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Re: [Axiom-mail] Type of Expression Problem


From: Ralf Hemmecke
Subject: Re: [Axiom-mail] Type of Expression Problem
Date: Mon, 14 Nov 2005 11:06:27 +0100
User-agent: Thunderbird 1.4 (X11/20050908)

Hello,

Martin Rubey wrote:
Hans Peter Würmli <address@hidden> writes:

Hi

What are my wrong expectations in the following interpreter session when using "typeOf" and "has"

(1) -> e:=(1+n)/(n+k)
        n + 1
   (1)  -----
        n + k
                                           Type: Fraction Polynomial Integer
(2) -> typeOf e
   (2)  Fraction Polynomial Integer
                                                                 Type: Domain
(3) -> typeOf (e) has Fraction Polynomial Integer
   (3)  false

In (3) I would expect true.

Hmm, I can find "typeOf" in the original Axiom book, but HyperDoc does not seem to know it. :-(

Axiom is correct. "A has B" tests whether the Domain or Category A is a member
of *Category* B or satisfies the axiom B.

Oh can one do this with A being a category?

Anyway, what is the semantics of "A has B" if both (A and B) are domains as above in line (3)?

Ralf





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