[sage-support] Re: An importing problem
On Thu, Sep 24, 2009 at 10:51 PM, Kwankyu ekwan...@gmail.com wrote: Hi, I am modifying the file sage/rings/polynomial/term_order.py. If I add the following line import sage.matrix.matrix Then Sage is compiled but Sage does not run but issue the following error: ... ... ... /Users/Kwankyu/Sage/local/lib/python2.6/site-packages/sage/matrix/ matrix_space.py in module() 32 # Sage matrix imports 33 import matrix --- 34 import matrix_generic_dense 35 import matrix_generic_sparse 36 /Users/Kwankyu/Sage/local/bin/matrix_generic_dense.pyx in sage.matrix.matrix_generic_dense (sage/matrix/matrix_generic_dense.c: 3790)() /Users/Kwankyu/Sage/local/bin/matrix_dense.pyx in sage.matrix.matrix_dense (sage/matrix/matrix_dense.c:4981)() AttributeError: 'module' object has no attribute 'Matrix' Error importing ipy_profile_sage - perhaps you should run %upgrade? WARNING: Loading of ipy_profile_sage failed. What am I doing wrong? Am I doing a circular import? Yes. What I want to do actually is to use the method sage.matrix.matrix.is_Matrix(). This is perhaps a novice's question... Thank you in advance. It's not a novice question. Try putting import sage.matrix.matrix as the line *right* before you use sage.matrix.matrix.is_Matrix(). I.e., do the import in the function, not at the module level. William --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: An importing problem
Hi William, Try putting import sage.matrix.matrix as the line *right* before you use sage.matrix.matrix.is_Matrix(). I.e., do the import in the function, not at the module level. That is what I first tried. That results in the same error. I added the line import sage.matrix.matrix in the function __init__. What is strange is that another line I added at the same place from sage.rings.integer_ring import IntegerRing cause no trouble. I guess the problem is that __init__ function (in the class TermOrder in sage/rings/polynomial/term_order.py) is executed before the matrix modules are fully loaded into Sage. Am I right? If so, is there a workaround? Kwankyu --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Can't plot anything
Hallo, I'm new to sage and tried to use it. After the installation I started a worksheet and tried the following circle((0,0), 1, rgbcolor=(1,1,0)) and got the replay /Applications/sage/local/bin/sage-sage: line 349: 4119 Abort trap python $@ What is wrong? --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Can't plot anything
I guess you are using a mac, but can you tell us what version the OS is and what version of Sage you are running? Is it a binary, for example? (This might help others on the list diagnose the problem.) On Fri, Sep 25, 2009 at 7:18 AM, Swanhild Bernstein swanhild.bernst...@math.tu-freiberg.de wrote: Hallo, I'm new to sage and tried to use it. After the installation I started a worksheet and tried the following circle((0,0), 1, rgbcolor=(1,1,0)) and got the replay /Applications/sage/local/bin/sage-sage: line 349: 4119 Abort trap python $@ What is wrong? --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Can't plot anything
Thanks for your answer, yes, I do use a mac OS X 10.6 (snow leopard) and the Sage version is sage-4.1.1-OSX10.5-intel-64bit Sage has no problem with (simple) calculation, I already tried that and it works fine. Swanhild --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: sage vmware image visible from Internet
On 24 zář, 11:08, William Stein wst...@gmail.com wrote: For the record, here is the actual entry I use in /etc/httpd.conf: VirtualHost * RewriteEngine On ServerName sagenb.org ProxyPass/http://sagenb2:8000/ ProxyPassReverse /http://sagenb2:8000/ DocumentRoot / Location / DefaultType text/html /Location /VirtualHost Great, after many hours of using google I solevd the problem. Just for the record: My entry in apache2.conf (debian) is Listen 8001 VirtualHost *:8001 RewriteEngine On ProxyPass/ http://192.168.86.131/ ProxyPassReverse / http://192.168.86.131/ DocumentRoot / Location / DefaultType text/html /Location /VirtualHost I had to do (if I remember correctly) a2enmod proxy a2enmod rewrite a2enmod proxy_http customize proxy.conf and restart apache many thanks Robert where host is whatever you use to (locally) connect. Doing this will forward all connections to VirtualHost (however it's specified, either by port or by dns name or whatever, maybe everything if you're not running another webserver on your PC) to the virtual machine. Thank you very much. Robert btw: I have seen that sagenb.org has 8GB RAM. Right? The actual machine it's on has 128GB RAM, but it's in a VMWare image that sees less than that. I wonder, how large is the swap. I used for small group (15 students) sage on PC with 2GB RAM and it was necessary to have really big swap, since Sage was consuming memory fast (has been discussed in January - here on sage-edu). -- William Stein Associate Professor of Mathematics University of Washingtonhttp://wstein.org --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Can't plot anything
Hi Swanhild, On Fri, Sep 25, 2009 at 9:48 PM, Susi swanhild.bernst...@math.tu-freiberg.de wrote: Thanks for your answer, yes, I do use a mac OS X 10.6 (snow leopard) and the Sage version is sage-4.1.1-OSX10.5-intel-64bit Snow Leopard is pretty new. The binary you used was built on OS X 10.5, without any patches to support OS X 10.6. Even if you compile Sage 4.1.1 yourself on OS X 10.6, you would likely run into troubles and Sage 4.1.1 won't compile successfully on that platform. We are now updating and upgrading packages so that they work on Snow Leopard. The upcoming release Sage 4.1.2 should have better support for OS X 10.6 than previously. In the meantime, you could use the public Sage notebook [1]. [1] http://www.sagenb.org -- Regards Minh Van Nguyen --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Can't plot anything
Thanks for the answer, well, I violated a basic rule: Don't use new systems too early. I will wait for the upgrade and hopefully it won't take too long. I'm specifically intersted in using Sagetex but it won't work without Sage. Swanhild --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: graphics broken in 10.6?
This problem was just reported again on sage-support. To those who reported it (Gary, Jeannine), did you use the 64-bit binary? That was the one which caused the problem on the most recent report. Does the 32-bit binary work properly for you? (The error messages above all say it's looking for files in /Users/was/build/64bit/ sage-4.1.1.alpha1/spkg/build/python-2.6.2.p1/src/libpython2.6.a which of course will not live on most people's computers, and maybe somehow William's 64-bit build did something funky.) - kcrisman On Sep 17, 11:49 am, Gary gary.fueh...@gmail.com wrote: Wow, I can't believe so few have reported this problem. Really I've nothing new to add other than solidarity -- I got this same error when I tried it two weeks ago. One difference in my setup is that I installed Snow Leopard fresh into a new partition instead of upgrading an existing Leopard. Gary --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: max and min evaluating symbolic expressions too soon
This is a really nasty bug.. Symbolic maxima and minima are mathematical standard tools, they should at least be _callable_ in standard sage. One can see the problem this way: p = var(p) show( plot(max(p,3),(p,0,10)) ) show( plot(min(p,3),(p,0,10)) ) Could someone please post a quickhack to define min_symbolic() other than max_symbolic(-a,-b)*(-1) --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Evaluating a Jacobian
Now how do I evaluate f itself at those same points. I can't seem to
figure it out.
On Sep 24, 9:47 pm, Jason Grout jason-s...@creativetrax.com wrote:
Sterling wrote:
How do I evaluate a Jacobian at certain values? For example, I type:
x1,x2,x3 = var('x1 x2 x3')
f1(x1,x2,x3) = 3*x1 - cos(x2*x3) - (1/2)
f2(x1,x2,x3) = x1^2 - 81*(x2 + 0.1)^2 + sin(x3) + 1.06
f3(x1,x2,x3) = e^(-x1*x2) + 20*x3 + (10*pi - 3)/3
f = (f1,f2,f3)
j = jacobian(f, [x1,x2,x3])
I thought it would (intuitively) be:
j(x1=0.1,x2=0.1,x3=-0.1)
But apparently not. Please advise.
I think the thing I would do is make your f a symbolic expression by
actually calling the functions with arguments:
f = (f1(x1,x2,x3), f2(x1,x2,x3), f3(x1,x2,x3))
Then things work like you wished.
Another thing you could do is make the matrix explicitly a symbolic
expression matrix:
matrix(SR,j)
Then your idea works great as well.
Thanks,
Jason
--
Jason Grout
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[sage-support] Re: graphics broken in 10.6?
On Fri, Sep 25, 2009 at 6:49 AM, kcrisman kcris...@gmail.com wrote: This problem was just reported again on sage-support. To those who reported it (Gary, Jeannine), did you use the 64-bit binary? That was the one which caused the problem on the most recent report. Does the 32-bit binary work properly for you? (The error messages above all say it's looking for files in /Users/was/build/64bit/ sage-4.1.1.alpha1/spkg/build/python-2.6.2.p1/src/libpython2.6.a which of course will not live on most people's computers, and maybe somehow William's 64-bit build did something funky.) I've created a pre-release version of the next version of Sage, which supports OS X 10.6. Would you like to try that? It's here: http://sage.math.washington.edu/home/wstein/binaries/sage-4.1.2.alpha3-i386-Darwin.dmg Note, it is a prerelease version, so some of the (nearly 100,000) automated tests don't pass. -- William --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Can't plot anything
Susi wrote: Thanks for the answer, well, I violated a basic rule: Don't use new systems too early. I will wait for the upgrade and hopefully it won't take too long. I'm specifically intersted in using Sagetex but it won't work without Sage. If I recall correctly, sagetex now can work with remote sage servers. So you don't need to run Sage on your local computer. I think the details are in the documentation. That's how you get sagetex to run on Windows... Jason --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: expand, combine and rewrite with sage.
Hi Burcin, Many thanks for theses details about sage. I try to understand what you prefer, and why. The main reason I left this simplification exp(a)^2 to exp(2*a) while fixing #6948 was that MMA does things this way. All right : MMA is good. Another consideration was that before performing any nontrivial operation on symbolic expressions (integration, transforms, etc.), we would have to perform some normalization, and this seemed like a normal form as it is. It's often true, but on the other hand I'm quite sure the main Risch algorithm for integration looks at independant algebraic functions and transforms exp(2x) and exp(3x) to y^2 and y^3 with y=exp(x) : the opposite transform. This almost canonical transform can also be the first call in sum, diffenrentiate, and so. (I'm not sure about integrate). An other point : I see that sage is very lazy over expressions : (1+1/x) / (2+1/x) remains. So I don't find very logically consistent to be hurry with exp(a)^2 and to be lazy with fractions. With rational expressions the single functions expand and factor transform (a-b)*(a+b) and a^2-b^2, and sage remains both expressions in their input forms. And I look at exp by analogies. Thanks a lot for your workaround for tests, but I expect an easiest way for students. As a workaround, you can do the following to replace exp(x) with y in the example above: sage: t = exp(2*x)/(exp(3*x)+1) sage: w = SR.wild() sage: match_list = t.find(exp(w*x)); match_list ... The way with hold(exp(a))^5 expressions is less symetric in the mind but lets also possible a lot of computations in both way. An expand(exp(2*a)) may return hold(exp(a))^2 even if the next eval go back to exp(2*a). If you think it'll help, I can probably prepare a pynac package that disables the automatic simplification of exp powers. I don't have time to submit that to Sage (say, as an alternative solution to #6948), but it's not hard to do this for experimental purposes. Your offer is superb and I keep it in my mind. But I'll continue to play with the standard sage, and learn it. Even if I feel we should come back to this point later. 3 more practice questions. 1/ I see you have already patched the exp(a)^b problem. I use sage-4.1.1 and run sage -upgrade, but I don't get any update. Of corse I can wait the next sage, but is there a way to get a new-and-unstable sage ? 2/ expand(x^(a+b)) = x^a * x^b but expand(x^(2*a)) remains x^(2*a). I dislike (expand(x^(a+b)).subs(b=a). The + morphism transform implies the Integer*a and the -a related properties. 3/ How in sage can I test if a sub-expression I get with expr.operands()[0 or 1 or 2] is a integer, a single variable, a real expression in its tree. Many thanks for your patience with me. Francois --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Evaluating a Jacobian
Sterling wrote: Now how do I evaluate f itself at those same points. I can't seem to figure it out. f is a vector-valued function. Right now, I think the best way to evaluate a vector-valued function is to declare it a vector: f = vector([f1(x1,x2,x3), f2(x1,x2,x3), f3(x1,x2,x3)]) We are still working on supporting vector-valued functions (or in general, functions from R^n to R^m) consistently, so you might run into some more inconsistencies. If you don't want to declare f a vector, then you can do something like: [g(x1=1,x2=3,x3=4) for g in f] Jason --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: expand, combine and rewrite with sage.
On Sep 25, 12:35 pm, Francois Maltey fmal...@nerim.fr wrote: Hi Burcin, Many thanks for theses details about sage. I try to understand what you prefer, and why. The main reason I left this simplification exp(a)^2 to exp(2*a) while fixing #6948 was that MMA does things this way. All right : MMA is good. Another consideration was that before performing any nontrivial operation on symbolic expressions (integration, transforms, etc.), we would have to perform some normalization, and this seemed like a normal form as it is. It's often true, but on the other hand I'm quite sure the main Risch algorithm for integration looks at independant algebraic functions and transforms exp(2x) and exp(3x) to y^2 and y^3 with y=exp(x) : the opposite transform. This almost canonical transform can also be the first call in sum, diffenrentiate, and so. (I'm not sure about integrate). An other point : I see that sage is very lazy over expressions : (1+1/x) / (2+1/x) remains. So I don't find very logically consistent to be hurry with exp(a)^2 and to be lazy with fractions. With rational expressions the single functions expand and factor transform (a-b)*(a+b) and a^2-b^2, and sage remains both expressions in their input forms. And I look at exp by analogies. Thanks a lot for your workaround for tests, but I expect an easiest way for students. As a workaround, you can do the following to replace exp(x) with y in the example above: sage: t = exp(2*x)/(exp(3*x)+1) sage: w = SR.wild() sage: match_list = t.find(exp(w*x)); match_list ... The way with hold(exp(a))^5 expressions is less symetric in the mind but lets also possible a lot of computations in both way. An expand(exp(2*a)) may return hold(exp(a))^2 even if the next eval go back to exp(2*a). If you think it'll help, I can probably prepare a pynac package that disables the automatic simplification of exp powers. I don't have time to submit that to Sage (say, as an alternative solution to #6948), but it's not hard to do this for experimental purposes. Your offer is superb and I keep it in my mind. But I'll continue to play with the standard sage, and learn it. Even if I feel we should come back to this point later. 3 more practice questions. 1/ I see you have already patched the exp(a)^b problem. I use sage-4.1.1 and run sage -upgrade, but I don't get any update. Of corse I can wait the next sage, but is there a way to get a new-and-unstable sage ? See http://groups.google.com/group/sage-devel, and look for things that talk about releases. In this case, http://groups.google.com/group/sage-devel/browse_thread/thread/bdf60570317ba5ad has information about the development version. Or you can look at the group http://groups.google.com/group/sage-release, but it's not as interesting of a group :) Also, be careful using sage -upgrade unless you have already built from source and are in a clean branch (even then bad things can happen...). 3/ How in sage can I test if a sub-expression I get with expr.operands()[0 or 1 or 2] is a integer, a single variable, a real expression in its tree. Use .pyobject() on the coefficient, I think (I got this from Burcin in an earlier thread). - kcrisman --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: expand, combine and rewrite with sage.
Hi Francois, On Sat, Sep 26, 2009 at 2:35 AM, Francois Maltey fmal...@nerim.fr wrote: SNIP 1/ I see you have already patched the exp(a)^b problem. I use sage-4.1.1 and run sage -upgrade, but I don't get any update. Of corse I can wait the next sage, but is there a way to get a new-and-unstable sage ? See the milestone page [1] for Sage 4.1.2, especially the section that says Pre-release. If you have an account on the development machine sage.math, you can get alpha releases under my development home directory [2]. On sage.math, you can use pre-built binaries for that particular machine. If you have compiled Sage 4.1.1 from source, you can upgrade that to the latest alpha/unstable version. The current alpha release is Sage 4.1.2.alpha2. To upgrade to this unstable release, first cd to SAGE_ROOT and do the following from the command line: $ ./sage -upgrade http://sage.math.washington.edu/home/mvngu/release/upgrade/sage-4.1.2.alpha2/ [1] http://trac.sagemath.org/sage_trac/milestone/sage-4.1.2 [2] http://sage.math.washington.edu/home/mvngu/release/upgrade/ -- Regards Minh Van Nguyen --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Help with euler's equation.
You might also find some of the differential equation interact examples helpful, there are three that relate to Euler's method: http://wiki.sagemath.org/interact/diffeq -M. Hampton On Sep 24, 12:52 pm, Jaasiel Ornelas jrodri1...@gmail.com wrote: wow, Iwas trying to figure out how to do exactly what you did, but I don't know how to program. Thx, now I have something to base myself off. --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: jsMath working on server
Changed to AsciiMath. Working great. I have pretty print all over the server. Most of the functions have pretty print. Works great with FireFox even from a Linux box. If you use IE8 or 7 you will need to install MathPlayer. Try the text2speech function. Really nice. Right click on the math expression. The major problem was to get pretty in output. If anyone would like this setup on their server let me know. I have it working with a basic web service. Thanks for all the help with Sage and Python(Robert and Willian). I am using a Twisted server. Try http://www.pirsqr.com:2713/ On Sep 23, 10:35 am, Mikie thephantom6...@hotmail.com wrote: Finally I have jsMath working on my server. Tryhttp://pirsqr.com:1843/ Really strange works great on IE8, but not quit as good with FireFox. The integrator has all the pretty print. Put int in the type and take a look at the pretty print output. I would like some feedback on how FireFox does with the pretty print. Thanx --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] derivatives of trig functions
I'm pretty sure this is a bug, but just in case: sage: diff(sec(x)) D[0](sec)(x) sage: plot(diff(sec(x)), 0, pi/4) ...traceback omitted... AttributeError: 'sage.symbolic.expression.Expression' object has no attribute '_set_extra_kwds' sage: f = diff(sec(x)) sage: f(x=0) D[0](sec)(0) The same thing happens for cot(x) and csc(x). Using 1/cos(x) works just fine, which baffles me. Is this something that can be fixed, or is it not broken? regards john perry --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: derivatives of trig functions
john_perry_usm wrote: I'm pretty sure this is a bug, but just in case: sage: diff(sec(x)) D[0](sec)(x) sage: plot(diff(sec(x)), 0, pi/4) ...traceback omitted... AttributeError: 'sage.symbolic.expression.Expression' object has no attribute '_set_extra_kwds' sage: f = diff(sec(x)) sage: f(x=0) D[0](sec)(0) The same thing happens for cot(x) and csc(x). Using 1/cos(x) works just fine, which baffles me. Is this something that can be fixed, or is it not broken? I'm pretty sure this is already fixed: http://trac.sagemath.org/sage_trac/ticket/6956 Jason -- Jason Grout --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
