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Differences

Differences[list]
gives the successive differences of elements in list.

Differences[list, n]
gives the n

differences of list.

Differences[list, {n₁, n₂, ...}]
gives the successive n_k

differences at level k in a nested list.

MORE INFORMATION

Differences[list] is equivalent to ListConvolve[{1, -1}, list].

If list has length s, Differences[list, n] has length s-n. »

Differences[m, {1, 0}] or Differences[m, 1] finds the successive differences of rows in a 2D array or matrix m. Differences[m, {0, 1}] finds the differences of columns.

Differences[list, {n₁, n₂}] is equivalent to Differences[Differences[list, n₁], {0, n₂}].

Basic Examples (2)

First differences:

Second differences:

Applications (2)

Properties & Relations (4)

Neat Examples (2)

ListConvolve Subtract Accumulate FoldList

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