Re: ListDimension function
- To: mathgroup at smc.vnet.net
- Subject: [mg72588] Re: [mg72595] ListDimension function
- From: Carl Woll <carlw at wolfram.com>
- Date: Thu, 11 Jan 2007 03:08:36 -0500 (EST)
- References: <200701100907.EAA13288@smc.vnet.net>
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.
>
>
How about:
ListDimension[e_]:=Max[Length/@Position[e,List]]
For some of your examples:
ListDimension[{1,2,{3,0,1}}]
2
ListDimension[{{},{{1,2}},a}]
3
ListDimension[{1,2,3+a+Sqrt[x+y]}]
1
Carl Woll
Wolfram Research
- References:
- ListDimension function
- From: carlos@colorado.edu
- ListDimension function