
From:  Ralf Hemmecke 
Subject:  [Axiomdeveloper] Re: Aldor and Axiom 
Date:  Tue, 14 Feb 2006 15:46:41 +0100 
Useragent:  Thunderbird 1.5 (X11/20051201) 
Hi Cliff,
Agreed. Am I correct that the logical starting point is to identify where the compiler ends and the math begins (whether it is set/category theory or Axiom's domain and cagetory implementation or whatever) and get the core parts documented and working on top of Aldor?
Yes, I think that is a starting point, but it is not that simple.The logical reason why there are two libraries in Aldor (libaldor and libalgebra) is that the first one just provides basic functionality. libaldor is a kind of lowlevel library.
Manuel Bronstein once explained to me that libaldor is just a nonmathematical library. Every mathematics comes in libalgebra. In libaldor's design, speed was one issue. For example, Array indexing starts at zero and thus maps without overhead to Carrays. That causes a little confusion at first, but if one works with Matrix from libalgebra, the minimal index is 1.
There is not need to use Array except to use it as a datastructure to store objects. If one needs a mathematical object than one should say so, for example choose Vector (which has minimal index 1).
I'd happy to translate libaldor into pamphlets. (Of course, help is appreciated.)
Ralf
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