Trabajo de Fin de Grado del Doble Grado en Ingeniería Informática y Matemáticas de la Universidad de Granada. Curso 2019/20.
This repository contains the source code of my bachelor's thesis in Computer Science and Mathematics at the University of Granada, which is licensed under a CC BY-SA-4.0 license.
The compiled pdf version of the thesis is available here. It can also be generated using latexmk -pdf thesis inside the src directory (requires lualatex). The template used is a slightly modified version of scientific-thesis-template.
We study the interaction between fuzzy systems and Big Data and undertake the task of designing and implementing a suite of scalable fuzzy learning algorithms. The code developed is available on a separate repository.
We study ordinary differential equations in implicit form, that is, equations for which the derivative cannot be isolated. We review the standard theory of explicit ODEs, we present both algebraic and geometrical approaches to implicit equations from the general theory of differentiable mappings, and lastly we examine some classical examples such as Lagrange or Clairaut equations. A study of singular points and singular solutions that arise in implicit equations is also carried out.