[vorbis-dev] Dot Product

[Patrick Joseph Curran]

On Wed, 18 Feb 2004, Sebastian Gesemann wrote:

> Yes, this is correct. Actually there're 3 products:
>
> 1) cross product: (defined in R^3)
>    vector X vector --> vector
> 2) dot product:
>    vector X vector --> vector
> 3) scalar product:
>    vector X vector --> scalar
>
> the dot-product can be computed in matlab using the operator ".*"
> the vectors are component-wise multiplicated as you did it.
>
> Ghis!
> Sebastian
>

As others have mentioned, your dot product doesn't really fit with the
math definitions of the standard dot product.
[see:http://en.wikipedia.org/wiki/Inner_product_space] But it seems to be
an invention of vorbis.  Well I have never seen it before.  I vote for a
name change, for clarity's sake.  Also the cross product can be done in
R^n, n>1, if you really need to do it.

                                        -Pat

p.s. I reserve the right to be wrong.

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