In the previous post, I argued that technology has historically exploited layers of smaller and smaller phenomena. During this process, fundamental discoveries in the nature of matter, energy, and information have allowed for the construction of very …
It seems today there are two competing narratives regarding the question of growth. The first regards technology as the key to our economy, our wealth, and our way of being. The second claims that a proper monetary system is foundational for being …
The movement of defects plays a crucial role in macroscopic elasticity, in this post we describe a possible path for obtaining large scale elastic phenomena from microscopic rules. For this we investigate rewrite rules on Bravais lattices that move …
We design a two-dimensional density estimation scheme via diffusion that conserves the first order moments and the total mass in the estimation process. In order to conserve the first order moments and the total mass throughout the time iteration, a …
Orthogonal polynomials are of fundamental importance in many fields of mathematics and science, therefore the study of a particular family is always relevant. In this manuscript, we present a survey of some general results of the Hermite polynomials …