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MathGroup Archive 1997

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Re: TensorRank

  • To: mathgroup at smc.vnet.net
  • Subject: [mg9016] Re: [mg8977] TensorRank
  • From: Allan Hayes <hay at haystack.demon.co.uk>
  • Date: Wed, 8 Oct 1997 00:05:14 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

Julian Stoev <stoev at SPAM-RE-MO-VER-usa.net>
[mg8977] TensorRank
writes

>I am not 100% sure, but I am using TensorRank as a function to  
>determine a rank of a matrix. ... Am I wrong to use TensorRank in
>this way?

Julian:

You are right to be doubtful: Tensor rank tells us about the shape  
of the expression not the rank in the matrix sense:

?TensorRank
"TensorRank[expr] gives the depth to which expr is a full array,  
with all the parts at a particular level being lists of the same  
length."

TensorRank[{0,0}]
	1

TensorRank[{{0,0},{0,0}}]
	2
	
TensorRank[{{{0,0},{0,0}},{{0,0},{0,0}}}]
	3
	
Allan Hayes
hay at haystack.demon.co.uk
http://www.haystack.demon.co.uk/training.html
voice:+44 (0)116 2714198
fax: +44 (0)116 2718642
Leicester,  UK	


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