Category Archives: The Nation Has Problems

The Nation Has Problems, Vol.3

About Last Month (err...two months ago)

Again, I'll start by talking about the last post. There is an observation for the first problem that makes it much easier that nobody seemed to pick up on. If you are to apply one of the moves twice, it's the same as not doing it at all! It's clear that this is true if you immediately apply the second move after the first, but even if you apply other moves in between, it won't make a difference. If you want, see if this observation will help you solve the problem, otherwise, I'll finish the solution after the break!

Continue reading The Nation Has Problems, Vol.3

The Nation Has Problems, Vol. 1

Hi everybody!  I'm Dr. House!  (no relation)

Normally, I will just right into my post, but since this is the first post in the series, I'll start out talking about what this series is going to be about and what I want to do with it.

The main point will be for me to introduce you some interesting "math" problems.  I put math in quotes, because as a newly appointed doctor of mathematics, my ideas about what constitutes a math problem differs greatly from someone in the general population (more on this in a bit).  Normally, I'll break these posts into 3 parts:

  1. A recap of results/ideas from the preview volume;
  2. A short essay about a topic of my choosing; and
  3. One, two, or more interesting problems for you all to work on!

Since there is no previous volume to recap today, I'm going to lay the ground rules about what it expected from those that participate.  First off, the purpose of these things is for enjoyment.  I'm not going to be keeping track of how many problems you get right, so if you want to cheat and search the internet, I'm not going to try and stop you, but please be respectful and don't immediately post solutions right below the text for everyone to see.  That being said, I don't want to discourage discussion either!  The point is to have fun and discussing interesting problems is fun!

Continue reading The Nation Has Problems, Vol. 1