This summer, I began working on a tutorial for the 128-bit AES cryptosystem. I ended up putting it down for quite a few months and am now just getting back to it. I hope to have it done in the next three weeks, pending school work and such. If it doesn't get done by the end of Thanksgiving break, it will get finished over winter break.

After...

As some of you all may know, this summer I'm working doing summer research related to graph theory and dynamical systems over graphs. In a graph dynamical systems setting, each vertex has a state (such as a binary state) and an update function. The update function looks at the current state of the vertex and its neighbors and produces a new...

I came across this thread today, where the OP was attempting to solve a problem regarding counting divisors. Here, the use of a multiplicative function provided means to optimize when counting divisors for larger numbers.

First, let's define two terms- multiplicative and completely multiplicative. A multiplicative function f...

This semester, I am taking a class called Applied Combinatorics, which has a large Graph Theory component. Today, my professor was introducing planar graphs. We got sidetracked on the Four Color Theorem, which states that a planar graph requires no more than four distinct colors so that no adjacent faces have the same color. I have been working on...

If you haven't checked out my thread Getting Better at Programming Java yet (or even if you have), you should check it out (again). It has now been updated with links to relevant tutorials on Dream.in.Code for most of the topics. If you have a tutorial that you feel belongs on the list, shoot me a PM and we'll look at placing it!

I...