Numbers with small mantissa widths Marc Nieper-Wißkirchen (27 Aug 2024 08:46 UTC)
Re: Numbers with small mantissa widths Michael Sperber (28 Aug 2024 14:18 UTC)
Re: Numbers with small mantissa widths Marc Nieper-Wißkirchen (28 Aug 2024 08:08 UTC)
Re: Numbers with small mantissa widths Michael Sperber (28 Aug 2024 15:14 UTC)
Re: Numbers with small mantissa widths Will Clinger (28 Aug 2024 15:12 UTC)
Re: Numbers with small mantissa widths Marc Nieper-Wißkirchen (28 Aug 2024 15:27 UTC)
Re: Numbers with small mantissa widths Will Clinger (28 Aug 2024 18:21 UTC)
Re: Numbers with small mantissa widths Marc Nieper-Wißkirchen (28 Aug 2024 21:09 UTC)
Re: Numbers with small mantissa widths Will Clinger (29 Aug 2024 04:45 UTC)
Re: Numbers with small mantissa widths Marc Nieper-Wißkirchen (29 Aug 2024 11:53 UTC)
Re: Numbers with small mantissa widths Will Clinger (29 Aug 2024 15:25 UTC)
Re: Numbers with small mantissa widths Marc Nieper-Wißkirchen (29 Aug 2024 15:57 UTC)
Re: Numbers with small mantissa widths Will Clinger (29 Aug 2024 19:21 UTC)
Re: Numbers with small mantissa widths Marc Nieper-Wißkirchen (31 Aug 2024 20:02 UTC)
Re: Numbers with small mantissa widths Will Clinger (01 Sep 2024 01:43 UTC)
Re: Numbers with small mantissa widths Marc Nieper-Wißkirchen (02 Sep 2024 15:57 UTC)
Re: Numbers with small mantissa widths Will Clinger (02 Sep 2024 23:48 UTC)
Re: Numbers with small mantissa widths Marc Nieper-Wißkirchen (03 Sep 2024 16:45 UTC)
Re: Numbers with small mantissa widths Bradley Lucier (04 Sep 2024 01:30 UTC)
Re: Numbers with small mantissa widths Marc Nieper-Wißkirchen (04 Sep 2024 06:11 UTC)
Re: Numbers with small mantissa widths Marc Nieper-Wißkirchen (04 Sep 2024 14:03 UTC)
Re: Numbers with small mantissa widths Will Clinger (13 Sep 2024 12:49 UTC)
Re: Numbers with small mantissa widths Marc Nieper-Wißkirchen (14 Sep 2024 09:43 UTC)
Re: Numbers with small mantissa widths Will Clinger (13 Sep 2024 12:50 UTC)
Re: Numbers with small mantissa widths Michael Sperber (29 Aug 2024 13:56 UTC)
Re: Numbers with small mantissa widths Marc Nieper-Wißkirchen (29 Aug 2024 11:38 UTC)

Re: Numbers with small mantissa widths Michael Sperber 29 Aug 2024 06:48 UTC

On Wed, Aug 28 2024, "Will Clinger" <xxxxxx@larcenists.org> wrote:

> You appear to be assuming there is some objective "actual meaning
> of x|p".  In my opinion, the purpose and specification of that notation
> has never been defined so well as to create an objectively actual
> meaning.

To provide some historical context, the notation's immediate ancestor is
this paper:

https://www.deinprogramm.de/sperber/papers/numerical-tower.pdf

See section 6.6 "External Representations".

The paper proposes a greater revision of the numerical tower in light of
its inconsistencies and practical problems.  In that context, 0.7|52
denotes an exact (and thus well-specified) number.  Within the greater
debate, some minor suggestions from that paper were adopted for R6RS -
such as the mantissa-width tagged format - but (sadly IMHO) the greater
proposal was not, leading to the imprecisions in the R6RS wording.

--
Regards,
Mike

Dr. Michael Sperber
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