Dan Tests Layouts

There are a lot of things about group theory that we can prove through group actions. We could take that route if we wanted, but I'm n...

This is going to be a rather boring post. There are a few definitions that I need to get out of the way. After we get done with group act...

Now that we know about group actions, I'm going to give a few examples of some of the more important group actions. I'm not going ...

We're finally going to get back to some group theory today. Group actions give us ways for potentially unrelated things to interact wi...

I've been getting a lot of questions from readers as to whether the Hairy-Ball Theorem is actually a real thing - or, more to the point...

I'm going to change my formatting a little bit just for fun. I'm going to start formatting my theorems, definitions, and example...

In the last two entries, we've seen some of the most common number systems and the rules that each of them get us, and then some of t...