March 13, 2012
Numerical Analysis for Everyone
Chalk up another set of examples for my portfolio.
I spent most of the day today digging up some of my Numerical Analysis stuff from the past few years. Mainly the simple stuff involving the Newton-Raphson method for finding roots and reciprocals of numbers without the use of division. I though about how logarithms would use this method such that computers could do logarithms, but everytime I derived the divisor for Newton's Method, the logarithm function kept showing up. So, I'm going to have to shelve that for now.
I'm also interested in redeveloping a polynomial program that I wrote in C++ and this time letting Java handle that too. Perhaps apply it to some sort of application like encryption, factoring polynomials, drawing Bezier curves in HTML5 Canvas (yeah, there's a function that does it but I'm interested anyway), among other things.
Tomorrow being Pi Day, I'd though I'd give my Java skills an online exercise with some numerical analysis. And share the two iteration steps that have long since been forgotten.
I think the spring air is what's got me motivated and full of energy to do things lately. If I ever get around to it, I think I should sketch out some ideas for an app that allows users to post files (or photos) from their phone to FTP. (I wonder how the guys at Blogger or Tumblr do that?)
I'd still like to post math formulas on here. But I'm thinking of just scanning the paper I wrote my notes down this afternoon on to here. There's not a whole lot else going on at moment.