Re: ListDimension function
- To: mathgroup at smc.vnet.net
- Subject: [mg72583] Re: [mg72595] ListDimension function
- From: "Chris Chiasson" <chris at chiasson.name>
- Date: Thu, 11 Jan 2007 02:48:30 -0500 (EST)
- References: <200701100907.EAA13288@smc.vnet.net>
Try this ListDimension[xpr_]:=Depth[xpr/.Except[_List|List]->Sequence[]]-1 On 1/10/07, carlos at colorado.edu <carlos at colorado.edu> wrote: > Hi - I need a short function ListDimension that > given a list returns its "brace dimensionality" = > max number of brace levels to reach deepest entry. > Examples > > List ListDimension > a+b 0 > {1,2,x*y} 1 > {1,2,{3,0,1}} 2 > {{},{},{}} 2 > {{},{{1,2}},a} 3 > > Built-in functions dont seem to be of help. > Dimensions is restricted to matrix or tensor type of lists. > Depth (minus 1) doesnt help as it is entry type dependent: > > Depth[{1,2,3}] -> 2 > Depth[{1,2,3+a}] -> 3 > Depth[{1,2,3+a+Sqrt[x+y]}] -> 5 > > For the above three, ListDimension=1. > > -- http://chris.chiasson.name/
- References:
- ListDimension function
- From: carlos@colorado.edu
- ListDimension function