Results 131 to 140 of about 25,572 (317)
IDENTIFYING THE NUMBER OF COMPONENTS IN GAUSSIAN MIXTURE MODELS USING NUMERICAL ALGEBRAIC GEOMETRY. [PDF]
J Algebra Appl, 2020 Shirinkam S, Alaeddini A, Gross E.
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Computer Algebra and Algebraic. Geometry—Achievements and Perspectives
Journal of Symbolic Computation, 2000 33 pages, 36 figures, to appear in: Journal of Symbolic Computation ...
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Tropical methods in the moduli theory of algebraic curves
, 2018 Recent results in tropical geometry and in non-Archimedean geometry are surveyed focussing on their impact on the classical theory of algebraic curves, Jacobian varieties, and their moduli ...
Lucia Caporaso, Caporaso, L
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Signed Projective Cubes, a Homomorphism Point of View
Journal of Graph Theory, EarlyView.ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
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Enumerative real algebraic geometry [PDF]
, 2003 Enumerative Geometry is concerned with the number of solutions to a structured system of polynomial equations, when the structure comes from geometry. Enumerative real algebraic geometry studies real solutions to such systems, particularly a priori information on their number. Recent results in this area have, often as not, uncovered new and unexpected
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Brill-Noether loci of rank 2 vector bundles over an algebraic curve [PDF]
, 1999 In this thesis the Brill-Noether loci W of rank 2 stable vector bundles of canonical determinant over an algebraic curve are studied. We analyse three conjectures on the nonexistence, dimension and smoothness of W, collectively known as the Brill ...
Rayfield, A.C. +1 more
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Stable Cuts, NAC‐Colourings and Flexible Realisations of Graphs
Journal of Graph Theory, EarlyView.ABSTRACT A (2‐dimensional) realisation of a graph G $G$ is a pair ( G , p ) $(G,p)$, where p $p$ maps the vertices of G $G$ to R 2 ${{\mathbb{R}}}^{2}$. A realisation is flexible if it can be continuously deformed while keeping the edge lengths fixed, and rigid otherwise.
Katie Clinch +5 more
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Rigorous Electromagnetic Quasinormal‐Mode Method Made Easy for Users
Laser &Photonics Reviews, EarlyView.We present a method that combines numerical techniques with accurate approximations to enable simple and ultrafast computations of the scattered field based on quasinormal modes expansions. The method is made available in the open‐source package MANlite implemented within COMSOL.
Tong Wu, Philippe Lalanne
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Theory of Supercritical Coupling and Generalized Bound States in the Continuum
Laser &Photonics Reviews, EarlyView.We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri +3 more
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On the geometry, topology and approximation of amoebas
, 2013 We investigate multivariate Laurent polynomials f \in \C[\mathbf{z}^{\pm 1}] = \C[z_1^{\pm 1},\ldots,z_n^{\pm 1}] with varieties \mathcal{V}(f) restricted to the algebraic torus (\C^*)^n = (\C \setminus \{0\})^n.
Wolff, Timo de
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