# Category Archives: MathematicalADD

## Mathematics and Myself from July 2013

In the process of deciding which things to take with me to Michigan, I came across something really really cool! It was a print-out of an email from July 26, 2013 that I had sent to my mom, asking for … Continue reading

## On a set that detects the convergence of a sum of reciprocals using relative density: A proposal for an indicator set and a proof of its nonexistence.

Natural Density Suppose we take a subset of the natural numbers and look at the sum of the reciprocals of its elements: One question we can ask here is: for which subsets does this sum converge? Though there are many routes … Continue reading

## Integration By Parts Table Method and Strange Sums

Today, I will be writing about calculus. How many of you have heard of the table method for integration by parts? Not many, if my tutees at the Science and Math Learning Center are any indication. If it sounds unfamiliar, then … Continue reading

## The Perko Praxinoscope and the Shrikhande Graph

As I mentioned in my previous update, I fixed the design for the Perko knots on the pegs, and made a decision on designing the Shrikhande graph so that it looked like the Rook’s graph. Well I sent them off … Continue reading

## Crossless Edge-Colorings

Introduction This post is an exploration of something I brought up in my last post: in order to nicely design the Shrikhande for 3D printing, I decided to draw it up (using Tikz) and use color to denote the orientation of … Continue reading

## Quick Update on the 3D Printing Project

As the title suggests, this is just a quick update on the 3D printing project I’ve been doing this year. First, after multiple failed attempts to print the Perko knots attached to pegs for the praxinoscope, I have finally created … Continue reading

## Visualizing the difference between the 4×4 Rook’s graph and the Shrikhande graph

In the summer of 2015, I did a research project characterizing the critical groups of the Rook’s graph and its complement. I won’t be talking much about that specific project here – instead, I just want to look at the … Continue reading