RE: ListDimension function
- To: mathgroup at smc.vnet.net
- Subject: [mg72592] RE: [mg72595] ListDimension function
- From: "David Park" <djmp at earthlink.net>
- Date: Thu, 11 Jan 2007 03:24:41 -0500 (EST)
Carlos,
Will the following work?
test1 = a + b;
test2 = {1, 2, x*y};
test3 = {1, 2, {3, 0, 1}};
test4 = {{}, {}, {}};
test5 = {{}, {{1, 2}}, a};
ListDimension[expr_] := Max[Length /@ Position[{expr}, {___}]]
ListDimension /@ {test1, test2, test3, test4, test5}
{0, 1, 2, 2, 3}
David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/
From: carlos at colorado.edu [mailto:carlos at colorado.edu]
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.