Results 41 to 50 of about 341,235 (326)
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
core +2 more sources
Geometric Representations of Interacting Maps
International Journal of Mathematics and Mathematical Sciences, 2010 Tropical geometry is a kind of dynamical scale transform which connects automata with real rational dynamics. Real rational dynamics are deeply studied from global analytic viewpoints.
Tsuyoshi Kato
doaj +1 more source
A new form of the Saint-Venant equations for variable topography [PDF]
Hydrology and Earth System Sciences, 2020 The solution stability of river models using the one-dimensional (1D) Saint-Venant equations can be easily undermined when source terms in the discrete equations do not satisfy the Lipschitz smoothness condition for partial differential equations ...
C.-W. Yu, B. R. Hodges, F. Liu
doaj +1 more source
Optical tomography of the aurora and EISCAT [PDF]
Annales Geophysicae, 1998 Tomographic reconstruction of the three-dimensional auroral arc emission is used to obtain vertical and horizontal distributions of the optical auroral emission.
H. U. Frey +5 more
doaj +1 more source
Smooth connectivity in real algebraic varieties [PDF]
Numerical AlgorithmsA standard question in real algebraic geometry is to compute the number of connected components of a real algebraic variety in affine space. This manuscript provides algorithms for computing the number of connected components, the Euler characteristic ...
Joseph Cummings +3 more
semanticscholar +1 more source
Bundles over Quantum RealWeighted Projective Spaces
Axioms, 2012 The algebraic approach to bundles in non-commutative geometry and the definition of quantum real weighted projective spaces are reviewed. Principal U(1)-bundles over quantum real weighted projective spaces are constructed.
Tomasz Brzeziński, Simon A. Fairfax
doaj +1 more source
Sampling Real Algebraic Varieties for Topological Data Analysis [PDF]
International Conference on Machine Learning and Applications, 2018 Topological data analysis (TDA) provides tools for computing geometric and topological information about spaces from a finite sample of points. We present an adaptive algorithm for finding provably dense samples of points on real algebraic varieties ...
Emilie Dufresne +3 more
semanticscholar +1 more source
A zero-dimensional approach to compute real radicals [PDF]
Computer Science Journal of Moldova, 2008 The notion of real radicals is a fundamental tool in Real Algebraic Geometry. It takes the role of the radical ideal in Complex Algebraic Geometry. In this article I shall describe the zero-dimensional approach and efficiency improvement I have found ...
Silke J. Spang
doaj
Monodromy and K-theory of Schubert curves via generalized jeu de taquin [PDF]
, 2015 We establish a combinatorial connection between the real geometry and the $K$-theory of complex Schubert curves $S(\lambda_\bullet)$, which are one-dimensional Schubert problems defined with respect to flags osculating the rational normal curve.
Gillespie, Maria Monks, Levinson, Jake
core +3 more sources
Intrinsic signs and lower bounds in real algebraic geometry [PDF]
, 2011 A classical result due to Segre states that on a real cubic surface in ${\mathbb P}^3_\R$ there exists two kinds of real lines: elliptic and hyperbolic lines.
C. Okonek, A. Teleman
semanticscholar +1 more source