Natural Blogarithms

“The miracle of the appropriateness of the language of mathematics to the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve”.
from The Unreasonable Effectiveness of Mathematics in the Natural Sciences by Nobel Laureate Eugene Wigner (1960)

An article by the author Mario Livio, who recently wrote the book Is [...]

Eventually or Frequently?
The two terms, “eventually” and “frequently,” stood out to me as having fairly interesting definitions when the came up some introductory courses in analysis and toplogy while I was in graduate school. Specifically, I am referring their use in the context of infinite sequences. Now to lay the foundation for the [...]

Discretize Spaces
My last entry mentioned that the next post would focus on why I find approximation theory so interesting. I’ve been chewing on an idea / illustration for some time now that I want to run by my readers. Much of my research in has been spent in using finite dimensional function spaces [...]

A Well Ordering Principle
In set theory, we describe a set as being totally ordered if there exists a binary relation, , that is antisymmetric, transitive and total.

A binary relation, is antisymmetric if and
A binary relation, is transitive if and
A binary relation, is total if either or [...]