[Maxima-bugs] [ maxima-Bugs-649428 ] new simpsum / taylor bug

[SourceForge.net <no...@so...>]

Bugs item #649428, was opened at 2002-12-06 02:42
Message generated for change (Comment added) made by robert_dodier
You can respond by visiting: 
https://sourceforge.net/tracker/?func=detail&atid=104933&aid=649428&group_id=4933

Please note that this message will contain a full copy of the comment thread,
including the initial issue submission, for this request,
not just the latest update.
Category: None
Group: None
Status: Closed
Resolution: None
Priority: 5
Submitted By: Martin Rubey (kratt5)
Assigned to: Nobody/Anonymous (nobody)
Summary: new simpsum / taylor bug

Initial Comment:
This is a new simpsum / taylor bug. Note that I used a patched version of 
Maxima, as described in the simpsum bug thread: 
 
combin.lisp 
933,935c927,929 
< ;;       nil    ;; Kratt5 26.11.2002 
< ;      #-cl 
<        (let (*a *n (var *var*)) ; freevar expects "var", not "*var*" 
--- 
>        nil 
>        #-cl 
>        (let (*a *n) 
 
 (C1) build_info(); 
 
 
Maxima version: 5.9.0rc3 
Maxima build date: 21:0 11/26/2002 
host type: i686-pc-linux-gnu 
lisp-implementation-type: Kyoto Common Lisp 
lisp-implementation-version: GCL-2-5.0 
 
(D1) 
(C2)  
factsum3(mt,ej):=sum((-1)^(k+1)/(k*mt^k)*sum((1-l)^k-l^k,l,1,ej),k,1,INF)$ 
 
(C3)  taylor(factsum3(mt,ej),[mt,0,3,ASYMP]); 
 
         ej                  ej                  ej 
        ====                ====                ==== 
        \                   \                   \           3      2 
         >    (- 2 l + 1)    >    (- 2 l + 1)    >    (- 2 l  + 3 l  - 3 l + 1) 
        /                   /                   / 
        ====                ====                ==== 
        l = 1               l = 1               l = 1 
(D3)/T/ ----------------- - ----------------- + ------------------------------- 
               mt                     2                          3 
                                  2 mt                       3 mt 
 
                                                                        + . . . 
(C4)  taylor(factsum3(mt,ej),[mt,0,3,ASYMP]),simpsum; 
 
                           2     2      4    2 
                          l     l      l  + l 
(D4)/T/                 - -- + ----- - ------- + . . . 
                          mt       2        3 
                               2 mt     6 mt 
(C5) 
 
This is nearly correct, only l should be changed to ej... 
 
Martin 

----------------------------------------------------------------------

Comment By: Robert Dodier (robert_dodier)
Date: 2005-11-24 01:43

Message:
Logged In: YES 
user_id=501686

The reported bug is not present in the current cvs version of
Maxima. 

Thank you for your report. If you see this bug in a later version
of Maxima, please submit a new bug report.


----------------------------------------------------------------------

You can respond by visiting: 
https://sourceforge.net/tracker/?func=detail&atid=104933&aid=649428&group_id=4933