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Re: Testing random

From random832@fastmail.us
Subject Re: Testing random
Date 2015-06-07 21:57 -0400
References (11 earlier) <44804165.jDZYAAtjtx@PointedEars.de> <mailman.276.1433709682.13271.python-list@python.org> <1506818.lbhLiAFkUt@PointedEars.de> <1433727278.3822814.289289041.222E2077@webmail.messagingengine.com> <CAPTjJmqzEeTefie0gbOv300003FCUsJnqJ0ZxdHKd29LdR4jkg@mail.gmail.com>
Newsgroups comp.lang.python
Message-ID <mailman.287.1433728625.13271.python-list@python.org> (permalink)

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On Sun, Jun 7, 2015, at 21:42, Chris Angelico wrote:
> On Mon, Jun 8, 2015 at 11:34 AM,  <random832@fastmail.us> wrote:
> > In general, as the number of trials increases, the probability of having
> > e.g. at least one of each value never _reaches_ 1, but it gets
> > arbitrarily close.
> 
> And by "arbitrarily close", you mean any of:
> 
> * So close to 1.0 that IEEE double precision is unable to represent it
> * So unlikely that you could perform one trial every nanosecond until
> the heat death of the universe and still not expect to see it
> * Less likely than that two files could accidentally collide on MD5,
> SHA1, SHA256, and file size, simultaneously
> 
> I think all of the above are true of this case, though I have to guess
> about the heat death of the universe.

Well, yes (assuming, as you say, that the heat death of the universe is
a finite time). More precisely, "arbitrarily close" is a mathematical
term which means that for any desired distance from the limit, there is
an input that will cause the result to get closer. It's entirely
possible to select a number of symbols and a number of trials that won't
get you there.

I also think there may have been some confusion with some of us using
"trial" to refer to each individual random number, and some of us at
some times using it to refer to each attempt to generate a sequence of a
given length.

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Thread

Testing random Cecil Westerhof <Cecil@decebal.nl> - 2015-06-07 08:27 +0200
  Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-07 12:40 +0200
    Re: Testing random Chris Angelico <rosuav@gmail.com> - 2015-06-07 21:51 +1000
      Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-07 17:51 +0200
        Re: Testing random Chris Angelico <rosuav@gmail.com> - 2015-06-08 02:25 +1000
          Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-07 18:36 +0200
            Re: Testing random Chris Angelico <rosuav@gmail.com> - 2015-06-08 02:44 +1000
              Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-07 20:23 +0200
                Re: Testing random Chris Angelico <rosuav@gmail.com> - 2015-06-08 04:52 +1000
                Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-07 21:41 +0200
                Re: Testing random Jussi Piitulainen <jpiitula@ling.helsinki.fi> - 2015-06-07 22:08 +0300
                Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-07 21:29 +0200
                Re: Testing random random832@fastmail.us - 2015-06-07 15:44 -0400
                Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-07 22:09 +0200
                Re: Testing random random832@fastmail.us - 2015-06-07 16:41 -0400
                Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-07 22:59 +0200
                Re: Testing random Steven D'Aprano <steve@pearwood.info> - 2015-06-08 11:26 +1000
                Re: Testing random random832@fastmail.us - 2015-06-07 21:34 -0400
                Re: Testing random Chris Angelico <rosuav@gmail.com> - 2015-06-08 11:42 +1000
                Re: Testing random MRAB <python@mrabarnett.plus.com> - 2015-06-08 02:49 +0100
                Re: Testing random random832@fastmail.us - 2015-06-07 21:57 -0400
                Re: Testing random Jussi Piitulainen <jpiitula@ling.helsinki.fi> - 2015-06-08 10:40 +0300
                Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-10 19:03 +0200
                Re: Testing random sohcahtoa82@gmail.com - 2015-06-10 10:52 -0700
                Re: Testing random Jussi Piitulainen <jpiitula@ling.helsinki.fi> - 2015-06-10 23:00 +0300
                Re: Testing random Ian Kelly <ian.g.kelly@gmail.com> - 2015-06-10 12:02 -0600
                Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-12 23:32 +0200
                Re: Testing random alister <alister.nospam.ware@ntlworld.com> - 2015-06-12 21:46 +0000
                Re: Testing random random832@fastmail.us - 2015-06-12 17:52 -0400
                Re: Testing random Ian Kelly <ian.g.kelly@gmail.com> - 2015-06-12 16:00 -0600
                Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-13 00:09 +0200
                Re: Testing random sohcahtoa82@gmail.com - 2015-06-12 15:55 -0700
                Re: Testing random random832@fastmail.us - 2015-06-12 18:57 -0400
                Re: Testing random Mark Lawrence <breamoreboy@yahoo.co.uk> - 2015-06-13 08:53 +0100
                Re: Testing random random832@fastmail.us - 2015-06-10 14:26 -0400
                Re: Testing random Ned Batchelder <ned@nedbatchelder.com> - 2015-06-07 14:21 -0700
                Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-16 21:18 +0200
                Re: Testing random random832@fastmail.us - 2015-06-16 16:23 -0400
                Re: Testing random Ned Batchelder <ned@nedbatchelder.com> - 2015-06-16 13:48 -0700
                Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-16 23:57 +0200
                Re: Testing random sohcahtoa82@gmail.com - 2015-06-16 15:30 -0700
                Re: Testing random Ian Kelly <ian.g.kelly@gmail.com> - 2015-06-16 16:58 -0600
                Re: Testing random Laura Creighton <lac@openend.se> - 2015-06-17 11:28 +0200
                Re: Testing random Ned Batchelder <ned@nedbatchelder.com> - 2015-06-16 16:26 -0700
                Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-17 01:45 +0200
                Re: Testing random sohcahtoa82@gmail.com - 2015-06-16 17:36 -0700
                Re: Testing random Chris Angelico <rosuav@gmail.com> - 2015-06-17 11:01 +1000
                Re: Testing random Ethan Furman <ethan@stoneleaf.us> - 2015-06-16 18:32 -0700
                Re: Testing random Mark Lawrence <breamoreboy@yahoo.co.uk> - 2015-06-17 09:41 +0100
                Re: Testing random Grant Edwards <invalid@invalid.invalid> - 2015-06-17 14:04 +0000
                Re: Testing random Ian Kelly <ian.g.kelly@gmail.com> - 2015-06-17 09:01 -0600
                Re: Testing random MRAB <python@mrabarnett.plus.com> - 2015-06-17 01:42 +0100
                Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-17 08:53 +0200
                Re: Testing random Christian Gollwitzer <auriocus@gmx.de> - 2015-06-17 09:22 +0200
                Re: Testing random Chris Angelico <rosuav@gmail.com> - 2015-06-17 17:28 +1000
                Re: Testing random Tim Golden <mail@timgolden.me.uk> - 2015-06-17 08:30 +0100
                Re: Testing random Cecil Westerhof <Cecil@decebal.nl> - 2015-06-17 11:57 +0200
                Re: Testing random Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-06-17 01:36 +0000
                Re: Testing random Laura Creighton <lac@openend.se> - 2015-06-17 12:33 +0200
                Re: Testing random Steven D'Aprano <steve@pearwood.info> - 2015-06-17 22:47 +1000
                Re: Testing random Laura Creighton <lac@openend.se> - 2015-06-17 15:50 +0200
                Re: Testing random Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-06-17 01:35 +0000
                Re: Testing random Jussi Piitulainen <jpiitula@ling.helsinki.fi> - 2015-06-17 07:41 +0300
                Re: Testing random Steven D'Aprano <steve@pearwood.info> - 2015-06-08 11:11 +1000
            Re: Testing random Ian Kelly <ian.g.kelly@gmail.com> - 2015-06-07 11:07 -0600
            Re: Testing random Chris Angelico <rosuav@gmail.com> - 2015-06-08 03:20 +1000
            Re: Testing random "C.D. Reimer" <chris@cdreimer.com> - 2015-06-07 10:36 -0700
            Re: Testing random Steven D'Aprano <steve@pearwood.info> - 2015-06-08 04:28 +1000
              Re: Testing random Chris Angelico <rosuav@gmail.com> - 2015-06-08 04:40 +1000
        Re: Testing random Steven D'Aprano <steve@pearwood.info> - 2015-06-08 04:24 +1000
  Re: Testing random Jonas Wielicki <jonas@wielicki.name> - 2015-06-07 12:41 +0200
  Re: Testing random Steven D'Aprano <steve@pearwood.info> - 2015-06-07 22:52 +1000
    Re: Testing random Steven D'Aprano <steve@pearwood.info> - 2015-06-07 23:06 +1000
    Re: Testing random Peter Otten <__peter__@web.de> - 2015-06-07 15:35 +0200
      Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-07 18:36 +0200
        Re: Testing random Peter Otten <__peter__@web.de> - 2015-06-07 18:48 +0200
          Re: Testing random Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-06-07 22:15 +0200
      Re: Testing random Steven D'Aprano <steve@pearwood.info> - 2015-06-08 11:35 +1000
  Re: Testing random Christian Gollwitzer <auriocus@gmx.de> - 2015-06-07 14:53 +0200
  Re: Testing random Dennis Lee Bieber <wlfraed@ix.netcom.com> - 2015-06-07 11:04 -0400

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