Recent content by williampb

Hey all, I'm looking to build a stationary bicycle generator as a fun weekend project but have a couple of questions I can't figure out the answer to. It will be a regular bicycle with the rear wheel elevated and fixed to a stand. A belt will be attached to the wheel and the shaft of an...

Haha don't worry. I hike, fish, bike, and run all on a regular basis :)

I've taken differential equations and linear algebra. I have a book on 2-person game theory but have yet to read it haha. I'd love to hear your ideas.

I'm a mathematics major with a stats concentration going into my junior year of college, but now it's summer. I'm not taking any summer courses and frankly I'm bored. I've been studying statistics and probability in my spare time, sometimes a little number theory, but I need a project. I've sat...

I've been having a lot of trouble with this proof lately: Prove that, F_{1}F_{2}+F_{2}F_{3}+...+F_{2n}F_{2n+1}=F^{2}_{2n+1}-1 Where the subscript denotes which Fibonacci number it is. I'm not sure how to prove this by straight induction so what I did was first prove that...