Well, I was in math class.. you know, relaxing, not paying too much attention (not that attention was needed or anything)...

We were doing tangents, you know what they are.. finding the pente (umm... slope?) at a point on a quadratic.

Anyways, the teacher kept going on about limits and such (oh.. sooo complicated) while I messed around with numbers. Now, completely on my own, I figured out that 2ax + b = slope of ax^2 + bx + c. (I basicly just did x^2, then 2x^2, then 2x^2 + 1 etc.. trial and error.. first tries.. lol)

I moved on to third degree. Figured since it was 2ax, and 1b, it would be 3ax^2 + 2bx + c. Dead hit. First guess. Swear to god.

I then figured out that the slope of any polynomial is all the sum of all exponentials divided by x * the original exponent.


Look ahead in book.. yep.. it;s there (you know.. 40 pages ahead )





Anyways.. just figured it was cool I figured it out on my own.



Oh, and to top the day off. I sped up the update procedure on the program I'm working on by about 100x with a binary tree search... oh yes that was sweet.