- #1
Zorba
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I've been looking through my notes for the last few weeks and i still do not see the reason for this use of notation that my lecturer uses, for example
We denote by [tex]M^{*} \otimes M \otimes M^{*}[/tex] the vector space of all tensors of type [tex]M \times M^{*} \times M \rightarrow \mathbb{R}[/tex], where M is a finite dimensional real vector space, and M* is the dual space of M.
So why not just say instead:
We denote by [tex]M \otimes M^{*} \otimes M[/tex] the vector space of all tensors of type [tex]M \times M^{*} \times M \rightarrow \mathbb{R}[/tex]
which seems far more natural to me than the first one (and less confusing too...), is there some reason for using the former rather than latter?
We denote by [tex]M^{*} \otimes M \otimes M^{*}[/tex] the vector space of all tensors of type [tex]M \times M^{*} \times M \rightarrow \mathbb{R}[/tex], where M is a finite dimensional real vector space, and M* is the dual space of M.
So why not just say instead:
We denote by [tex]M \otimes M^{*} \otimes M[/tex] the vector space of all tensors of type [tex]M \times M^{*} \times M \rightarrow \mathbb{R}[/tex]
which seems far more natural to me than the first one (and less confusing too...), is there some reason for using the former rather than latter?