wolframalpha

WolframAlpha: Solve Multiple Functions

I'm trying to use WolframAlpha to solve for a variable. I have u(k, r) = (900-3k)r^(k-1) and s(n, r) = sum u(k, r), k=1 to n and I want to solve for r with s(5000, r) = -600000000000 I've tried various incantations, but can't seem to get it working. I can't even get s defined to evaluate it. If you care, it is to solve this pr...

How to make a small engine like Wolfram|Alpha?

Lets say I have three models/tables: operating_systems, words, and programming_languages: # operating_systems name:string created_by:string family:string Windows Microsoft MS-DOS Mac OS X Apple UNIX Linux Linus Torvalds UNIX UNIX AT&T UNIX # words word:string defenitions:string wi...

Complex wolframalpha ajax query

I want to write formulas in Mathematica format in my blog, inside tag's formula. What js should I use (and what libary), to replace those tag's, with http://www.wolframalpha.com/ search result image, when Dom gets loaded? For example: <formula>Limit[((3 + h)^(-1) + -1/3)/h, h -> 0]</formula> gets replaced with: If it's to complex o...