Concept
Équation polynomiale
Publications associées (73)
K3 surfaces, cyclotomic polynomials and orthogonal groups
Let X be a complex projective K3 surface and let T-X be its transcendental lattice; the characteristic polynomials of isometries of T-X induced by automorphisms of X are powers of cyclotomic polynomials. Which powers of cyclotomic polynomials occur? The ai ...
Springer Int Publ Ag2024FENNECS: a novel particle-in-cell code for simulating the formation of magnetized non-neutral plasmas trapped by electrodes of complex geometries
Stefano Alberti, Jean-Philippe Hogge, Joaquim Loizu Cisquella, Jérémy Genoud, Francesco Romano
This paper presents the new 2D electrostatic particle-in-cell code FENNECS de- veloped to study the formation of magnetized non-neutral plasmas in geometries with azimuthal symmetry. This code has been developed in the domain of gy- rotron electron gun des ...
2024Algebraic and Boolean Methods for SFQ Superconducting Circuits
Giovanni De Micheli, Alessandro Tempia Calvino
Rapid single-flux quantum (RSFQ) is one of the most advanced and promising superconducting logic families, offering exceptional energy efficiency and speed. RSFQ technology requires delay registers (DFFs) and splitter cells to satisfy the path-balancing an ...
2024Small-argument analytical expressions for the calculation of the ground-return impedance and admittance of underground cables
This paper proposes small-argument approximations for two closed-form equations that were recently derived for the calculation of the ground-return impedance and admittance of underground cables. The proposed expressions are shown to be accurate up to 1 MH ...
ELSEVIER SCIENCE SA2023Tight Vector Bin Packing with Few Small Items via Fast Exact Matching in Multigraphs
Adam Teodor Polak, Alexandra Anna Lassota
We solve the Bin Packing problem in O^*(2^k) time, where k is the number of items less or equal to one third of the bin capacity. This parameter measures the distance from the polynomially solvable case of only large (i.e., greater than one third) items. O ...
Schloss Dagstuhl – Leibniz-Zentrum fur Informatik2022Admissibility of Uncertain Injections in Quadratic Algebraic Systems
Jean-Yves Le Boudec, Cong Wang, Eleni Stai
We study the admissibility problem in multivariate algebraic systems, such as ac electrical networks, where the power injection is quadratic in the state. The goal of such systems is to ensure that the state stays in some security set (e.g., magnitudes of ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2021A Local Law for Singular Values from Diophantine Equations
We introduce the random matrices and a fixed integer. We pr ...
2020