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Re: Continued Fraction Trouble

  • To: mathgroup at smc.vnet.net
  • Subject: [mg111068] Re: Continued Fraction Trouble
  • From: Nicholas <physnick at gmail.com>
  • Date: Mon, 19 Jul 2010 02:09:27 -0400 (EDT)
  • References: <i1u1ur$7ph$1@smc.vnet.net>

On Jul 18, 1:03 am, Bob Hanlon <hanl... at cox.net> wrote:
> On my system, I do not get the behavior that you showed
>
> $Version
>
> 7.0 for Mac OS X x86 (64-bit) (February 19, 2009)
>
> quadcon[a_, c_, n_] :==
>  FromContinuedFraction[Take[Flatten@
>     Table[{a c, a}, {1/8 (6 + 4 n)}], n]]
>
> data == Table[quadcon[1, -5, i], {i, 1, 200}];
>
> N[data, 2]
>
> {-5.0,-4.0,-3.8,-3.7,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3=
.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3=
.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3=
.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3=
.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3=
.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3=
.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3=
.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3=
.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3=
.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3=
.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3=
.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3=
.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3.6,-3=
.6,-3.6,-3.6,-3.6,-3.6,-3.6}
>
> However, asking for low precision calculations is not conducive to good r=
esults. Recommend that you use NumberForm to control what is displayed
>
> NumberForm[data // N, {4, 1}]
>
> Bob Hanlon

Bob,

Thank you very much for testing this, and I am surprised that you did
not get the behavior I was talking about.  I ran into this trouble on
both of my systems:

7.0 for Microsoft Windows (32-bit) (November 10, 2008)

and

7.0 on a 64-bit Linux distribution at work.

However, I tried it with

5.0 for Microsoft Windows (June 11, 2003)

that happened to be on my system, and I did not seem to encounter the
problem, could it be an earlier version of 7 that is causing the
problem? Would this be fixed with an update?  I think I will contact
support.

Additionally, I was interested in the exact results, but to display
them for troubleshooting purposes on the MathGroup, I chose to display
the problem using N since the exact rational numbers would have been
overkill, but I will use NumberForm in the future.

Anyway, thank you for your help.

Nick.


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