The objectives of this study are to suggest a specific taxonomy for the attitude markers used in Twitter after government decrees about coronavirus and to investigate if attitude markers indicate that power distance is accepted in Spain and if government decisions are respected. Finally, we study semantic webs in attitude markers. The corpus compiled for this study is composed by the tweets to the decrees of the Ministry of Health and Public Health from 12th to 16th March 2020. We analysed the data with the tools METOOL and GePhi. In the results it was observed that Spanish citizens preferred a closer relationship with power and it was noticed an increase in aggressive language. Finally, conclusions were drawn. Los objetivos de este estudio son, primero, proponer una taxonomía de los marcadores de actitud más frecuentes utilizados en Twitter tras los comunicados del gobierno sobre el coronavirus, segundo, investigar si nos muestran que existe una aceptación del poder en España, así como un respeto a sus decisiones y, finalmente, identificar redes semánticas entre los marcadores de actitud. El corpus recopilado para el estudio está compuesto por los tuits que comentan los comunicados del Ministerio de Sanidad y Salud Pública desde el 12 al 16 de marzo de 2020. Una vez analizados los datos con las herramientas METOOL y GePhi, se observó que se desea una relación con el poder más cercana y que aumentaba la agresividad de los tuits. Finalmente, describimos las conclusiones de este estudio.
The Pascal triangle is so simple and rich that it has always attracted the interest of professional and amateur mathematicians. Their coefficients satisfy a myriad of properties. Inspired by the work of Shekatkar et al., we study the divisibility patterns within the elements of the Pascal triangle, through its decomposition into Pascal’s matrices, from the perspective of network science. Applying Kolmogorov–Smirnov test, we determine that the degree distribution of the resulting network follows a power-law distribution. We also study degrees, global and local clustering coefficients, stretching graph, averaged path length and the mixing assortative.
Divisibility networks of natural numbers present a scale-free distribution as many other process in real life due to human interventions. This was quite unexpected since it is hard to find patterns concerning anything related with prime numbers. However, it is by now unclear if this behavior can also be found in other networks of mathematical nature. Even more, it was yet unknown if such patterns are present in other divisibility networks. We study networks of rational numbers in the unit interval where the edges are defined via the divisibility relation. Since we are dealing with infinite sets, we need to define an increasing covering of subnetworks. This requires an order of the numbers different from the canonical one. Therefore, we propose the construction of four different orders of the rational numbers in the unit interval inspired in Cantor’s diagonal argument. We motivate why these orders are chosen and we compare the topologies of the corresponding divisibility networks showing that all of them have a free-scale distribution. We also discuss which of the four networks should be more suitable for these analyses.