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Randy Silvers
05/21/07 4:55pm

For a function with, say, two arguments, that yields one such argument, what is the best way to apply this recursively to a list of such arguments?

e.g., f: X^2 -> X

where X is some space

For example, nummeet[x_List,y_List]:=MapThread[Min[#1, #2]&,{x,y}] produces the meet, which is the coordinate-wide minimum.

nummeet[ {1, 1}, {0 ,2 }] = {0, 1}

One inelegant (and thus likely to result in errors) way to apply nummeet to a sequence of pairs is to nest nummeet functions as

nummeet[nummeet[nummeet[ {a, b}, {c, d}], {e, f}], {g, h}]

Another way is to define the list and then use Do:

xyz = {{a, b}, {c, d}, {e, f}, {g, h}};
Do[If [i = 1, meet = xyz[[i]], meet = nummeet[meet, xyz[[i - 1]]]], {i, 1, Length[xyz]}]

Is there a more elegant method, using Map or MapAt or Apply or Nest or Fold? Each of these will seemingly apply a function to each element of the list; it seems that recursion requires a Do loop.


Subject (listing for 'recursive functions')
Author Date Posted
recursive functions Randy Silvers 05/21/07 4:55pm
Re: recursive functions Peter Pein 05/26/07 9:28pm
Re: Re: recursive functions Randy Silvers 05/28/07 09:57am
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