Results 21 to 30 of about 208,740 (273)
Integral closures in real algebraic geometry
Journal of Algebraic Geometry, 2020 We study the algebraic and geometric properties of the integral closure of different rings of functions on a real algebraic variety: the regular functions and the continuous rational functions.
Fichou, Goulwen +2 more
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The Non-Tightness of a Convex Relaxation to Rotation Recovery
Sensors, 2021 We study the Perspective-n-Point (PNP) problem, which is fundamental in 3D vision, for the recovery of camera translation and rotation. A common solution applies polynomial sum-of-squares (SOS) relaxation techniques via semidefinite programming. Our main
Yuval Alfassi +2 more
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Algebraic cycles and approximation theorems in real algebraic geometry [PDF]
Transactions of the American Mathematical Society, 1993 Let \(M\) be a compact orientable smooth manifold of dimension \(\geq 5\). This paper shows which subgroups \(G \subset H_ 2 (M, {\mathbf Z}/2)\) can possibly be the subgroup of two dimensional algebraic cycles in an algebraic model of \(M\). It shows that the possible \(G\)'s are exactly those containing the Poincaré dual of the second Stieffel ...
Bochnak, J., Kucharz, W.
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On singularities of real algebraic sets and applications to kinematics
Open Mathematics, 2020 We address the question of identifying non-smooth points in Vℝ(I){{\bf{V}}}_{{\mathbb{R}}}(I) the real part of an affine algebraic variety. Two simple algebraic criteria will be formulated and proven.
Diesse Marc
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Real Representation of the Polarimetric Scattering Matrix for Monostatic Radar
Remote Sensing, 2023 Synthetic aperture radar with polarimetric diversity is a powerful tool in remote sensing. Each pixel is described by the scattering matrix corresponding to the emission/reception polarization states (usually horizontal and vertical).
Madalina Ciuca +4 more
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Noncommutative real algebraic geometry of Kazhdan's property (T) [PDF]
, 2015 It is well-known that a finitely generated group $\Gamma$ has Kazhdan's property (T) if and only if the Laplacian element $\Delta$ in ${\mathbb R}[\Gamma]$ has a spectral gap.
Ozawa, Narutaka
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The Hodge conjecture: The complications of understanding the shape of geometric spaces
Mètode Science Studies Journal: Annual Review, 2018 The Hodge conjecture is one of the seven millennium problems, and is framed within differential geometry and algebraic geometry. It was proposed by William Hodge in 1950 and is currently a stimulus for the development of several theories based on ...
Vicente Muñoz Velázquez
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Pell’s equation, sum-of-squares and equilibrium measures on a compact set
Comptes Rendus. Mathématique, 2023 We first interpret Pell’s equation satisfied by Chebyshev polynomials for each degree $t$, as a certain Positivstellensatz, which then yields for each integer $t$, what we call a generalized Pell’s equation, satisfied by reciprocals of Christoffel ...
Lasserre, Jean B.
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Detection of Daily Precipitation Structure in Shiraz Synoptic Station [PDF]
نشریه جغرافیا و برنامهریزی, 2020 Introduction Recently, issues raised by changes in precipitation, especially problems brought about by floods and droughts, along with the environmental effects of diminished rainfall, have underscored the importance of precipitation studies at different
mahdi narangifard +3 more
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A comparison of three heuristics to choose the variable ordering for CAD [PDF]
, 2014 Cylindrical algebraic decomposition (CAD) is a key tool for problems in real algebraic geometry and beyond. When using CAD there is often a choice over the variable ordering to use, with some problems infeasible in one ordering but simple in another ...
Davenport, James H. +4 more
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