Search
Now showing items 1-10 of 308
Final Degree Project
El teorema de Radon-Nikodym y sus consecuencias
(2021-06-30)
El propósito de este trabajo es dar una prueba del Teorema de Radon-Nikodym, y también presentar algunas de sus consecuencias más importantes. En primer lugar, presentamos algunas propiedades preliminares sobre medidas. ...
Final Degree Project
Final Degree Project
Probabilidades y distribución de los números primos
(2017-06)
In this project, we will try to study the prime factors of a number taken at random. The main objective will be to introduce the probabilistic theory of numbers and, at the same time, several central themes of probability ...
Final Degree Project
Superficies mínimas y el problema de Plateau
(2023-06-01)
En este trabajo estudiaremos las superficies mínimas, un tipo de superficies que, a día de hoy, resultan muy interesantes. Para comenzar, aportaremos una definición geométrica de dichas superficies y veremos cómo esta se ...
Final Degree Project
Ecología matemática: Dinámica estructural en el modelo Lotka-Volterra
(2022-06-22)
This work studies the dynamic of mutualistic ecosystems via Lotka-Volterra model. After exploring the existence and uniqueness of positive solutions, several properties of globally stable equilibrium are shown using the ...
Final Degree Project
Sobre problemas variacionales y optimización
(2023)
The Calculus of Variations is a mathematical field that tries to find the functions that minimize or maximize the value of certain functional defined on a determined space. It is a classic topic in mathematics, interconnected ...
Final Degree Project
Aplicaciones de la programación matemática a la selección de variables en algunos problemas de clasificación
(2015-06)
Whether for how individuals are distributed in a population or recognize factors that cause diseases, classification is one of the fundamental objectives in science. Recognize patterns having a group of individuals (or ...
Final Degree Project
Lógica computacional desde el punto de vista de la programación funcional : eliminación de cuantificadores
(2022-06-15)
Computational Logic is a wide interdisciplinary field having its theoretical and practical roots in mathematics, computer science, logic, and artificial intelligence. Computational Logic try to produce efficient and ...
Final Degree Project
Aproximación en variable compleja
(2016-09)
In the late Nineteenth Century, Weierstrass showed that any continuous real function in a compact can be uniformly approximated by polynomials, but this theorem is not valid for complex functions. In this context, Runge ...
Final Degree Project
Modelos Estadísticos de Riesgo. Aplicaciones Actuariales
(2020)
Risk is an important topic in contemporary society. People are confronted with risks from financial markets, nuclear power plants, natural disasters and privacy leaks in ICT systems, these are just some of the areas in ...