#10164: Few digits of precision in N().
-----------------------------------+----------------------------------------
   Reporter:  gerbicz              |          Owner:  jason                     
        
       Type:  defect               |         Status:  needs_review              
        
   Priority:  major                |      Milestone:  sage-5.0                  
        
  Component:  misc                 |       Keywords:  N, digits, numerical 
approximation
Work_issues:                       |       Upstream:  N/A                       
        
   Reviewer:  Karl-Dieter Crisman  |         Author:  Robert Gerbicz, Douglas 
McNeil    
     Merged:                       |   Dependencies:                            
        
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Comment(by dsm):

 I don't really object, although putting the overestimate right at the end
 might cause problems for people with more digits than they can possibly
 have memory for, as it's hard to trust arithmetic down at the lsb level
 unless you think harder about things than this problem warrants.  For
 example, `float("3.32192809488736235") < math.log(10,2)`, even though
 `3.32192809488736235 > log(10,2)`, which might not be what you'd guess.

 Anyway, I'm fine with adding more digits, as long as it's still an
 overestimate w.r.t. math.log.  If `3.321928094887363` is okay, then I'll
 update the patch, fix the docs, and we can put this to bed.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10164#comment:14>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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