[sage-support] Re: Installing latest sage

[Eric Kangas]

Sage now works on my tablet. It took about 23 hours to compile, and I
had no problems with connecting to the backend of sage on cantor.

On Nov 29, 8:13 am, Dima Pasechnik dimp...@gmail.com wrote:
 Pentium M does MMX, SSE, SSE2. Which is kind of 10 years old. Things have
 moved on a lot, and
 keeps moving, see e.g.http://en.wikipedia.org/wiki/Advanced_Vector_Extensions

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[sage-support] Re: Installing latest sage

[Eric Kangas]

Well for some reason when I am in the sage directory using the
terminal I try calling up sage, and sage - testall this is what I get:

No command 'sage' found, did you mean:
 Command 'osage' from package 'graphviz' (main)
 Command 'save' from package 'atfs' (universe)
 Command 'page' from package 'tcllib' (universe)

However I am able to run Sage in Cantor without any problems. I take
it sage is still building itself as I type this message up, or do you
mean when I run sage -testall?


On Nov 29, 10:23 am, kcrisman kcris...@gmail.com wrote:
 On Nov 29, 12:08 pm, Eric Kangas eric.c.kan...@gmail.com wrote:

  Sage now works on my tablet. It took about 23 hours to compile, and I
  had no problems with connecting to the backend of sage on cantor.

 That's awesome!

 Do you think you could run

 sage -testall

 if you have a few free days to let your tablet just sit?  That could
 be useful.

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[sage-support] Re: Installing latest sage

[Eric Kangas]

The testall function finished earlier then expected. I did have only
one time out error. The error listed:
-
The following tests failed:


sage -t  -force_lib devel/sage/sage/sandpiles/sandpile.py # Time
out
Total time for all tests: 19977.9 seconds
Please see /home/nooniensoong97/.sage//tmp/test.log for the complete
log from this test.
-

Is there a way to fix these time out errors?

On Nov 29, 7:12 pm, kcrisman kcris...@gmail.com wrote:
 On Nov 29, 4:56 pm, Renan Birck Pinheiro renan.ee.u...@gmail.com
 wrote:

  2011/11/29 Eric Kangas eric.c.kan...@gmail.com

   Well for some reason when I am in the sage directory using the
   terminal I try calling up sage, and sage - testall this is what I get:

  Try ./sage -testall (dot, slash, sage, space, -testall) within the sage
  directory

 Sorry, since you got Sage to run, I figured this was obvious - my
 apologies.  Renan and Ivan are both right, of course.

 - kcrisman

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[sage-support] Re: Installing latest sage

[Eric Kangas]

it is interesting I had to compile from source on my tablet, but on my
desktop I didn't have to compile from source just had to install the
package.

On Nov 21, 11:39 pm, William Stein wst...@gmail.com wrote:
 On Mon, Nov 21, 2011 at 3:51 PM, Eric Kangas eric.c.kan...@gmail.com wrote:
  I tried installing sage on my Toshiba Portege M200 tablet. I am using
  ubuntu 10.10. Here is the error message I am receiving:

  **
  WARNING!  This Sage install was built on a machine that supports
  instructions that are not available on this computer.  Sage will
  likely fail with ILLEGAL INSTRUCTION errors! The following processor
  flags were on the build machine but are not on this computer:

  pni

  Emailhttp://groups.google.com/group/sage-supportfor help.
  To remove this warning and make Sage start, just delete
      /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-
  ubuntu_10.04_lts-i686-Linux/local/lib/sage-flags.txt
  **

  Even after deleting the flag the installation fails.

 That's because of exactly what the error message says.

 Your options:

   (1) Build Sage from source, which you get here [1], and install via
 the instructions near the bottom of that page.

   (2) Try forcing a rebuild from source of the atlas and mpir package.
  Sometimes that is enough.

     ./sage -f atlas mpir

 [1]http://sagemath.org/download-source.html

  Here is that
  error message:

  The Sage installation tree may have moved
  (from /home/wstein/build/sage-4.7.2 to /home/nooniensoong97/programs/
  sage-4.7.2-linux-32bit-ubuntu_10.04_lts-i686-Linux).
  Changing various hardcoded paths...
  (Please wait at most a few minutes.)
  DO NOT INTERRUPT THIS.
  Done resetting paths.
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libcsage.so(print_backtrace+0x3b)[0x4f230e]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libcsage.so(sigdie+0x17)[0x4f234e]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libcsage.so(sage_signal_handler+0x1ad)[0x4f1e70]
  [0x751400]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/python2.6/site-packages/sage/rings/
  integer.so(initinteger+0x29aa)[0x813c9a]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libpython2.6.so.1.0(_PyImport_LoadDynamicModule
  +0xb6)[0xa093a6]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libpython2.6.so.1.0(+0xe2f78)[0xa06f78]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libpython2.6.so.1.0(+0xe391f)[0xa0791f]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libpython2.6.so.1.0(+0xe3c1c)[0xa07c1c]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libpython2.6.so.1.0(+0xe4296)[0xa08296]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libpython2.6.so.1.0(PyImport_ImportModuleLevel
  +0x3b)[0xa087cb]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libpython2.6.so.1.0(+0xc7916)[0x9eb916]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libpython2.6.so.1.0(PyCFunction_Call+0x128)
  [0x991c48]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libpython2.6.so.1.0(PyObject_Call+0x5c)[0x94e73c]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libpython2.6.so.1.0(PyObject_CallFunction+0x65)
  [0x951115]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libpython2.6.so.1.0(PyImport_Import+0xb7)
  [0xa088e7]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/python2.6/site-packages/sage/rings/
  complex_double.so(+0xc3e4)[0x57b3e4]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/python2.6/site-packages/sage/rings/
  complex_double.so(initcomplex_double+0x18dc)[0x5878fc]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libpython2.6.so.1.0(_PyImport_LoadDynamicModule
  +0xb6)[0xa093a6]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libpython2.6.so.1.0(+0xe2f78)[0xa06f78]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libpython2.6.so.1.0(+0xe391f)[0xa0791f]
  /home/nooniensoong97/programs/sage-4.7.2-linux-32bit-ubuntu_10.04_lts-
  i686-Linux/local/lib/libpython2.6.so.1.0(+0xe3c1c)[0xa07c1c]
  /home/nooniensoong97

[sage-support] Re: Coupled 2sd ODE

[Eric Kangas]

I have been trying to find examples on how to deal with a coupled 2sd
ode in sage.

On Nov 17, 2:31 am, Jason Grout jason-s...@creativetrax.com wrote:
 On 11/17/11 12:08 AM, Eric Kangas wrote:

  I am new with Sage, and I am working on creating a library. I have
  this coupled 2sd ODE that I have worked with on Mathematica. I have
  looked around for examples for a layout but can't seem to find any.

 What are you asking for?   An example of a library?  What sorts of
 things are you planning on putting in the library?

 Or are you asking how to deal with coupled ODEs?

 Thanks,

 Jason

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[sage-support] Coupled 2sd ODE

[Eric Kangas]

I am new with Sage, and I am working on creating a library. I have
this coupled 2sd ODE that I have worked with on Mathematica. I have
looked around for examples for a layout but can't seem to find any.

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[sage-support] Re: Issues with assigning color values to multiple plots.

[Eric Kangas]

The only issue I have with these lines of code is the inability to
change the plot names on the legend. right now it shows up as Plot 1,
Plot 2, Plot 3, Plot 4. I would like the legend list to show Jerk,
Acceleration, Velocity, and Distance. I have messed with the coding,
but it looks like the %d has to be in the   for the program to work.

On Oct 27, 4:09 pm, Jason Grout jason-s...@creativetrax.com wrote:
 On 10/27/11 6:51 PM, Eric Kangas wrote:

  Hi,

  I am working on a standard plot function for multiple plots. I would
  like to have each plot in a different color to distinguish each
  function, and also able to show a legend with the color, and function.

  Here is what I have right now:

  plot([derivative((f(x), a) for a in [0,1,..3]], (x,0,2*pi), color = ())

 Try something like:

 colors=rainbow(len([0,1,..3]))
 sum(plot(derivative((f(x), a) , (x,0,2*pi), color =
 colors[i],label=Plot %d%i) for i,a in enumerate([0,1,..3]))

 Make each curve an individual plot, and then sum them together.

 Jason

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[sage-support] Issues with assigning color values to multiple plots.

[Eric Kangas]

Hi,

I am working on a standard plot function for multiple plots. I would
like to have each plot in a different color to distinguish each
function, and also able to show a legend with the color, and function.

Here is what I have right now:

plot([derivative((f(x), a) for a in [0,1,..3]], (x,0,2*pi), color = ())

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[sage-support] Re: Issues with assigning color values to multiple plots.

[Eric Kangas]

Well I should be more correct in what I am saying each function is the
derivative of the one function. I tried your program but I get this
error.

Code:
x = var('x')
f = (sin(x))**3+(sin(x))**2+sin(x)+1
colors = rainbow(len([0,1,..3]))
sum(plot(derivative((f, a) , (x,0,2*pi), color = colors[i],label=Plot
%d%i) for i,a in enumerate([0,1,..3]))

Error:

Traceback (most recent call last):
  File stdin, line 1, in module
  File _sage_input_11.py, line 10, in module
exec compile(u'open(___code___.py,w).write(# -*- coding:
utf-8 -*-\\n +
_support_.preparse_worksheet_cell(base64.b64decode(eCA9IHZhcigneCcpCmYgPSAoc2luKHgpKSoqMysoc2luKHgpKSoqMitzaW4oeCkrMQpjb2xvcnMgPSByYWluYm93KGxlbihbMCwxLC4uM10pKQpzdW0ocGxvdChkZXJpdmF0aXZlKChmLCBhKSAsICh4LDAsMipwaSksIGNvbG9yID0gY29sb3JzW2ldLGxhYmVsPSJQbG90ICVkIiVpKSBmb3IgaSxhIGluIGVudW1lcmF0ZShbMCwxLC4uM10pKQ==),globals())
+\\n); execfile(os.path.abspath(___code___.py))
  File , line 1, in module

  File /tmp/tmpchwgnX/___code___.py, line 7

 
^
SyntaxError: invalid syntax

Since it is a syntax error I think it is something simple that I am
over looking.

On Oct 27, 5:09 pm, Jason Grout jason-s...@creativetrax.com wrote:
 On 10/27/11 6:51 PM, Eric Kangas wrote:

  Hi,

  I am working on a standard plot function for multiple plots. I would
  like to have each plot in a different color to distinguish each
  function, and also able to show a legend with the color, and function.

  Here is what I have right now:

  plot([derivative((f(x), a) for a in [0,1,..3]], (x,0,2*pi), color = ())

 Try something like:

 colors=rainbow(len([0,1,..3]))
 sum(plot(derivative((f(x), a) , (x,0,2*pi), color =
 colors[i],label=Plot %d%i) for i,a in enumerate([0,1,..3]))

 Make each curve an individual plot, and then sum them together.

 Jason

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[sage-support] Re: Issues with assigning color values to multiple plots.

[Eric Kangas]

thanks it works

On Oct 27, 6:29 pm, Jason Grout jason-s...@creativetrax.com wrote:
 On 10/27/11 8:25 PM, Eric Kangas wrote:



  Well I should be more correct in what I am saying each function is the
  derivative of the one function. I tried your program but I get this
  error.

  Code:
  x = var('x')
  f = (sin(x))**3+(sin(x))**2+sin(x)+1
  colors = rainbow(len([0,1,..3]))
  sum(plot(derivative((f, a) , (x,0,2*pi), color = colors[i],label=Plot
  %d%i) for i,a in enumerate([0,1,..3]))

  Error:

  Traceback (most recent call last):
     File stdin, line 1, inmodule
     File _sage_input_11.py, line 10, inmodule
       exec compile(u'open(___code___.py,w).write(# -*- coding:
  utf-8 -*-\\n +
  _support_.preparse_worksheet_cell(base64.b64decode(eCA9IHZhcigneCcpCmYgPSAoc2luKHgpKSoqMysoc2luKHgpKSoqMitzaW4oeCkrMQpjb2xvcnMgPSByYWluYm93KGxlbihbMCwxLC4uM10pKQpzdW0ocGxvdChkZXJpdmF0aXZlKChmLCBhKSAsICh4LDAsMipwaSksIGNvbG9yID0gY29sb3JzW2ldLGxhYmVsPSJQbG90ICVkIiVpKSBmb3IgaSxhIGluIGVudW1lcmF0ZShbMCwxLC4uM10pKQ==),globals())
  +\\n); execfile(os.path.abspath(___code___.py))
     File , line 1, inmodule

     File /tmp/tmpchwgnX/___code___.py, line 7

  ^
  SyntaxError: invalid syntax

  Since it is a syntax error I think it is something simple that I am
  over looking.

 If you click just to the left of the syntax error in the notebook,
 you'll see a more descriptive error message that tells where the error
 is.  It looks like the problem is just that there was an extra parentheses:

 sum(plot(derivative(f, a) , (x,0,2*pi), color =
 colors[i],legend_label=Plot %d%i) for i,a in enumerate([0,1,..3]))

 Jason

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[sage-support] Re: Issues with assigning color values to multiple plots.

[Eric Kangas]

still new to sage noticed that most plots had that listed to show the
intervals between the range. Thanks for the info.

On Oct 27, 6:39 pm, leif not.rea...@online.de wrote:
 On 28 Okt., 01:51, Eric Kangas eric.c.kan...@gmail.com wrote:

  plot([derivative((f(x), a) for a in [0,1,..3]], (x,0,2*pi), color = ())

 Just curious:

 Any reason to use [0,1,..3] instead of just [0..3] or even the pure
 Python syntax: range(4) ?

 -leif

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[sage-support] Graphics Array and one function with different constants.

[Eric Kangas]

Hi,

I have one function that I need to plot in an array with different
values for two constants. I would like to only have to repeat the
function once, and go off of a string of different variables to
produce this array. Is that even possible in Sage? Or am I stuck with
repeating the function over and over again for the graphics array?

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[sage-support] Re: Bessel Contour Plot problem

[Eric Kangas]

Well I did use your method but I still get an error.

Code:

r,z = var('r,z')

gro = 1.0
kro = 3.0

def f(r,z): term1 = (1+(bessel_J(0, gro)/bessel_J(2,gro)))*(r/
kro)*(bessel_J(1, r)/bessel_J(1,gro))*cos(z) term2 = -(bessel_J(0,r)/
bessel_J(2, gro))*(r**2/kro**2) return term1 + term2 if t != 0 else
infinity

p = contour_plot(f , (r, 0, 2.5), (z, 0, 4), axes_labels=['$r$','$z
$'], contours = [0.0, 0.2, 0.4, 0.6, 0.8], labels = True, label_inline
= True, label_colors = 'black', label_inline_spacing = 0.01,
fill=False, aspect_ratio=1, legend_label='Polodial')

show(p)

Error:

File , line 1, in module

  File /tmp/tmpra5Mm9/___code___.py, line 8
def f(r,z): term1 = (_sage_const_1 +(bessel_J(_sage_const_0 , gro)/
bessel_J(_sage_const_2 ,gro)))*(r/kro)*(bessel_J(_sage_const_1 , r)/
bessel_J(_sage_const_1 ,gro))*cos(z) term2 = -
(bessel_J(_sage_const_0 ,r)/bessel_J(_sage_const_2 ,
gro))*(r**_sage_const_2 /kro**_sage_const_2 ) return term1 + term2 if
t != _sage_const_0  else infinity
 
^
SyntaxError: invalid syntax

Some sort of syntax error.

Also if I have the terms, and return on separate lines in the
definition then I get this error. Where the system still believes
there is a t term floating around.

Error:

term1 = (1+(bessel_J(0, gro)/bessel_J(2,gro)))*(r/kro)*(bessel_J(1, r)/
bessel_J(1,gro))*cos(z)
  File , line 1, in module

  File /tmp/tmp31dCf5/___code___.py, line 13, in module
p = contour_plot(f , (r, _sage_const_0 , _sage_const_2p5 ), (z,
_sage_const_0 , _sage_const_4 ), axes_labels=['$r$','$z$'], contours =
[_sage_const_0p0 , _sage_const_0p2 , _sage_const_0p4 ,
_sage_const_0p6 , _sage_const_0p8 ], labels = True, label_inline =
True, label_colors = 'black', label_inline_spacing =
_sage_const_0p01 , fill=False, aspect_ratio=_sage_const_1 ,
legend_label='Polodial')
  File /sagenb/sage_install/sage-4.7/local/lib/python2.6/site-
packages/sage/misc/decorators.py, line 381, in wrapper
return func(*args, **kwds)
  File /sagenb/sage_install/sage-4.7/local/lib/python2.6/site-
packages/sage/misc/decorators.py, line 381, in wrapper
return func(*args, **kwds)
  File /sagenb/sage_install/sage-4.7/local/lib/python2.6/site-
packages/sage/misc/decorators.py, line 432, in wrapper
return func(*args, **options)
  File /sagenb/sage_install/sage-4.7/local/lib/python2.6/site-
packages/sage/plot/contour_plot.py, line 475, in contour_plot
for y in xsrange(*ranges[1], include_endpoint=True)]
  File /tmp/tmp31dCf5/___code___.py, line 11, in f
return term1 + term2 if t != _sage_const_0  else infinity
NameError: global name 't' is not defined

On Oct 20, 8:38 pm, D. S. McNeil dsm...@gmail.com wrote:
  def f(y,t): return (1+(bessel_J(0, gro)/bessel_J(2, gro)))*(r/
  kro)*(bessel_J(1, r)/bessel_J(1,gro))*z.cos()-(bessel_J(0,r)/
  bessel_J(2, gro))*(r**2/kro**2) if t != 0 else infinity

 A few things:

 (1) Your arguments to this function are y and t, but inside you use r
 and z.  r and z are still the symbolic values.  That's why the error
 message says Cannot evaluate symbolic expression to a numeric value,
 and that's usually the problem: some variable isn't being assigned a
 number.

 (2) Since z is going to be a float, not a Sage real, z.cos() isn't
 going to work as .cos() isn't a float method.  (Sorry about this; in a
 sense it's an implementation detail there's no way to guess.  Python
 floats are low-level dumb numbers which only have a few methods
 living inside them.)

 (3) The if condition else infinity trick was a workaround for a
 singularity that wasn't being handled too well.  If there isn't one,
 there's no need to worry about it.

 So I'd simply replace your f function with something like

 def f(r,z):
     term1 = (1+(bessel_J(0, gro)/bessel_J(2,
 gro)))*(r/kro)*(bessel_J(1, r)/bessel_J(1,gro))*cos(z)
     term2 = -(bessel_J(0,r)/bessel_J(2, gro))*(r**2/kro**2)
     return term1 + term2

 [possible typos, I didn't check too carefully, but you get the idea]

 Doug

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[sage-support] Re: Bessel Contour Plot problem

[Eric Kangas]

Everything worked once I placed semicolons after each line in the
definition of the function.

On Oct 21, 5:22 pm, D. S. McNeil dsm...@gmail.com wrote:
 Hi!

 I'm not sure what you mean by

  Also if I have the terms, and return on separate lines in the
  definition then I get this error.

 You _have_ to have the different statements on separate lines, like I
 did.  (Unless you use a semicolon to separate the statements, I
 suppose.)  Did you combine them?  It looks like you did but it's hard
 to be sure because sometimes carriage returns are lost during the
 cut-and-paste process.

 Paying attention to the syntax is even more important Python than in
 many other languages because Python is whitespace-sensitive-- if you
 don't use the right indentation, the code might not work.  I think it
 might be useful to read through a Python tutorial if you're more
 familiar with the syntax from other languages.  It won't take too long
 but may clear up some of the confusion.

 As for the NameError:

  Well I did use your method but I still get an error.

 Actually, it doesn't look like you did use my code.  You modified the
 last line to read return term1 + term2 if t != 0 else infinity,
 thereby introducing a variable t which you hadn't defined, which leads
 to the NameError explaining -- reasonably enough -- that you're
 referring to a name 't' which you didn't define.

 Does that make sense?

 Doug

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[sage-support] Re: Bessel Contour Plot problem

[Eric Kangas]

A new issue came up.

program:
r,z = var('r,z')

gro = 1.0
kro = 3.0

def f(y,t): return (1+(bessel_J(0, gro)/bessel_J(2, gro)))*(r/
kro)*(bessel_J(1, r)/bessel_J(1,gro))*z.cos()-(bessel_J(0,r)/
bessel_J(2, gro))*(r**2/kro**2) if t != 0 else infinity

p = contour_plot(f , (r, 0, 2.5), (z, 0, 4), axes_labels=['$gro$','$kro
$'], contours = [0.0, 0.2, 0.4, 0.6, 0.8], labels = True, label_inline
= True, label_colors = 'black', label_inline_spacing = 0.01,
fill=False, aspect_ratio=1, legend_label='polodial')

show(p)

error:
  File , line 1, in module

  File /tmp/tmpYWys8j/___code___.py, line 10, in module
p = contour_plot(f , (r, _sage_const_0 , _sage_const_2p5 ), (z,
_sage_const_0 , _sage_const_4 ), axes_labels=['$gro$','$kro$'],
contours = [_sage_const_0p0 , _sage_const_0p2 , _sage_const_0p4 ,
_sage_const_0p6 , _sage_const_0p8 ], labels = True, label_inline =
True, label_colors = 'black', label_inline_spacing =
_sage_const_0p01 , fill=False, aspect_ratio=_sage_const_1 ,
legend_label='polodial')
  File /sagenb/sage_install/sage-4.7.1/local/lib/python2.6/site-
packages/sage/misc/decorators.py, line 426, in wrapper
return func(*args, **kwds)
  File /sagenb/sage_install/sage-4.7.1/local/lib/python2.6/site-
packages/sage/misc/decorators.py, line 426, in wrapper
return func(*args, **kwds)
  File /sagenb/sage_install/sage-4.7.1/local/lib/python2.6/site-
packages/sage/misc/decorators.py, line 504, in wrapper
return func(*args, **options)
  File /sagenb/sage_install/sage-4.7.1/local/lib/python2.6/site-
packages/sage/plot/contour_plot.py, line 475, in contour_plot
for y in xsrange(*ranges[1], include_endpoint=True)]
  File /tmp/tmpYWys8j/___code___.py, line 8, in f
def f(y,t): return (_sage_const_1 +(bessel_J(_sage_const_0 , gro)/
bessel_J(_sage_const_2 , gro)))*(r/kro)*(bessel_J(_sage_const_1 , r)/
bessel_J(_sage_const_1 ,gro))*z.cos()-(bessel_J(_sage_const_0 ,r)/
bessel_J(_sage_const_2 , gro))*(r**_sage_const_2 /kro**_sage_const_2 )
if t != _sage_const_0  else infinity
  File /sagenb/sage_install/sage-4.7.1/local/lib/python2.6/site-
packages/sage/functions/special.py, line 829, in bessel_J
z = C(z)
  File /sagenb/sage_install/sage-4.7.1/local/lib/python2.6/site-
packages/sage/rings/complex_field.py, line 279, in __call__
return Parent.__call__(self, x)
  File parent.pyx, line 941, in
sage.structure.parent.Parent.__call__ (sage/structure/parent.c:7102)
  File coerce_maps.pyx, line 82, in
sage.structure.coerce_maps.DefaultConvertMap_unique._call_ (sage/
structure/coerce_maps.c:3254)
  File coerce_maps.pyx, line 77, in
sage.structure.coerce_maps.DefaultConvertMap_unique._call_ (sage/
structure/coerce_maps.c:3157)
  File /sagenb/sage_install/sage-4.7.1/local/lib/python2.6/site-
packages/sage/rings/complex_field.py, line 307, in
_element_constructor_
return x._complex_mpfr_field_( self )
  File expression.pyx, line 933, in
sage.symbolic.expression.Expression._complex_mpfr_field_ (sage/
symbolic/expression.cpp:5437)
  File expression.pyx, line 796, in
sage.symbolic.expression.Expression._eval_self (sage/symbolic/
expression.cpp:4898)
TypeError: Cannot evaluate symbolic expression to a numeric value.

On Oct 18, 3:55 pm, Eric Kangas eric.c.kan...@gmail.com wrote:
 thanks that worked.

 On Oct 17, 7:34 pm, kcrisman kcris...@gmail.com wrote:

   SyntaxError: invalid syntax

  You'll need to type the whole part after

  def f(y,t):

  in just one line, and similarly for the whole plot command.  Google
  groups tends to cut off things at a fairly short line length.

  - kcrisman

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[sage-support] Increasing memory limit?

[Eric]

Does anyone know how to enlarge the memory limits set by sage?

I get the following message when running a certain computation that
involves computing large determinants.

Memory limit reached. Please jump to an outer pointer, quit program
and enlarge the
memory limits before executing the program again.

Available restarts:

1. (CONTINUE) Extend heap size

Top level.



By googling and searching the archives of this group I found that I
was supposed to add a  line that reads

maxima._eval_line(:lisp (ext:set-limit 'ext:heap-size 1000),
wait_for_prompt=False)

I have tried this and it has absolutely no effect. I am using the
precompiled sage-4.7.1-linux-32bit-ubuntu_10.04_lts-i686-Linux . As a
workaround it is possible to press :r1 every time this error message
appears and indeed I had to do that twice to get this computation to
finish. The machine it is running on has ample memory and sage was
only using about 6 percent of the available system memory when this
error happened the first time.

Any help appreciated,
Eric

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[sage-support] Bessel Contour Plot problem

[Eric Kangas]

Hi,

I am having issues with plotting contour plots for bessel functions.
Here is one of the lines of codes for a plot:

Sage: y,t = var('y,t')
Sage: contour_plot(lambda y,t: (sqrt(t^2+y^2)/(2*pi*y))*(bessel_J(0,
t ).arccos()), (t, 0, 3), (y, 0, 4), fill = false, axes_labels=['$gro
$','$kro$'], contours = [0.1, 0.2, 0.3, 0.5, 0.7, 1.0, 2.0, 4.0],
fill=False, legend_label='qwall');

This is the error message that I get when processing the code:

The error I get is: File ipython console, line 1 SyntaxError:
keyword argument repeated (ipython console, line 1).

Does it have something to do with assigning the variables?

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[sage-support] Re: Bessel Contour Plot problem

[Eric Kangas]

I still get an error:

p = contour_plot(f, (y, 0, 6), (t, 0, 3), fill = false,
axes_labels=['$gro$','$kro$'], contours = [0.1, 0.2, 0.3, 0.5, 0.7,
1.0, 2.0, 4.0], legend_label='qwall');
  File , line 1, in module

  File /tmp/tmpZLCoKg/___code___.py, line 6
return (sqrt(t**_sage_const_2 +y**_sage_const_2 )/(_sage_const_2
*pi*y))*(bessel_J(_sage_const_0 ,t).arccos()) if y != _sage_const_0
 
^
SyntaxError: invalid syntax

On Oct 17, 5:25 pm, D. S. McNeil dsm...@gmail.com wrote:
  Sage: y,t = var('y,t')
  Sage: contour_plot(lambda y,t: (sqrt(t^2+y^2)/(2*pi*y))*(bessel_J(0,
  t ).arccos()), (t, 0, 3), (y, 0, 4), fill = false, axes_labels=['$gro
  $','$kro$'], contours = [0.1, 0.2, 0.3, 0.5, 0.7, 1.0, 2.0, 4.0],
  fill=False, legend_label='qwall');

  This is the error message that I get when processing the code:

  The error I get is: File ipython console, line 1 SyntaxError:
  keyword argument repeated (ipython console, line 1).

  Does it have something to do with assigning the variables?

 It has to do with the fact you're repeating a keyword argument. :^)
 Note that you write fill=false and then later fill=False.

 Also, be careful: when you use a Python function (lambda or def), you
 can't use the (variable, lower, upper) syntax, you have to give them
 in order.  Proof:

 sage: aa = []
 sage: bb = []
 sage: def f(a,b):
 :         aa.append(a)
 :     bb.append(b)
 :     return a+b
 :
 sage: a,b = var(a b)
 sage: contour_plot(f,(b,2,3),(a,4,5))

 sage:
 sage: min(aa),max(aa)
 (2.0, 3.0)
 sage: min(bb),max(bb)
 (4.0, 5.0)

 And you see that f gets two variables ranging from 2 to 3 and 4 to 5,
 but it doesn't put the a values in a.  (Aside for devs: we could fix
 this using introspection.)

 Finally, I found that I had to manually handle the zero case to avoid
 getting a Symbolic division by zero error:

 
 y,t = var('y,t')

 def f(y,t):
     return (sqrt(t^2+y^2)/(2*pi*y))*(bessel_J(0,t).arccos()) if y != 0
 else infinity

 p = contour_plot(f, (y, 0, 6), (t, 0, 3), fill = false,
 axes_labels=['$gro$','$kro$'], contours = [0.1, 0.2, 0.3, 0.5, 0.7,
 1.0, 2.0, 4.0], legend_label='qwall');
 show(p)
 

 Hope some of that helps!

 Doug

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[sage-support] sagetex: granular builds for large documents

[Eric Drechsel]

Hi Dan, others using sagetex

I'm experimenting with a homework workflow using sagetex. I'd like to
make efficient use of resources, which seems to be a (the?) major
deficiency with sagetex, especially with large documents.

My initial thought was that by placing each problem in an included
file, I could have my build tool generate individual problem_x.sage
and problem_x.sout files only for problems with changes, and keep the
master tex file as a simple list of includes. I see now that that
can't work, however, at least with my limited knowledge of TeX tricks.

So I'm asking the group for ideas. Starters:

 1. Is it possible to have a master document that includes a bunch of
complete subdocuments? If so, one could simply keep the master
document clean of sagetex references, and build each subdocument
separately.
 2. Could sagetex be modified to work on a per-file level?

Thanks,
Eric

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[sage-support] Re: sagetex: granular builds for large documents

[Eric Drechsel]

On Dec 1, 3:30 pm, Dan Drake dr...@kaist.edu wrote:
 Hi Eric,



 On Tue, 01 Dec 2009 at 11:44AM -0800, Eric Drechsel wrote:
  I'm experimenting with a homework workflow using sagetex. I'd like to
  make efficient use of resources, which seems to be a (the?) major
  deficiency with sagetex, especially with large documents.

  My initial thought was that by placing each problem in an included
  file, I could have my build tool generate individual problem_x.sage
  and problem_x.sout files only for problems with changes, and keep the
  master tex file as a simple list of includes. I see now that that
  can't work, however, at least with my limited knowledge of TeX tricks.

  So I'm asking the group for ideas. Starters:

   1. Is it possible to have a master document that includes a bunch of
  complete subdocuments? If so, one could simply keep the master
  document clean of sagetex references, and build each subdocument
  separately.

 My first thought is, if you're talking about using a master document and
 compile times for your homework...you have way too much homework. :)

 I don't know about keeping the master document clean of SageTeX
 references, but by using \include, you can keep things separated, and
 you can even compile only part of the document using \includeonly.

Yes, I found out about \includeonly from [1] shortly after posting,
and I think that's what I'll do in the short term (homework being due
Thursday and all :).

[1] http://web.science.mq.edu.au/~rdale/resources/writingnotes/latexstruct.html


 One thing you can do with SageTeX to make things go faster is to use the
 pause and unpause commands -- \sagetexpause and \sagetexunpause.
 Commands between those two don't get run when you run Sage on the .sage
 file. (SageTeX literally just comments those sections out in the .sage
 file.)

The issue I have with both \sagetexpause and \includeonly is that
they're not automate-able. Subdocuments seem like a good way to
integrate with build tools (since they can have timestamps etc)

 Actually, with the stuff I've done, the most time-consuming part of
 running Sage on the .sage file is simply startup time. Once it starts
 executing the commands, it generally goes really fast, but starting Sage
 takes a while.

Good point! Most documents are probably not so computationally
expensive as the examples file (which has lots of plots). Does sagetex-
remote help with this much, or is there still alot of overhead in
creating a new session on the server?

 I'll think about your per-file ideas, and about some kind of
 \includeonly stuff. Right now, though, it works document-wide.

 What would you like to see? Can you describe some commands or
 functionality that you would find helpful?

Unless you can think of a simple way to add support for generating
separate sage files per tex file (which would also require changing
the way .sout files are included I guess?), it doesn't seem worth the
trouble. I can't begin to read sagetex.sty, so I can't really evaluate
what's a reasonable feature request.

Thanks for your thoughtful response!

Regarding the build tool, I'm using SCons, with which this is my first
experience, and so far I'm liking the flexibility and extensibility
alot. My example project with SConstruct file is here [2]

[2] http://wiki.shared.dre.am/electricity_and_magnetism/probset7/
 Dan

 --
 ---  Dan Drake
 -  http://mathsci.kaist.ac.kr/~drake
 ---

  signature.asc
  1KViewDownload

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[sage-support] Re: sagetex: granular builds for large documents

[Eric Drechsel]

Hi Harald, thanks for the suggestion, I had thought of that too. It
seems like a viable route. Each subdocument ends up on its own set of
pages, but I guess that's the case when using \include too.

-- Eric

On Dec 1, 3:11 pm, Harald Schilly harald.schi...@gmail.com wrote:
 On Dec 1, 8:44 pm, Eric Drechsel ericd...@gmail.com wrote:

   1. Is it possible to have a master document that includes a bunch of
  complete subdocuments?

 The main problem is, that you may happen to define a variable in the
 beginning and modify it later and in the end it is used. Therefore
 there is no mechanism to break this chain apart and everything you
 define lives along a full sage session. I don't know how far Dan's
 ideas are, but there is one immediate hack i can suggest you: Just
 create PDF files for each chapter and then stick them together using a
 PDF-merge tool. I haven't done it yet, but i guess it's simple to
 create one big pdf file merging several pdf documents.

 H

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[sage-support] Re: Line Plots

[Eric Jackson]

To address my dilemma regarding line plots, I read about matplotlib at
http://matplotlib.sourceforge.net/users/transforms_tutorial.html.
This is a library that a user can import into their Sage worksheet to
allow then more flexibility with plots.  When using matplotlib, the
user may have to apply certain backends to achieve visibility of
plots.  The backend the user applies depends solely on where he/she is
using matplotlib interactively from.

A few minutes ago I published a sage worksheet called Line Plot with
Matplotlib.  Cell 1 of this sheet shows a simple plot using a
hardcopy backend to create a PNG file.  This is an item that Jason
Grout helped me with.  Thanks Jason!  Cell 2 (#Their version from
matplotlib documentation) uses pylab instead of pyplot.  The code in
cell 2 was obtained from the matplotlib website.  I could not get this
to work, instead I inserted my own version in cell 3 (#My version),
which produces the same plot that cell 2 would produce had it worked.
If anybody can get cell 2 working, then that would be really cool.

*However, the code in cell 4, is where I really need the help.  The
code in cell 4 is suppose to display the xy data at a certain location
on the line plot.  I have looked at this for a while, but I am
confused as to why it doesn't work.  This code was also taken from the
mathplotlib website.  Any help on this in particular would be neat.
In my spare time, I will continue to work on this.

Thanks,
Eric

On Sep 15, 3:18 pm, Jason Grout jason-s...@creativetrax.com wrote:
 Jason Grout wrote:
  Eric Jackson wrote:
  I'm not thinking of matplotlib html5.  However, I am fairly new to
  working with Sage.  I will do some research to see what matplotlib
  html5 is about.

  It's not finished.  Here is a demo of what gnuplot can do with an html5
  canvas backend:

 http://gnuplot.sourceforge.net/demo_canvas/

  (notice the coordinates at the bottom of the plot).

  Jason

 Here's an example of the matplotlib canvas backend:

 http://dl.getdropbox.com/u/178748/mpl/test.html

 (it doesn't have the coordinate tracking feature implemented, I think).

 Jason

 --
 Jason Grout
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[sage-support] Re: Line Plots

[Eric Jackson]

Thanks, I just figured this out right after I posted.  This should  
have been obvious, I guess I got brain tired.

Thanks again,
Eric
On Sep 23, 2009, at 2:13 PM, Jason Grout wrote:


 Eric Jackson wrote:
 To address my dilemma regarding line plots, I read about matplotlib  
 at
 http://matplotlib.sourceforge.net/users/transforms_tutorial.html.
 This is a library that a user can import into their Sage worksheet to
 allow then more flexibility with plots.  When using matplotlib, the
 user may have to apply certain backends to achieve visibility of
 plots.  The backend the user applies depends solely on where he/she  
 is
 using matplotlib interactively from.

 A few minutes ago I published a sage worksheet called Line Plot with
 Matplotlib.  Cell 1 of this sheet shows a simple plot using a
 hardcopy backend to create a PNG file.  This is an item that Jason
 Grout helped me with.  Thanks Jason!  Cell 2 (#Their version from
 matplotlib documentation) uses pylab instead of pyplot.  The code in
 cell 2 was obtained from the matplotlib website.  I could not get  
 this
 to work, instead I inserted my own version in cell 3 (#My version),
 which produces the same plot that cell 2 would produce had it worked.
 If anybody can get cell 2 working, then that would be really cool.

 You can't use show.  Use savefig, as in:

 savefig('test.png')

 The sage notebook automatically displays any graphic file you generate
 in a cell.  That's why we need to save the figure to a graphics file,
 like test.png.  Then the notebook comes along, sees that the cell
 generated a graphic file, and displays it.



 *However, the code in cell 4, is where I really need the help.  The
 code in cell 4 is suppose to display the xy data at a certain  
 location
 on the line plot.  I have looked at this for a while, but I am
 confused as to why it doesn't work.  This code was also taken from  
 the
 mathplotlib website.  Any help on this in particular would be neat.
 In my spare time, I will continue to work on this.


 Just change the last line to plt.savefig... just like the first  
 cell.
  It's not savefile, it's savefig :).


 Thanks,

 Jason


 


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[sage-support] sagenb.org

[Eric Jackson]

Earlier today I signed up through sagenb.org so that I can publish my
worksheet.  The signing up process was simple, but whenever I try to
login, I receive errors.  I've checked my login information and it is
accurate.  Is there anyone else having problems?

Eric
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[sage-support] Re: sagenb.org

[Eric Jackson]

Thanks William, I input demo.sagenb.org into my google search box and  
came to a website called Symmetric Group (Demo) Sage.  However, how  
can I upload my worksheet, so that others can view it?  Also, for a  
while, I thought the problem of logging in was me, so I created other  
accounts that you can delete.  All of the accounts were created today  
within minutes of one another.  The user names for the accounts that  
you can delete are 19eric, eric19., and eric19.

Thanks,
Eric


On Sep 22, 2009, at 2:10 PM, William Stein wrote:


 On Tue, Sep 22, 2009 at 2:04 PM, Eric Jackson eric...@comcast.net  
 wrote:

 Earlier today I signed up through sagenb.org so that I can publish my
 worksheet.  The signing up process was simple, but whenever I try to
 login, I receive errors.  I've checked my login information and it is
 accurate.  Is there anyone else having problems?

 I just logged in and computed 2+3.  However, I did get two indicators
 that it was slow today (I have a monitor script).  Also, sage is
 getting some discussion on slashdot right now.

 I also just logged in and found that the number of sagenb.org accounts
 went up from about 4000 (last time I checked 1-2 weeks go) to 7381
 right now.

 It looks like 249 accounts were created today, maybe.

 So it's getting hammered.  It's just a dual core virtual machine.

 Here's a hint -- I made some extra secret notebook servers you can
 use:  demo.sagenb.org, demo2.sagenb.org.  That might be helpful.

 Also, I'm actively working on a major rewrite to improve robustness
 and scalability a *lot*.

 William


 Eric





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

 


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[sage-support] GNUPLOT

[Eric Jackson]

Recently, I downloaded the latest testing binary (Version 4.3) of
GNUPLOT on my computer.  I read through the GNUPLOT tutorial on
subjects related to plotting, and I wanted to find information on how
to use GNUPLOT in my Sage Worksheet.  In my Sage Worksheet I input
statements such as, import gnuplot.lib and import gnuplot_lib.  In my
mind, these statements would allow me access to the gnuplot commands
in my Sage Worksheet.  However, this did not work.  Does anybody have
an idea on how I can get this working?


Thanks,
Eric
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[sage-support] Re: Line Plots

[Eric Jackson]

I'm not thinking of matplotlib html5.  However, I am fairly new to
working with Sage.  I will do some research to see what matplotlib
html5 is about.

As far as what I'm doing, I've created a plot of a function, say sin
(t) that is evaluated from  t, -2*pi,2*pi.  As I am viewing the plot,
I would like to move my cursor along the sin(t) curve and in real time
see what the xy coordinates are at various locations on the curve.

Eric

On Sep 14, 9:10 am, Jason Grout jason-s...@creativetrax.com wrote:
 William Stein wrote:
  It will in the near future.

 Are you thinking of the matplotlib html5 canvas backend that is being
 developed?  Or is there something else that you are doing?

 Jason
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[sage-support] expression evaluation with dynamically generated variables

[Eric]

Hello,

I need to be able to evaluate an expression, where the expression is
composed of dynamically generated variables. For example, I might have
a list var_list, a list data_list, and an expression exprssn.
Here
1) var_list is a list of variables, where every element in var_list
was created using sage.calculus.calculus.var
2) data_list is a list of real numbers
3) exprssn is an expression, where every variable comes from var_list

How would I evaluate exprssn when the variable var_list[i] takes the
value data_list[i]? If I try something like exprssn(var_list[i] =
data_list[i]) I get an error.

My current solution involves string generation coupled with eval
statements and is horribly clunky. What is the right way to do this?

Thanks,
Eric

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[sage-support] Re: expression evaluation with dynamically generated variables

[Eric]

Thanks, I think that answered my question!

On Apr 25, 12:35 am, Robert Bradshaw rober...@math.washington.edu
wrote:
 On Apr 24, 2009, at 11:55 PM, Eric wrote:



  Hello,

  I need to be able to evaluate an expression, where the expression is
  composed of dynamically generated variables. For example, I might have
  a list var_list, a list data_list, and an expression exprssn.
  Here
  1) var_list is a list of variables, where every element in var_list
  was created using sage.calculus.calculus.var
  2) data_list is a list of real numbers
  3) exprssn is an expression, where every variable comes from var_list

  How would I evaluate exprssn when the variable var_list[i] takes the
  value data_list[i]? If I try something like exprssn(var_list[i] =
  data_list[i]) I get an error.

  My current solution involves string generation coupled with eval
  statements and is horribly clunky. What is the right way to do this?

 How about this:

 sage: var_list = var('x,y,z')
 sage: data_list = [2,3,5]
 sage: f = x^3 - y*z
 sage: f.subs(dict(zip(var_list, data_list)))
 -7

 The zip command takes two lists, and zips them together. The dict  
 can take a list of 2-tuples as a constructor.

 sage: zip(var_list, data_list)
 [(x, 2), (y, 3), (z, 5)]
 sage: dict(zip(var_list, data_list))
 {y: 3, x: 2, z: 5}

 - Robert
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[sage-support] Re: Sage 3.4 Installation on OS X 10.5 Errors

[Eric Kaufmann]

I didn't set the sage root variable.

I looked through the documentation. Didn't seem to find how to do this. So,
how do you do you set the root variable?

I haven't set up any other variables for Sage. As, far as the details I
copied the sage folder to the clients OSx 10.5. This is a computer lab, but
it is a stock install of the os,

Thanks,

Eric



On Mon, Apr 13, 2009 at 12:01 PM, mabshoff 
michael.absh...@mathematik.uni-dortmund.de wrote:




 On Apr 13, 9:57 am, kaufma kaufmanne...@gmail.com wrote:

 Hi,

  I am updating sage on OSX 10.5 lab machines. I downloaded .dmg file
  then I copied the sage folder over to all of the workstations. I get
  the following message when I try to open Sage.
 
  You must compile sage first using the 'make' , in the sage root
  directory. (If you have already compiled Sage, you must set the
  Sage_Root variable in the file './sage).

 Ok, this message is triggered for the wrong reasons it seems since the
 DMGs are binaries. Did you set SAGE_ROOT or any other env variable
 related to Sage anywhere?

  I did try to run the make command in the root of the sage folder and
  got allot of dependency dropped errors and a error 127.

 That is a bug due to -bdist,  but it is independent of your problem. I
 had known about it for a while, but I made it #5774 yesterday since I
 finally tracked down the problem.

  Any ideas would be appreciated.

 Describing some more details of your setup would help.

  Thanks,
 
  Eric Kaufmann

 Cheers,

 Michael
 


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[sage-support] Re: Sage 3.4 Installation on OS X 10.5 Errors

[Eric Kaufmann]

Binary did work before I copied it. A version of sage was already installed
on the systems. When I copied it over the older version of sage was deleted
first. This worked w/o any issues on the first test machine I did this on.

Is there any documentation on how to set the variables.

Regards,

Eric

On Mon, Apr 13, 2009 at 12:09 PM, mabshoff 
michael.absh...@mathematik.uni-dortmund.de wrote:




 On Apr 13, 10:06 am, Eric Kaufmann kaufmanne...@gmail.com wrote:
  I didn't set the sage root variable.

 Ok.

  I looked through the documentation. Didn't seem to find how to do this.
 So,
  how do you do you set the root variable?
 
  I haven't set up any other variables for Sage. As, far as the details I
  copied the sage folder to the clients OSx 10.5. This is a computer lab,
 but
  it is a stock install of the os,

 How did you copy it? Does the binary work before you copy it?

  Thanks,
 
  Eric

 Cheers,

 Michael
 


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[sage-support] Re: Sage 3.4 Installation on OS X 10.5 Errors

[Eric Kaufmann]

I did the install the same as on the test machine.

I copied this with Apple Remote desktop.

Eric

On Mon, Apr 13, 2009 at 12:15 PM, mabshoff 
michael.absh...@mathematik.uni-dortmund.de wrote:




 On Apr 13, 10:13 am, Eric Kaufmann kaufmanne...@gmail.com wrote:
  Binary did work before I copied it. A version of sage was already
 installed
  on the systems. When I copied it over the older version of sage was
 deleted
  first. This worked w/o any issues on the first test machine I did this
 on.

 Well, what did you do different? And *how* did you copy it?

  Is there any documentation on how to set the variables.

 Look at the sage script, but you don't need to set it.

  Regards,
 
  Eric

 Cheers,

 Michael
 


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[sage-support] Re: Vector fields and Quivers

[Eric Drechsel]

Thanks for the matplotlib recipe! I just had the same problem with
plot_vector_field not accepting coordinate functions of two arguments.
I went ahead and created an issue: 
http://trac.sagemath.org/sage_trac/ticket/2381

- Eric

On Feb 17, 10:19 am, Hector Villafuerte [EMAIL PROTECTED] wrote:
 Hi,
 I would like to plot the gradient (i.e. vector field) of functions
 such as  f(x,y) = exp(-(x^2 + y^2)); in this case:
 grad(f(x,y)) = vector([ -2*x*exp(-(x^2 + y^2)), -2*y*exp(-(x^2 + y^2)) ])

 Initially I tried with plot_vector_field, but as of now it just takes
 two functions of one variable. For my second attempt I used
 matplotlib, as indicated below (also, see attached plots).

 So my question: is there a SAGEly way to plot this type of vector fields?
 Thanks in advance!
 --
  Hector

 sage: %python
 sage: from pylab import *
 sage: X,Y = meshgrid( arange(-2,2,.2),arange(-2,2,.2) )
 sage: U = -2*X*exp(-(X*X + Y*Y))
 sage: V = -2*Y*exp(-(X*X + Y*Y))
 sage: figure()
 sage: Q = quiver( U, V)
 sage: l,r,b,t = axis()
 sage: dx, dy = r-l, t-b
 sage: axis([l-0.05*dx, r+0.05*dx, b-0.05*dy, t+0.05*dy])
 sage: savefig(DATA+'quiver.png')

  quiver.png
 96KViewDownload

  3d.png
 1020KViewDownload

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[sage-support] Re: Vector fields and Quivers

[Eric Drechsel]

Jason: wow, that was quick. I'll try out the plot_vector_field patch
as soon as I figure out how to test patches etc

I ended up using Hector's example and some things from the matplotlib
documentation for my assignment. A notable improvement is using
axis('tight'), which solves the window mis-alignment problem.
Uploaded to https://www.sagenb.org/home/pub/1721

On Mar 3, 8:34 pm, Eric Drechsel [EMAIL PROTECTED] wrote:
 Thanks for the matplotlib recipe! I just had the same problem with
 plot_vector_field not accepting coordinate functions of two arguments.
 I went ahead and created an 
 issue:http://trac.sagemath.org/sage_trac/ticket/2381

 - Eric

 On Feb 17, 10:19 am, Hector Villafuerte [EMAIL PROTECTED] wrote:

  Hi,
  I would like to plot the gradient (i.e. vector field) of functions
  such as  f(x,y) = exp(-(x^2 + y^2)); in this case:
  grad(f(x,y)) = vector([ -2*x*exp(-(x^2 + y^2)), -2*y*exp(-(x^2 + y^2)) ])

  Initially I tried with plot_vector_field, but as of now it just takes
  two functions of one variable. For my second attempt I used
  matplotlib, as indicated below (also, see attached plots).

  So my question: is there a SAGEly way to plot this type of vector fields?
  Thanks in advance!
  --
   Hector

  sage: %python
  sage: from pylab import *
  sage: X,Y = meshgrid( arange(-2,2,.2),arange(-2,2,.2) )
  sage: U = -2*X*exp(-(X*X + Y*Y))
  sage: V = -2*Y*exp(-(X*X + Y*Y))
  sage: figure()
  sage: Q = quiver( U, V)
  sage: l,r,b,t = axis()
  sage: dx, dy = r-l, t-b
  sage: axis([l-0.05*dx, r+0.05*dx, b-0.05*dy, t+0.05*dy])
  sage: savefig(DATA+'quiver.png')

   quiver.png
  96KViewDownload

   3d.png
  1020KViewDownload
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