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On sign conditions over real multivariate polynomials
(Springer, 2010-07)
We present a new probabilistic algorithm to find a finite set of points intersecting the closure of each connected component of the realization of every sign condition over a family of real polynomials defining regular ...
Descartes' rule of signs for polynomial systems supported on circuits
(Oxford University Press, 2017-11)
We give a multivariate version of Descartes' rule of signs to bound the number of positive real roots of a system of polynomial equations in n variables with n+2 monomials, in terms of the sign variation of a sequence ...
Algorithms of Intrinsic Complexity for Point Searching in Compact Real Singular Hypersurfaces
(Springer, 2012-02)
For a real square-free multivariate polynomial F, we treat the general problem of finding real solutions of the equation F=0, provided that the real solution set {F=0}ℝ is compact. We allow that the equation F=0 may have ...
ROBUSTNESS ANALYSIS OF AN AIR HEATING PLANT AND CONTROL LAW BY USING POLYNOMIAL CHAOS
(Amer Inst Physics, 2014-01-01)
This paper presents a robustness analysis of an air heating plant with a multivariable closed-loop control law by using the polynomial chaos methodology (MPC). The plant consists of a PVC tube with a fan in the air input ...
Propiedades de algunos sistemas de polinomios ortogonales Sobolev en varias variables
(Universidad Nacional de ColombiaBogotá - Ciencias - Doctorado en Ciencias - MatemáticasDepartamento de MatemáticasFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2022-02-01)
En este trabajo estudiamos algunas propiedades algebraicas y analíticas de los polinomios ortogonales en varias variables reales con respecto a un producto interno Sobolev continuo-discreto. Consideramos los polinomios ...
Sign Conditions for Injectivity of Generalized Polynomial Maps with Applications to Chemical Reaction Networks and Real Algebraic Geometry
(Springer, 2016-02)
We give necessary and sufficient conditions in terms of sign vectors for the injectivity of families of polynomial maps with arbitrary real exponents defined on the positive orthant. Our work relates and extends existing ...
Nonparametric Significance Testing And Group Variable Selection
(Academic Press Inc., 2015)
Superficie de respuesta con bloques en supervivencia
(Universidad Nacional de ColombiaBogotá - Ciencias - Maestría en Ciencias - EstadísticaDepartamento de EstadísticaFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2020-06)
In this work, a methodology is proposed to fit a survival model to a response surface in the presence of blocks, in order that this methodology allows improving the estimation of parameters and prediction in models where ...
Modelo de corrección de color en imágenes digitales
(2019-11-05)
RESUMEN:
En la fotografía digital, la influencia de los iluminantes y las cámaras comerciales en la
apariencia de la escena obtenida es ampliamente reconocida. Usualmente, la estandarización
de las imágenes tomadas con ...