Ingeniería Civil Informática y Telecomunicaciones

URI permanente para esta comunidad

https://repositorio.uft.cl/handle/20.500.12254/2435

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Examinando Ingeniería Civil Informática y Telecomunicaciones por Materia "1.1.1 - Matemáticas Puras"

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    Ítem
    Essential minimum in Families of Lines
    (Universidad Adam Mickiewicz; Facultad de Matemáticas y Ciencias de la Computación, 2025-09-24) Morales Inostroza, Marcos Isai
    We apply general methods to produce upper bounds for the essential minimum of a specific family of height functions. In particular, the results shown in this article apply to the case of the Zhang-Zagier height. Furthermore, we can find intervals, where the images of these heights are dense. Our main tool to find upper bounds and intervals of density is a refinement of the classical Fekete-Szegö theorem due to Burgos Gil, Philippon, Rivera-Letelier and Sombra. El artículo consiste en acotar una invariante asociada a una altura dentro de variedades algebraicas, ultilizando herramientas de geometría aritmética, teoría de números y variable compleja. En general, las funciones alturas desempeñan un rol muy importante en muchas ramas de la matemática debido a que permite entender la distribución de los llamados small points que juegan un papel importante en la teoría de equidistribución.
  • Miniatura
    Ítem
    Revealing the secrets of the number pi and copper number algorithms
    (Mathematics and Technology, LLC, 2025-10-13) Silva Ulloa, Adrián
    The present text constitutes a compilation of humanity's fervour to ascertain the enigmatic number pi, entitled "Revealing the secrets of the number pi and the algorithms of the copper number". In this essay, we seek to illuminate the hidden intricacies of this number, explore its potential connections with other numerical entities, investigate the alleged falsehoods associated with its proponents, and delve into more complex subjects by employing calculus, series, and contemporary technologies. The document's intention is to demonstrate the methods and justify the interesting procedures that lead to the solution of numerical problems, with a particular focus on the number pi. It is a valuable resource for mathematicians, computer scientists, and anyone with an interest in formulas or the human ingenuity behind their discovery. The author posits that each contribution of knowledge leads to a subsequent step, and the discovery of the so-called "absolutely convergent series" will allow the reader to devise an algorithm to find all the digits of pi.