arXiv subjects

Campo Elías González Pineda

Publications and source records attributed to Campo Elías González Pineda.

3 recordsLinked to original sources

arXiv2020

El teorema de Dirichlet, la conjetura de Goldbach y algunas consecuencias

In this article we study in depth the Dirichlet theorem, which states that if a, b are relative prime integers, the sequence p = an + b contains infinite prime numbers, we simplify and generalize this theorem, we enunciate some special theorems (from Elias), we see equivalence with Bertrand's postulate and we deduce the validity of the Goldbach conjecture. Finally we enunciate some additional results that are deduced from the conjecture-theorem of Goldbach-

math.GM↗

arXiv2018

La espiral áurea, su longitud y rectángulos áureos

In this article we calculate the length of the golden spiral, and we study the golden rectangles. We calculate some measures of interest. We also show that the only rectangles that can be subdivided or that generate sub rectangles indefinitely are the golden rectangles. We emphasize that when subdividing a rectangle into sub rectangles, the Fibonacci sequence naturally appears. In addition, we identify the rectangles that resemble the golden rectangles.

math.GM↗

arXiv2017

La maravillosa función y ecuación cuadrática

This article discusses some important applications of the quadratic function with the aim of highlighting the importance of cuadráticas.- forms are also intended to show how a simple function covers virtually all areas of knowledge are presented. The interested reader can display more sites where this function is, perhaps growing populations or chaos, or perhaps in the fractal theory.

math.HO↗