From mboxrd@z Thu Jan 1 00:00:00 1970 Return-Path: Received: from lists.gentoo.org (pigeon.gentoo.org [208.92.234.80]) by finch.gentoo.org (Postfix) with ESMTP id CE533138BAF for ; Sun, 2 Nov 2014 19:55:54 +0000 (UTC) Received: from pigeon.gentoo.org (localhost [127.0.0.1]) by pigeon.gentoo.org (Postfix) with SMTP id 6D86CE08FC; Sun, 2 Nov 2014 19:55:46 +0000 (UTC) Received: from mail-wi0-f174.google.com (mail-wi0-f174.google.com [209.85.212.174]) (using TLSv1 with cipher ECDHE-RSA-RC4-SHA (128/128 bits)) (No client certificate requested) by pigeon.gentoo.org (Postfix) with ESMTPS id 1EE31E084D for ; Sun, 2 Nov 2014 19:55:44 +0000 (UTC) Received: by mail-wi0-f174.google.com with SMTP id d1so4923386wiv.13 for ; Sun, 02 Nov 2014 11:55:43 -0800 (PST) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20120113; h=message-id:date:from:user-agent:mime-version:to:subject:references :in-reply-to:content-type:content-transfer-encoding; bh=bqm+Fngl1XX5rPUzfpXmYa63kf0hzcdRDXD3WjXGm8c=; b=Qw/XQslQBIE8/YZvBBHmUMl+N96J/5+iifgEiv9fErIF5lu3pc4crVV43ISiz8QAh3 WGlN3pvwe3E0nECRqToJXA7t2Wjq+75JwwdF3MZex3UPM/PKl4uYuAkJkA0VcdVCneLS 3lTYh7T7Y+XmFSvwZFQQFu8LByWILFpmRu26InGHJ4P3oAiwzAs34ZpB75R/6hqOZEtk N4k5OQMxuP/VrwxJYm/EhtqubPmQXdP7E6lU+y1hxJrtIUaJk1eOX+Ut4s35+XWqKtYj s8DzbKsg4TRM8vgugqjcEJ+MJ5KAnlIfj/OO62+qSdGtbuLsySGAhApkav5LaSgGokX7 kKeQ== X-Received: by 10.180.90.237 with SMTP id bz13mr11660574wib.50.1414958143693; Sun, 02 Nov 2014 11:55:43 -0800 (PST) Received: from [172.20.0.41] (105-237-183-246.access.mtnbusiness.co.za. [105.237.183.246]) by mx.google.com with ESMTPSA id r6sm6283862wif.0.2014.11.02.11.55.42 for (version=TLSv1.2 cipher=ECDHE-RSA-AES128-GCM-SHA256 bits=128/128); Sun, 02 Nov 2014 11:55:43 -0800 (PST) Message-ID: <54568C33.7070105@gmail.com> Date: Sun, 02 Nov 2014 21:55:31 +0200 From: Alan McKinnon User-Agent: Mozilla/5.0 (X11; Linux x86_64; rv:31.0) Gecko/20100101 Thunderbird/31.2.0 Precedence: bulk List-Post: List-Help: List-Unsubscribe: List-Subscribe: List-Id: Gentoo Linux mail X-BeenThere: gentoo-user@lists.gentoo.org Reply-to: gentoo-user@lists.gentoo.org MIME-Version: 1.0 To: gentoo-user@lists.gentoo.org Subject: Re: [gentoo-user] Re: OT Best way to compress files with digits References: <20141031153659.GA13217@solfire> <20141101175934.GB3860@solfire> <545546D3.3030005@gmail.com> <54555725.30108@ntlworld.com> In-Reply-To: <54555725.30108@ntlworld.com> Content-Type: text/plain; charset=windows-1252 Content-Transfer-Encoding: 7bit X-Archives-Salt: 928bc62a-51c8-4249-8b1d-2fcbdd4bd14a X-Archives-Hash: c90134b8715e8f7eed6c5c7b8e9076b4 On 01/11/2014 23:56, David W Noon wrote: >> The sequence of digits that make up pi are a random sequence - you >> > can analyze the order any way you want and you'll find no inherent >> > pattern. > Actually, the sequence of digits is most definitely *not* random. If > the sequence of digits is written any other way then the value is not > Pi. Hence the sequence is unique, not random. > > I think what you are grasping for is that the frequency of distinct > digits tends to be uniform: 0's occur as often as 1's as often ... as > 9's. Note that the "as often as" operator is really approximate for > finite sub-sequences, but is asymptotically accurate. > > Moreover, this is the same in any number base: the binary > representation has 0's occurring as often as 1's; the ternary > representation has 0's occurring as often as 1' and as often as 2's; > etc., etc. > > Such numbers are called "normal". It was a poor choice of name, but > we are stuck with it. I would have called them "digit soup" numbers > -- an oblique reference to alphabet soup. > You grasp correctly what I was saying :-) I'm not formally trained in mathematics so I often get the terminology wrong or just don't know the accepted words for a concept. Lucky for me though, English is a heavily overloaded language and there's always more than one way to communicate something -- Alan McKinnon alan.mckinnon@gmail.com