The performance of dyad i. is quite good. If size of dictionary is small,
eg thousands of items only. Then a simplistic implementation of 2 arrays, 1
for keys and 1 for values should be good enough.

On Mon, Nov 18, 2019, 7:10 PM Danil Osipchuk <danil.osipc...@gmail.com>
wrote:

> symbols are essentially names optimized for lookup and comparison, as such
> they are useful to implement locales efficiently, if one to build an map
> using those as keys, indeed one gets something resembling K dictionaries
> http://www.math.bas.bg/bantchev/place/k.html :
>
> "Another distinguishing feature of K is the use of dictionaries:
> associative tables whose keys are symbols, i.e., internalized strings. In
> turn, dictionaries are the building material of a hierarchically organized
> global data space called the K-tree"
>
> https://github.com/kevinlawler/kona/wiki/Dictionaries
>
> This is important case of course, but still a restriction. Tables in Lua
> are more fundamental:
>
> "The table type implements associative arrays. An associative array is an
> array that can be indexed not only with numbers, but also with strings or
> any other value of the language, except *nil*. Moreover, tables have no
> fixed size; you can add as many elements as you want to a table
> dynamically. Tables are the main (in fact, the only) data structuring
> mechanism in Lua, and a powerful one. We use tables to represent ordinary
> arrays, symbol tables, sets, records, queues, and other data structures, in
> a simple, uniform, and efficient way. Lua uses tables to represent packages
> as well. When we write io.read, we mean "the read entry from the io
> package". For Lua, that means "index the table io using the string "read"
> as the key".
>
>
>
> пн, 18 нояб. 2019 г. в 13:11, 'Mike Day' via Programming <
> programm...@jsoftware.com>:
>
> > It's a long time since I played with s:  - do J symbols have any
> > relevance to dictionaries/directories?
> >
> > APL/J cousin, K, appears to have the dictionary as pretty central to its
> > data organisation, but maybe
> > that's more akin to J's locales.
> >
> > Neither topic helpful probably relevant here,  but might start a hare!
> >
> > Mike
> >
> > On 18/11/2019 02:49, Henry Rich wrote:
> > > In J I find myself coming back to simple arrays for most data
> structures.
> > >
> > > Trees can be represented as boxes containing subtrees.  That works,
> > > but is usually more trouble than simply managing an array.
> > >
> > > Linked lists are used only for efficiency, and in the cases where that
> > > matters you can easily have a list of indexes to an array of data
> items.
> > >
> > > Stacks are just lists, as Devon said.
> > >
> > > The datatype I really want is a directory object that acts as an
> > > efficient and easy-to-use associative memory.  You put key/values in
> > > and then retrieve a value by presenting its key.  Has anyone written
> > > an addon for that?
> > >
> > > (Note: the primitive 128!:8 (create a hash for a noun) was added to
> > > J9.01 with this in mind)
> > >
> > > Henry Rich
> > >
> > > On 11/17/2019 8:16 PM, 'Bo Jacoby' via Programming wrote:
> > >>   I failed to communicate the links before, but here they are.
> > >> Ordinal fractions are somewhat like infinite-dimensional arrays.
> > >>
> >
> https://www.academia.edu/10031088/ORDINAL_FRACTIONS_-_the_algebra_of_data
> > >>
> > >>
> > >>
> > >> http://www.statemaster.com/encyclopedia/Ordinal-fraction
> > >> Bo.
> > >>
> > >>      Den søndag den 17. november 2019 22.07.28 CET skrev Devon
> > >> McCormick <devon...@gmail.com>:
> > >>     Trees are simple to implement in J -
> > >> https://code.jsoftware.com/wiki/User:Devon_McCormick/Trees - as are
> > >> graphs
> > >> -
> > >>
> >
> https://code.jsoftware.com/wiki/NYCJUG/2009-11-10/BreadthFirstGraphTraversal
> > >>
> > >>   .
> > >> A stack is simple to implement too but I'm not sure why you would
> > >> want to
> > >> as it's simply a vector with very restrictive rules to manipulate it.
> > >> Linked lists make no sense in a language with dynamic arrays for much
> > >> the
> > >> same reason since a linked list is mainly a way of implementing
> dynamic
> > >> arrays but has benefit only in a language which lacks these natively.
> > >>
> > >> On Sun, Nov 17, 2019 at 8:24 AM 'Bo Jacoby' via Programming <
> > >> programm...@jsoftware.com> wrote:
> > >>
> > >>>    ORDINAL FRACTIONS - the algebra of data
> > >>>
> > >>>
> > >>>
> > >>> |
> > >>> |
> > >>> |
> > >>> |  |  |
> > >>>
> > >>>    |
> > >>>
> > >>>    |
> > >>> |
> > >>> |  |
> > >>> ORDINAL FRACTIONS - the algebra of data
> > >>>
> > >>> This paper was submitted to the 10th World Computer Congress, IFIP
> 1986
> > >>> conference, but rejected by the referee....
> > >>>    |
> > >>>
> > >>>    |
> > >>>
> > >>>    |
> > >>>
> > >>>
> > >>>
> > >>>
> > >>>      Den søndag den 17. november 2019 07.12.02 CET skrev Raul Miller
> <
> > >>> rauldmil...@gmail.com>:
> > >>>
> > >>>    Arrays are roughly analogous to computer memory.
> > >>>
> > >>> Put different: I think you are asking the wrong question.
> > >>>
> > >>> (Partially: it's worth thinking about why you pick whichever data
> > >>> structures...)
> > >>>
> > >>> ((It can also sometimes be useful to look on rosettacode for
> > >>> examples of
> > >>> various daya structure handling mechanisms.))
> > >>>
> > >>> Thanks,
> > >>>
> > >>> --
> > >>> Raul
> > >>>
> > >>> On Sat, Nov 16, 2019 at 6:00 PM Jimmy Gauvin <jimmy.gau...@gmail.com
> >
> > >>> wrote:
> > >>>
> > >>>> Hi,
> > >>>>
> > >>>> when dealing with data structures other than arrays such as trees,
> > >>> graphs,
> > >>>> stacks, linked lists what other programming language do you resort
> > >>>> to ?
> > >>>>
> > >>>> Or do stick with J for all endeavours?
> > >>>>
> > >>>>
> > >>>> Jimmy
> > >>>>
> ----------------------------------------------------------------------
> > >>>> For information about J forums see
> > http://www.jsoftware.com/forums.htm
> > >>>>
> > >>>
> ----------------------------------------------------------------------
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> http://www.jsoftware.com/forums.htm
> > >>>
> > >>>
> ----------------------------------------------------------------------
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> http://www.jsoftware.com/forums.htm
> > >>>
> > >>
> > >
> > > ----------------------------------------------------------------------
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> >
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