Re: [sage-support] Freshly installed sage crashes
On Tuesday, August 15, 2023 at 12:42:04 PM UTC+2 Michel VAN DEN BERGH wrote: On Tuesday, August 15, 2023 at 11:50:10 AM UTC+2 Jan Groenewald wrote: Hi A quick web search does not bring up results pointing at the sagemath package being broken on Ubuntu 22.04. My guess is that it is something else on your system. Regards, Jan On my laptop the sagemath package works. However I have issues installing it on my desktop. An obvious guess is that the CPU is too old. It is an Intel Core 2 Duo E8400 (which was launched in January 2008). One can imagine that the distro sage is compiled with certain optimizations which are not supported by my CPU. Michel I think I found a relevant report https://groups.google.com/g/sage-devel/c/Lj-wx4xm0N4 The error reported there is similar to what I am seeing. Michel . -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/9b394fdc-4de8-4703-af88-c2c6b03e5bfcn%40googlegroups.com.
Re: [sage-support] Freshly installed sage crashes
On Tuesday, August 15, 2023 at 11:50:10 AM UTC+2 Jan Groenewald wrote: Hi A quick web search does not bring up results pointing at the sagemath package being broken on Ubuntu 22.04. My guess is that it is something else on your system. Regards, Jan On my laptop the sagemath package works. However I have issues installing it on my desktop. An obvious guess is that the CPU is too old. It is an Intel Core 2 Duo E8400 (which was launched in January 2008). One can imagine that the distro sage is compiled with certain optimizations which are not supported by my CPU. Michel . -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/e500d3db-2bce-43c3-ac76-3c91db899b3cn%40googlegroups.com.
Re: [sage-support] Freshly installed sage crashes
On Tuesday, August 15, 2023 at 8:11:35 AM UTC+2 Michel VAN DEN BERGH wrote: On Monday, August 14, 2023 at 10:45:32 AM UTC+2 Henri Girard wrote: Did you make a link to your compiled version ? I compiled sage in sage (which us the base dir) after I sudo ln -s /sage /usr/bin/sage then you get sage wide I don't use the sage executable, but I do "import sage" inside the python interpreter (I only run scripts). This used to work with the distro sage, but I have not found how to make that work with the compiled sage. Do you know how to achieve this? Michel I did some investigating and it seems that the distro sage installs sage as an honest module (it is in the file system as /usr/lib/python3/dist-packages/sage/) whereas the python that comes with the compiled sage has sage as a built-in module (it seems to be not in the file system). So it is not accessible to the global python I think. The following is for the sage python. $ sage --python >>> import sage >>> import inspect >>> inspect.getfile(sage) Traceback (most recent call last): File "", line 1, in File "/home/sage_user/sage/local/var/lib/sage/venv-python3.11.1/lib/python3.11/inspect.py", line 901, in getfile raise TypeError('{!r} is a built-in module'.format(object)) TypeError: )> is a built-in module >>> -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/cdf03f5c-2ad1-4d0a-a4c5-06a1b3fec632n%40googlegroups.com.
Re: [sage-support] Freshly installed sage crashes
On Monday, August 14, 2023 at 10:45:32 AM UTC+2 Henri Girard wrote: Did you make a link to your compiled version ? I compiled sage in sage (which us the base dir) after I sudo ln -s /sage /usr/bin/sage then you get sage wide I don't use the sage executable, but I do "import sage" inside the python interpreter (I only run scripts). This used to work with the distro sage, but I have not found how to make that work with the compiled sage. Do you know how to achieve this? Michel I installed the ubuntu version which is working fine : sudo apt install sagemath* jupyter* to get all libs working hope that can help best Henri -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/8670c2f2-b506-473b-ae59-f6c1166e9829n%40googlegroups.com <https://groups.google.com/d/msgid/sage-support/8670c2f2-b506-473b-ae59-f6c1166e9829n%40googlegroups.com?utm_medium=email_source=footer> . -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/31670cfe-19d9-4963-9054-32a6783ad24fn%40googlegroups.com.
Re: [sage-support] Freshly installed sage crashes
On Monday, August 14, 2023 at 1:41:51 PM UTC+2 Dima Pasechnik wrote: On Mon, 14 Aug 2023, 09:32 'Michel VAN DEN BERGH' via sage-support, < sage-s...@googlegroups.com> wrote: I was unable to get the distro sage to work. I compiled sage from source and this solved the problem. Sad though since I would have preferred to use the distro version. we are not involved in building distribution packages - this should be an Ubuntu bug report. Fair enough. Next time I try and it still doesn't work I will file one! - You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/bd9d3fb3-d8f8-4a55-b51c-38ea8e8d0de5n%40googlegroups.com <https://groups.google.com/d/msgid/sage-support/bd9d3fb3-d8f8-4a55-b51c-38ea8e8d0de5n%40googlegroups.com?utm_medium=email_source=footer> . -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/8670c2f2-b506-473b-ae59-f6c1166e9829n%40googlegroups.com <https://groups.google.com/d/msgid/sage-support/8670c2f2-b506-473b-ae59-f6c1166e9829n%40googlegroups.com?utm_medium=email_source=footer> . -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/d43226ab-d419-43d6-ad35-531f97c8c62an%40googlegroups.com.
Re: [sage-support] Freshly installed sage crashes
I was unable to get the distro sage to work. I compiled sage from source and this solved the problem. Sad though since I would have preferred to use the distro version. On Sunday, August 13, 2023 at 6:55:16 PM UTC+2 Jan Groenewald wrote: > Hi > > Does this happen with a user other than your own? Even root will do for a > quick test. > Perhaps pip installed packages or other repositories are conflicting. Also > try > LC_ALL=C sage > > Regards, > Jan > > > > On Sun, 13 Aug 2023 at 18:14, 'Michel VAN DEN BERGH' via sage-support < > sage-s...@googlegroups.com> wrote: > >> Hi, >> >> Today I installed sage on Ubuntu 22.04 using >> >> apt install sagemath >> >> Sadly after typing 'sage' the program crashes. The crash seems to be >> related to Cython. I am attaching the crash report. >> >> What are my options? >> >> Best regards, >> Michel >> >> >> >> >> -- >> You received this message because you are subscribed to the Google Groups >> "sage-support" group. >> To unsubscribe from this group and stop receiving emails from it, send an >> email to sage-support...@googlegroups.com. >> To view this discussion on the web visit >> https://groups.google.com/d/msgid/sage-support/bd9d3fb3-d8f8-4a55-b51c-38ea8e8d0de5n%40googlegroups.com >> >> <https://groups.google.com/d/msgid/sage-support/bd9d3fb3-d8f8-4a55-b51c-38ea8e8d0de5n%40googlegroups.com?utm_medium=email_source=footer> >> . >> > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/8670c2f2-b506-473b-ae59-f6c1166e9829n%40googlegroups.com.
[sage-support] Freshly installed sage crashes
Hi, Today I installed sage on Ubuntu 22.04 using apt install sagemath Sadly after typing 'sage' the program crashes. The crash seems to be related to Cython. I am attaching the crash report. What are my options? Best regards, Michel -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/bd9d3fb3-d8f8-4a55-b51c-38ea8e8d0de5n%40googlegroups.com. GNU gdb (Ubuntu 12.1-0ubuntu1~22.04) 12.1 Copyright (C) 2022 Free Software Foundation, Inc. License GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html> This is free software: you are free to change and redistribute it. There is NO WARRANTY, to the extent permitted by law. Type "show copying" and "show warranty" for details. This GDB was configured as "x86_64-linux-gnu". Type "show configuration" for configuration details. For bug reporting instructions, please see: <https://www.gnu.org/software/gdb/bugs/>. Find the GDB manual and other documentation resources online at: <http://www.gnu.org/software/gdb/documentation/>. For help, type "help". Type "apropos word" to search for commands related to "word". [New LWP 422779] [Thread debugging using libthread_db enabled] Using host libthread_db library "/lib/x86_64-linux-gnu/libthread_db.so.1". 0x7ff9028ea49f in wait4 () from /lib/x86_64-linux-gnu/libc.so.6 Stack backtrace --- No symbol table info available. #1 0x7ff8ff1c30f4 in ?? () from /usr/lib/python3/dist-packages/cysignals/signals.cpython-310-x86_64-linux-gnu.so No symbol table info available. #2 0x7ff8ff1c3256 in ?? () from /usr/lib/python3/dist-packages/cysignals/signals.cpython-310-x86_64-linux-gnu.so No symbol table info available. #3 0x7ff8ff1c5f64 in ?? () from /usr/lib/python3/dist-packages/cysignals/signals.cpython-310-x86_64-linux-gnu.so No symbol table info available. #4 No symbol table info available. #5 0x7ff8ab2d71f8 in primecount::PhiTiny::PhiTiny() () from /lib/x86_64-linux-gnu/libprimecount.so.7 No symbol table info available. #6 0x7ff8ab2d60da in ?? () from /lib/x86_64-linux-gnu/libprimecount.so.7 No symbol table info available. #7 0x7ff902d2f47e in ?? () from /lib64/ld-linux-x86-64.so.2 No symbol table info available. #8 0x7ff902d2f568 in ?? () from /lib64/ld-linux-x86-64.so.2 No symbol table info available. #9 0x7ff902974c85 in _dl_catch_exception () from /lib/x86_64-linux-gnu/libc.so.6 No symbol table info available. #10 0x7ff902d36ff6 in ?? () from /lib64/ld-linux-x86-64.so.2 No symbol table info available. #11 0x7ff902974c28 in _dl_catch_exception () from /lib/x86_64-linux-gnu/libc.so.6 No symbol table info available. #12 0x7ff902d3734e in ?? () from /lib64/ld-linux-x86-64.so.2 No symbol table info available. #13 0x7ff9028906bc in ?? () from /lib/x86_64-linux-gnu/libc.so.6 No symbol table info available. #14 0x7ff902974c28 in _dl_catch_exception () from /lib/x86_64-linux-gnu/libc.so.6 No symbol table info available. #15 0x7ff902974cf3 in _dl_catch_error () from /lib/x86_64-linux-gnu/libc.so.6 No symbol table info available. #16 0x7ff9028901ae in ?? () from /lib/x86_64-linux-gnu/libc.so.6 No symbol table info available. #17 0x7ff902890748 in dlopen () from /lib/x86_64-linux-gnu/libc.so.6 No symbol table info available. #18 0x5646cae6460b in ?? () No symbol table info available. #19 0x5646cae630f7 in ?? () No symbol table info available. #20 0x5646cad5f969 in ?? () No symbol table info available. #21 0x5646cad4a2c1 in _PyEval_EvalFrameDefault () No symbol table info available. #22 0x5646cad5f70c in _PyFunction_Vectorcall () No symbol table info available. #23 0x5646cad4d8a2 in _PyEval_EvalFrameDefault () No symbol table info available. #24 0x5646cad5f70c in _PyFunction_Vectorcall () No symbol table info available. #25 0x5646cad47f52 in _PyEval_EvalFrameDefault () No symbol table info available. #26 0x5646cad5f70c in _PyFunction_Vectorcall () No symbol table info available. #27 0x5646cad47e0d in _PyEval_EvalFrameDefault () No symbol table info available. #28 0x5646cad5f70c in _PyFunction_Vectorcall () No symbol table info available. #29 0x5646cad47e0d in _PyEval_EvalFrameDefault () No symbol table info available. #30 0x5646cad5f70c in _PyFunction_Vectorcall () No symbol table info available. #31 0x5646cad47e0d in _PyEval_EvalFrameDefault () No symbol table info available. #32 0x5646cad5f70c in _PyFunction_Vectorcall () No symbol table info available. #33 0x5646cad5eb24 in ?? () No symbol table info available. #34 0x5646cae3e4af in _PyObject_CallMethodIdObjArgs () No sym
[sage-support] What is the domain of a WeylGroup
Hi all, I am trying to do a calculation with a Weyl group acting on its standard weight representation. However when I do sage: G=WeylGroup("E6") sage: dim(G.domain()) the result is 8. So the domain is on the 6 dimensional weight representation, as I expected. Unfortunately there appears to be no documentation on this. Hence my question here. Can we work in some way with the weight representation of a Weyl group? Kind regards, Michel -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/d5f5d6af-f419-4cd8-82b6-a2deba73a130n%40googlegroups.com.
Re: [sage-support] Morphisms between free groups.
Now it seems "subs" does work. I must have done something wrong. Sorry for the noise. On Friday, February 4, 2022 at 3:55:19 PM UTC+1 dim...@gmail.com wrote: > > > On Fri, 4 Feb 2022, 11:02 David Joyner, wrote: > >> On Fri, Feb 4, 2022 at 4:40 AM 'Michel VAN DEN BERGH' via sage-support >> wrote: >> > >> > Dear all, >> > >> > I need to do something which I thought would be quite simple. I have >> free groups >> > F, G with generators x1,x2,x3,x4 and x,y respectively and I need to >> compute the image of an element under the homomorphism F-->G:x1->x, x2->y, >> x3->x, x4->y. >> > >> > I could not find anything in the manual about morphisms between free >> groups. I tried subs, but that does not work since the parents of the >> elements of F and G are (of course) different. >> > >> > The workaround I used is to work in the free group H with generators >> x1,x2,x3,x4,x,y and to use subs. However this is also inconvenient since I >> need the action of the braid group with 4 strands on F. It does not act on >> H because of the limitation "#strands=#generators". >> > >> > So this means I have to use only part of the braid group with 6 strands. >> > >> > In the end it all works but it is terribly hacky for some which seems >> to be a very clean thing to do. >> > >> > I would be grateful for any suggestions. >> >> Michel: >> >> One idea is to check out >> https://doc.sagemath.org/html/en/reference/groups/sage/groups/braid.html >> >> Another idea is to download braid-1.1.tar.gz, untar in the pkg >> subdirectory and type LoadPackage("braid"); >> > > > most, if not all, functionality of braid is nowadays in > https://gap-packages.github.io/MapClass/ > > (which is in our gap_packages) > > > FYI, the pkg subdir is inside sage-9*/local/share/gap >> You can find a pdf manual for the braid package at >> https://arxiv.org/abs/math/0304376 >> Currently, the link to braid-1.1.tar.gz at >> https://www.gap-system.org/Packages/undep.html >> is bad but I have a copy. Just email me privately. >> >> - David >> >> > Michel >> > >> > >> > -- >> > You received this message because you are subscribed to the Google >> Groups "sage-support" group. >> > To unsubscribe from this group and stop receiving emails from it, send >> an email to sage-support...@googlegroups.com. >> > To view this discussion on the web visit >> https://groups.google.com/d/msgid/sage-support/f7d460d0-390b-455d-ae90-72b105e8e926n%40googlegroups.com >> . >> >> -- >> You received this message because you are subscribed to the Google Groups >> "sage-support" group. >> To unsubscribe from this group and stop receiving emails from it, send an >> email to sage-support...@googlegroups.com. >> > To view this discussion on the web visit >> https://groups.google.com/d/msgid/sage-support/CAEQuuAVmSsLxS%2Bi50JNUqrK%3DUm%3DquJaZ2ueNuedAVzr6xKSMzQ%40mail.gmail.com >> . >> > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/44926720-4e3c-4567-94a3-8e2e6ff90a4cn%40googlegroups.com.
[sage-support] Morphisms between free groups.
Dear all, I need to do something which I thought would be quite simple. I have free groups F, G with generators x1,x2,x3,x4 and x,y respectively and I need to compute the image of an element under the homomorphism F-->G:x1->x, x2->y, x3->x, x4->y. I could not find anything in the manual about morphisms between free groups. I tried subs, but that does not work since the parents of the elements of F and G are (of course) different. The workaround I used is to work in the free group H with generators x1,x2,x3,x4,x,y and to use subs. However this is also inconvenient since I need the action of the braid group with 4 strands on F. It does not act on H because of the limitation "#strands=#generators". So this means I have to use only part of the braid group with 6 strands. In the end it all works but it is terribly hacky for some which seems to be a very clean thing to do. I would be grateful for any suggestions. Michel -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/f7d460d0-390b-455d-ae90-72b105e8e926n%40googlegroups.com.
[sage-support] Setting viewpoint in implicit_plot3d
Dear all, I have this plot command which works fine var('x,y,z') G=implicit_plot3d(x^2+y^2-z^2==0.0001, (x,-1,1), (y,-1,1), (z,-1,1),plot_points=200,frame=False,viewer="threejs") However I would like to change the default camera position and I cannot figure out how to do this... I would be very grateful to anyone that can help me. Michel -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/24c5cfb2-4cdd-41be-a91d-50b716c9c92fn%40googlegroups.com.
[sage-support] Missing file in scipy installation?
I was trying some functions to do root locus plots found on the net. Doing this I found out that there seems to be something incomplete about the scipy installation in sage. from scipy.io.array_import import read_array --- ImportError Traceback (most recent call last) /home/vdbergh/SRC/ROOTLOCUS/ipython console in module() /home/vdbergh/sage-4.6.2-linux-64bit-ubuntu_8.04.4_lts-x86_64-Linux/ local/lib/python2.6/site-packages/scipy/io/array_import.py in module() 25 26 # Local imports. --- 27 import numpyio 28 29 default = None ImportError: No module named numpyio -- 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 URL: http://www.sagemath.org
[sage-support] Root locus plots
Hi, I wonder if it is possible to do root locus plots in sage? The root locus plot of a complex function is basically the zero locus of the imaginary part but it should be equipped with various markings. Regards, Michel -- 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 URL: http://www.sagemath.org
[sage-support] losing notebook access in VirtualBox
I've experienced several times now losing access to the Sage notebook files I've created using VirtualBox. After a period of smooth use, I might try again to open Firefox from within VirtualBox, and I'll be greeted with the message Firefox can't establish a connection to the server at localhost:8000. When I get that message, I also cannot access those Notebook files with the usual Firefox under Windows, nor with any other browser. I am able to re-import the Sage appliance, and I can get myself up and running again with a new set of Notebook files, but I seem to have lost access to the first set. They must still exist - but how to access them? I'm wondering if the problem could have anything to do with using the Virtual Firefox to go online? From within VirtualBox I had Notebook open both locally and online in order to easily transfer files. So far it has always been after doing that that the message appears on the next attempt to open Notebook from within VirtualBox. Thanks, Michel -- 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 URL: http://www.sagemath.org
[sage-support] Re: Plotting....
Thanks for the reply. But no. The problem is not due to the fact that the function has a singularity. Indeed. plot(20*log(abs((1+I*x)^4),10),(x,0,3)) fails with the same error which is incomprehensible to me. On the other hand turning the expression into a lambda function made it possible to plot it. Thanks for this practical advice. I wish someone could explain this rationally to me. 20*log(abs((1+I*x)^4),10) seems to be a perfectly fine symbolic expression so IMHO it should be possible to plot it. -- 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 URL: http://www.sagemath.org
[sage-support] Plotting....
I never have any luck with plotting in Sage. The simplest plots fail. For example the following plot(20*log(abs((1+I*x)^4+4),10),(x,0,3)) fails with TypeError: float() argument must be a string or a number I don't see what's wrong with it. -- 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 URL: http://www.sagemath.org
[sage-support] Problems with Graphs
I am trying to use the Graph functionality in sage but it does not quite work. I do G=DiGraph({0: {2: '3*x^2'}, 1: {0: '3/x'}, 2: {1: '6*x^2'}}) G.show() A pgn viewer pops up showing the graph indeed. However: (a) The vertex labels are cropped. (b) No edge labels are shown. Am I doing something wrong? This Sage 4.2.1. Freshly compiled from source on Ubuntu 9.04. -- 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 URL: http://www.sagemath.org
[sage-support] Problems with Graphs
I am trying to use the Graph functionality in sage but it does not quite work. I do G=DiGraph({0: {2: '3*x^2'}, 1: {0: '3/x'}, 2: {1: '6*x^2'}}) G.show() A pgn viewer pops up showing the graph indeed. However: (a) The vertex labels are cropped. (b) No edge labels are shown. Am I doing something wrong? This Sage 4.2.1. Freshly compiled from source on Ubuntu 9.04. -- 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 URL: http://www.sagemath.org
[sage-support] Problems with Graphs
I am trying to use the Graph functionality in sage but it does not quite work. I do G=DiGraph({0: {2: '3*x^2'}, 1: {0: '3/x'}, 2: {1: '6*x^2'}}) G.show() A pgn viewer pops up showing the graph indeed. However: (a) The vertex labels are cropped. (b) No edge labels are shown. Am I doing something wrong? This Sage 4.2.1. Freshly compiled from source on Ubuntu 9.04. -- 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 URL: http://www.sagemath.org
Re: Fwd: [sage-support] Problems with Graphs
Thank you! With these options I get decent looking graphs. On Nov 21, 2:19 am, William Stein wst...@gmail.com wrote: -- Forwarded message -- From: Kazuo Thow kazuo.t...@gmail.com Date: Fri, Nov 20, 2009 at 2:17 PM Subject: Re: [sage-support] Problems with Graphs To: William Stein wst...@gmail.com Cc: Kevin Clark kevinclark...@gmail.com Michel, There's an option in the plot() function, edge_labels, which is set to False by default. If you use G=DiGraph({0:{2:'3*x^2'}, 1:{0:'3/x'}, 2:{1:'6*x^2'}}) G.plot(edge_labels=True) then your graph should display properly with all its edge labels. You can also change the colors of the edges to make the labels stand out better against their background: G.plot(edge_labels=True, edge_colors='#dd') And of course, '#dd' can be replaced by any hexadecimal code you want. You can see more options like these by typing G.plot?. As for the vertex labels being cut off, setting graph_border=True will give enough padding around the border of the image. Kevin Clark recently implemented a better fix for this issue, but I don't know if it's included in most recent release. (It's definitely not included in the online version at sagenb.org.) Hope that helps, Kazuo On Fri, Nov 20, 2009 at 12:51 PM, William Stein wst...@gmail.com wrote: One of you guys could answer this poor user's support request... -- Forwarded message -- From: Michel vdbe...@gmail.com Date: Fri, Nov 20, 2009 at 12:48 PM Subject: [sage-support] Problems with Graphs To: sage-support sage-support@googlegroups.com I am trying to use the Graph functionality in sage but it does not quite work. I do G=DiGraph({0: {2: '3*x^2'}, 1: {0: '3/x'}, 2: {1: '6*x^2'}}) G.show() A pgn viewer pops up showing the graph indeed. However: (a) The vertex labels are cropped. (b) No edge labels are shown. Am I doing something wrong? This Sage 4.2.1. Freshly compiled from source on Ubuntu 9.04. -- 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 URL:http://www.sagemath.org -- William Stein Associate Professor of Mathematics University of Washington http://wstein.org -- 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 URL: http://www.sagemath.org
Re: Fwd: [sage-support] Problems with Graphs
Unfortunately the default graphs turn out to be too small for the size of the labels Is there a canonical way to draw a Graph at (say) twice the default size while retaining the size of the edge labels? I noticed that there is a 'dpi' option for the associate plot object but that changes the size of the edge labels as well. So there is no gain. Setting the 'fontsize' option appears to have no effect on the edge_labels. Thx. -- 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 URL: http://www.sagemath.org
[sage-support] Error gnome launching SAGE
PC emachine Fedora 11 Sage 4.1.1 fedora 10 Gconf is installed t(he precompiled version on the sage's site typed sage then notebook() had to type a password for the admin. Done said to connect web braowser to http://8000 nothing in the browser and that on the terminal : /home/bilou/Téléchargement/sage/local/lib/python2.6/site-packages/twisted/persisted/sob.py:12: DeprecationWarning: the md5 module is deprecated; use hashlib instead import os, md5, sys 2009-10-03 12:00:05+0200 [-] Log opened. 2009-10-03 12:00:06+0200 [-] twistd 8.2.0 (/home/bilou/Téléchargement/sage/local/bin/python 2.6.2) starting up. 2009-10-03 12:00:06+0200 [-] reactor class: twisted.internet.selectreactor.SelectReactor. 2009-10-03 12:00:06+0200 [-] twisted.web2.channel.http.HTTPFactory starting on 8000 2009-10-03 12:00:06+0200 [-] Starting factory twisted.web2.channel.http.HTTPFactory instance at 0x69fe680 Erreur GConf : Le contact du serveur de configuration a échoué ; causes possibles : vous n'avez pas activé le réseau TCP/IP pour ORBit ou des verrous NFS non valides existent suite à un blocage du système. Voir http://www.gnome.org/projects/gconf/ pour plus d'informations. (Détails - 1: La connexion à la session a échoué : Did not receive a reply. Possible causes include: the remote application did not send a reply, the message bus security policy blocked the reply, the reply timeout expired, or the network connection was broken.) Erreur GConf : Le contact du serveur de configuration a échoué ; causes possibles : vous n'avez pas activé le réseau TCP/IP pour ORBit ou des verrous NFS non valides existent suite à un blocage du système. Voir http://www.gnome.org/projects/gconf/ pour plus d'informations. (Détails - 1: La connexion à la session a échoué : Did not receive a reply. Possible causes include: the remote application did not send a reply, the message bus security policy blocked the reply, the reply timeout expired, or the network connection was broken.) Erreur à l'affichage de l'URL : Opération non prise en charge tried : http://defindit.com/readme_files/gconfd_http_launch_howto.html but the file : .gconf/desktop/gnome/url-handlers/http/%gconf.xml is empty on my machine -- Michel Billard 60 avenue Dauphine 45100 Orléans Vanitas vanitatum, et omnia vanitas. http://sibylle.ouvaton.org http://poeticopedia.ouvaton.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 URL: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Error gnome launching SAGE
Yes it works with http://localhost:8000, but the message of sage, when you type ./sage is: http:8000 I do not understand french error messages, but what about http://localhost:8000 and http://127.0.0.1:8000 Is the sage notebook there? btw: the french messages are probably not from sage Robert Marik On 3 Å™Ãj, 12:40, Michel Barthélémy Billard Sirakawa bi...@ouvaton.org wrote: PC emachine Fedora 11 Sage 4.1.1 fedora 10 Gconf is installed t(he precompiled version on the sage's site typed sage then notebook() had to type a password for the admin. Done said to connect web braowser tohttp://8000 nothing in the browser and that on the terminal : /home/bilou/Téléchargement/sage/local/lib/python2.6/site-packages/twisted/persisted/sob.py:12: DeprecationWarning: the md5 module is deprecated; use hashlib instead  import os, md5, sys 2009-10-03 12:00:05+0200 [-] Log opened. 2009-10-03 12:00:06+0200 [-] twistd 8.2.0 (/home/bilou/Téléchargement/sage/local/bin/python 2.6.2) starting up. 2009-10-03 12:00:06+0200 [-] reactor class: twisted.internet.selectreactor.SelectReactor. 2009-10-03 12:00:06+0200 [-] twisted.web2.channel.http.HTTPFactory starting on 8000 2009-10-03 12:00:06+0200 [-] Starting factory twisted.web2.channel.http.HTTPFactory instance at 0x69fe680 Erreur GConf : Le contact du serveur de configuration a échoué ; causes possibles : vous n'avez pas activé le réseau TCP/IP pour ORBit ou des verrous NFS non valides existent suite à un blocage du système. Voirhttp://www.gnome.org/projects/gconf/pour plus d'informations. (Détails - 1: La connexion à la session a échoué : Did not receive a reply. Possible causes include: the remote application did not send a reply, the message bus security policy blocked the reply, the reply timeout expired, or the network connection was broken.) Erreur GConf : Le contact du serveur de configuration a échoué ; causes possibles : vous n'avez pas activé le réseau TCP/IP pour ORBit ou des verrous NFS non valides existent suite à un blocage du système. Voirhttp://www.gnome.org/projects/gconf/pour plus d'informations. (Détails - 1: La connexion à la session a échoué : Did not receive a reply. Possible causes include: the remote application did not send a reply, the message bus security policy blocked the reply, the reply timeout expired, or the network connection was broken.) Erreur à l'affichage de l'URL : Opération non prise en charge tried :http://defindit.com/readme_files/gconfd_http_launch_howto.html but the file : .gconf/desktop/gnome/url-handlers/http/%gconf.xml is empty on my machine -- Michel Billard 60 avenue Dauphine 45100 Orléans Vanitas vanitatum, et omnia vanitas. http://sibylle.ouvaton.orghttp://poeticopedia.ouvaton.org -- Michel Billard 60 avenue Dauphine 45100 Orléans Vanitas vanitatum, et omnia vanitas. http://sibylle.ouvaton.org http://poeticopedia.ouvaton.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 URL: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] strange lab behavior
Hi, I'm a high school math teacher experimenting with getting students to use SAGE. I've been successful in getting my students to open their own notebook accounts. I took my classes to the computer lab one day, and during the session the kids started experiencing other names on their accounts. The names were all from our class. No one had access to anyone else's files, but suddenly the account name would shift to someone else's. And then yesterday in my regular classroom while I was demoing SAGE, suddenly the name on my account changed to that of one of my students. She was not in class that period, and I have to check to see if maybe she was using SAGE somewhere else on campus at that time. It was all very mysterious, and so I checked it out with our tech guy. I was wondering if the issue was our network. His response was, I wonder if technically we’re seen as just a singular IP address (which is our proxy). Because, everyone is using the same proxy (thus same IP) to access this website. So even though everyone is making an individual login, it’s all going through the same IP address. Any ideas as to what's happening? Thanks very much, Michel Paul --~--~-~--~~~---~--~~ 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: strange lab behavior
Yes, we are using sagenb.org. I actually talked to our tech guy at one point about creating a local SAGE server for our school, and he thought he could probably do it, but he's just been swamped. But I noticed that sagenb has really become pretty smooth over the last year or so, so I went ahead and had the kids create accounts. On Sep 23, 9:08 am, Marshall Hampton hampto...@gmail.com wrote: Although I am not a network guru, it sounds like your tech guy is right and the proxy server is causing the trouble. I don't know how you would fix that, but maybe someone else on this list does. There is an upcoming rewrite of the notebook-server implementation that might help with this but William Stein would have to confirm that. Are you using sagenb.org? -M. Hampton On Sep 23, 7:06 am, michel mpaul...@gmail.com wrote: Hi, I'm a high school math teacher experimenting with getting students to use SAGE. I've been successful in getting my students to open their own notebook accounts. I took my classes to the computer lab one day, and during the session the kids started experiencing other names on their accounts. The names were all from our class. No one had access to anyone else's files, but suddenly the account name would shift to someone else's. And then yesterday in my regular classroom while I was demoing SAGE, suddenly the name on my account changed to that of one of my students. She was not in class that period, and I have to check to see if maybe she was using SAGE somewhere else on campus at that time. It was all very mysterious, and so I checked it out with our tech guy. I was wondering if the issue was our network. His response was, I wonder if technically we’re seen as just a singular IP address (which is our proxy). Because, everyone is using the same proxy (thus same IP) to access this website. So even though everyone is making an individual login, it’s all going through the same IP address. Any ideas as to what's happening? Thanks very much, Michel Paul --~--~-~--~~~---~--~~ 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: Logarithmic integral at complex values?
Ok it seems that li(x)=Ei(log(x)) and this works for complex values. Furthermore Li(x)=li(x)-li(2). It seems that Li(x) has been artificially curtailed to take only real arguments. Michel On Nov 2, 3:00 pm, Michel [EMAIL PROTECTED] wrote: Hi, Is there a method in sage to compute Li(z) for z complex? I am trying to illustrate Riemann prime number formula but now it seems Li(z) accept only real arguments. Michel --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Question about Plot
I would like to make a simple 2D plot of a function. However I cannot figure out from the manual how to specify the frequency of the tick marks. Currently they seem to be multiples of 2.5 and I would like them to be multiples of 1.0. Any help? Regards, Michel --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Does sage support transcendental base rings?
Hi, In need to do some Grobner basis computations in rings of the form QQ(a,b,...)[x,y,z,]. It is possible to define such rings in Singular. However I am afraid that if I define them in sage in the usual iterative way R=QQ['a','b','c'] K=FractionField(R) S=K['x','y','z'] I will not get the Singular optimized version. Is this true? Is there syntax so that one uses the Singular version? Regards, Michel --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Mysterious problem.
which sage gives /usr/bin/sage which is the usual script which sets SAGE_ROOT (/usr/local/share/sage-2.10.4 in this case) and calls /usr/local/share/sage-2.10.4/local/bin/sage-sage. Things like env SAGE_ROOT=/usr/local/share/sage-2.10.4 /usr/local/share/ sage-2.10.4/local/bin/sage-sage -singular give the error message reported earlier Singular-3-0-4: /lib/libgcc_s.so.1: version `GCC_4.2.0' not found (required by l ibstdc++.so.6) unless executed from /usr/local/share/sage-2.10.4. Afterwards the command continues to work in in the same shell, even in another directory. How does sage finds it .so files? Because I think that is the problem. Michel On Mar 27, 6:11 am, William Stein [EMAIL PROTECTED] wrote: On Wed, 26 Mar 2008 15:36:14 -0700, Michel [EMAIL PROTECTED] wrote: I have a fresh sage-2.10.4 install (compiled from source). I have done make install and install_scripts. If I do sage -singular I get Is the output of which sage the sage script that is in you SAGE_ROOT directory mentioned below? Singular-3-0-4: /lib/libgcc_s.so.1: version `GCC_4.2.0' not found (required by libstdc++.so.6) If I go once to the SAGE_ROOT directory and do the same command there then suddenly it works. SINGULAR / Development A Computer Algebra System for Polynomial Computations / version 3-0-4 0 by: G.-M. Greuel, G. Pfister, H. Schoenemann\ Nov 2007 FB Mathematik der Universitaet, D-67653 Kaiserslautern\ Moreover the command now also works in another directory, IN THE SAME SHELL. In a different shell I get the error message again. I think sometimes sage picks up the system wide libgcc_s.so.1 instead of its own copy. Any help in resolving this would be appreciated. My system is FC4. Michelstein.org --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Quadraitic forms in Sage.
Hi is there a way to work with quadratic forms in Sage? The manual does not mention them. Regards, Miche --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://sage.math.washington.edu/sage/ and http://sage.scipy.org/sage/ -~--~~~~--~~--~--~---
[sage-support] Re: echelon form
Ok I understand!! I just did the exercise in the pari console. ? A=[0,0,0; 0,0,0; 0,0,0] %3 = [0 0 0] [0 0 0] [0 0 0] ? mathnf(A) %4 = [;] So pari is a bit brain damaged and represents the empty matrix by [;]!!! This should be special cased in the parsing routines. William: I assume it is now trivial for you to correct this. If not then I will make a patch. Michel On Jun 2, 9:54 am, Michel [EMAIL PROTECTED] wrote: It's quite confusing where this bug lies. I would assume that sage.libs.pari.gen.gen.mathnf returns the wrong thing but since I can't find the definition of new_gen I can't debug it further. Michel On Jun 1, 10:55 pm, Michel [EMAIL PROTECTED] wrote: No patch but I can tell you were there is something obviously wrong. The matrix H on line 1056 in matrix_integer_dense.pyx should be the empty matrix (perhaps []?) but it is something like ['','']. The computation for adding the missing zero rows goes wrong after that. Michel On Jun 1, 9:34 pm, William Stein [EMAIL PROTECTED] wrote: On 6/1/07, Thea Gegenberg [EMAIL PROTECTED] wrote: The method echelon_form gives me an error when I try to take the echelon form of a zero matrix. It says TypeError: entries has the wrong length Here's an example to illustrate the bug. I hope somebody will fix it and send me a patch :-). sage: m = matrix(ZZ,3,3,[0]*9) sage: m.ech m.echelon_form m.echelonize sage: m.echelon() --- type 'exceptions.AttributeError'Traceback (most recent call last) /home/was/talks/2007-06-01-grants/ipython console in module() type 'exceptions.AttributeError': 'sage.matrix.matrix_integer_dense.Matrix_integer_de' object has no attribute 'echelon' sage: m.echelon_form() --- type 'exceptions.TypeError' --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://sage.math.washington.edu/sage/ and http://sage.scipy.org/sage/ -~--~~~~--~~--~--~---
[sage-support] Re: echelon form
Here is a patch that fixes this. Perhaps there is a better way to do it. http://emis.uhasselt.be/sage_patches/zero_matrix_echelon_form_bug.patch Michel On Jun 2, 10:01 am, Michel [EMAIL PROTECTED] wrote: Ok I understand!! I just did the exercise in the pari console. ? A=[0,0,0; 0,0,0; 0,0,0] %3 = [0 0 0] [0 0 0] [0 0 0] ? mathnf(A) %4 = [;] So pari is a bit brain damaged and represents the empty matrix by [;]!!! This should be special cased in the parsing routines. William: I assume it is now trivial for you to correct this. If not then I will make a patch. Michel On Jun 2, 9:54 am, Michel [EMAIL PROTECTED] wrote: It's quite confusing where this bug lies. I would assume that sage.libs.pari.gen.gen.mathnf returns the wrong thing but since I can't find the definition of new_gen I can't debug it further. Michel On Jun 1, 10:55 pm, Michel [EMAIL PROTECTED] wrote: No patch but I can tell you were there is something obviously wrong. The matrix H on line 1056 in matrix_integer_dense.pyx should be the empty matrix (perhaps []?) but it is something like ['','']. The computation for adding the missing zero rows goes wrong after that. Michel On Jun 1, 9:34 pm, William Stein [EMAIL PROTECTED] wrote: On 6/1/07, Thea Gegenberg [EMAIL PROTECTED] wrote: The method echelon_form gives me an error when I try to take the echelon form of a zero matrix. It says TypeError: entries has the wrong length Here's an example to illustrate the bug. I hope somebody will fix it and send me a patch :-). sage: m = matrix(ZZ,3,3,[0]*9) sage: m.ech m.echelon_form m.echelonize sage: m.echelon() --- type 'exceptions.AttributeError'Traceback (most recent call last) /home/was/talks/2007-06-01-grants/ipython console in module() type 'exceptions.AttributeError': 'sage.matrix.matrix_integer_dense.Matrix_integer_de' object has no attribute 'echelon' sage: m.echelon_form() --- type 'exceptions.TypeError' --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://sage.math.washington.edu/sage/ and http://sage.scipy.org/sage/ -~--~~~~--~~--~--~---
[sage-support] Re: echelon form
No patch but I can tell you were there is something obviously wrong. The matrix H on line 1056 in matrix_integer_dense.pyx should be the empty matrix (perhaps []?) but it is something like ['','']. The computation for adding the missing zero rows goes wrong after that. Michel On Jun 1, 9:34 pm, William Stein [EMAIL PROTECTED] wrote: On 6/1/07, Thea Gegenberg [EMAIL PROTECTED] wrote: The method echelon_form gives me an error when I try to take the echelon form of a zero matrix. It says TypeError: entries has the wrong length Here's an example to illustrate the bug. I hope somebody will fix it and send me a patch :-). sage: m = matrix(ZZ,3,3,[0]*9) sage: m.ech m.echelon_form m.echelonize sage: m.echelon() --- type 'exceptions.AttributeError'Traceback (most recent call last) /home/was/talks/2007-06-01-grants/ipython console in module() type 'exceptions.AttributeError': 'sage.matrix.matrix_integer_dense.Matrix_integer_de' object has no attribute 'echelon' sage: m.echelon_form() --- type 'exceptions.TypeError' --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://sage.math.washington.edu/sage/ and http://sage.scipy.org/sage/ -~--~~~~--~~--~--~---
[sage-support] bizarre error in plotting
I wanted to do my first plotting experiment in sage-2.0. (on FC6) bc1 = bar_chart([1,2,3,4]) # from the manual bc1.show() (lots of debug output) type 'exceptions.ImportError': No module named _md5 What's up? Am I doing something wrong? Regards, Michel --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://sage.math.washington.edu/sage/ and http://sage.scipy.org/sage/ -~--~~~~--~~--~--~---
[sage-support] Re: bizarre error in plotting
I think I now understand the problem. A while ago I pulled over a compiled version of sage-2.0 from a FC4 to a FC6 machine. Everything seemed fine, but apparently it wasn't. Anyway I have downloaded and compiled 2.1.0.1 now. Michel On Feb 11, 1:49 pm, David Joyner [EMAIL PROTECTED] wrote: Works for me in SAGE 2.1 (suse 10.0 amd64). On 2/11/07, Michel [EMAIL PROTECTED] wrote: I wanted to do my first plotting experiment in sage-2.0. (on FC6) bc1 = bar_chart([1,2,3,4]) # from the manual bc1.show() (lots of debug output) type 'exceptions.ImportError': No module named _md5 What's up? Am I doing something wrong? Regards, Michel --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://sage.math.washington.edu/sage/ and http://sage.scipy.org/sage/ -~--~~~~--~~--~--~---
[sage-support] Re: Real points on elliptic curves
Thanks. Incidentally, at some point in the not-to-distant future, sqrt will be replaced by a symbolic version, so sqrt(2) will be symbolic. Then sqrt(2) + 1 - 1 == sqrt(2) will be true (and the equality will be tested using either Maxima or Giac). William Yes at this moment there is an unpleasant inconsistency between some functions and others. E.g. log(2) or sqrt(2) evaluate immediately, whereas sin(2) doesn't. Michel --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://sage.math.washington.edu/sage/ and http://sage.scipy.org/sage/ -~--~~~~--~~--~--~---