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variable - Using Array Elements as Function Arguments


Suppose I have an array


p = {a,b,c,d}


and a function f that takes a variable number of arguments. I want to evaluate


f[a,b,c,d]

It won't do to type


f[p]

because this returns the array {f[a],f[b],f[c],f[d]} which is not at all the right thing.


How do I get f to accept the elements of p (as opposed to p itself) as arguments?


Edited to add: Per a request in comments, here is a concrete example. Suppose p={2,3,4}. I would like an expression that returns Multinomial[2,3,4], which is to say 1260. It doesn't work to type Multinomial[p], because this gives {Multinomial[2],Multinomial[3],Multinomial[4]}={1,1,1}, which is not at all the same as 1260.



Answer




This is really easy if you understand the internal form of {a,b,c,d}. Let's look at it:


p={a,b,c,d};
FullForm[p]
(* List[a,b,c,d] *)

as you see what you want is not really far away because basically, you only need to replace List with f. This is exactly what Apply (or as operator @@) does:


f @@ p
(* f[a, b, c, d] *)

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