Results 11 to 20 of about 341,603 (246)
Polyhedral Methods in Numerical Algebraic Geometry [PDF]
, 2008 In numerical algebraic geometry witness sets are numerical representations of positive dimensional solution sets of polynomial systems. Considering the asymptotics of witness sets we propose certificates for algebraic curves.
J. Verschelde
semanticscholar +1 more source
Topics in Algebraic Deformation Theory
, 2010 We give a selective survey of topics in algebraic deformation theory ranging from its inception to current times. Throughout, the numerous contributions of Murray Gerstenhaber are emphasized, especially the common themes of cohomology, infinitesimal ...
Giaquinto, Anthony
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Enumerative Real Algebraic Geometry [PDF]
Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science, 2001 Two well-defined classes of structured polynomial systems have been studied from this point of view—sparse systems, where the structure is encoded by the monomials in the polynomials fi—and geometric systems, where the structure comes from geometry. This
F. Sottile
semanticscholar +1 more source
Essential Killing fields of parabolic geometries
, 2013 We study vector fields generating a local flow by automorphisms of a parabolic geometry with higher order fixed points. We develop general tools extending the techniques of [1], [2], and [3].
Melnick, Karin, Čap, Andreas
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Computer Algebra and Algebraic. Geometry-Achievements and Perspectives [PDF]
Journal of symbolic computation, 2000 In this survey I should like to introduce some concepts of algebraic geometry and try to demonstrate the fruitful interaction between algebraic geometry and computer algebra and, more generally, between mathematics and computer science.
G. Greuel
semanticscholar +1 more source
A Unified Algebraic Approach to Classical Yang-Baxter Equation
, 2007 In this paper, the different operator forms of classical Yang-Baxter equation are given in the tensor expression through a unified algebraic method.
Bakalov B +19 more
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Multiscale Cell–Cell Interactive Spatial Transcriptomics Analysis
Advanced Science, EarlyView.In this study, we present the MultiScale Cell‐Cell Interactive Spatial Transcriptomics Analysis method, which unites the strengths of spatially resolved deep learning techniques with a topological representation of multi‐scale cell‐cell similarity relations.
Sean Cottrell, Guo‐Wei Wei
wiley +1 more source
Galois groups of Schubert problems via homotopy computation
, 2007 Numerical homotopy continuation of solutions to polynomial equations is the foundation for numerical algebraic geometry, whose development has been driven by applications of mathematics.
Leykin, Anton, Sottile, Frank
core +8 more sources
Mechanistic Modeling of Continuous Lyophilization for Biopharmaceutical Manufacturing
Advanced Science, EarlyView.This article presents the first mechanistic model for continuous lyophilization (aka freeze drying). The model accurately describes the key phenomena and critical process parameters in continuous lyophilization, which can be used for process design, optimization, and control. Results from this work can drive the transition of (bio)pharmaceutical freeze
Prakitr Srisuma +2 more
wiley +1 more source
A view on extending morphisms from ample divisors
, 2009 The philosophy that ``a projective manifold is more special than any of its smooth hyperplane sections" was one of the classical principles of projective geometry.
Beltrametti, Mauro C., Ionescu, Paltin
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