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Re: the meaning of rユ.......ï¾

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From Mark Lawrence <breamoreboy@yahoo.co.uk>
Subject Re: the meaning of rユ.......ï¾
Date Wed, 25 Jul 2012 07:37:33 +0100
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On 25/07/2012 07:07, Steven D'Aprano wrote:
> On Wed, 25 Jul 2012 13:07:03 +1000, Ben Finney wrote:
>
>> Maarten <maarten.sneep@knmi.nl> writes:
>>
>>> You just missed it:
>>> 22/7
>>
>> Which is appropriate, since 22/7 misses π by a wide margin. (355/113 is
>> my favourite approximation to π, and is far more accurate.)
>
> Approximation? Pffft. I use the exact value:
>
> π = 16*arctan(1/5) - 4*arctan(1/239)
>
>
> For those lacking ambition, another approximation is:
>
> π ≈ 9801 ÷ (2206*√2)
>
> Other interesting approximations are:
>
> π ≈ 9/5 + √(9/5)
>
> π ≈ √√(2143/22)
>
> See more here:
>
> http://mathworld.wolfram.com/PiFormulas.html
> http://mathworld.wolfram.com/PiApproximations.html
>
>
>> −1 on associating 22/7 as anything to do with π.
>
> I believe that 22/7 is the closest approximation to π with a denominator
> under 100. It is the second convergent of the continued fraction:
>
> π = [3; 7, 15, 1, 292, 1, 1, 1, 2, 1, 3, 1, 14, 2, 1, 1, 2, 2, 2, 2, ...]
>
> which means that, like it or not, 22/7 *is* associated with π.
>
>
>

Any civil engineers reading this who would find 22/7 perfectly adequate 
for their task?

-- 
Cheers.

Mark Lawrence.

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Thread

Re: the meaning of r’.......‘ Chris Angelico <rosuav@gmail.com> - 2012-07-23 17:59 +1000
  Re: the meaning of r’.......‘ Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2012-07-23 08:07 +0000
    Re: the meaning of rユ.......ï¾ Roy Smith <roy@panix.com> - 2012-07-23 08:55 -0400
      Re: the meaning of rユ.......�¾ Chris Angelico <rosuav@gmail.com> - 2012-07-23 23:06 +1000
        Re: the meaning of r¹.......?3Ž4 Roy Smith <roy@panix.com> - 2012-07-23 09:22 -0400
        Re: the meaning of rユ.......�¾ Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2012-07-23 15:59 +0000
          Re: the meaning of rユ.......�¾ Chris Angelico <rosuav@gmail.com> - 2012-07-24 02:10 +1000
          Re: the meaning of r?.......?¾ Dennis Lee Bieber <wlfraed@ix.netcom.com> - 2012-07-23 16:46 -0400
          Re: the meaning of r`.......` Thomas Rachel <nutznetz-0c1b6768-bfa9-48d5-a470-7603bd3aa915@spamschutz.glglgl.de> - 2012-07-24 10:45 +0200
      Re: the meaning of rユ.......ï¾ Alex Strickland <sscc@mweb.co.za> - 2012-07-23 15:10 +0200
      Re: the meaning of rユ.......�¾ Dave Angel <d@davea.name> - 2012-07-23 09:22 -0400
        Re: the meaning of rユ.......�¾ Larry Hudson <orgnut@yahoo.com> - 2012-07-24 00:01 -0700
      Re: the meaning of rユ.......ï¾ Henrik Faber <hfaber@invalid.net> - 2012-07-23 15:24 +0200
        Re: the meaning of rユ.......ï¾ Chris Angelico <rosuav@gmail.com> - 2012-07-23 23:35 +1000
          Re: the meaning of rユ.......ï¾ Henrik Faber <hfaber@invalid.net> - 2012-07-23 15:52 +0200
            Re: the meaning of rユ.......ï¾ Henrik Faber <hfaber@invalid.net> - 2012-07-23 15:55 +0200
              Re: the meaning of rユ.......ï¾ Henrik Faber <hfaber@invalid.net> - 2012-07-23 15:59 +0200
                Re: the meaning of rユ.......ï¾ Alain Ketterlin <alain@dpt-info.u-strasbg.fr> - 2012-07-23 16:08 +0200
                Re: the meaning of rユ.......ï¾ Mark Lawrence <breamoreboy@yahoo.co.uk> - 2012-07-23 15:43 +0100
                Re: the meaning of rユ.......ï¾ Henrik Faber <hfaber@invalid.net> - 2012-07-23 16:43 +0200
                Re: the meaning of rユ.......ï¾ Mark Lawrence <breamoreboy@yahoo.co.uk> - 2012-07-23 16:29 +0100
                Re: the meaning of rユ.......ï¾ John Gordon <gordon@panix.com> - 2012-07-23 15:56 +0000
                Re: the meaning of rユ.......ï¾ Chris Angelico <rosuav@gmail.com> - 2012-07-24 02:09 +1000
                Re: the meaning of rユ.......ï¾ Ben Finney <ben+python@benfinney.id.au> - 2012-07-25 00:35 +1000
                Re: the meaning of rユ.......ï¾ Chris Angelico <rosuav@gmail.com> - 2012-07-25 00:50 +1000
                Re: the meaning of rユ.......ï¾ Maarten <maarten.sneep@knmi.nl> - 2012-07-24 07:44 -0700
                Re: the meaning of rユ.......ï¾ Ben Finney <ben+python@benfinney.id.au> - 2012-07-25 13:07 +1000
                Re: the meaning of rユ.......ï¾ Chris Angelico <rosuav@gmail.com> - 2012-07-25 14:11 +1000
                Re: the meaning of rユ.......ï¾ Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2012-07-25 06:07 +0000
                Re: the meaning of rユ.......ï¾ Mark Lawrence <breamoreboy@yahoo.co.uk> - 2012-07-25 07:37 +0100
                Re: the meaning of rユ.......ï¾ Ben Finney <ben+python@benfinney.id.au> - 2012-07-25 16:43 +1000
                Re: the meaning of rユ.......ï¾ Mark Lawrence <breamoreboy@yahoo.co.uk> - 2012-07-25 08:13 +0100
                Re: the meaning of rユ.......ï¾ Ian Kelly <ian.g.kelly@gmail.com> - 2012-07-25 09:21 -0600
                Re: the meaning of rユ.......ï¾ Ian Kelly <ian.g.kelly@gmail.com> - 2012-07-24 10:36 -0600
                Re: the meaning of rユ.......ï¾ Chris Angelico <rosuav@gmail.com> - 2012-07-25 02:42 +1000
                Re: the meaning of rユ.......ï¾ Ethan Furman <ethan@stoneleaf.us> - 2012-07-24 09:59 -0700
                Re: the meaning of rユ.......ï¾ Devin Jeanpierre <jeanpierreda@gmail.com> - 2012-07-24 10:02 -0400
                Re: the meaning of rユ.......ï¾ Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2012-07-23 17:10 +0000
                Re: the meaning of rユ.......ï¾ rusi <rustompmody@gmail.com> - 2012-07-23 08:08 -0700
              Re: the meaning of rユ.......ï¾ Jan Riechers <janpeterr@freenet.de> - 2012-07-23 21:29 +0300
            Re: the meaning of rユ.......ï¾ Devin Jeanpierre <jeanpierreda@gmail.com> - 2012-07-23 10:10 -0400
              Re: the meaning of rユ.......ï¾ Henrik Faber <hfaber@invalid.net> - 2012-07-23 16:40 +0200
                Re: the meaning of rユ.......ï¾ Chris Angelico <rosuav@gmail.com> - 2012-07-24 00:53 +1000
                Re: the meaning of rユ.......ï¾ Devin Jeanpierre <jeanpierreda@gmail.com> - 2012-07-23 11:02 -0400
              Re: the meaning of rユ.......ï¾ Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2012-07-23 16:54 +0000
            Re: the meaning of rユ.......ï¾ Chris Angelico <rosuav@gmail.com> - 2012-07-24 00:19 +1000
              Re: the meaning of rユ.......ï¾ Henrik Faber <hfaber@invalid.net> - 2012-07-23 16:42 +0200
                Re: the meaning of rユ.......ï¾ Dennis Lee Bieber <wlfraed@ix.netcom.com> - 2012-07-23 14:10 -0400
            Re: the meaning of rユ.......ï¾ Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2012-07-23 16:53 +0000
        Re: the meaning of r?.......ï¾ MRAB <python@mrabarnett.plus.com> - 2012-07-23 16:46 +0100
        Re: the meaning of rユ.......ï¾ Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2012-07-23 16:33 +0000
          Re: the meaning of rユ.......ï¾ Ross Ridge <rridge@csclub.uwaterloo.ca> - 2012-07-23 14:43 -0400
      Re: the meaning of rユ.......ï¾ Henrik Faber <hfaber@invalid.net> - 2012-07-23 15:26 +0200
      Re: the meaning of r.......ïŸ Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2012-07-23 15:49 +0000
        Re: the meaning of r.......ïŸ Serhiy Storchaka <storchaka@gmail.com> - 2012-07-26 16:34 +0300
      Re: the meaning of rユ.......ï¾ Ross Ridge <rridge@csclub.uwaterloo.ca> - 2012-07-23 12:19 -0400
      Re: the meaning of r?.......?¾ Dennis Lee Bieber <wlfraed@ix.netcom.com> - 2012-07-23 13:44 -0400
  Re: the meaning of r’.......‘ John Roth <johnroth1@gmail.com> - 2012-07-23 17:50 -0700
  Re: the meaning of r’.......‘ John Roth <johnroth1@gmail.com> - 2012-07-23 17:50 -0700

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