## Coding Projects

“Software is like entropy: It is difficult to grasp, weighs nothing, and obeys the Second Law of Thermodynamics; i.e., it always increases.”

– Norman Augustine.

# Coding Projects

On this page you can get some more information about some of my coding projects. If you're interested learning more, or want to build off of them, I encourage you to clone them directly from my

# Already Referenced Projects

# Rearrangements

The Riemann series theorem (or Riemann rearrangement theorem) loosely states that for any conditionally convergent series, and any [extended] real number, there exists a rearrangement of the series that converges to the given real number. The proof of this beautiful theorem given in Rudin's book on analysis gives an algorithm for constructing the desired rearrangement. Here, I implement this algorithm and plot the progression of the partial sums of the rearranged series using a few options for conditionally convergent series. Note that for real numbers larger than (more negative than) 8 (-8) the simulation can take a very long time to converge.