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Re: [Axiom-developer] composition of functions not supported in axiom ??


From: William Sit
Subject: Re: [Axiom-developer] composition of functions not supported in axiom ???
Date: Sat, 25 Jul 2009 00:23:22 -0400

Dear Michael:

I think this is a problem with operations on Stream objects, in that evaluation is not automatic (lazy evaluation). Thus you must explicitly request that the Stream be evaluated.

(11) -> maxIndex (complete filterWhile ((x+-> (x ~= 3)),cons(9,istr)) )

  (11) 3
Type: PositiveInteger

William


On Sat, 25 Jul 2009 03:18:41 +0200
 Michael Becker <address@hidden> wrote:


    Hi,

the following shows that f(g(x)) does not always behave as expected.


(1) -> istr := [i for i in 1..]
(1) ->
   (1)  [1,2,3,4,5,6,7,8,9,10,...]
Type: Stream PositiveInteger
(2) -> filterWhile ((x+-> (x ~= 3)),cons(9,istr))
(2) ->
   (2)  [9,1,2]
Type: Stream PositiveInteger
(3) -> maxIndex %
(3) ->
   (3)  3
Type: PositiveInteger (4) -> maxIndex ( filterWhile ((x+-> (x ~= 3)),cons(9,istr)) )
 4) ->
   >> Error detected within library code:
   maxIndex: infinite stream




    -- Michael



  ps:  same result in fricas or open-axiom.









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William Sit, Professor Emeritus
Mathematics, City College of New York Office: R6/202C Tel: 212-650-5179
Home Page: http://scisun.sci.ccny.cuny.edu/~wyscc/




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