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Re: Question: Applying a list of funcs to a list of expressions
*To*: mathgroup at smc.vnet.net
*Subject*: [mg2935] Re: [mg2924] Question: Applying a list of funcs to a list of expressions
*From*: Lou Talman <me at talmanl.mscd.edu>
*Date*: Sat, 13 Jan 1996 03:19:56 -0500
The "obsolete" Compose operator, used in conjunction with
Inner does the trick--in spite of the error messages:
In[1]:=
F = {f1, f2, f3}
Out[1]=
{f1, f2, f3}
In[2]:=
X = {x1, x2, x3}
Out[2]=
{x1, x2, x3}
In[3]:=
Inner[Compose, F, X, List]
Compose::obsfn:
Compose is an obsolete function, superseded by
Composition.
Compose::obsfn:
Compose is an obsolete function, superseded by
Composition.
Compose::obsfn:
Compose is an obsolete function, superseded by
Composition.
General::stop:
Further output of Compose::obsfn
will be suppressed during this calculation.
Out[3]=
{f1[x1], f2[x2], f3[x3]}
--Lou Talman
Begin forwarded message:
>From: groskyd at gv.ssi1.com (David Rosky)
>Subject: [mg2924] Question: Applying a list of funcs to a
list of expressions
>Organization: Silicon Systems, Inc.
I would like to specify a list of functions such as:
funcs = {f1, f2, f3}
and a list of values to which the functions will be
applied:
vals = {val1, val2, val3}
I would then like to apply to each function to each
corresponding value
respectively to obtain the following list:
DesiredOutputList = {f1[val1], f2[val2], f3[val3]}
I can do this explicitly by defining the functions in terms
of the
explicit elements of the list such as f1[x_] := x[[1]]^2 and
so on
for the other functions, but I was wondering if there is a
built-in
way to apply a list of functions respectively to the elements
of a list
of values which would be simpler and more efficient. I
looked through
the Mathematica book and nothing obvious popped out at me,
but is seems
like such a simple concept that it must be there somewhere.
Thanks in advance,
--David
------------------ groskyd at gv.ssi1.com ------------------
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