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From: Davide Libenzi <davidel@xmailserver.org>
To: Vojtech Pavlik <vojtech@suse.cz>
Cc: Linus Torvalds <torvalds@osdl.org>,
	Andries Brouwer <aebr@win.tue.nl>,
	Daniel Jacobowitz <dan@debian.org>, Rob Love <rml@ximian.com>,
	<rob@landley.net>, Pascal Schmidt <der.eremit@email.de>,
	Linux Kernel Mailing List <linux-kernel@vger.kernel.org>,
	Greg KH <greg@kroah.com>
Subject: Re: udev and devfs - The final word
Date: Mon, 5 Jan 2004 09:52:45 -0800 (PST)	[thread overview]
Message-ID: <Pine.LNX.4.44.0401050944420.17134-100000@bigblue.dev.mdolabs.com> (raw)
In-Reply-To: <20040105172900.GA359@ucw.cz>

On Mon, 5 Jan 2004, Vojtech Pavlik wrote:

> On Mon, Jan 05, 2004 at 08:13:26AM -0800, Linus Torvalds wrote:
> 
> > But the thing is, some things you simply _cannot_ number. For example, a
> > two-dimensional space is innumerable - you need more than one integer
> > number to look things up.  So is the set of real numbers (but not the set 
> > of fractions), etc etc.
> 
> Two dimensional discrete space (*) is enumerable. Just start at [0,0]
> and assign numbers going around the center in a growing spiral (**).
> That way you assign a number to every point in that space. This is very
> similar to the trick used to demonstrate fractions are enumerable.

Vojtech, a spiral (in the math sense) won't work because whatever 
continuos function you choose for the radius, you are going to skip 
integers when the radius grows (and duplicate them when it's small). Also, 
IIRC, fractions are enumerable because they're a mapping from two 
enumerable spaces (integers): F = F(I1, I2) = I1 / I2.



- Davide




  parent reply	other threads:[~2004-01-05 17:52 UTC|newest]

Thread overview: 169+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
     [not found] <18Cz7-7Ep-7@gated-at.bofh.it>
2003-12-31  3:05 ` udev and devfs - The final word Pascal Schmidt
2003-12-31 19:23   ` Greg KH
2003-12-31 20:19     ` Rob Love
2003-12-31 22:01       ` Nathan Conrad
2003-12-31 22:20         ` Rob Love
2003-12-31 21:45           ` Tommi Virtanen
2003-12-31 23:10             ` Rob Love
2003-12-31 21:52               ` Tommi Virtanen
2004-01-02  0:17                 ` Hollis Blanchard
2004-01-02  0:36                   ` viro
2004-01-03  6:04                   ` Greg KH
2003-12-31 22:55           ` viro
2003-12-31 23:05             ` Rob Love
2003-12-31 23:48             ` Andreas Dilger
2004-01-07 10:15             ` Olaf Hering
2004-01-07 11:18               ` viro
2004-01-07 13:00                 ` Olaf Hering
2004-01-07 13:26                   ` viro
2004-01-07 13:27                     ` Olaf Hering
2004-01-01  0:15       ` Andries Brouwer
2004-01-01  0:31         ` Rob Love
2004-01-01 12:34           ` Rob Landley
2004-01-01 15:22             ` Rob Love
2004-01-01 15:48               ` Andries Brouwer
2004-01-01 15:54                 ` Rob Love
2004-01-02 20:42                   ` Linus Torvalds
2004-01-03  3:00                     ` Andries Brouwer
2004-01-03  4:46                       ` Linus Torvalds
2004-01-03 13:10                         ` Andries Brouwer
2004-01-03 22:27                           ` Linus Torvalds
2004-01-03 23:08                             ` Andries Brouwer
2004-01-04  1:16                               ` Mark Mielke
2004-01-04  1:54                                 ` Valdis.Kletnieks
2004-01-04 18:44                                   ` Mark Mielke
2004-01-04  2:09                               ` Linus Torvalds
2004-01-04  2:49                                 ` Andries Brouwer
2004-01-04  3:04                                   ` Linus Torvalds
2004-01-04  4:36                                     ` Pentium 4 HT SMP Ananda Bhattacharya
2004-01-04  5:55                                       ` Martin J. Bligh
2004-01-04 13:21                                     ` udev and devfs - The final word Andries Brouwer
2004-01-04 21:05                                       ` Linus Torvalds
2004-01-04 22:01                                         ` Andries Brouwer
2004-01-04 22:37                                           ` viro
2004-01-05  1:02                                             ` Mark Mielke
2004-01-05  2:24                                               ` Valdis.Kletnieks
2004-01-05  2:29                                             ` Andries Brouwer
2004-01-05  3:42                                               ` viro
2004-01-04 22:37                                           ` Helge Hafting
2004-01-04 23:35                                           ` Valdis.Kletnieks
2004-01-05  1:43                                             ` Jeremy Maitin-Shepard
2004-01-05  1:47                                               ` st_dev:st_ino (was: Re: udev and devfs - The final word) Mark Mielke
2004-01-05  2:02                                                 ` st_dev:st_ino Jeremy Maitin-Shepard
2004-01-05  3:14                                                   ` st_dev:st_ino viro
2004-01-05  1:58                                               ` udev and devfs - The final word viro
2004-01-05  2:12                                                 ` Jeremy Maitin-Shepard
2004-01-05  2:52                                           ` Linus Torvalds
2004-01-05  3:06                                             ` David Lang
2004-01-05  3:48                                               ` Rob Landley
2004-01-05  4:52                                                 ` Trond Myklebust
2004-01-05  7:03                                                   ` [offtopic] " Rob Landley
2004-01-05 12:07                                                     ` Trond Myklebust
2004-01-05 15:13                                                 ` Mark Mielke
2004-01-05 16:36                                                   ` Andreas Schwab
2004-01-05 22:18                                                     ` Mark Mielke
2004-01-05  3:07                                             ` Daniel Jacobowitz
2004-01-05  3:33                                               ` Linus Torvalds
2004-01-05  3:50                                                 ` viro
2004-01-05  4:02                                                   ` Linus Torvalds
2004-01-05  4:38                                                     ` viro
2004-01-05  4:52                                                       ` Linus Torvalds
2004-01-05  6:11                                                         ` viro
2004-01-05  7:47                                                         ` Greg KH
2004-01-05 11:15                                                           ` Vojtech Pavlik
2004-01-05 20:11                                                             ` Theodore Ts'o
2004-01-05 21:06                                                               ` Vojtech Pavlik
2004-01-05 22:22                                                                 ` Theodore Ts'o
2004-01-06  0:14                                                                 ` Rob Landley
2004-01-06 17:28                                                                   ` [OT] " Disconnect
2004-01-11 22:12                                                         ` Ed L Cashin
2004-01-05  5:26                                                       ` Eric W. Biederman
2004-01-05  7:39                                                       ` Greg KH
2004-01-07  9:57                                                     ` Pavel Machek
2004-01-05 12:27                                                 ` Andries Brouwer
2004-01-05 16:13                                                   ` Linus Torvalds
2004-01-05 17:29                                                     ` Vojtech Pavlik
2004-01-05 17:33                                                       ` Linus Torvalds
2004-01-05 17:52                                                       ` Davide Libenzi [this message]
2004-01-05 18:03                                                         ` Linus Torvalds
2004-01-05 18:09                                                         ` Hugo Mills
2004-01-05 19:10                                                         ` Paul Rolland
2004-01-05 19:52                                                     ` Andries Brouwer
2004-01-05 20:38                                                       ` Linus Torvalds
2004-01-05 22:17                                                         ` Shawn
2004-01-05 22:25                                                           ` Mark Mielke
2004-01-05 23:05                                                             ` Shawn
2004-01-05 23:23                                                               ` Shawn
2004-01-06  0:43                                                               ` Greg KH
2004-01-06  0:53                                                                 ` Shawn
2004-01-05 23:13                                                         ` Andries Brouwer
2004-01-05 23:32                                                           ` Linus Torvalds
2004-01-06  0:59                                                             ` viro
2004-01-06  1:17                                                               ` Linus Torvalds
2004-01-06  4:28                                                                 ` viro
2004-01-06  5:07                                                                   ` Linus Torvalds
2004-01-06  1:06                                                             ` Andries Brouwer
2004-01-06 15:00                                                               ` Mark Mielke
2004-01-06  0:00                                                           ` Greg KH
2004-01-06  1:41                                                             ` Andries Brouwer
2004-01-07 17:14                                                               ` Greg KH
2004-01-06  0:31                                                           ` Rob Landley
2004-01-06  7:14                                                       ` Vojtech Pavlik
2004-01-06  0:36                                                     ` Silly udev script [was Re: udev and devfs - The final word] Greg KH
2004-01-05  7:44                                             ` udev and devfs - The final word James H. Cloos Jr.
2004-01-05  7:45                                               ` Nigel Cunningham
2004-01-05 11:01                                                 ` Robin Rosenberg
2004-01-05 12:39                                                   ` Nigel Cunningham
2004-01-05 14:31                                                     ` IRQ disabled on linux 2.6.1-rc1-mm1 Mainak Mandal _00007001_
2004-01-07 13:39                                                     ` udev and devfs - The final word Robin Rosenberg
2004-01-07 17:16                                                       ` Nigel Cunningham
2004-01-05  9:06                                               ` Valdis.Kletnieks
2004-01-05  4:15                                           ` Peter Chubb
2004-01-05  4:42                                             ` Linus Torvalds
2004-01-03 18:34                         ` Wrapping jiffies [was Re: udev and devfs - The final word] Pavel Machek
2004-01-01 19:43             ` udev and devfs - The final word Kai Henningsen
2004-01-02  7:26               ` Rob Landley
2004-01-04  8:57                 ` Greg KH
2004-01-04  9:43                   ` Rob Landley
2004-01-02  0:17             ` Maciej Zenczykowski
     [not found]               ` <20040102103104.GA28168@mark.mielke.cc>
2004-01-03  6:07                 ` Greg KH
2004-01-03  6:51                   ` Valdis.Kletnieks
2004-01-03 11:57                     ` Ian Kent
2004-01-03 22:08                     ` Greg KH
2004-01-07 10:23             ` Olaf Hering
2004-01-01 23:14           ` Rob
2004-01-02  3:53             ` Tyler Hall
2004-01-01 16:17     ` Pascal Schmidt
2004-01-01 20:03       ` Greg KH
2004-01-08 13:53 "Andrey Borzenkov" 
2004-01-08 15:40 ` Ian Kent
2004-01-08 17:26   ` Diego Calleja
2004-01-08 19:25     ` Andrey Borzenkov
2004-01-08 22:40       ` Alex Goddard
2004-01-09  7:03         ` "Andrey Borzenkov" 
2004-01-08 18:14   ` Alex Goddard
2004-01-08 18:35     ` Alex Goddard
2004-01-08 19:22     ` Andrey Borzenkov
2004-01-09  8:51 ` Helge Hafting
  -- strict thread matches above, loose matches on Subject: below --
2004-01-08 13:05 "Andrey Borzenkov" 
2004-01-06  1:20 Paul Zimmerman
     [not found] <fa.flhsork.uka2hg@ifi.uio.no>
     [not found] ` <fa.hv9hpq7.1l1q9p3@ifi.uio.no>
2004-01-01 19:53   ` walt
2004-01-01 21:53     ` Martin Schlemmer
2004-01-01 16:59 Shaheed
     [not found] <fa.af64864.ugabhg@ifi.uio.no>
     [not found] ` <fa.de7jae9.1jk0pjt@ifi.uio.no>
2003-12-31 22:17   ` walt
2004-01-01  2:03     ` Martin Schlemmer
2004-01-01  2:05       ` Martin Schlemmer
2003-12-31  0:29 Greg KH
2003-12-31  0:53 ` Prakash K. Cheemplavam
2003-12-31 19:17   ` Greg KH
2004-01-02 16:45     ` Shawn
2003-12-31 12:43 ` Paulo Marques
2004-01-01  1:18 ` Helge Hafting
2004-01-03  5:59   ` Greg KH
2004-01-03 15:22     ` Helge Hafting
2004-01-03 21:18       ` viro
2004-01-03 22:11       ` Greg KH
     [not found]     ` <20040103140140.3b848e9f.witukind@nsbm.kicks-ass.org>
2004-01-03 22:16       ` Greg KH
2004-01-03 22:33         ` Christoph Hellwig
2004-01-02 17:54 ` Andreas Jellinghaus
2004-01-02 18:19   ` Shawn

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