> (v[x-1] - v[x]) + (v[x] - v[x+1]) =
Oh, and just for clarity, you should probably write that as:
(v[x+1]-v[x]) - (v[x]-v[x-1])
rather than:
(v[x-1]-v[x]) - (v[x]-v[x+1])
In your case it makes no difference because you are differentiating twice,
but in general differentials are usually defined to be positive if v[x]
increases with x.
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