Around two millennia ago some people were counting from zero [0, 1]. How
do we know? From glyphs carved in stones and painted on 3 (or perhaps 4)
books known which did not reach Fahrenheit 451 [2].
Apparently, they did not get confused when one cycle ended and the next one
started as opposed to having two celebrations [3].
:)
[0 ({}) ] The Maya Calendar System
https://maya.nmai.si.edu/sites/default/files/resources/The%20Maya%20Calendar%20System.pdf
[1 ({0}) ] Mayan Mathematics
http://storyofmathematics.com/mayan.html
[2 ({0, 1} ] Background
https://en.wikipedia.org/wiki/Maya_codices#Background
[3 ({0, 1, 2})] When Did the 21st Century Start?
https://www.timeanddate.com/counters/mil2000.html
On Thu, May 17, 2018 at 3:48 PM, Don Guinn <dongu...@gmail.com> wrote:
> Perhaps the mistake was for APL to include an index origin of zero. FORTRAN
> has index origin one and so does mathematics. The idea of index origin zero
> came from computer programming as it allows the first element of an array
> to fall at the address. Software convenience. PLI was interesting in that
> it allowed the first element of an array to be DECLAREd as any number.
> Basic cheats. When DIMensioning an array as size N it creates N+1 elements
> with the first element index zero. But if one wants, there is an index N
> element also so one can start from one.
>
> On Thu, May 17, 2018 at 1:35 PM, John Baker <bakerj...@gmail.com> wrote:
>
> > As I recall Carthage was destroyed. Maybe the scourge of index origin 1
> > will follow.
> >
> > Cheers
> >
> > Sent from my iPhone
> >
> > > On May 17, 2018, at 1:23 PM, Roger Hui <rogerhui.can...@gmail.com>
> > wrote:
> > >
> > > If it used alpha and omega then it's not tacit. Tacit means no
> explicit
> > > mention of the function arguments; the term "tacit" was invented in
> 1991
> > > http://www.jsoftware.com/papers/TacitDefn.htm . Tacit definition was
> > first
> > > used APL\360, way back in 1966, as in +/ , but it was not recognized as
> > > tacit. What made tacit fly were forks, first implemented in J in
> version
> > > 0.1. In fact, tacit defn was implemented in J long before explicit
> defn.
> > >
> > >
> > >
> > >> On Thu, May 17, 2018 at 12:14 PM, Don Guinn <dongu...@gmail.com>
> wrote:
> > >>
> > >> Tacit came out first in APL. Used alpha and omega. First time I saw
> +/รท#
> > >> and thought "What is that??" (Sorry. Couldn't find rho.)
> > >>
> > >>> On Thu, May 17, 2018, 11:24 AM David Lambert <b49p23t...@gmail.com>
> > wrote:
> > >>>
> > >>> "APL and J are conceptually similar. That is, one knowing one
> language
> > >> can
> > >>> easily pick up the other. "
> > >>> Verbs and rank thinking are easily transferred. Tacit programming
> was
> > >> new
> > >>> and difficult for me, having used APL, APL2, and a VAX-VMS APL from
> > DEC.
> > >>> .QQ is quote quad, .BX is box, etceteras.
> > >>> ------------------------------------------------------------
> ----------
> > >>> 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
>
----------------------------------------------------------------------
For information about J forums see http://www.jsoftware.com/forums.htm
