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Groups > comp.lang.c++ > #81309
| From | Bart <bc@freeuk.com> |
|---|---|
| Newsgroups | comp.lang.c++ |
| Subject | Re: rational numbers |
| Date | 2021-09-18 11:01 +0100 |
| Organization | A noiseless patient Spider |
| Message-ID | <si4df7$aog$1@dont-email.me> (permalink) |
| References | (3 earlier) <si08gc$sc9$1@dont-email.me> <si1hed$unn$1@gioia.aioe.org> <si1mc4$u4h$1@dont-email.me> <si2ioe$14d1$1@gioia.aioe.org> <si4c47$2ff$1@dont-email.me> |
On 18/09/2021 10:39, David Brown wrote:
> On 17/09/2021 19:19, alessandro volturno wrote:
>>
>>>>> The only advantage what rationals offer above floating-point is that
>>>>> the calculation results are always exact. However, in numeric
>>>>> programming the input data often comes from a physical measurement,
>>>>> meaning that it already contains measurement inaccuracies.
>>
>> Physics is not the only Science out there
>>
>
> You were the one that brought up physics ("I am not a mathematician or a
> physicist"). /All/ sciences - to be worthy of the name "science" -
> involve measurements of real things. Almost always, these are inexact
> measurements, with the exceptions being relatively small whole number
> counts. Rational numbers turn up very rarely in science of any kind.
> Probably the only science in which they /do/ turn up is quantum
> mechanics in physics, and even there we are talking about small and
> specific values (half-integer spin, third or two-third charges on
> quarks, that kind of thing).
>
> Rational arithmetic does not really turn up anywhere outside pure
> mathematics and certain direct applications (such as in cryptography).
So where does big integer arithemetic turn up?
With big integers, I can see that sometimes you want (A/B)*B to result in A.
With integer divide, that might not be the case.
Using floating point divide with finite precision, you can lose
information (and perversely end up with too much useless precision; if I
do (1/3)*3, with 100M digits, I get 100M digits of 0.9999....).
Letting A/B (perhaps with a special divide op) yield a rational type
would work.
In that case, I can see this being of value with i64 and i128 types too,
for the two parts of a rational number.
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rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-16 14:59 +0200
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-16 16:40 +0300
Re: rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-16 18:24 +0200
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-16 17:05 +0000
Re: rational numbers Manfred <noname@add.invalid> - 2021-09-16 19:58 +0200
Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-17 09:21 +0200
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-17 10:34 +0200
Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-17 15:55 +0200
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-17 17:49 +0200
Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-17 18:22 +0200
Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-17 22:07 +1200
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-17 13:32 +0200
Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-18 09:15 +1200
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-17 14:06 +0000
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-16 20:41 +0200
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-16 21:11 +0100
Re: rational numbers Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-16 21:26 +0100
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-16 21:54 +0100
Re: rational numbers "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2021-09-16 23:07 +0200
Re: rational numbers "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2021-09-16 23:27 +0200
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-16 23:12 +0300
Re: rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-17 09:50 +0200
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-17 11:15 +0200
Re: rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-17 19:19 +0200
Re: rational numbers James Kuyper <jameskuyper@alumni.caltech.edu> - 2021-09-17 19:00 -0400
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-18 11:39 +0200
Re: rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-18 11:56 +0200
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-18 11:01 +0100
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-17 05:36 +0000
Re: rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-17 09:55 +0200
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-17 11:16 +0000
Re: rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-17 18:33 +0200
Re: rational numbers Tim Rentsch <tr.17687@z991.linuxsc.com> - 2021-10-06 13:06 -0700
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-17 14:03 +0000
Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-17 17:12 +0200
Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-17 17:16 +0200
Re: rational numbers Manfred <noname@add.invalid> - 2021-09-17 18:59 +0200
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-17 17:13 +0000
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-19 10:17 +0000
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-19 14:07 +0000
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-19 15:58 +0000
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-19 21:53 +0000
Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-18 09:34 +1200
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-18 12:00 +0200
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-18 14:54 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-18 17:36 +0100
Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-18 23:29 +0200
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-19 01:09 +0100
Re: rational numbers red floyd <no.spam.here@its.invalid> - 2021-09-18 23:45 -0700
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-18 22:48 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-19 00:46 +0100
Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-19 08:06 +0200
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-19 10:26 +0100
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-19 10:23 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-19 12:04 +0100
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-19 16:01 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-19 17:39 +0100
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-20 05:25 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-20 10:37 +0100
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-22 04:58 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-22 11:26 +0100
Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-22 23:13 +1200
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-22 13:45 +0100
Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-24 21:37 +1200
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-22 15:29 +0300
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-23 07:26 +0000
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-19 21:54 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-20 00:31 +0100
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-20 08:33 +0200
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-20 16:11 +0100
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-20 18:08 +0200
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-20 18:39 +0100
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-20 19:49 +0200
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-20 19:04 +0100
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-20 21:35 +0200
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-20 21:38 +0100
Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-21 10:28 +1200
Re: rational numbers Bo Persson <bo@bo-persson.se> - 2021-09-21 09:08 +0200
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-21 09:39 +0200
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 11:12 +0100
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-21 15:45 +0300
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 14:37 +0100
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-21 17:09 +0300
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 16:26 +0100
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-21 18:04 +0200
Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-21 11:51 -0700
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-22 11:09 +0200
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-21 15:38 +0000
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-21 15:36 +0000
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-21 15:49 +0000
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-21 16:21 +0000
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-22 09:21 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 17:45 +0100
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-21 17:02 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 18:16 +0100
Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-21 11:53 -0700
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 20:48 +0100
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-21 20:23 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 23:29 +0100
Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-21 13:47 -0700
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-21 20:11 +0300
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 18:33 +0100
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-21 20:43 +0300
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 18:59 +0100
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-21 21:20 +0300
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 20:32 +0100
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-21 20:24 +0000
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-21 18:52 +0000
Re: rational numbers Bo Persson <bo@bo-persson.se> - 2021-09-21 18:34 +0200
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-21 01:16 +0300
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 00:39 +0100
Re: rational numbers Manfred <noname@add.invalid> - 2021-09-22 23:45 +0200
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-22 23:51 +0200
Re: rational numbers Manfred <noname@add.invalid> - 2021-09-23 18:42 +0200
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-23 21:52 +0200
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 00:17 +0100
Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-23 02:03 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 11:18 +0100
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-23 10:26 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 12:21 +0100
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 12:40 +0100
Re: rational numbers Richard Damon <Richard@Damon-Family.org> - 2021-09-23 08:05 -0400
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 15:02 +0100
Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-24 08:48 +1200
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 23:05 +0100
Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-23 23:47 +0000
Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-23 16:56 -0700
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-24 01:58 +0100
Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-24 01:40 +0000
Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-23 19:35 -0700
Re: rational numbers "daniel...@gmail.com" <danielaparker@gmail.com> - 2021-09-24 09:07 -0700
Re: rational numbers "daniel...@gmail.com" <danielaparker@gmail.com> - 2021-09-24 09:21 -0700
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-23 14:58 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 17:02 +0100
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-23 16:21 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 18:31 +0100
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-24 09:12 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-24 12:10 +0100
Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-24 11:23 +0000
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-24 15:19 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-24 17:25 +0100
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-25 09:27 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-25 11:07 +0100
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-25 10:14 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-25 11:53 +0100
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-25 11:23 +0000
Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-25 12:34 +0000
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-25 15:37 +0300
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-25 15:46 +0100
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-25 15:19 +0000
Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-25 17:16 +0000
Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-27 23:51 +0200
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-27 23:41 +0100
Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-23 10:26 +0000
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-23 14:04 +0000
Re: rational numbers Manfred <noname@add.invalid> - 2021-09-23 17:47 +0200
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-23 17:07 +0000
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-23 17:08 +0000
Re: rational numbers Manfred <noname@add.invalid> - 2021-09-23 19:30 +0200
Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-24 10:06 +1200
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-22 05:06 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-22 10:51 +0100
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-22 10:54 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-22 11:59 +0100
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-22 11:04 +0000
Re: rational numbers "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2021-09-22 14:17 +0200
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-22 14:32 +0100
Re: rational numbers "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2021-09-22 16:23 +0200
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-22 15:18 +0300
Re: rational numbers "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2021-09-22 16:16 +0200
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-22 15:15 +0000
Re: rational numbers "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2021-09-22 17:57 +0200
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-22 16:05 +0000
Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-22 14:13 -0700
Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-23 09:01 +0000
Re: rational numbers James Kuyper <jameskuyper@alumni.caltech.edu> - 2021-09-23 12:08 -0400
Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-23 10:55 -0700
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-22 20:46 +0300
Re: rational numbers "daniel...@gmail.com" <danielaparker@gmail.com> - 2021-09-22 14:42 -0700
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-23 09:15 +0300
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-22 14:04 +0000
Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-22 07:18 -0700
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-23 07:31 +0000
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-23 11:05 +0300
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-23 08:28 +0000
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-24 00:51 +0300
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-24 04:37 +0000
Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-24 07:46 +0000
Re: rational numbers "daniel...@gmail.com" <danielaparker@gmail.com> - 2021-09-24 08:59 -0700
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-24 22:49 +0300
Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-25 00:55 +0000
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-24 12:17 +0300
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-27 05:25 +0000
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-27 11:37 +0300
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-28 04:49 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 11:29 +0100
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-24 04:38 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-24 11:15 +0100
Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-24 10:19 +0000
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-27 05:34 +0000
Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-23 14:07 +0000
Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-23 14:50 +0000
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-20 05:20 +0000
Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-24 21:45 +1200
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-25 16:15 +0300
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-27 05:36 +0000
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-27 11:19 +0300
Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-27 21:27 +1300
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-27 15:49 +0300
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-28 04:53 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-28 10:16 +0100
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-29 12:10 +0000
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-29 14:34 +0100
Re: rational numbers Bart <bc@freeuk.com> - 2021-09-29 15:54 +0100
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-28 13:23 +0300
Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-29 10:34 +1300
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-29 12:18 +0300
Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-29 22:46 +1300
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-29 13:07 +0300
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-10-02 22:57 +0300
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-29 12:16 +0000
Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-29 20:15 +0300
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-30 04:46 +0000
Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-19 11:03 +1200
Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-19 10:12 +0000
Re: rational numbers Siri Cruise <chine.bleu@yahoo.com> - 2021-09-23 07:38 -0700
Re: rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-24 09:45 +0200
Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-24 07:50 +0000
Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-24 10:58 +0200
Re: rational numbers Siri Cruise <chine.bleu@yahoo.com> - 2021-09-24 02:48 -0700
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