Difference Engine Weierstrass: A machine to compute mathematical tables – Any continuous function can be approximated by a polynomial – Any Polynomial can be computed from difference tables
[latex]
\int{(n)} = n^{2}+n+41 \\
d1(n) = \int{(n)} – \int{(n-1)} = 2n \\
d2(n) = d1{(n)} – d1{(n-1)} = 2 \\
[/latex]
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/