First differences:

Second differences:

First differences:

The same thing, more verbosely:

Compute differences between elements two positions apart:

Compute differences between elements three positions apart:

Differences of rows, within each column:

Differences of columns, within each row:

Differences of a regularly sampled TimeSeries:

Compare to differencing the values:

Deduce the degree of a sequence by seeing when successive differences become constant:

Finite difference approximation to the Laplacian of a Gaussian:

Prices of a stock at close:

Find the daily differences between stock values at close:

Find the proportion of days with increase in price at close:

First differences are constant for a linear function:

Second differences are constant for a quadratic function:

Successive differences are progressively shorter:

If list has length l, Differences[list,n,s] has length Ramp[l-ns]:

Differences[list] is equivalent to Rest[list]-Most[list]:

It is also equivalent to ListConvolve[{1,-1},list]:

FoldList acts as an inverse of Differences:

Differences of an irregularly sampled TimeSeries may differ from differences of the values:

Compare with Differences of the values:

Set TemporalRegularity to True and compute differences of the new time series:

Now the value differences agree:

Successive differences mod 2 of a sequence based on the primes:

Pattern resembling Pascal's triangle: