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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 …