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 > >>>>> > >>>>> ------------------------------------------------------------ > ---------- > >>>>> For information about J forums see http://www.jsoftware.com/ > forums.htm > >>>> > >>>> ------------------------------------------------------------ > ---------- > >>>> For information about J forums see http://www.jsoftware.com/ > forums.htm > >>>> <http://www.jsoftware.com/forums.htm> > >>> > >>> ---------------------------------------------------------------------- > >>> For information about J forums see http://www.jsoftware.com/forums.htm > >> > >> > >> ---------------------------------------------------------------------- > >> For information about J forums see http://www.jsoftware.com/forums.htm > > > > > > > > ---------------------------------------------------------------------- > > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
