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Computing (FOLDOC) dictionary
difference equation
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A relation between consecutive elements of a sequence. The
first difference is
D u(n) = u(n+1) - u(n)
where u(n) is the nth element of sequence u. The second
difference is
D2 u(n) = D (D u(n))
= (u(n+2) - u(n+1)) - (u(n+1) - u(n))
= u(n+2) - 2u(n+1) + u(n)