APL Wiki
FunExamples
John Conways`s "Game of Life"
This dynamic function takes a boolean matrix as argument and return a boolean matrix with the new generation. It is taken from [http://www.dyalog.dk/dfnsdws/n_life.htm Dyalog`s] Website which at the time being (2007-02-09) does not support Unicode. However, you will see APL characters with Internet Explorer but not with any other browser.
life←{↑1 ⍵∨.∧3 4=+/,¯1 0 1∘.⊖¯1 0 1∘.⌽⊂⍵}
Meaning of Life (Hitchhiker`s Guide to the Galaxy)
As you might know, the answer to the ultimate question is 42, according to [http://en.wikipedia.org/wiki/Douglas_adams Douglas Adamss] famous book "[http://en.wikipedia.org/wiki/The_Hitchhiker's_Guide_to_the_Galaxy Hitchhikers Guide to the Galaxy"]. We do not need a supercomputer and millions of years to proof that. Whatever you specify as right argument to this function:
MeaningOfLife←{+.×/⍎⊖⍕⊃¨⊂|⌊-*+○⌈∨.∧/>\</×÷!⌽⍉⍉⌹~⍴⍋⍒,⍟?⍳''≡1↑0⍴∊⍵}...will produce a reasonable answer, regardless which type/lenght/depth/rank it is.