A new approach based on AI tools for mass-radius ratio in exoplanets
Joaquín Álvaro,1 Carlos D. Álvaro 2
1 Europlanet Society - Spain and Portugal Regional Hub
2 Meteologica - Global Weather Service Provider
ABSTRACT
The problem derived from the lack of observational measures for the masses and radios in the set of confirmed exoplanets and also of possible candidates is known. In almost 80%, one or the other of these parameters is known depending on the method of discovery, RV or Transit, but not both at the same time. This is a manifest difficulty for its characterization. Until now, the probabilistic forecast provided by the algorithm of Chen and Kipping (2017), based on a Bayesian statistic, is assumed as a reasonable compromise solution and also covers a wide range of planetary sizes. However, we consider that the scenario in the confluence region of rocky planets, Earth type, and gas, Neptune type, is too simple and ignores details that give this area a significantly richer and more complex structure. We propose here an alternative model based on the application of machine-learning tools on the Composite Planet Data (NASA Exoplanet Archive) for the characterization of exoplanets with R < 5 R⊕.
Sobre la distribución de números primos y compuestos
Aproximación a una prueba de la Conjetura de Goldbach y la infinitud de los primos gemelos
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Joaquín Álvaro
Teoría de Números (enero - 2016)
RESUMEN
Este estudio se desarrolla a partir de las progresiones aritméticas 6𝑘 ± 1 sobre una aritmética modular en el nivel de los valores 𝑘, que definen compuestos si k = ±j + i (6j ±1). Esta caracterización de los compuestos permite discretizar la distribución de números primos por niveles 𝑗. En conexión con el teorema chino del resto se puede configurar un modelo que permite extraer conclusiones de las que se derivan propiedades de interés sobre densidades de primos y compuestos, a partir de las cuales diversas proposiciones, como la infinitud de los pares de primos gemelos o la Conjetura de Goldbach, toman la forma de proposiciones demostrables.