In the monadic case, there aren't many choices regarding function composition:
u@v y ←→ u v y u&v y ←→ u v y But in the dyadic case, some very different choices are possible: x u@v y ←→ u (x v y) x u&v y ←→ (v x) u (v y) So which one of these @ or &, should be named "of" or "on" or "after"? That's one of Iverson's key contributions, compositions involving dyadic functions. On Mon, May 6, 2019 at 5:42 AM Henry Rich <[email protected]> wrote: > Wikipedia (from Function Composition): > > /g/ ∘ /f/is read as "/g/circle/f/", "/g/round/f/", "/g/about/f/", > "/g/composed with/f/", "/g/after/f/", "/g/following/f/", "/g/of/f/", or > "/g/on/f/". > > I would say 'on', but I don't think that's much better than the others, > including 'atop'. Maybe 'after' would be easiest for newcomers. > > Henry Rich > > > On 5/6/2019 8:38 AM, Brian Schott wrote: > > Piet, > > I cannot answer your question, but I do not like "atop" either. > > To me the rewording would be as follows, though: (your line first, my > line > > second) notice the missing "of". > > 'It seems more natural to say (u@v y) is "u of v of y” rather than 'u > > atop v of y.”' > > 'It seems more natural to say (u@v y) is "u of v y” rather than 'u > > atop v of y.”' > > ---------------------------------------------------------------------- > > For information about J forums see http://www.jsoftware.com/forums.htm > > > > --- > This email has been checked for viruses by AVG. > https://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
