3D Math Data structures/SIMD

["Jérôme M. Berger"]

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Janice Caron wrote:
> On 12/22/07, Lukas Pinkowski <Lukas.Pinkowski at web.de> wrote:
>> Well, but why do you call the component-wise multiplication nonsense? As a
>> mathematician you should know that an operator/function is exactly that,
>> what you define it to be. If I define vector/vector-multiplication to be
>> component-wise multiplication, then it is component-wise multiplication.
> 
> Well, yes and no. Obviously you are correct in that one can define any
> function to do anything (...just as you can in any programming
> language). However, whether or not it is meaningful to call such a
> function "multiplication" is another matter. Elementwise
> multiplication is not normally considered to be "multiplication" in
> vector algebra.
> 
	Actually, it is (more or less, the explanations on this page are a
bit more general):
http://en.wikipedia.org/wiki/Algebra_over_a_field

		Jerome
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