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From: Markus E Leypold <development-2006-8ecbb5cc8aREMOVETHIS@ANDTHATm-e-leypold.de>
Subject: Re: why learn C?
Date: Fri, 13 Apr 2007 02:32:36 +0200
Date: 2007-04-13T02:32:36+02:00	[thread overview]
Message-ID: <a1fy75yuzf.fsf@hod.lan.m-e-leypold.de> (raw)
In-Reply-To: 1176414046.5632.61.camel@localhost.localdomain


Georg Bauhaus <bauhaus@futureapps.de> writes:

> On Thu, 2007-04-12 at 22:33 +0200, Dmitry A. Kazakov wrote:
>>  I can build hardware for floating-point
>> >> numbers with the radix e.
>> > 
>> > Will radix e hardware be digital hardware?
>> 
>> Why not? It is just about representation of numbers in the form
>> 
>> X = sum Xk e**k
>> 
>> That's computable.
>
> Hm. Are you saying that e is computable using digital hardware
> in finite time?

As much as I disklike Dmitry's disgressions in the obscure and
wonderful: But here he is right: A real number representation
  
  (X_n, ... X_0 ..., X_u) means X = sum X_k e**k

has a well defined meaning and those number representations can be
manipulated in finite time by some algorithm (hard or software) that
the operation corresponds to multiplication or addition.

The representations are just a bit long -- but so are those handled by
arbitrary precision libraries like GMP. And of course it tedious to
convert those representations to "normal" floats and most natural
numbers have no (that is no finite representation) in that
system. Fortunately 'e' has a finite representation - '1'.

Regards -- Markus






  parent reply	other threads:[~2007-04-13  0:32 UTC|newest]

Thread overview: 167+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
     [not found] <1172144043.746296.44680@m58g2000cwm.googlegroups.com>
     [not found] ` <slrnetr31o.875.Marc.Boyer@localhost.localdomain>
     [not found]   ` <1172161751.573558.24140@h3g2000cwc.googlegroups.com>
     [not found]     ` <slrnetri6j.875.Marc.Boyer@localhost.localdomain>
     [not found]       ` <546qkhF1tr7dtU1@mid.individual.net>
2007-02-23  8:09         ` why learn C? Marc Boyer
2007-03-20 17:37           ` adaworks
2007-03-21  8:07             ` Maciej Sobczak
2007-03-21 13:39               ` Martin Krischik
2007-03-22  7:54                 ` Maciej Sobczak
2007-03-21 14:10               ` Dmitry A. Kazakov
2007-03-21 17:57                 ` adaworks
2007-03-21 18:48               ` adaworks
2007-03-21 18:39                 ` Georg Bauhaus
2007-03-21 20:09                 ` Dmitry A. Kazakov
2007-03-21 20:25                 ` Use of declare blocks Randy Brukardt
2007-03-21 20:36                   ` Gautier
2007-03-21 20:37                   ` Gautier
2007-03-21 20:43                   ` Niklas Holsti
2007-03-21 21:29                     ` Randy Brukardt
2007-03-22  1:17                       ` Adam Beneschan
2007-03-22  8:34                     ` Dmitry A. Kazakov
2007-03-22  1:06                   ` Adam Beneschan
2007-03-22 17:59                   ` adaworks
2007-03-23  2:35                     ` Randy Brukardt
2007-03-23  5:23                       ` adaworks
2007-03-23  5:15                         ` Randy Brukardt
2007-03-23 10:20                           ` Georg Bauhaus
2007-03-23 18:25                             ` commenting, was " tmoran
2007-03-24  0:32                               ` adaworks
2007-03-24  2:12                                 ` tmoran
2007-03-24  3:19                                   ` Randy Brukardt
2007-03-24  7:36                                     ` tmoran
2007-03-24 15:35                                       ` Simon Wright
2007-03-21 13:29             ` why learn C? Alexander E. Kopilovich
2007-03-30  0:51             ` kevin  cline
2007-03-30  4:09               ` Steve
2007-03-30  4:58                 ` kevin  cline
2007-03-30  7:44                   ` Lutz Donnerhacke
2007-03-30  9:09                     ` Dmitry A. Kazakov
2007-04-02  4:29                       ` kevin  cline
2007-04-02  6:45                         ` adaworks
2007-04-02  7:52                         ` Dmitry A. Kazakov
2007-04-02  8:19                           ` kevin  cline
2007-04-02 12:04                             ` Dmitry A. Kazakov
2007-04-02 23:37                             ` Randy Brukardt
2007-04-03 12:42                               ` Erasing inappropriate operations (was: why learn C?) Ludovic Brenta
2007-04-03 23:44                                 ` Randy Brukardt
2007-04-04  8:34                                   ` Erasing inappropriate operations Ludovic Brenta
2007-04-04 22:00                                     ` Randy Brukardt
2007-04-03  0:16                         ` why learn C? Markus E Leypold
2007-04-04 16:14                           ` jayessay
2007-04-05  7:14                             ` Hyman Rosen
2007-04-05 15:35                               ` jayessay
2007-04-06  2:02                                 ` Hyman Rosen
2007-04-06  5:57                                   ` Ray Blaak
2007-04-06 11:01                                     ` Markus E Leypold
2007-04-07 23:00                                       ` Ray Blaak
2007-04-08 19:41                                         ` jayessay
2007-04-09 14:08                                         ` Markus E Leypold
2007-04-10 15:48                                           ` jayessay
2007-04-08 19:44                                       ` jayessay
2007-04-06 18:05                                     ` jayessay
2007-04-06 22:00                                       ` Hyman Rosen
2007-04-06 23:46                                         ` jayessay
2007-04-06 23:59                                         ` jayessay
2007-04-06 22:16                                     ` Hyman Rosen
2007-04-06 23:52                                       ` jayessay
2007-04-07  0:39                                         ` Ray Blaak
2007-04-06 17:52                                   ` jayessay
2007-03-30  8:29                   ` Markus E Leypold
2007-03-30  8:35                     ` Markus E Leypold
2007-03-30 17:39                   ` adaworks
2007-03-31 14:59                     ` Steve
2007-03-31 15:59                       ` Markus E Leypold
2007-04-01 14:32                         ` Ed Falis
2007-04-02  7:03                         ` adaworks
2007-03-31 15:14                     ` Pascal Obry
2007-04-02  5:27                     ` kevin  cline
2007-04-02  6:04                       ` Harald Korneliussen
2007-04-02  6:33                       ` Shortage on C / C++ experts Martin Krischik
2007-04-02  7:07                       ` why learn C? adaworks
2007-04-02  7:18                         ` kevin  cline
2007-04-02 13:00                       ` adaworks
2007-04-12 15:28                         ` Hyman Rosen
2007-04-12 18:32                           ` Robert A Duff
2007-04-13 15:59                             ` Hyman Rosen
2007-04-14 22:20                               ` Robert A Duff
2007-04-14 22:46                                 ` Randy Brukardt
2007-04-22 18:53                           ` adaworks
2007-04-22 19:50                             ` Gautier
2007-04-03  0:26                       ` Markus E Leypold
2007-04-03  0:34                       ` Markus E Leypold
2007-04-03  2:22                       ` jimmaureenrogers
2007-04-12 15:47                         ` Hyman Rosen
2007-04-12 16:18                           ` Markus E Leypold
2007-04-13 23:18                             ` kevin  cline
2007-04-14  9:38                               ` Georg Bauhaus
2007-04-14 10:57                               ` Markus E Leypold
2007-04-15 15:10                                 ` Simon Wright
2007-04-15 16:05                                   ` Markus E Leypold
2007-04-15  0:59                             ` Hyman Rosen
2007-04-15 15:28                               ` Markus E Leypold
2007-04-12 16:39                           ` Dmitry A. Kazakov
2007-04-12 20:54                             ` Georg Bauhaus
2007-04-12 20:33                               ` Dmitry A. Kazakov
2007-04-12 21:40                                 ` Georg Bauhaus
2007-04-12 20:50                                   ` Dmitry A. Kazakov
2007-04-13  0:32                                   ` Markus E Leypold [this message]
2007-04-14 22:27                                     ` Robert A Duff
2007-04-14  1:20                           ` jimmaureenrogers
2007-04-02  5:03                   ` Brian May
2007-04-02  6:16                     ` kevin  cline
2007-04-03  0:00                       ` Brian May
2007-04-12 15:56                         ` Hyman Rosen
2007-04-12 16:19                           ` Markus E Leypold
2007-04-13 23:42                             ` Georg Bauhaus
2007-04-03  0:13                       ` Markus E Leypold
2007-04-02 11:47                 ` Shortage on C / C++ experts Larry Kilgallen
2007-04-02 12:01                   ` Ludovic Brenta
2007-04-02 12:15                     ` Dmitry A. Kazakov
2007-04-02 18:47                       ` Alexander E. Kopilovich
2007-04-02 20:43                         ` tmoran
2007-03-30  4:52               ` why learn C? jimmaureenrogers
2007-03-30  6:30                 ` Case Crab
2007-03-30  6:37                   ` Gautier
2007-03-30  9:17                   ` Georg Bauhaus
2007-03-31 13:18                     ` Peter C. Chapin
2007-04-01  1:23                       ` Georg Bauhaus
2007-04-01 11:59                         ` Peter C. Chapin
2007-04-02  6:37                       ` kevin  cline
2007-04-02  9:39                         ` Harald Korneliussen
2007-03-30 17:47                   ` adaworks
2007-03-30 19:25                     ` Markus E Leypold
2007-03-30 20:29                     ` Randy Brukardt
2007-03-31  9:52                       ` Dmitry A. Kazakov
2007-04-01  1:35                       ` adaworks
2007-03-31  2:41                   ` jimmaureenrogers
2007-03-31 12:25                     ` not NASA Ada coding standard Stephen Leake
2007-03-31 15:44                       ` Markus E Leypold
2007-04-01 16:22                       ` Simon Clubley
2007-04-02 10:08                         ` Stephen Leake
2007-04-02  7:43                     ` why learn C? kevin  cline
2007-04-02  8:45                       ` Martin Krischik
2007-04-02 10:54                       ` Georg Bauhaus
2007-04-12 16:05                         ` Hyman Rosen
2007-04-12 16:48                           ` Dmitry A. Kazakov
2007-04-12 18:27                           ` Robert A Duff
2007-04-13 16:21                             ` Hyman Rosen
2007-04-12 21:11                           ` Georg Bauhaus
2007-04-13 15:45                             ` Hyman Rosen
2007-04-02  8:13                     ` kevin  cline
2007-04-02 23:54                       ` Randy Brukardt
2007-04-03  2:58                       ` jimmaureenrogers
2007-04-12 16:24                       ` Hyman Rosen
2007-04-12 18:05                         ` Markus E Leypold
2007-04-15  0:55                           ` Hyman Rosen
2007-04-15  7:55                             ` Dmitry A. Kazakov
2007-04-15 15:25                             ` Markus E Leypold
2007-03-31 11:40                 ` Larry Kilgallen
     [not found]                 ` <1175236212.771445.135460@y66g2Organization: LJK Software <c82IfUV$xbi8@eisner.encompasserve.org>
2007-03-31 18:56                   ` adaworks
2007-03-31 20:10                     ` Markus E Leypold
2007-04-01 18:13                       ` tmoran
2007-03-31 19:33                   ` Cesar Rabak
2007-03-31 20:11                     ` Markus E Leypold
2007-03-30  8:16               ` Markus E Leypold
2007-03-30  9:10               ` Georg Bauhaus
2007-03-30 19:16               ` Pascal Obry
2007-04-01 11:41                 ` Martin Krischik
2007-04-01 17:03                   ` Pascal Obry
2007-04-01 18:13                   ` tmoran
2007-04-16  2:09             ` Brian May
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