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How can I create an one dimensional array (a vector) evaluating a function of two variables? I know how to do it with one variable:

Array[f, n, {a, b}] generates a list using n values from a to b.

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Just Flatten it afterwards. – Szabolcs Feb 19 at 14:09
f @@@ Tuples[{Range[a, b, c], Range[d, e, f]}] might be close to what you're looking for. It is, however, 10% slower than @Szabolcs' suggestion and might use more RAM. – whuber Feb 19 at 21:51

closed as too localized by belisarius, Oleksandr R., Yves Klett, m_goldberg, rm -rf♦ Feb 19 at 21:51

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1 Answer

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You could use something akin to:

{ Array[f, {2, 2}, {a, b}, Sequence] }

(* {f[a, b], f[a, 1 + b], f[1 + a, b], f[1 + a, 1 + b]} *)

But I am not sure that this will be any more efficient that Flatten.

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It very likely won't be because Flatten just needs to walk the expression tree once (actually just change the metadata about dimensions for packed arrays), while each Sequence needs to be flattened out step by step. But it's an interesting solution. – Szabolcs Feb 19 at 16:05

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