monomial s-sequences arising from graph ideals
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2023 Ideals arising from graphs are investigated via s-sequence theory. In particular, the notion of s-sequence for the generators of the edge ideal I(G) of an acyclic graph G is considered for describing the Groebner basis of the relation ideal J of the ...
Maurizio Imbesi, Monica La Barbiera
doaj +1 more source
A Forward Solution Algorithm of 6RUS Parallel Mechanism Based on Dual Quaternion Method
International Journal of Aerospace Engineering, Volume 2023, Issue 1, 2023., 2023 The 6RUS parallel manipulator is a highly versatile and widely used robotic mechanism with six degrees of freedom. Its intricate kinematic structure and its capability to perform complex motion tasks have garnered significant research interest in recent years.
Guangyu-yu Dong +3 more
wiley +1 more source
Rationalizing Denominators Using Gröbner Bases
Complexity, Volume 2022, Issue 1, 2022., 2022 The problem of rationalizing denominators for two types of fractions is discussed in the paper. By using the theory and algorithms of Gröbner bases, we first introduce a method to rationalize the denominators of fractions with square root and cube root, and then, for the denominators with higher radical of the general form, the problem of rationalizing
Dongmei Li +4 more
wiley +1 more source
Allocation of Optimal PMUs for Power System Observability Using PROMETHEE Approach
International Transactions on Electrical Energy Systems, Volume 2022, Issue 1, 2022., 2022 Phasor measurement units (PMUs) are becoming a vital measurement device in wide‐area monitoring, operation, and control. The allocation of PMU at each bus will make that bus directly observable. However, considering the high installation costs, it is not feasible to place PMU at each bus.
Shubhrajyoti Kundu +4 more
wiley +1 more source
International Transactions on Electrical Energy Systems, Volume 2022, Issue 1, 2022., 2022 Multilevel inverters (MLI) are becoming more common in different power applications, such as active filters, elective vehicle drives, and dc power sources. The Multi‐Group Marine Predator Algorithm (MGMPA) is introduced in this study for resolving transcendental nonlinear equations utilizing an MLI in a selective harmonic elimination (SHE) approach ...
G. Krithiga, V. Mohan, R Sitharthan
wiley +1 more source
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 A selective harmonic elimination method of modified packed u‐cells (MPUC) inverter fed induction motor built on modified multiverse optimizer (MMVO) algorithm is put forward. The proposed method adopts the MMVO algorithm to search the optimal solution in the SHEPWM equations through the two processes of exploring the optimal solution distribution and ...
Guohua Li +3 more
wiley +1 more source