Re: nth differences

*To*: mathgroup at smc.vnet.net*Subject*: [mg39869] Re: nth differences*From*: Bill Rowe <listuser at earthlink.net>*Date*: Sun, 9 Mar 2003 05:29:02 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

On 3/8/03 at 2:52 AM, _NOzturnerSPAM_ at cyberonic.com (Zachary Turner) wrote: >Say I have a list of k integers and I want to produce a list >containing the first differences? For example, given {1, 2, 5, 7, 8, >9} the first differences are {1, 3, 2, 1, 1}, and the second >differences are {2, -1, -1, 0}, the third are {-3, 0, 1}, etc ListConvolve[{1,-1},{1, 2, 5, 7, 8, 9}] will compute what you are calling the first difference and Nest[ListConvolve[{1, -1}, #] &, {1, 2, 5, 7, 8, 9}, n] will compute the nth difference