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Subject: Re: [boost] different matrix library?
From: Edward Grace (ej.grace_at_[hidden])
Date: 2009-08-14 18:16:21

> and outer product
> vector*transpose(vector) //vector*covector
> since a vector is actually a matrix we can transpose it

Well, semantics I know but they are all tensors. A

  scalar -> tensor of order 0,
  vector -> a tensor of order 1,
  matrix -> a tensor of order 2. ;-)

>> w = wedge(u,v); // Wedge product, function form
>> w = u ^ v; // Wedge product operator form.
>> Though I'm not sure it has the right precedence properties...
>> would be pretty neat.
>> I'll go away and hide now....
> unfortunately i think in linalg domain (you think in tensor domain i
> guess) so we may misanderstand each other
> in the end i think it's possible to attach a mechanism to support
> tensor style operations
> by the way

The more I think about it the less inclined I am towards 'tensors are
the one true way'. Since we can ultimately represent everything
(conceptually) as matrices it may (perversely) make some sense to
treat tensors as a special type of matrix, embuing them with certain

This way it keeps the development reasonably sane, works for most of
the people all the time and could be extended later.

I will ponder that....


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