jshort {

My readers, I've had the same message up for a while now, and... I've decided to show you what I'm working on.

Keeping in mind I'm still developing this, here's the first alpha of jshort (version 0.1). It's laughably simple and short (hence the name), yet promisingly effective. Keeping up with the philosophy of this site in general, it finds solutions to JavaScript problems that weren't solved or incredibly difficult before.I will upload documentation and examples later. Contact me if you have anything to say, ask or suggest.

Functions I highly recommend checking out and using:

• $x
• $
• $$ (although its not perfect, pretty darn good so far)
• Array.prototype.dump
• RegExp.prototype.run
• String.prototype.getArg
• String.prototype.autoKillEntities
• String.prototype.toElement
• String.prototype.toNum
• Math.rnd
• String.random

}

Riemann Sum

Here will lay an applet (not in Java) that uses the Riemann sum to approximate the integral of the normal distribution. I will be working on a fully fledged mathematics parser for javascript, so I can do things like the LIMIT of the Riemann sum (which gives the exact integration, of course). The one featured in my framework partitions the function into 5,000 intervals, which means its deadly accurate over small intervals, and tends to lose accuracy over gigantic intervals.

Once again, I was inspired by a good tool that was lacking features / accuracy, and my general love for calculus.

TIP: If you've got Firebug, the functions are under normalcurve and riemann, and the code is live on this page so you can test it out yourself.

Or, you can use this simple console here:

NOTES: I realize there's a bug in approximating integrals over non-negative regions, and I will most certainly check into it. Until then, you can't use this for the two dominant purposes I had in mind: JavaScript applets with physics and calculus homework.