[sage-support] Jocobi Symbol

2009-07-19 Thread Santanu Sarkar
How Jacobi Symbol (a/N) can be calculate in Sage 4.1

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[sage-support] Re: Jocobi Symbol

2009-07-19 Thread Alex Ghitza

Try

sage: kronecker_symbol(a, N)

with a and N your favourite integers.

Best,
Alex



On Sun, Jul 19, 2009 at 4:28 PM, Santanu
Sarkarsarkar.santanu@gmail.com wrote:
 How Jacobi Symbol (a/N) can be calculate in Sage 4.1

 





-- 
Alex Ghitza -- Lecturer in Mathematics -- The University of Melbourne
-- Australia -- http://www.ms.unimelb.edu.au/~aghitza/

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[sage-support] Re: Jocobi Symbol

2009-07-19 Thread Santanu Sarkar
Thank you.

2009/7/19 Alex Ghitza aghi...@gmail.com


 Try

 sage: kronecker_symbol(a, N)

 with a and N your favourite integers.

 Best,
 Alex



 On Sun, Jul 19, 2009 at 4:28 PM, Santanu
 Sarkarsarkar.santanu@gmail.com wrote:
  How Jacobi Symbol (a/N) can be calculate in Sage 4.1
 
  
 




 --
 Alex Ghitza -- Lecturer in Mathematics -- The University of Melbourne
 -- Australia -- 
 http://www.ms.unimelb.edu.au/~aghitza/http://www.ms.unimelb.edu.au/%7Eaghitza/

 


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[sage-support] Re: Problem with show

2009-07-19 Thread linuxgus


Thank you all for your responses.

Doing soime googling around, I discovered that that openSuSE 11.1 has
the same problem with evince I encountered.  I followed William's
advice above and, before firing up sage (as a normal user), I exported
the SAGE-BROWSER environment variable as /opt/kde3/kdvi  (I have not
upgraded to KDE4 yet).  My example above worked fine now, but plots
did not work.  So, I shut down sage, exported SAGE-BROWSER as '/usr/
bin/firefox', and now Firefox either plots the SAGE plots
directly or, in the case of the example above with the Laplace
transform, prompts me what program to use, I respond with '/opt/kde3/
kdvi', and kdvi displays the formula correctly.

HOWEVER, matplotlib plots show as Line2D(_line1).  For example,

sage: import pylab
sage: import scipy
sage: import scipy.special as special
sage: x=scipy.linspace(0.0r,5.0r)
sage: show(pylab.plot(special.airy(x)[0],color='red'))

This brings up firefox (as per the  SAGE-BROWSER environment variable
above), firefox asks me if it should use kdvi, I reply in the
affirmative, and kdvi pops up a window saying SAGE and Line2D
(_line1) (without the quotes!  In prior versions of sage, I had no
problems displaying matplotlib plots.


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[sage-support] Re: Problem with show

2009-07-19 Thread Jason Grout

linuxgus wrote:
 
 Thank you all for your responses.
 
 Doing soime googling around, I discovered that that openSuSE 11.1 has
 the same problem with evince I encountered.  I followed William's
 advice above and, before firing up sage (as a normal user), I exported
 the SAGE-BROWSER environment variable as /opt/kde3/kdvi  (I have not


What if you set SAGE_BROWSER to kde-open?  That will open different 
programs, based on the format.  I think it's similar to the apple open 
command.

Thanks,

Jason




 upgraded to KDE4 yet).  My example above worked fine now, but plots
 did not work.  So, I shut down sage, exported SAGE-BROWSER as '/usr/
 bin/firefox', and now Firefox either plots the SAGE plots
 directly or, in the case of the example above with the Laplace
 transform, prompts me what program to use, I respond with '/opt/kde3/
 kdvi', and kdvi displays the formula correctly.
 
 HOWEVER, matplotlib plots show as Line2D(_line1).  For example,
 
 sage: import pylab
 sage: import scipy
 sage: import scipy.special as special
 sage: x=scipy.linspace(0.0r,5.0r)
 sage: show(pylab.plot(special.airy(x)[0],color='red'))
 
 This brings up firefox (as per the  SAGE-BROWSER environment variable
 above), firefox asks me if it should use kdvi, I reply in the
 affirmative, and kdvi pops up a window saying SAGE and Line2D
 (_line1) (without the quotes!  In prior versions of sage, I had no
 problems displaying matplotlib plots.
 
 
  
 


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[sage-support] Gnuplot installation problem

2009-07-19 Thread mourad gouicem

Hello,

I'm trying to install the optional package gnuplotpy-1.7.p3, but when
I try to install it by typing ./sage -i gnuplotpy-1.7.p3, I get an
error.
The extraction finished successfully but the installation failed.
Here is the traceback :

Traceback (most recent call
last):
  File setup.py, line 17, in
module
from __init__ import
__version__
  File /home/mourad/Telechargements/sage-3.4.2/spkg/build/
gnuplotpy-1.7.p3/src/__init__.py, line 167, in module
from PlotItems import PlotItem, Func, File, Data, GridData
  File /home/mourad/Telechargements/sage-3.4.2/spkg/build/
gnuplotpy-1.7.p3/src/PlotItems.py, line 88
'with' : lambda self, with: self.set_string_option(
 ^
SyntaxError: invalid syntax
Error installing gnuplotpy.

I'm using sage 3.4.2 upgraded to 4.1.

Thank you.
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[sage-support] Re: how to get sage for ubuntu hardy

2009-07-19 Thread pang

Bruce Cohenwrote:
 I am running sage-4.1-linux-Debian_GNU_Linux_5.0_lenny-i686-Linux on
 Ubuntu 8.04.1, kernel 2.6.24-19-generic.

Thanks for th tip!

I tried it and it failed, but it's probably because I ran it from the
chroot jail that I use to build the custom live dvd. The kernel in the
chroot is the same as the kernel outside, so I guess I'll have to
repeat the process with a hardy machine.

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[sage-support] Re: how to get sage for ubuntu hardy

2009-07-19 Thread pang

Bruce Cohenwrote:
 I am running sage-4.1-linux-Debian_GNU_Linux_5.0_lenny-i686-Linux on
 Ubuntu 8.04.1, kernel 2.6.24-19-generic.

Thanks for th tip!

I tried it and it failed, but it's probably because I ran it from the
chroot jail that I use to build the custom live dvd. The kernel in the
chroot is the same as the kernel outside, so I guess I'll have to
repeat the process with a hardy machine.

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[sage-support] Re: Problem with show

2009-07-19 Thread linuxgus



On Jul 19, 3:42 am, Jason Grout jason-s...@creativetrax.com wrote:


 What if you set SAGE_BROWSER to kde-open?  That will open different
 programs, based on the format.  I think it's similar to the apple open
 command.

I did.  kdvi was ultimately invoked with exactly the same result as
above (displaying text describing the properties of the graphics
object rather than displaying the graphics object itself).  Here is
what diagnostics are output:

unknown program name(27186)/ ClientApp::doIt: Creating ClientApp
kdeinit4: preparing to launch /opt/kde3/bin/kdvi
sage: kbuildsycoca running...
QApplication::notify: Unexpected null receiver


I wonder whether David Joyner (see his response above in this thread)
was running sage 4.1 when he tried my example.  Or maybe or kdvi is
different versions?

Thanks again for everybody's responses.

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[sage-support] Re: Gnuplot installation problem

2009-07-19 Thread MaxTheMouse



On Jul 19, 11:31 am, mourad gouicem gouicem.mou...@gmail.com wrote:
 Hello,

 I'm trying to install the optional package gnuplotpy-1.7.p3, but when
 I try to install it by typing ./sage -i gnuplotpy-1.7.p3, I get an
 error.
 The extraction finished successfully but the installation failed.
 Here is the traceback :

 Traceback (most recent call
 last):
   File setup.py, line 17, in
 module
     from __init__ import
 __version__
   File /home/mourad/Telechargements/sage-3.4.2/spkg/build/
 gnuplotpy-1.7.p3/src/__init__.py, line 167, in module
     from PlotItems import PlotItem, Func, File, Data, GridData
   File /home/mourad/Telechargements/sage-3.4.2/spkg/build/
 gnuplotpy-1.7.p3/src/PlotItems.py, line 88
     'with' : lambda self, with: self.set_string_option(
                              ^
 SyntaxError: invalid syntax
 Error installing gnuplotpy.

 I'm using sage 3.4.2 upgraded to 4.1.

 Thank you.

It appears that the python upgrade to 2.6 broke the package. I think
the new version of gnuplot.py (1.8) might work. You can try to install
the new one directly using the python with Sage. You can get it
directly from http://gnuplot-py.sourceforge.net/.

Adam
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[sage-support] Re: primitive k-th root of unity

2009-07-19 Thread Laurent


 On a similar note, anybody know why I can't get sage to equate e^
 (theta*I) == cos(theta) + I*sin(theta) ?
 


 I don't know. Sage uses Maxima. Does maxima know Euler's formula?

   
I suppose that Sage knows Euler's formula because

sage: var('x')
x
sage: real_part(e^(I*x))
e^(-imag_part(x))*cos(real_part(x))


but :

sage: var('x')
x
sage: assume(imag_part(x)==0)
sage: real_part(e^(I*x))
e^(-imag_part(x))*cos(real_part(x))

seems strange to me.
Does someone know how to make Sage understand that x is real and that 
e^(i*x) = cos(x)+I*sin(x) ??

Good afternoon
Laurent



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[sage-support] Re: Gnuplot installation problem

2009-07-19 Thread MaxTheMouse

Just to add a quick note. I installed gnuplot.py 1.8 and was able to
run the included test.py. You will have to try it on your own code
though.

Adam
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[sage-support] Re: Gnuplot installation problem

2009-07-19 Thread mourad gouicem

Thank you for your answer,

Can you tell me more precisely how do I install it and what do you
mean by You can try to install the new one directly using the python
with Sage?

I've downloaded gnuplot.py (1.8) and installed it by running python
setup.py install, but this command installs the package in the
python2.6 directory of my distribution, and (tell me if i'm wrong)
sage uses a local installation of python.

Can you tell me in which directory must I put the Gnuplot.py?

Thank you

On 19 juil, 18:40, MaxTheMouse maxthemo...@googlemail.com wrote:
 Just to add a quick note. I installed gnuplot.py 1.8 and was able to
 run the included test.py. You will have to try it on your own code
 though.

 Adam
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[sage-support] Re: Gnuplot installation problem

2009-07-19 Thread William Stein

On 7/19/09, mourad gouicem gouicem.mou...@gmail.com wrote:

 Thank you for your answer,

 Can you tell me more precisely how do I install it and what do you
 mean by You can try to install the new one directly using the python
 with Sage?

 I've downloaded gnuplot.py (1.8) and installed it by running python
 setup.py install, but this command installs the package in the
 python2.6 directory of my distribution, and (tell me if i'm wrong)

Just do

sage -python setup.py install


 sage uses a local installation of python.

 Can you tell me in which directory must I put the Gnuplot.py?

 Thank you

 On 19 juil, 18:40, MaxTheMouse maxthemo...@googlemail.com wrote:
 Just to add a quick note. I installed gnuplot.py 1.8 and was able to
 run the included test.py. You will have to try it on your own code
 though.

 Adam
 



-- 
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org

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[sage-support] Re: Gnuplot installation problem

2009-07-19 Thread mourad gouicem

Thank you very much, It works

On 19 juil, 19:37, William Stein wst...@gmail.com wrote:
 On 7/19/09, mourad gouicem gouicem.mou...@gmail.com wrote:



  Thank you for your answer,

  Can you tell me more precisely how do I install it and what do you
  mean by You can try to install the new one directly using the python
  with Sage?

  I've downloaded gnuplot.py (1.8) and installed it by running python
  setup.py install, but this command installs the package in the
  python2.6 directory of my distribution, and (tell me if i'm wrong)

 Just do

 sage -python setup.py install

  sage uses a local installation of python.

  Can you tell me in which directory must I put the Gnuplot.py?

  Thank you

  On 19 juil, 18:40, MaxTheMouse maxthemo...@googlemail.com wrote:
  Just to add a quick note. I installed gnuplot.py 1.8 and was able to
  run the included test.py. You will have to try it on your own code
  though.

  Adam

 --
 William Stein
 Associate Professor of Mathematics
 University of Washingtonhttp://wstein.org
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[sage-support] Re: Problem building Sage 4.1 from source on CENTOS 4.7

2009-07-19 Thread William Stein

2009/7/16 Dr. David Kirkby david.kir...@onetel.net:

 William Stein wrote:

 Install GCC =4.1.x.

  -- William


 Is that a requirement? Someone said yesterday 3.4 was ok.

3.4 used to be OK. The new ratpoints packages that Robert Miller introduced in
Sage-4.x does not build with gcc-3.x, so as of right now, GCC = 4.x
is a requirement.
The right fix is to either change our prereq script, or fix ratpoints
so that it builds
with gcc-3.x again.  If possible, the second option would be much better.

 Somebody tried yesterday to build on OpenSolaris with gcc 3.4.3
 (compiler in /usr/sfw/bin) and it failed due to what I believe is an
 MPIR failure to detect the Sun linker. (The configure script thinks its
 the GNU liner).

 But if Sage needs = 4.1, it should bomb out at an early stage if that
 requirement is not met.

 dave

 




-- 
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org

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[sage-support] Re: Problem with show

2009-07-19 Thread John H Palmieri



On Jul 16, 11:02 pm, linuxgus ka8...@amsat.org wrote:
 Hi all,

 If I DON'T use notebook and type a simple program like,

 sage: t,s=var('t,s')
 sage: show(laplace(exp(-3*t),t))

 an evince window pops up with the error message

 Unable to open document
 File type TeX DVI document (application/x-dvi) is not supported

 prominently displayed.  I guess it is an environment variable issue?
 Should the evince program be invoked?  I am running 64-bit openSuSE
 11.1, with kernel upgraded to 2.6.28.2.  If I only use

 sage: laplace(exp(-3*t),t,s)

 then it works fine; I get the response

 1/(s + 3)

 as I should, but it is in Matlabesque form and I would much prefer
 the textbook type of display.  Of course, I can use notebook, but
 for small stuff, it is hardly worth the trouble.

How about if you try

sage: latex.pdflatex(True)

first?

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[sage-support] Re: Problem with show

2009-07-19 Thread David Joyner

On Sun, Jul 19, 2009 at 11:29 AM, linuxguska8...@amsat.org wrote:



 On Jul 19, 3:42 am, Jason Grout jason-s...@creativetrax.com wrote:


 What if you set SAGE_BROWSER to kde-open?  That will open different
 programs, based on the format.  I think it's similar to the apple open
 command.

 I did.  kdvi was ultimately invoked with exactly the same result as
 above (displaying text describing the properties of the graphics
 object rather than displaying the graphics object itself).  Here is
 what diagnostics are output:

 unknown program name(27186)/ ClientApp::doIt: Creating ClientApp
 kdeinit4: preparing to launch /opt/kde3/bin/kdvi
 sage: kbuildsycoca running...
 QApplication::notify: Unexpected null receiver


 I wonder whether David Joyner (see his response above in this thread)
 was running sage 4.1 when he tried my example.  Or maybe or kdvi is
 different versions?


Yes, I think it was 4.1.rc1. KDE has my desktop but it works fine
for me under gnome as well (I rebooted into gnome and checked).



 Thanks again for everybody's responses.

 


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[sage-support] parallel in sage singular

2009-07-19 Thread john_perry_usm

Hi,

I tried the @parallel decorator with Singular's reduce routine:
basically, I passed a bunch of polynomials in a list. The result took
*much* longer, unlike (say) the examples with factor().

sage: R.x,y = GF(32003)
sage: p = 0
sage: for i in range(100):
: p = p + x^(2*i)*y^i
sage: @parallel()
def reduceme(p, B):
return p.reduce(B)
:
sage: %time _ = list( reduceme([(p, F) for each in range(30)]))
CPU times: user 0.22 s, sys: 0.05 s, total: 0.26 s
Wall time: 0.33 s
sage: %time _ = [ reduceme(p, F) for each in range(30)]
CPU times: user 0.10 s, sys: 0.00 s, total: 0.10 s
Wall time: 0.10 s

The machine I tried this on has 4 cores, so it isn't for a lack of
processors. I've had similar results on other machines.

Is there a technical reason for this (Singular related), or am I doing
something wrong (Sage and/or John Perry related)?

regards
john perry
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[sage-support] Re: numerical eigenforms

2009-07-19 Thread William Stein

2009/7/15 rje rev...@ucsd.edu:

 What is going on here? Does this only work for even weights? rje

 sage: n=numerical_eigenforms(15,3);n.ap(2)
 []



Type

sage: numerical_eigenforms?

and read it.   In particular, the first input is the group and if a
number N is given that it just defaults to Gamma0(N).  So the above is
correctly giving you the eigenvalues for Gamma0(15) and odd weight.

sage: n=numerical_eigenforms(Gamma1(15),3);n.ap(2)
[-5.0 - 1.99021290795e-14*I, -3.0 + 2.40206990184e-13*I, 5.0 +
3.72521051072e-12*I, 1.001 - 4.0*I, 0.9998 + 4.0*I,
-3.0 - 3.86606026001e-12*I, 0.224744871392 - 0.224744871392*I,
0.224744871392 + 0.224744871392*I, -2.22474487139 - 2.22474487139*I,
1.0 - 4.0*I, -3.48610029732e-14 - 2.2360679775*I, -1.0 +
1.43583146453e-14*I, -4.27435864481e-14 + 2.2360679775*I, 1.0 + 4.0*I,
-2.22474487139 + 2.22474487139*I, 1.0 - 1.21528935033e-14*I]


William

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[sage-support] Re: Square root problem

2009-07-19 Thread Utpal Sarkar

isqrt returns the integer part (floor) of a square root.


On Jul 17, 7:33 am, Santanu Sarkar sarkar.santanu@gmail.com
wrote:
 Thank you.

 2009/7/16 Marshall Hampton hampto...@gmail.com





  I'm not quite sure what you want, but for example

  sage: B = sqrt(1000)
  sage: floor(B)
  31

  would give you the integer part (rounded down since its floor).  The
  round() function might be what you want instead (round(B) is 32.0).

  -Marshall Hampton

  On Jul 16, 10:05 am, Santanu Sarkar sarkar.santanu@gmail.com
  wrote:
   Suppose we want to  find just integer part of square root 1000. Say
   B=sqrt(1000). Then how can I use digits function i,e. B.digits() to find
  the
   bits of B.
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[sage-support] Re: Problem with show

2009-07-19 Thread linuxgus



On Jul 19, 2:54 pm, John H Palmieri jhpalmier...@gmail.com wrote:

 How about if you try

 sage: latex.pdflatex(True)

 first?

--I did set latex.pdflatex(True) and set the SAGE_BROWSER environment
variable to kde-open.  This time a PDF reader popped up (as it should)
but the content was still the same!  No actual graph, but rather the
word SAGE and below Line2D(_line1)  (without the quotes) as
before!  It seems to me that Sage passes the an ASCII description of
the PROPERTIES of the object to the PDF or whatever reader instead of
the object itself.

Gus

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