most boring post ever...

so guess what. one of my math classes is writing intensive. which means... i have to write in them - sometimes papers! but yeah, here's an example... (you can skip it if you want)

Axiom: Every integer is either even or odd.

Theorem: If a is an integer and a^2 is an even integer, then a is an even integer.

Proof: Let a be an integer where a^2 is an even integer. If a were odd such that a=2q+1 for some integer q, a^2 would be odd because 2(2q^2+2q)+1 is odd. If a were even such that a=2q for some integer q, a^2 is also even because 2(2q^2) is even. So, since all odd integers squared equal odd integers and all even integers squared equal even integers and all integers must be either even or odd, a must be even. Q.E.D.

So yeah, that was part of my homework for the first day :/.... i haven't done proofs since geometry - but those were different. i guess these are more like the justification part in calculus.

oh, and if you ever get a chance to learn how to play steel drums - do it! it's fun. i'm learning now - i play 4 drums with 5 notes on each and the hardest part is learning where all the notes are.... it's not really logical to me, but i'll figure it out. we have practice on sundays and tuesdays from 8-10pm. I'm looking forward to a concert! haha