Axiom of façade domains
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Ax::systemRep states that domain elements
are represented by elements of built-in domains.
There are principally two ways to represent the elements of
a domain: On the one hand the elements may be created explicitly by
the system function
on the other hand one may use the built-in (or basic) domains of MuPAD®
to represent the elements.
Domains which don't create elements of their own but use elements of basic domains instead are called façade domains.
The usage of basic domains for the representation has the advantage
that system functions may be used directly as methods of the domain
without the overhead caused by overloading and procedure calls. But
it has some severe limitations, see the domain
Ax::systemRep is used to state
that the elements of a domain are represented by basic domains and
are not created by