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A irracionalidade e transcendência do número π
(Universidade Estadual Paulista (UNESP), 2014)
Zariski cancellation problem for skew PBW extensions
(Bogotá - Ciencias - Doctorado en Ciencias - MatemáticasDepartamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-06-19)
A special question for noncommutative algebras is Zariski cancellation problem. In this thesis we establish cancellation for some special classes of algebras such as skew PBW extensions, some Artin--Schelter regular algebras ...
On Whitney duals of operadic posets
(Medellín - Ciencias - Maestría en Ciencias - MatemáticasEscuela de matemáticasUniversidad Nacional de Colombia - Sede Medellín, 2020-04-27)
The notion of a Whitney dual for a graded partially ordered set (poset) $P$ with a minimum element $\hat{0}$ has been introduced recently by Gonz\'alez D'Le\'on and Hallam with some interesting connections to other areas ...
Calculus-free derivatives of sine and cosine
(Wolfram Demonstration Project, 2016)
Gregory Series
(Wolfram, 2016)
Landau and Kolmogoroff type polynomial inequalities
(Gordon Breach Sci Publ Ltd, 2014)
The rolling ball problem on the plane revisited
(Springer, 2014)
Atiyah-Segal’s completion theorem
(Medellín - Ciencias - Maestría en Ciencias - MatemáticasEscuela de matemáticasUniversidad Nacional de Colombia - Sede Medellín, 2020-04-29)
This dissertation is about Atiyah-Segal's theorem of completion. The first part studies the basic concepts of vector bundles and representation theory. Then we study K-theory and equivariant K-theory. Lastly, we construct ...
Control de alto desempeño para un motor de reluctancia conmutada basado en rechazo de perturbaciones periódicas y técnicas ADRC
(Bogotá - Ingeniería - Maestría en Ingeniería - Automatización IndustrialUniversidad Nacional de Colombia - Sede Bogotá, 2019-05-25)
The switched reluctance motor is a relatively simple electrical machine that is attractive in different applications given its high efficiency characteristics, high torque at low speed, low manufacturing costs, among others. ...