difference engine.

Difference Engine
A machine to compute mathematical tables

–	 Any continuous function can be approximated by a
–	 Any Polynomial can be computed from difference tables

<br /> \int{(n)} = n^{2}+n+41 \\<br /> d1(n) = \int{(n)} - \int{(n-1)} = 2n \\<br /> d2(n) = d1{(n)} - d1{(n-1)} = 2 \\<br />
Make a Table with the equations.
You can use Addition and Find the next value of function for a new “n”.

source : http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-823-computer-system-architecture-fall-2005/lecture-notes/

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