[sage-support] Symbol, commutative=False
Something I do not understand...
from sympy import Symbol
t=Symbol("t",commutative=True)
A=Symbol("A",commutative=False)
B=Symbol("B",commutative=False)
So, now, I do:
ee=(t*t/2)*(A+B)*(A+B)
ee.expand()
gives:
t**2*A*B/2 + t**2*A**2/2 + t**2*B*A/2 + t**2*B**2/2
which is what I was waiting for...
Now, do:
ee=1+t*(A+B)+(t*t/2)*(A+B)*(A+B)
I get:
1/2*A^2*t^2 + A*B*t^2 + 1/2*B^2*t^2 + A*t + B*t + 1
Which is not what I was waiting for!
It looks like if A*B is considered as B*A in the second case!
My Sage version is : 5.9.
t.d.
--
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 post to this group, send email to sage-support@googlegroups.com.
Visit this group at http://groups.google.com/group/sage-support.
For more options, visit https://groups.google.com/groups/opt_out.
<>
Re: [sage-support] Re: The results of some integration test.
> I have put the test suite in a Sage worksheet and added some comments. > I have moved the worksheet. It is now the public project 'CharlwoodFifty' at https://cloud.sagemath.com/ Unfortunately I do not know how to give a link to this project. Peter -- 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 post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
Re: [sage-support] The results of some integration test.
Interesting experiment. Your methodology for "diffs back" assumes correctly computing the derivative and correctly comparing symbolic expressions and for the latter counterexamples are known [1] bool( sqrt((a+b)^2) == sqrt(a^2) + sqrt(b^2) ) True btw, I get: 'sage.rings.complex_interval.ComplexIntervalFieldElement' object has no attribute 'cot' when trying your |check| on this: -arctan(cot(pi*x))/pi + 1/2 #fractional part of x [1] http://comments.gmane.org/gmane.comp.mathematics.sage.support/32115 On Wed, Sep 04, 2013 at 10:01:07AM -0700, Peter Luschny wrote: > Recently two integration test suites were discussed at sci.math.symbolic > [1], [2]. > > I executed the tests with Sage and put the results on my webpage [3]. > Not all results are favorable for Sage. Maybe this is worth to be > noted by some Sage developers. > > Peter > > [1] > https://groups.google.com/d/msg/sci.math.symbolic/UB0udwILOSw/msxc57stRM8J > [2] > https://groups.google.com/d/msg/sci.math.symbolic/D9W45zQTY3U/nIxsBZ-4RasJ > [3] http://luschny.de/math/quad/IntegralTestsSage.html > > -- > 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 post to this group, send email to sage-support@googlegroups.com. > Visit this group at http://groups.google.com/group/sage-support. > For more options, visit https://groups.google.com/groups/opt_out. -- 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 post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
[sage-support] Trouble saving graphics
I'm using Sage 5.11 on a Mac
I've been used to creating graphs and then saving them as PDF's for
inclusion in papers. Using code like this:
sage: g = graphs.PetersenGraph()
sage: pic = g.plot()
sage: pic.save('pete.pdf')
But now it just throws a bunch of errors:
---
AssertionErrorTraceback (most recent call last)
in ()
> 1 pic.save('pete.pdf')
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/sage/misc/decorators.pyc
in wrapper(*args, **kwds)
456 kwds[self.name + "options"] = suboptions
457
--> 458 return func(*args, **kwds)
459
460 #Add the options specified by @options to the signature of
the wrapped
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/sage/plot/graphics.pyc
in save(self, filename, **kwds)
2753 figure.savefig(filename, dpi=dpi,
bbox_inches='tight',
2754 bbox_extra_artists=self._bbox_extra_artists,
-> 2755 transparent=transparent)
2756 else:
2757 figure.savefig(filename, dpi=dpi,
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/figure.pyc
in savefig(self, *args, **kwargs)
1368 kwargs.setdefault('edgecolor',
rcParams['savefig.edgecolor'])
1369
-> 1370 self.canvas.print_figure(*args, **kwargs)
1371
1372 if transparent:
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/backend_bases.pyc
in print_figure(self, filename, dpi, facecolor, edgecolor, orientation,
format, **kwargs)
2053 orientation=orientation,
2054 dryrun=True,
-> 2055 **kwargs)
2056 renderer = self.figure._cachedRenderer
2057 bbox_inches = self.figure.get_tightbbox(renderer)
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/backend_bases.pyc
in print_pdf(self, *args, **kwargs)
1846 from backends.backend_pdf import FigureCanvasPdf # lazy
import
1847 pdf = self.switch_backends(FigureCanvasPdf)
-> 1848 return pdf.print_pdf(*args, **kwargs)
1849
1850 def print_pgf(self, *args, **kwargs):
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/backends/backend_pdf.py
in print_pdf(self, filename, **kwargs)
2299 width, height, image_dpi,
RendererPdf(file, image_dpi),
2300
bbox_inches_restore=_bbox_inches_restore)
-> 2301 self.figure.draw(renderer)
2302 renderer.finalize()
2303 finally:
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/artist.pyc
in draw_wrapper(artist, renderer, *args, **kwargs)
52 def draw_wrapper(artist, renderer, *args, **kwargs):
53 before(artist, renderer)
---> 54 draw(artist, renderer, *args, **kwargs)
55 after(artist, renderer)
56
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/figure.pyc
in draw(self, renderer)
1004 dsu.sort(key=itemgetter(0))
1005 for zorder, a, func, args in dsu:
-> 1006 func(*args)
1007
1008 renderer.close_group('figure')
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/artist.pyc
in draw_wrapper(artist, renderer, *args, **kwargs)
52 def draw_wrapper(artist, renderer, *args, **kwargs):
53 before(artist, renderer)
---> 54 draw(artist, renderer, *args, **kwargs)
55 after(artist, renderer)
56
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/axes.pyc
in draw(self, renderer, inframe)
2084
2085 for zorder, a in dsu:
-> 2086 a.draw(renderer)
2087
2088 renderer.close_group('axes')
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/artist.pyc
in draw_wrapper(artist, renderer, *args, **kwargs)
52 def draw_wrapper(artist, renderer, *args, **kwargs):
53 before(artist, renderer)
---> 54 draw(artist, renderer, *args, **kwargs)
55 after(artist, renderer)
56
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/collections.pyc
in draw(self, renderer)
693 (np.sqrt(x) * self.figure.dpi / 72.0))
694 for x in self._sizes]
--> 695 return Collection.draw(self, renderer)
696
697 class PolyCollection(Collection):
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/artist.pyc
in draw_wrapper(artist, renderer, *args, **kwargs)
52 def draw_wrapper(artist, renderer, *args, **kwargs):
53 before(artist, renderer)
---> 54 draw(artist, renderer, *arg
Re: [sage-support] The results of some integration test.
>Your methodology for "diffs back" assumes >correctly computing the derivative and correctly >comparing symbolic expressions and for the latter >counterexamples are known Yes. This is just an indicator of possible problems, nothing more. "diffs back" checks f == 0 which is incorrect a priori, it should be f == c for some constant. (See for example problem(24).) But as a warning lamp for the reviewer it works quite well. > 'sage.rings.complex_interval.ComplexIntervalFieldElement' > object has no attribute 'cot' There are many similar errors of this kind. I have been told that they reflect some other Sage bug not related to integration. The most weird thing I observed occurs in connection with Charlwood's problem 8. Sometimes Sage quits with an RuntimeError and sometimes Sage returns a monster solution. Indefinite integration by a Monte Carlo method? Something for the Journal of Irreproducible Results ;-) Peter -- 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 post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
[sage-support] Re: Trouble saving graphics
It seems saving to pdf is broken on sage-5.10 onwards. Works till
sage-5.9. The problem is only in graphs. Normal plots work fine.
I have opened http://trac.sagemath.org/ticket/15173 to track this.
On 09/07/2013 09:06 PM, Ed Scheinerman wrote:
I'm using Sage 5.11 on a Mac
I've been used to creating graphs and then saving them as PDF's for
inclusion in papers. Using code like this:
sage: g = graphs.PetersenGraph()
sage: pic = g.plot()
sage: pic.save('pete.pdf')
But now it just throws a bunch of errors:
---
AssertionErrorTraceback (most recent call last)
in ()
> 1 pic.save('pete.pdf')
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/sage/misc/decorators.pyc
in wrapper(*args, **kwds)
456 kwds[self.name + "options"] = suboptions
457
--> 458 return func(*args, **kwds)
459
460 #Add the options specified by @options to the signature
of the wrapped
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/sage/plot/graphics.pyc
in save(self, filename, **kwds)
2753 figure.savefig(filename, dpi=dpi,
bbox_inches='tight',
2754 bbox_extra_artists=self._bbox_extra_artists,
-> 2755 transparent=transparent)
2756 else:
2757 figure.savefig(filename, dpi=dpi,
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/figure.pyc
in savefig(self, *args, **kwargs)
1368 kwargs.setdefault('edgecolor',
rcParams['savefig.edgecolor'])
1369
-> 1370 self.canvas.print_figure(*args, **kwargs)
1371
1372 if transparent:
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/backend_bases.pyc
in print_figure(self, filename, dpi, facecolor, edgecolor, orientation,
format, **kwargs)
2053 orientation=orientation,
2054 dryrun=True,
-> 2055 **kwargs)
2056 renderer = self.figure._cachedRenderer
2057 bbox_inches = self.figure.get_tightbbox(renderer)
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/backend_bases.pyc
in print_pdf(self, *args, **kwargs)
1846 from backends.backend_pdf import FigureCanvasPdf # lazy
import
1847 pdf = self.switch_backends(FigureCanvasPdf)
-> 1848 return pdf.print_pdf(*args, **kwargs)
1849
1850 def print_pgf(self, *args, **kwargs):
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/backends/backend_pdf.py
in print_pdf(self, filename, **kwargs)
2299 width, height,
image_dpi, RendererPdf(file, image_dpi),
2300
bbox_inches_restore=_bbox_inches_restore)
-> 2301 self.figure.draw(renderer)
2302 renderer.finalize()
2303 finally:
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/artist.pyc
in draw_wrapper(artist, renderer, *args, **kwargs)
52 def draw_wrapper(artist, renderer, *args, **kwargs):
53 before(artist, renderer)
---> 54 draw(artist, renderer, *args, **kwargs)
55 after(artist, renderer)
56
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/figure.pyc
in draw(self, renderer)
1004 dsu.sort(key=itemgetter(0))
1005 for zorder, a, func, args in dsu:
-> 1006 func(*args)
1007
1008 renderer.close_group('figure')
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/artist.pyc
in draw_wrapper(artist, renderer, *args, **kwargs)
52 def draw_wrapper(artist, renderer, *args, **kwargs):
53 before(artist, renderer)
---> 54 draw(artist, renderer, *args, **kwargs)
55 after(artist, renderer)
56
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/axes.pyc
in draw(self, renderer, inframe)
2084
2085 for zorder, a in dsu:
-> 2086 a.draw(renderer)
2087
2088 renderer.close_group('axes')
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/artist.pyc
in draw_wrapper(artist, renderer, *args, **kwargs)
52 def draw_wrapper(artist, renderer, *args, **kwargs):
53 before(artist, renderer)
---> 54 draw(artist, renderer, *args, **kwargs)
55 after(artist, renderer)
56
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/collections.pyc
in draw(self, renderer)
693 (np.sqrt(x) * self.figure.dpi / 72.0))
694 for x in self._sizes]
--> 695 return Collection.draw(self, renderer)
696
697 class PolyCollection(Collection):
/Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib
[sage-support] autoeval in sagecell
I am wondering why only the first cell in the following is automatically evaluated: http://people.reed.edu/~davidp/211/sage/sagecell/tangent_plane.html I have autoeval set to 'True' and notice that if I add 1+1 at the end, it is automatically evaluated. Thanks in advance for any suggestions. -- 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 post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
[sage-support] Problems with cell not refreshing in notebook
I am using Mac OS 10.8 and Sage 5.11 in a browser (Safari or Chrome). I recently noticed that whenever I do a calculation in a notebook, and hit shift-enter, nothing happens (green line at the left, no output). After some experimentation, I found that refreshing the browser (command-R) solves the problem. However, it is quite annoying, and it compromises using interactives, which I do all the time in my classes. Now when I change an interactive input value, the display will not change until I also hit command-R. I have no idea why this is happening. I had not used Sage in some time before this happened. Doesn't matter if I use Safari or Chrome, but no problems when in Terminal mode. -- 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 post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
Re: [sage-support] Sage installation
On Sep 2, 2013, at 7:32 AM, kcrisman wrote: > On Monday, September 2, 2013 9:12:33 AM UTC-4, arshpreet singh wrote: > On Mon, Sep 2, 2013 at 5:05 PM, casper sky wrote: > Hello, I want to know that can I install Sage on my iPad as I'm using it on > my mac ? > > yes you can see the link below: > > https://itunes.apple.com/in/app/sage-math/id496492945?mt=8 > > But note that this is not a full Sage installation; it is a service that uses > sagecell.sagemath.org , so the limits of that service in terms of computation > length etc. would apply. Indeed. You can also just use Safari to access a "normal" sage notebook server [1], and then create a shortcut for it. It should be theoretically be possible to install Sage itself on the iPad, but AFAIK no one has done it yet. I suspect it is somewhat difficult. And distributing it via the app store may not be possible due Apple's restrictions on interpreted languages. -Ivan [1] e.g. http://sagenb.org or http://cloud.sagemath.org -- 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 post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
[sage-support] Re: Trouble saving graphics
I found a temporary workaround. Save as .eps (which works fine) and then
use epstopdf to convert to .pdf.
On Saturday, September 7, 2013 12:01:40 PM UTC-4, P Purkayastha wrote:
>
> It seems saving to pdf is broken on sage-5.10 onwards. Works till
> sage-5.9. The problem is only in graphs. Normal plots work fine.
>
> I have opened http://trac.sagemath.org/ticket/15173 to track this.
>
> On 09/07/2013 09:06 PM, Ed Scheinerman wrote:
> > I'm using Sage 5.11 on a Mac
> >
> > I've been used to creating graphs and then saving them as PDF's for
> > inclusion in papers. Using code like this:
> >
> > sage: g = graphs.PetersenGraph()
> > sage: pic = g.plot()
> > sage: pic.save('pete.pdf')
> >
> > But now it just throws a bunch of errors:
> >
> >
> ---
> > AssertionErrorTraceback (most recent call
> last)
> > in ()
> > > 1 pic.save('pete.pdf')
> >
> >
> /Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/sage/misc/decorators.pyc
>
>
> > in wrapper(*args, **kwds)
> > 456 kwds[self.name + "options"] = suboptions
> > 457
> > --> 458 return func(*args, **kwds)
> > 459
> > 460 #Add the options specified by @options to the signature
> > of the wrapped
> >
> >
> /Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/sage/plot/graphics.pyc
>
>
> > in save(self, filename, **kwds)
> > 2753 figure.savefig(filename, dpi=dpi,
> > bbox_inches='tight',
> > 2754
> bbox_extra_artists=self._bbox_extra_artists,
> > -> 2755 transparent=transparent)
> > 2756 else:
> > 2757 figure.savefig(filename, dpi=dpi,
> >
> >
> /Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/figure.pyc
>
>
> > in savefig(self, *args, **kwargs)
> > 1368 kwargs.setdefault('edgecolor',
> > rcParams['savefig.edgecolor'])
> > 1369
> > -> 1370 self.canvas.print_figure(*args, **kwargs)
> > 1371
> > 1372 if transparent:
> >
> >
> /Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/backend_bases.pyc
>
>
> > in print_figure(self, filename, dpi, facecolor, edgecolor, orientation,
> > format, **kwargs)
> > 2053 orientation=orientation,
> > 2054 dryrun=True,
> > -> 2055 **kwargs)
> > 2056 renderer = self.figure._cachedRenderer
> > 2057 bbox_inches =
> self.figure.get_tightbbox(renderer)
> >
> >
> /Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/backend_bases.pyc
>
>
> > in print_pdf(self, *args, **kwargs)
> > 1846 from backends.backend_pdf import FigureCanvasPdf # lazy
> > import
> > 1847 pdf = self.switch_backends(FigureCanvasPdf)
> > -> 1848 return pdf.print_pdf(*args, **kwargs)
> > 1849
> > 1850 def print_pgf(self, *args, **kwargs):
> >
> >
> /Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/backends/backend_pdf.py
>
>
> > in print_pdf(self, filename, **kwargs)
> > 2299 width, height,
> > image_dpi, RendererPdf(file, image_dpi),
> > 2300
> > bbox_inches_restore=_bbox_inches_restore)
> > -> 2301 self.figure.draw(renderer)
> > 2302 renderer.finalize()
> > 2303 finally:
> >
> >
> /Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/artist.pyc
>
>
> > in draw_wrapper(artist, renderer, *args, **kwargs)
> > 52 def draw_wrapper(artist, renderer, *args, **kwargs):
> > 53 before(artist, renderer)
> > ---> 54 draw(artist, renderer, *args, **kwargs)
> > 55 after(artist, renderer)
> > 56
> >
> >
> /Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/figure.pyc
>
>
> > in draw(self, renderer)
> > 1004 dsu.sort(key=itemgetter(0))
> > 1005 for zorder, a, func, args in dsu:
> > -> 1006 func(*args)
> > 1007
> > 1008 renderer.close_group('figure')
> >
> >
> /Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/artist.pyc
>
>
> > in draw_wrapper(artist, renderer, *args, **kwargs)
> > 52 def draw_wrapper(artist, renderer, *args, **kwargs):
> > 53 before(artist, renderer)
> > ---> 54 draw(artist, renderer, *args, **kwargs)
> > 55 after(artist, renderer)
> > 56
> >
> >
> /Users/ers/share/sage-5.11/local/lib/python2.7/site-packages/matplotlib/axes.pyc
>
>
> > in draw(self, renderer, inframe)
> > 2084
> > 2085 for zorder, a in dsu:
> > -> 2086 a.draw(renderer)
> > 2087
> > 2088 rende
[sage-support] Re: autoeval in sagecell
On 9/7/13 11:30 AM, davidp wrote: I am wondering why only the first cell in the following is automatically evaluated: http://people.reed.edu/~davidp/211/sage/sagecell/tangent_plane.html I have autoeval set to 'True' and notice that if I add 1+1 at the end, it is automatically evaluated. Thanks in advance for any suggestions. It looks like a bug is lurking somewhere. I'll try to look at this soon (hopefully next week). I've filed this at https://github.com/sagemath/sagecell/issues/428 Thanks, Jason -- 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 post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
