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Pathological Periodicity, Part II: The Cage of Continuity

Pathological Periodicity

periodic functions

modules

dense subsets

continuity

In the previous post, we motivated a series of questions surrounding the sums of periodic functions and the existence of functions with incommensurable periods. Now, we are…

Pathological Periodicity, Part I: Relearning the Basics

Pathological Periodicity

periodic functions

linear algebra

Let me begin with a more narrative introduction to this series, which will be followed by a more technical one in the next post.

Returning, Not Repeating

introduction

philosophy

I did not leave mathematics gracefully.