Right, and my guess is that his paper and "IEEE support" were largely
responsible for J's result for 0%0. However, as Erling's message perhaps
implied, there could be at least another choice; John Randall once questioned
the relevance of maintaining the IEEE support [0]. It is all academic
though, I cannot imagine J dumping "IEEE support" anytime soon.
[0] [Jgeneral] zero
http://www.jsoftware.com/pipermail/general/2007-April/029821.html
On Mon, Jan 15, 2018 at 3:43 PM, Jimmy Gauvin <[email protected]>
wrote:
> Eugene McDonnell wrote an excellent paper about 0%0:
>
> http://www.jsoftware.com/papers/eem/0div0a.htm
>
> On Mon, Jan 15, 2018 at 1:43 PM, Raul Miller <[email protected]>
> wrote:
>
> > The statement there, "Only one of these explanations is valid" is both
> > unsupported and arguably false:
> >
> > 0 = 0 * 0
> > 0 = 0 * 1
> >
> > This leads into some fairly deep issues in mathematics. It also has to
> > do with the distinction between relations and functions with function
> > domains with inverse functions, and with concepts of equality.
> >
> > Still, in functional contexts, this is also a real problem and it's
> > entirely reasonable for a programming language or mathematical text to
> > standardize on a single result.
> >
> > That said, this subject easily turns into a heated discussion and is
> > probably better suited for the chat forum than for the programming
> > forum.
> >
> > Thanks,
> >
> > --
> > Raul
> >
> >
> > On Mon, Jan 15, 2018 at 12:50 PM, Erling Hellenäs
> > <[email protected]> wrote:
> > > Hi all !
> > >
> > > The question is what should be the result of 0%0 ?
> > > 0%0
> > > 0
> > > https://brilliant.org/wiki/what-is-0-0/
> > >
> > > Cheers,
> > > Erling Hellenäs
> > >
> > >
> > > On 2018-01-15 03:25, Henry Rich wrote:
> > >>
> > >> Just looking into the constants page
> > >> [http://code.jsoftware.com/wiki/Vocabulary/Constants]. In the
> > 'infinity'
> > >> section Martin Kreuzer stuck in a clipping from Euler, 1802, blithely
> > >> explaining why 1%0 = infinity. Oh, those roaring 1800's.
> > >>
> > >> Henry Rich
> > >>
> > >> On 1/14/2018 7:59 PM, More Rice wrote:
> > >>>
> > >>> Thank you Henry.
> > >>>
> > >>> Your new table alone can replace the entire dcons.htm page I’ve been
> > >>> struggling with.
> > >>>
> > >>> I also missed the important fact that, unlike other languages, the
> > >>> specification of the base (left of b) does not change/restrict the
> > range of
> > >>> valid digits (in the right of b) -- 0-9 and a-z are always "valid
> > digits”
> > >>> for any base.
> > >>>
> > >>> Thanks to your detail explanation!
> > >>>
> > >>> Maurice
> > >>>
> > >>>
> > >>>> On Jan 14, 2018, at 4:32 PM, Martin Kreuzer <[email protected]>
> > wrote:
> > >>>>
> > >>>> Henry -
> > >>>> Only following developments from a distance, as I have been ill.
> > >>>> Want to let you know that I appreciate your help ...
> > >>>> -M
> > >>>>
> > >>>> At 2018-01-14 19:34, you wrote:
> > >>>>
> > >>>>> The page http://code.jsoftware.com/wiki/Vocabulary/Constants
> > >>>>> <http://code.jsoftware.com/wiki/Vocabulary/Constants> , though
> > incomplete,
> > >>>>> has much good to say about constants. I just now added a section
> > >>>>> The_Hierarchy_of_Letters with some details.
> > >>>>>
> > >>>>> Henry Rich
> > >>>>>
> > >>>>> On 1/14/2018 1:19 PM, More Rice wrote:
> > >>>>>>
> > >>>>>> Hi, a newbie question
> > >>>>>> I’vee been trying to test my understanding of the following page
> > by
> > >>>>>> combining them in different ways.
> > >>>>>> http://www.jsoftware.com/help/dictionary/dcons.htm
> > >>>>>> <http://www.jsoftware.com/help/dictionary/dcons.htm>
> > >>>>>> It went well except when I try mixing with non-decimal numbers.
> > Like:
> > >>>>>> NB. Tried to do 10*1p0, but p is higher than b in hierarchy;
> > >>>>>> won’t work.
> > >>>>>> NB. But it still have an answer?
> > >>>>>> 16bap0
> > >>>>>> 2960
> > >>>>>> So, questions are:
> > >>>>>> 1. how does it get the value of 2960?
> > >>>>>> 2. Is there a tool to help understand construct like this?
> (similar
> > to
> > >>>>>> dissect, or ;: for example)
> > >>>>>> thank you.
> > >>>>>
> > >>>>>
> > >>>>>> Maurice
> > >>>>>> ------------------------------------------------------------
> > ----------
> > >>>>>> For information about J forums see http://www.jsoftware.com/
> > forums.htm
> > >>>>>
> > >>>>>
> > >>>>> ---
> > >>>>> This email has been checked for viruses by AVG.
> > >>>>> http://www.avg.com
> > >>>>>
> > >>>>> ------------------------------------------------------------
> > ----------
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> > forums.htm
> > >>>>
> > >>>> ------------------------------------------------------------
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> > forums.htm
> > >>>> <http://www.jsoftware.com/forums.htm>
> > >>>
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> ----------
> > >>> For information about J forums see http://www.jsoftware.com/forum
> s.htm
> > >>
> > >>
> > >> ------------------------------------------------------------
> ----------
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> s.htm
> > >
> > >
> > >
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