> Right, J, among several other programming languages, regards 0^0 as 1. > Wolfram Alpha and some programming languages regard 0^0 as undefined:
> https://www.wolframalpha.com/input/?i=0%5E0 On this point (0^0 being undefined), Knuth says in *Two Notes on Notation <https://arxiv.org/PS_cache/math/pdf/9205/9205211v1.pdf>*, But no, no, ten thousand times no! Some authors who say that 0^0 is undefined continue to write polynomials blithely as sigma(i=0,n) a[i] times x ^ i. On Sun, Oct 1, 2017 at 8:11 AM, Jose Mario Quintana < jose.mario.quint...@gmail.com> wrote: > " > (0&^) d. _1 gives a domain error. Possibly this is unwanted, I mean, it > could be considered as a constant since 0^x = 1 in usual understanding, but > Wolfram Alpha also has issues with this: > https://www.wolframalpha.com/input/?i=integrate+0%5Ex > " > > Right, J, among several other programming languages, regards 0^0 as 1. > Wolfram Alpha and some programming languages regard 0^0 as undefined: > > https://www.wolframalpha.com/input/?i=0%5E0 > > > > On Sun, Oct 1, 2017 at 10:42 AM, 'Jon Hough' via Source < > sou...@jsoftware.com> wrote: > > > I have made a couple of minor edits and added some comments, and J > syntax: > > https://github.com/jonghough/jsource/blob/master/jsrc/cd.c LINES 281 - > > 301 > > > > A couple of points. > > > > (0&^) d. _1 gives a domain error. Possibly this is unwanted, I mean, it > > could be considered as a constant since 0^x = 1 in usual understanding, > but > > Wolfram Alpha also has issues with this: > > https://www.wolframalpha.com/input/?i=integrate+0%5Ex > > > > Negative bases for exponentials give complex results. This is > > mathematically correct, but thought I would mention it anyway. > > e.g. > > (_2&^) d. _1 > > %&0.693147180559945286j3.14159265358979312@(_2&^) NB. correct > > see: https://www.wolframalpha.com/input/?i=integrate+(-2)%5Ex > > > > Compare this to current J, where > > (_2&^) d. _1 > > gives a domain error. > > -------------------------------------------- > > On Fri, 9/29/17, 'Jon Hough' via Source <sou...@jsoftware.com> wrote: > > > > Subject: Re: [Jsource] d. fix > > To: sou...@jsoftware.com > > Date: Friday, September 29, 2017, 12:15 PM > > > > Sorry Henry, > > > > I somehow missed this email in my > > inbox. > > > > I will get the fixes you need done this > > weekend. > > > > Regards, > > Jon > > > > -------------------------------------------- > > On Mon, 9/25/17, Henry Rich <henryhr...@gmail.com> > > wrote: > > > > Subject: [Jsource] d. fix > > To: "'Jon Hough' via Source" <sou...@jsoftware.com> > > Date: Monday, September 25, 2017, 1:06 > > AM > > > > John, > > > > I finally have my PC back and > > would > > like to get your fix in before > > the next build, which is happening > > any > > day now. However, I have issues > > with it: > > > > 1. Needs commentary. The JE didn't > > have much to begin with & that > > needs > > to improve. So at least put in > > enough > > commentary that a reader can tell > > what you are doing without reading > > the > > C code. I put in an average of > > about one line of comment for each > > line > > of C. As it stands it will me > > more time than I care to spend to > > verify that what you are doing is > > valid. > > > > As part of the commentary, translate > > those long calls [amp(ds(CDIV...] to > > J. > > > > 2. AT(x)==INT is no good, because > > there > > may be flags set in more > > significant bits of the type. Use > > (AT(x)&INT) > > > > When you respond, send me your new > > testcase (gddot, I think) and point > > me to the fix, perhaps by simply > > sending me the new cd.c. > > > > hhr > > > > ---------------------------------------------------------------------- > > 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
