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Diff — Finite difference

Revision #2346 → #2989 · back to history

modifiedCommutation of Δ^k and ∇^n on sequences79a806e70c9d
FieldFrom #2346To #2989
labelPower and Leibniz rule for differencesCommutation of Δ^k and ∇^n on sequences
noteThe Leibniz/product rule `Δ(fg) = Δf · g + f · Δg + Δf · Δg` is `fwdDiff_smul`; no power rule for differences is stated.The commutation/power identity relating iterated forward and backward differences is not stated as such; the closest formalized fact is the discrete Leibniz rule `fwdDiff_smul`.
provenanceaiai-moderated
addedBinomial coefficientfe2b4fcceb72
addedShift operator41cc3717dd00
addedTaylor's theorem342bea509531