On 10/21/2014 04:39 PM, Raymond Rogers wrote:
Let's think about this.
I think the question can be interpreted as a
formating/display problem
for the underlying code.
If you believe so... Let me state it a bit differently
what
datastructure comes out of the series command. Or rather
what is stored
inside the data structure.
Here an example:
(1) -> Z==>Integer; Q==>Fraction Z;
Type:
Void
(2) -> f(q:Q):Q ==
truncate(abs(q*cos(q::Float))+1)*(q/2+1)
Function declaration f : Fraction(Integer) ->
Fraction(Integer) has
been added to workspace.
Type:
Void
(3) -> s: Stream Q := stream(f, 0)
Compiling function f with type Fraction(Integer) ->
Fraction(Integer
)
3 7 15 31 63 127 255 511
(3) [0,1,-,-,--,--,--,---,---,---,...]
2 4 8 16 32 64 128 256
Type:
Stream(Fraction(Integer))
(4) -> p:=series(s)$UnivariateFormalPowerSeries(Q)
(4)
3 2 7 3 15 4 31 5 63 6 127 7
255 8 511 9
x + - x + - x + -- x + -- x + -- x + --- x +
--- x + --- x
2 4 8 16 32 64
128 256
+
1023 10 11
---- x + O(x )
512
Type:
UnivariateFormalPowerSeries(Fraction(Integer))
The only thing that s (the Stream) knows is a function
object f (if you
like you can use f=random). It cannot look inside f
except to ask for
more values. Remember AXIOM code is compiled.
If from that you would somehow be able to extract a
pattern, great, but
I doubt.
Of course I am not that familiar with the Axiom
internals.
Well, you might come from another CAS. AXIOM *is*
different. It is in
general *not* dealing with expression trees. So what you
have in mind
(adding presentation) does not work for Stream of
Series.
That is not saying that it is impossible, but rather
that the Stream and
PowerSeries domains are not appropriate for what you
have in mind. (And
at the moment I don't think there is anything like what
you want in Axiom.)
Ralf
_______________________________________________
Axiom-developer mailing list
address@hidden
https://lists.nongnu.org/mailman/listinfo/axiom-developer