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Questions about Mathematica's functional programming style, including the use of pure functions (Function[], #, &) and functions such as Map, Apply, Nest, and Through.
32
votes
2
answers
2k
views
What is the difference between Composition (@*) and sequential applications (@)?
What is the difference between
f@*g@*h@x
and
f@g@h@x
Both evaluate to
f[g[h[x]]]
If they're the same, why introduce Composition as a new feature?
2
votes
3
answers
289
views
How can I get from a list of characters representing a permutation to graphics showing the c...
I am trying to graphically represent cycles in various permutations of the alphabet, and have a question in two parts.
I have
cycles[r_] := Identity @@ PermutationCycles@
(FirstPosition[Character …