Re: Constructing Expressions from List Elements

• To: mathgroup at smc.vnet.net
• Subject: [mg2153] Re: [mg2143] Constructing Expressions from List Elements
• From: Lou Talman <me at talmanl.mscd.edu>
• Date: Tue, 10 Oct 1995 02:37:01 -0400

```In[1]:=
q = ##&
Out[1]=
##1 &
In[2]:=
limits = {{x, 0, 1}, {y, -Infinity, Infinity}, {z, 0, 1}}
Out[3]=
{{x, 0, 1}, {y, -Infinity, Infinity}, {z, 0, 1}}
In[4]:=
Integrate[f[x, y, z], Apply[q, limits]]
Out[5]=
Integrate[f[x, y, z], {x, 0, 1}, {y, -Infinity, Infinity}, {z, 0, 1}]

--Lou Talman

Begin forwarded message:

Date: Wed, 4 Oct 1995 01:58:13 -0400
From: brianb at dendrite.cs.colorado.edu (Brian Bonnlander)
Subject: [mg2143] Constructing Expressions from List Elements
To: mathgroup at smc.vnet.net

I have a list of integration limits that I would like to incorporate into
an NIntegrate[] expression.  I don't know the proper syntax for
accomplishing
this.

For example, I would like to integrate f[x,y,z] where the integration
limits
are contained in a list *limits*, expressed perhaps as
limits = {{x, 0, 1}, {y, -Infinity, Infinity}, {z, 0, 1}}.

The statement I would like to construct is

NIntegrate[f[x,y,z], {x, 0, 1}, {y, -Infinity, Infinity}, {z, 0, 1}] .

How do I remove the outer list braces for *limits* so that I can construct
this statement?