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DifferenceDelta

DifferenceDelta[f, i]
gives the discrete difference _i f=f (i+1)-f (i).
DifferenceDelta[f, {i, n}]
gives the multiple difference TemplateBox[{f, i, n}, DifferenceDelta3].
DifferenceDelta[f, {i, n, h}]
gives the multiple difference with step h.
DifferenceDelta[f, i, j, ...]
computes the partial difference with respect to i, j, ....
  • All quantities that do not explicitly depend on the variables given are taken to have zero partial difference.
EXAMPLESCLOSE ALL
Basic Examples   (4)
Difference with respect to i:
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Difference with step h:
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The 5^(th) difference with respect to i:
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The 2^(nd) difference with respect to i and step h:
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Enter DifferenceDelta using Esc diffd Esc, and subscripts using Ctrl+_:
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DifferenceDelta is the inverse operator to Sum:
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