I tried reinstalling Maxima from the Windows installer and still get the error.
Maxima 5.18.1 http://maxima.sourceforge.net
Using Lisp GNU Common Lisp (GCL) GCL 2.6.8 (aka GCL)
Distributed under the GNU Public License. See the file COPYING.
Dedicated to the memory of William Schelter.
The function bug_report() provides bug reporting information.
(%i1) integrate(1/(x^2+1)*exp(-%i*%pi*x*t),x,minf,inf);
Is t positive, negative, or zero?
p;
(%o1) %pi*%e^(-%pi*t)
(%i2) integrate(1/(x^2+1)*exp(-2*%i*%pi*x*t),x,minf,inf);
Is t positive, negative, or zero?
p;
(%o2) %pi*%e^(- 2*%pi*t)
(%i3) integrate(%*exp(2*%i*%pi*x*t),t,minf,inf);
Maxima encountered a Lisp error:
Unhandled kernel in tvar-lim
Automatically continuing.
To reenable the Lisp debugger set *debugger-hook* to nil.
(%i4) build_info();
Maxima version: 5.18.1
Maxima build date: 20:57 4/19/2009
host type: i686-pc-mingw32
lisp-implementation-type: GNU Common Lisp (GCL)
lisp-implementation-version: GCL 2.6.8
(%o4)
(%i5)
I think you should get the original function back, maybe after some complex to real manipulations. This is the Fourier Transform
and the inverse Fourier Transform and this function is square integrable where f(x) := 1/(x^2+1). . Unless I am doing something
wrong.
Rich
----- Original Message -----
From: "Richard Hennessy" <rich.hennessy at verizon.net>
To: "Dieter Kaiser" <drdieterkaiser at web.de>
Cc: <maxima at math.utexas.edu>
Sent: Friday, May 22, 2009 2:14 PM
Subject: Re: [Maxima] Seems like a bug in integrate
This is what I get with no packages opened and a blank maxima-init file. The buid_info() is in the output line %o3. I am using
Windows XP. I think I may try reinstalling.
Maxima 5.18.1 http://maxima.sourceforge.net
Using Lisp GNU Common Lisp (GCL) GCL 2.6.8 (aka GCL)
Distributed under the GNU Public License. See the file COPYING.
Dedicated to the memory of William Schelter.
The function bug_report() provides bug reporting information.
(%i1) integrate(1/(x^2+1)*exp(-%i*%pi*x*t),x,minf,inf);
Is t positive, negative, or zero?
p;
- %pi t
(%o1) %pi %e
(%i2) integrate(%*exp(%i*%pi*x*t),x,minf,inf);
- %pi t
%e (limit sin(%pi t x))
x -> minf+
(%o2) %pi (- -----------------------------------
%pi t
- %pi t
%e (limit sin(%pi t x))
x -> inf-
+ ---------------------------------- + %i
%pi t
- %pi t - %pi t
%e (limit cos(%pi t x)) %e (limit cos(%pi t x))
x -> minf+ x -> inf-
(----------------------------------- - ----------------------------------))
%pi t %pi t
(%i3) build_info();
Maxima version: 5.18.1
Maxima build date: 20:57 4/19/2009
host type: i686-pc-mingw32
lisp-implementation-type: GNU Common Lisp (GCL)
lisp-implementation-version: GCL 2.6.8
(%o3)
(%i4) integrate(1/(x^2+1)*exp(-2*%i*%pi*x*t),x,minf,inf);
Is t positive, negative, or zero?
p;
- 2 %pi t
(%o4) %pi %e
(%i5) integrate(%*exp(2*%i*%pi*x*t),t,minf,inf);
Maxima encountered a Lisp error:
Unhandled kernel in tvar-lim
Automatically continuing.
To reenable the Lisp debugger set *debugger-hook* to nil.
(%i6)
Rich
----- Original Message -----
From: "Dieter Kaiser" <drdieterkaiser at web.de>
To: "Richard Hennessy" <rich.hennessy at verizon.net>
Cc: <maxima at math.utexas.edu>
Sent: Friday, May 22, 2009 1:59 PM
Subject: Re: [Maxima] Seems like a bug in integrate
Am Freitag, den 22.05.2009, 13:10 -0400 schrieb Richard Hennessy:
> (in 5) integrate(1/(x^2+1)*exp(-%i*%pi*x*t),x,minf,inf);
> Is t positive, negative, or zero?
>
> p;
> -
> %pi t
> (out5) %pi %e
> (in 6) integrate(%*exp(%i*%pi*x*t),t,minf,inf);
>
> Maxima encountered a Lisp error:
>
> Unhandled kernel in tvar-lim
>
> Automatically continuing.
> To reenable the Lisp debugger set *debugger-hook* to nil.
> (in 7)
Hello Richard,
what version of Maxima your are using?
Your example works for me. I am using Maxima 5.18post.
(%i4) integrate(1/(x^2+1)*exp(-%i*%pi*x*t),x,minf,inf);
Is t positive, negative, or zero?
p;
(%o4) %pi*%e^-(%pi*t)
(%i5) integrate(%*exp(%i*%pi*x*t),t);
(%o5) %pi*%e^(%i*%pi*t*x-%pi*t)/(%i*%pi*x-%pi)
I have not checked if the result is correct.
Dieter Kaiser
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