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