Making the result of INTEGRATE into a function

--- Robert Dodier  wrote:

> On 8/10/05, Billinghurst, David (CALCRTS) wrote:
> 
> > (%i2)
> g(x,y):=''(integrate(integrate(f(x,y),x),y));
> 
> In case it's not clear, there are two single quotes
> there,
> not a double quote. The '' tells Maxima to give the
> following
> expression an extra evaluation.

I had tried something like this, only I did not know
you needed to enclose the expression on the right in
parentheses.

F(x,y) := ''integrate(integrate(f(x,y),x),y);(%o5)
F(x,y):=INTEGRATE(INTEGRATE(f(x,y),x),y)(%i6)
F(1,1);Attempt to integrate wrt a number: 1#0:
F(x=1,y=1) -- an error.  Quitting.  To debug this try
DEBUGMODE(TRUE);

Now that I look at the reference manual again, I see
that there is a difference:

''(F(X)) means evaluate the expression F(X) an extra
time. ''F(X) means return the verb form of F applied
to [X].

Although I must confess I have no idea what "return
the verb for of F applied to [X]" means.  As near as I
can tell, the following two commands return the same
result:

F(x,y) := ''integrate(integrate(f(x,y),x),y);

F(x,y) := integrate(integrate(f(x,y),x),y);

Maybe someone could explain the difference in detail
in a newbie manual. :-)

Thank you, David and Robert.

Dan


		
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