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Re: evaluate f[{x,y,z}] when f[x,y,z] defined

  • To: mathgroup at smc.vnet.net
  • Subject: [mg103397] Re: evaluate f[{x,y,z}] when f[x,y,z] defined
  • From: Peter Pein <petsie at dordos.net>
  • Date: Sun, 20 Sep 2009 06:21:06 -0400 (EDT)
  • References: <h9283i$lo6$1@smc.vnet.net>

Murray Eisenberg schrieb:
> I ought to know how to do this (simply) but don't, or at least don't 
> recall how...
> 
> Often I have a function of several variables defined, for example:
> 
>    f[x_, y_, z_] := Sqrt[x^2 + y^2 + z^2]
> 
> And I have some list of numbers, e.g.:
> 
>    a = {4, 3, 2};
> 
> How can I evaluate the following...
> 
>    f[a]
> 
> .... without having to make a separate definition such as
> 
>    f[{x_, y_, z_}] := f[x, y,z]
> 
> ?
> 

There are some methods but I prefer the first one (In[3]):

In[1]:= f[x_, y_, z_] := Sqrt[x^2 + y^2 + z^2]
In[2]:= a = {4, 3, 2};

In[3]:= f @@ a
Out[3]= Sqrt[29]

In[4]:= f[Sequence @@ a]
Out[4]= Sqrt[29]

In[5]:= a /. List -> f
Out[5]= Sqrt[29]



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