Re: Re: [Maxima] Making the result of INTEGRATE into a function

Hi dan

This is an example.
(%i2) F(f,x,y):=block([s],s:''integrate(integrate(f(t,u),t),u),ev(s,[t:x,u:y]));
(%i53) ff(x,y):=sin(x)*sin(y)$
(%i54) F(ff,1,2);
(%o54) COS(1)*COS(2)
(%i55) F(ff,x,y);
(%o55) COS(x)*COS(y)
(%i56) F('lambda([x,y],x+y),x,y);
(%o56) x*y^2/2+x^2*y/2
(%i57) F('lambda([x,y],x+y),1,2);
(%o57) 3
I think it is not so bad.

gosei furuya

> 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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