Wolfram Alpha

Stephen Wolfram and his engineers, makers of Mathematica, are at it again.

Wolfram Alpha is Stephen Wolfram's groundbreaking computational knowledge engine, one of the earliest such applications online. 

Type a question into the calculation field, and Wolfram will input the question and output the answer on-screen.: "How many goats in Japan in 1986?" Alpha knows the answer (~47,500).

Input z=x^2+y^2, and Alpha will output a 3-D graph along with detailed information about the relation.

Also of interest is Wolfram Mathematical Functions, the largest repository of mathematical functions ever to exist. 

Math fans, especially, will find Wolfram Alpha a fun site to peruse.

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