>> I noticed your Clifford Algebra some time ago and was impressed. Geometric 
>> Algebra with
>> its infinite dimensional structures needs lazy evaluation so Haskell should 
>> shine, no
>> doubt

> Some uses use the somewhat hazy idea of infinite dimensional Clifford 
> algebras,
> notable some versions of quantum field theory, but most uses are quite finite
> dimensional.

GA is infinite in nature. It can be viewed mathematically as factorizable 
Clifford algebra
but consistent geometrical interpretation is not possible as elements of 
Clifford algebra
can be constructed by addition. Haskell cannot profit from functional analyses 
methods as
yet - hence multidimensionality in geometrical context sprung to my mind.

I didn't think Don wanted his examples to compete with tens of well groomed
low-dimensional Clifford packages and libraries spanning Java, C, C++, all 
CAS-es, etc. On
this level of presentation only multidimensionality can give Haskell any 
justice.




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