[sage-support] Re: numpy.sin() problem
Hi, thanks for your answers. Now i see whats the problem. One more question. I mainly use numpy,scipy,f2py,cython from sage instead of python+numpy+scipy. Is it reasonable to set Realnumbers=float in each session? Or will this cause new problems? volker On 1 Sep., 22:11, Joshua Kantor [EMAIL PROTECTED] wrote: Hello. I believe the issue is that earlier in the tutorial I had set sage: RealNumber=float but I didn't specify to reenter this in the section you were looking at. If you enter this before the example it will work fine. The issue is that as William indicated, if you do not do this, instead of numpy floats in x, you get sage reals which are not as fast and don't work with numpy. I will look over the tutorial, but there may be some more instances where I forgot to re-specify that this needed to be entered. You may also wish to note that I have a slightly newer version of the notes here on my webpagehttp://www.math.washington.edu/~jkantor/Numerical_Sage/Numerical_Sage... which is a bit ahead of the one in sage documentation (I need to update it). Josh On Aug 31, 1:50 pm, William [EMAIL PROTECTED] wrote: Hi, This is an issue with the preparser and numpy not playing well together. E.g., if you do this it works fine: sage: preparser(False) sage: import numpy sage: j=numpy.complex(0,1) sage: num_points=50 sage: u=numpy.zeros((num_points,num_points),dtype=float) sage: pi_c=float(pi) sage: x=numpy.r_[0.0:pi_c:num_points*j] sage: u[0,:]=numpy.sin(x) Note that the command preparser(False) isn't supported in the notebook yet. You %python or switch to python mode. In the long run we hope to improve numpy / SAGE interaction. On Aug 30, 1:03 am, legout [EMAIL PROTECTED] wrote: Hi, i´ve got the following problem on my sage installation. The folloing code fromhttp://www.math.washington.edu/~jkantor/Numerical_Sage/node11.html Didn´t work for me: import numpy j=numpy.complex(0,1) num_points=50 u=numpy.zeros((num_points,num_points),dtype=float) pi_c=float(pi) x=numpy.r_[0.0:pi_c:num_points*j] u[0,:]=numpy.sin(x) --- type 'exceptions.AttributeError'Traceback (most recent call last) /home/volker/ipython console in module() type 'exceptions.AttributeError': 'float' object has no attribute 'sin' I can use this (its the same, because sin(x[-1])=0) u[0, :-1]=numpy.sin(x[ :-1]) And using real instead of float, and everything works as aspected pi_c = real(pi) x=numpy.r_[0.0:pi_c:num_points*j] u[0,:]=numpy.sin(x) Is this a bug in sage? On my normal python + numpy session the first code runs just find. volker --~--~-~--~~~---~--~~ 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: numpy.sin() problem
On 9/3/07, legout [EMAIL PROTECTED] wrote: Hi, thanks for your answers. Now i see whats the problem. One more question. I mainly use numpy,scipy,f2py,cython from sage instead of python+numpy+scipy. Is it reasonable to set Realnumbers=float in each session? Or will this cause new problems? This should be quite reasonable. In fact, you might even just create a file $HOME/.sage/init.sage that has the line RealNumber = foat in it, so this is automatic. You might also want Integer = int William --~--~-~--~~~---~--~~ 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] Changing basis in finite fields
Dear All,
I'm new to sage and I don't know even if I'm supposed to post such
questions to this group or not. If it is a correct place:
Could you please tell me how can I change the basis in finite field
representation. As much as know sage represent the finite field
extension in:
[1, t, t^2, .., t^{n-1}]
for t being the root of irreducible polynomial used to extend the
field. I need to represent my field in normal basis (I have chosen my
irreducible polynomial such that [t, t^2, t^4 .., t^{2^{n-1}}] forms a
basis for the extension).
If it is not a correct place to ask such questions, please guide me to
the correct place.
Thank you very much for your attention and devotion of time!
Bests,
Ahmad
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[sage-support] Re: Changing basis in finite fields
This is the right place but I don't think what you want is implemented.
The commands and examples are here:
http://www.sagemath.org/doc/html/ref/module-sage.rings.finite-field.html
It would be some work but possibly you could do what you could in SAGE,
then use GAP's NormalBase command?
http://www.gap-system.org/Manuals/doc/htm/ref/CHAP056.htm#SSEC003.7
+
On 9/3/07, Ahmad [EMAIL PROTECTED] wrote:
Dear All,
I'm new to sage and I don't know even if I'm supposed to post such
questions to this group or not. If it is a correct place:
Could you please tell me how can I change the basis in finite field
representation. As much as know sage represent the finite field
extension in:
[1, t, t^2, .., t^{n-1}]
for t being the root of irreducible polynomial used to extend the
field. I need to represent my field in normal basis (I have chosen my
irreducible polynomial such that [t, t^2, t^4 .., t^{2^{n-1}}] forms a
basis for the extension).
If it is not a correct place to ask such questions, please guide me to
the correct place.
Thank you very much for your attention and devotion of time!
Bests,
Ahmad
--~--~-~--~~~---~--~~
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[sage-support] Re: Changing basis in finite fields
On 9/3/07, Ahmad [EMAIL PROTECTED] wrote:
I'm new to sage and I don't know even if I'm supposed to post such
questions to this group or not. If it is a correct place:
Could you please tell me how can I change the basis in finite field
representation. As much as know sage represent the finite field
extension in:
[1, t, t^2, .., t^{n-1}]
for t being the root of irreducible polynomial used to extend the
field. I need to represent my field in normal basis (I have chosen my
irreducible polynomial such that [t, t^2, t^4 .., t^{2^{n-1}}] forms a
basis for the extension).
If it is not a correct place to ask such questions, please guide me to
the correct place.
Thank you very much for your attention and devotion of time!
Here is an example session in which I create a finite field,
find a normal basis, then explicitly represent elements in
terms of it (by pushing everything over to vector spaces).
I have to define two functions below in order to
do this. If people think something like this would be generally
useful, then it could be made built in to SAGE:
sage: k.a = GF(2^5)
sage: k
Finite Field in a of size 2^5
sage: V = k.vector_space()
sage: z = (1+a)^17; z
a^3 + a + 1
sage: def to_V(w):
... return V(w.polynomial().padded_list(V.dimension()))
sage: to_V(z)
(1, 1, 0, 1, 0)
sage: B2 = [(a+1)^(2^i) for i in range(k.degree())]
sage: W = [to_V(b) for b in B2]
sage: V.span(W).dimension()
5
sage: W0 = V.span_of_basis(W)
sage: def in_terms_of_normal_basis(z):
... return W0.coordinates(to_V(z))
sage: in_terms_of_normal_basis(a+1)
[1, 0, 0, 0, 0]
sage: in_terms_of_normal_basis(1 + a + a^2 + a^3)
[1, 0, 0, 1, 0]
Or, in SAGE notebook text format:
ahmad -- sage-support
system:sage
{{{id=0|
k.a = GF(2^5)
}}}
{{{id=1|
k
///
Finite Field in a of size 2^5
}}}
{{{id=2|
V = k.vector_space()
}}}
{{{id=3|
z = (1+a)^17; z
///
a^3 + a + 1
}}}
{{{id=4|
def to_V(w):
return V(w.polynomial().padded_list(V.dimension()))
}}}
{{{id=5|
to_V(z)
///
(1, 1, 0, 1, 0)
}}}
{{{id=6|
B2 = [(a+1)^(2^i) for i in range(k.degree())]
}}}
{{{id=7|
W = [to_V(b) for b in B2]
}}}
{{{id=8|
V.span(W).dimension()
///
5
}}}
{{{id=9|
W0 = V.span_of_basis(W)
}}}
{{{id=10|
def in_terms_of_normal_basis(z):
return W0.coordinates(to_V(z))
}}}
{{{id=11|
in_terms_of_normal_basis(a+1)
///
[1, 0, 0, 0, 0]
}}}
{{{id=12|
in_terms_of_normal_basis(1 + a + a^2 + a^3)
///
[1, 0, 0, 1, 0]
}}}
\
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[sage-support] Re: Fwd: sage logo page?
On 9/3/07, mabshoff [EMAIL PROTECTED] wrote: I wonder if at some point an analog ofhttp://www.python.org/community/logos/ could be created for SAGE. I'm not saying people couldn't use the SAGE art. Just, it would be nice I think to have a page which lists the logos which the SAGE Group has a copyright for and encourages the use of. - David Not me, I own enough open ticket ;), but we should also recreate the snapshot page we used to have before the last web page redesign. I am also cross posting this to sage-support, there might be gifted people over there willing to help out. There are some screen shots here (search for screen shots on this page): http://sagemath.org/download.html It might be better to move screen shots to a wiki, since nobody ever makes them except me as it is, and mine aren't so good. William --~--~-~--~~~---~--~~ 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: Fwd: sage logo page?
an idea (based on http://sagemath.org/art/.html/sage-bg1-thumb.jpg) http://moodle.projektas.lt/failai/sage/ I'd like to show some kind of convergation.., and as usulay in OS communities - some kind of circle :) On 9/4/07, mabshoff [EMAIL PROTECTED] wrote: On Sep 3, 11:02 pm, William Stein [EMAIL PROTECTED] wrote: David Joyner has a really good idea below. Any volunteers? -- Forwarded message -- From: David Joyner [EMAIL PROTECTED] Date: Sep 3, 2007 12:56 PM Subject: sage logo page? To: William Stein [EMAIL PROTECTED] Cc: David Joyner [EMAIL PROTECTED] Hi William: I wonder if at some point an analog ofhttp://www.python.org/community/logos/ could be created for SAGE. I'm not saying people couldn't use the SAGE art. Just, it would be nice I think to have a page which lists the logos which the SAGE Group has a copyright for and encourages the use of. - David Not me, I own enough open ticket ;), but we should also recreate the snapshot page we used to have before the last web page redesign. I am also cross posting this to sage-support, there might be gifted people over there willing to help out. Cheers, Michael -- Jurgis Pralgauskis mob.: 865-765-656, +37061677613; skype: dz0rdzas; Don't worry, be happy :) and make things better ;) reikalaukime ATVIRŲ ir nepriklausomų STANDARTŲ: http://www.noooxml.org/petition-lt http://www.openstandards.eu/ --~--~-~--~~~---~--~~ 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: Fwd: sage logo page?
Thanks. One thing that has sort of emerged over the last year is that Sage isn't just for Algebra and Geometry, it's for much much more. So we've sort of stopped think of SAGE as an acronym, and more as just a word (like a wise mathematical sage that gathers together the wisdom of generation). On 9/3/07, Jurgis Pralgauskis [EMAIL PROTECTED] wrote: an idea (based on http://sagemath.org/art/.html/sage-bg1-thumb.jpg) http://moodle.projektas.lt/failai/sage/ I'd like to show some kind of convergation.., and as usulay in OS communities - some kind of circle :) On 9/4/07, mabshoff [EMAIL PROTECTED] wrote: On Sep 3, 11:02 pm, William Stein [EMAIL PROTECTED] wrote: David Joyner has a really good idea below. Any volunteers? -- Forwarded message -- From: David Joyner [EMAIL PROTECTED] Date: Sep 3, 2007 12:56 PM Subject: sage logo page? To: William Stein [EMAIL PROTECTED] Cc: David Joyner [EMAIL PROTECTED] Hi William: I wonder if at some point an analog ofhttp://www.python.org/community/logos/ could be created for SAGE. I'm not saying people couldn't use the SAGE art. Just, it would be nice I think to have a page which lists the logos which the SAGE Group has a copyright for and encourages the use of. - David Not me, I own enough open ticket ;), but we should also recreate the snapshot page we used to have before the last web page redesign. I am also cross posting this to sage-support, there might be gifted people over there willing to help out. Cheers, Michael -- Jurgis Pralgauskis mob.: 865-765-656, +37061677613; skype: dz0rdzas; Don't worry, be happy :) and make things better ;) reikalaukime ATVIRŲ ir nepriklausomų STANDARTŲ: http://www.noooxml.org/petition-lt http://www.openstandards.eu/ -- William Stein Associate Professor of Mathematics University of Washington http://www.williamstein.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://sage.math.washington.edu/sage/ and http://sage.scipy.org/sage/ -~--~~~~--~~--~--~---
[sage-support] Re: Fwd: sage logo page?
Here are two images based around the same idea. I don't know how to do illustration. On 9/3/07, William Stein [EMAIL PROTECTED] wrote: Thanks. One thing that has sort of emerged over the last year is that Sage isn't just for Algebra and Geometry, it's for much much more. So we've sort of stopped think of SAGE as an acronym, and more as just a word (like a wise mathematical sage that gathers together the wisdom of generation). On 9/3/07, Jurgis Pralgauskis [EMAIL PROTECTED] wrote: an idea (based on http://sagemath.org/art/.html/sage-bg1-thumb.jpg) http://moodle.projektas.lt/failai/sage/ I'd like to show some kind of convergation.., and as usulay in OS communities - some kind of circle :) On 9/4/07, mabshoff [EMAIL PROTECTED] wrote: On Sep 3, 11:02 pm, William Stein [EMAIL PROTECTED] wrote: David Joyner has a really good idea below. Any volunteers? -- Forwarded message -- From: David Joyner [EMAIL PROTECTED] Date: Sep 3, 2007 12:56 PM Subject: sage logo page? To: William Stein [EMAIL PROTECTED] Cc: David Joyner [EMAIL PROTECTED] Hi William: I wonder if at some point an analog ofhttp://www.python.org/community/logos/ could be created for SAGE. I'm not saying people couldn't use the SAGE art. Just, it would be nice I think to have a page which lists the logos which the SAGE Group has a copyright for and encourages the use of. - David Not me, I own enough open ticket ;), but we should also recreate the snapshot page we used to have before the last web page redesign. I am also cross posting this to sage-support, there might be gifted people over there willing to help out. Cheers, Michael -- Jurgis Pralgauskis mob.: 865-765-656, +37061677613; skype: dz0rdzas; Don't worry, be happy :) and make things better ;) reikalaukime ATVIRŲ ir nepriklausomų STANDARTŲ: http://www.noooxml.org/petition-lt http://www.openstandards.eu/ -- William Stein Associate Professor of Mathematics University of Washington http://www.williamstein.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://sage.math.washington.edu/sage/ and http://sage.scipy.org/sage/ -~--~~~~--~~--~--~--- inline: SAGE-Logo.gifinline: SAGE-Logo2.gif
[sage-support] Re: Fwd: sage logo page?
Please post logos here: http://wiki.sagemath.org/logos On 9/3/07, Timothy Clemans [EMAIL PROTECTED] wrote: Here are two images based around the same idea. I don't know how to do illustration. On 9/3/07, William Stein [EMAIL PROTECTED] wrote: Thanks. One thing that has sort of emerged over the last year is that Sage isn't just for Algebra and Geometry, it's for much much more. So we've sort of stopped think of SAGE as an acronym, and more as just a word (like a wise mathematical sage that gathers together the wisdom of generation). On 9/3/07, Jurgis Pralgauskis [EMAIL PROTECTED] wrote: an idea (based on http://sagemath.org/art/.html/sage-bg1-thumb.jpg) http://moodle.projektas.lt/failai/sage/ I'd like to show some kind of convergation.., and as usulay in OS communities - some kind of circle :) On 9/4/07, mabshoff [EMAIL PROTECTED] wrote: On Sep 3, 11:02 pm, William Stein [EMAIL PROTECTED] wrote: David Joyner has a really good idea below. Any volunteers? -- Forwarded message -- From: David Joyner [EMAIL PROTECTED] Date: Sep 3, 2007 12:56 PM Subject: sage logo page? To: William Stein [EMAIL PROTECTED] Cc: David Joyner [EMAIL PROTECTED] Hi William: I wonder if at some point an analog ofhttp://www.python.org/community/logos/ could be created for SAGE. I'm not saying people couldn't use the SAGE art. Just, it would be nice I think to have a page which lists the logos which the SAGE Group has a copyright for and encourages the use of. - David Not me, I own enough open ticket ;), but we should also recreate the snapshot page we used to have before the last web page redesign. I am also cross posting this to sage-support, there might be gifted people over there willing to help out. Cheers, Michael -- Jurgis Pralgauskis mob.: 865-765-656, +37061677613; skype: dz0rdzas; Don't worry, be happy :) and make things better ;) reikalaukime ATVIRŲ ir nepriklausomų STANDARTŲ: http://www.noooxml.org/petition-lt http://www.openstandards.eu/ -- William Stein Associate Professor of Mathematics University of Washington http://www.williamstein.org -- William Stein Associate Professor of Mathematics University of Washington http://www.williamstein.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://sage.math.washington.edu/sage/ and http://sage.scipy.org/sage/ -~--~~~~--~~--~--~---
[sage-support] Re: Fwd: sage logo page?
William wrote One thing that has sort of emerged over the last year is that Sage isn't just for Algebra and Geometry, it's for much much more. So we've sort of stopped think of SAGE as an acronym, and more as just a word (like a wise mathematical sage that gathers together the wisdom of generation). If Sage is no longer an acronym, does this mean that typing its name in all capital letters isn't necessary anymore? Ted --~--~-~--~~~---~--~~ 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/ -~--~~~~--~~--~--~---
