[sage-support] Re: Digamma Function in 4.1.1
On Mon, 21 Sep 2009 22:29:33 -0700 (PDT) The_Fool masterfu...@gmail.com wrote: snip info on how sage -br renders a binary install useless Typing %upgrade tells me to delete a hidden file and retry the command. Sage still doesn't work after I do. The same situation occurred after I reinstalled Sage, ran the program, upgraded, modified a file, and rebuilt again. I may just download the source code, make the modification, and completely build Sage for my system. As a workaround you can also just implement the function in a .py file somewhere and use the load or attach commands to make it available from Sage. If you go this way, it would be great if you upload your implementation somewhere, so someone can turn it into a patch for the Sage library. Thanks. Burcin P.S. Sorry for not replying earlier. I'm very busy trying to finish things before I leave for vacation next week. --~--~-~--~~~---~--~~ 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] desolve_system
Hi
I have previously solved this problem using odesolve from scipy.
I am now learning SAGE.
What is wrong here? I get zerodivision from SAGE but it had a solution
in odesolve.
t = var('t')
z = function('z',t)
y1= function('y1',t)
y2= function('y2',t)
b = 0.03; r1 = 6.0; r2 = 0.5; gamma = 0.01; ro = 6.0;
De1 = diff(z,t) - b + (r1*y1 + r2*y2 + b - (gamma*y2)*z) == 0
De2 = diff(y1,t)-(r1*y1+r2*y2)*z + (ro+b-gamma*y2)*y1 == 0
De3 = diff(y2,t)-ro*y1+gamma*y2*(1-y2)+y2*b == 0
desolve_system([De1, De2, De3], [z, y1, y2])
I get this result:
Traceback (click to the left for traceback)
...
ZeroDivisionError: Symbolic division by zero
Traceback (most recent call last):
File stdin, line 1, in module
File /var/autofs/misc/home/amsalework/.sage/sage_notebook/
worksheets/admin/13/code/1.py, line 17, in module
desolve_system([De1, De2, De3], [z, y1, y2])
File , line 1, in module
File /usr/local/src/sage-4.1.1/local/lib/python2.6/site-packages/
sage/calculus/desolvers.py, line 259, in desolve_system
soln[i] = sol.sage()
File /usr/local/src/sage-4.1.1/local/lib/python2.6/site-packages/
sage/interfaces/expect.py, line 1578, in sage
return self._sage_()
File /usr/local/src/sage-4.1.1/local/lib/python2.6/site-packages/
sage/interfaces/maxima.py, line 1703, in _sage_
return symbolic_expression_from_maxima_string(repr(self))
File /usr/local/src/sage-4.1.1/local/lib/python2.6/site-packages/
sage/calculus/calculus.py, line 1677, in
symbolic_expression_from_maxima_string
return symbolic_expression_from_string(s, syms,
accept_sequence=True)
File /usr/local/src/sage-4.1.1/local/lib/python2.6/site-packages/
sage/calculus/calculus.py, line 1774, in
symbolic_expression_from_string
return parse_func(s)
File parser.pyx, line 516, in
sage.misc.parser.Parser.parse_sequence (sage/misc/parser.c:3803)
File parser.pyx, line 531, in
sage.misc.parser.Parser.parse_sequence (sage/misc/parser.c:3689)
File parser.pyx, line 602, in sage.misc.parser.Parser.p_sequence
(sage/misc/parser.c:4394)
File parser.pyx, line 692, in sage.misc.parser.Parser.p_eqn (sage/
misc/parser.c:5101)
File parser.pyx, line 728, in sage.misc.parser.Parser.p_expr (sage/
misc/parser.c:5382)
File parser.pyx, line 761, in sage.misc.parser.Parser.p_term (sage/
misc/parser.c:5605)
File parser.pyx, line 803, in sage.misc.parser.Parser.p_factor
(sage/misc/parser.c:5966)
File parser.pyx, line 830, in sage.misc.parser.Parser.p_power
(sage/misc/parser.c:6077)
File parser.pyx, line 884, in sage.misc.parser.Parser.p_atom (sage/
misc/parser.c:6525)
File parser.pyx, line 920, in sage.misc.parser.Parser.p_args (sage/
misc/parser.c:6924)
File parser.pyx, line 951, in sage.misc.parser.Parser.p_arg (sage/
misc/parser.c:7223)
File parser.pyx, line 728, in sage.misc.parser.Parser.p_expr (sage/
misc/parser.c:5382)
File parser.pyx, line 771, in sage.misc.parser.Parser.p_term (sage/
misc/parser.c:5721)
File element.pyx, line 1271, in
sage.structure.element.RingElement.__div__ (sage/structure/element.c:
10502)
File expression.pyx, line 1884, in
sage.symbolic.expression.Expression._div_ (sage/symbolic/
expression.cpp:10818)
ZeroDivisionError: Symbolic division by zero
regards,
Amsale
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[sage-support] Re: desolve_system
Just a guess: your system is non-linear and that causes a problem somehow.
If you modify the linear terms you get
sage: t = var('t')
sage: z = function('z',t)
sage: y1= function('y1',t)
sage: y2= function('y2',t)
sage:
sage: b = 3/100; r1 = 6; r2 = 1/2; gamma = 1/100; ro = 6;
sage: De1 = diff(z,t) - b + (r1*y1 + r2*y2 + b - gamma*z) == 0
sage: De2 = diff(y1,t)-(r1*y1+r2*y2) + (ro+b-gamma)*y1 == 0
sage: De3 = diff(y2,t)-ro*y1+gamma*y2+y2*b == 0
sage: desolve_system([De1, De2, De3], [z, y1, y2])
[z(t) == -10/59971999*((120820*y1(0) +
10799*y2(0))*sqrt(30001)*sinh(1/100*sqrt(30001)*t) + 30001*(220*y1(0)
+ 201*y2(0))*cosh(1/100*sqrt(30001)*t))*e^(-3/100*t) +
1/1999*(1999*z(0) + 2200*y1(0) + 2010*y2(0))*e^(1/100*t),
y1(t) == 1/30001*((y1(0) +
50*y2(0))*sqrt(30001)*sinh(1/100*sqrt(30001)*t) +
30001*cosh(1/100*sqrt(30001)*t)*y1(0))*e^(-3/100*t),
y2(t) == 1/30001*((600*y1(0) -
y2(0))*sqrt(30001)*sinh(1/100*sqrt(30001)*t) +
30001*cosh(1/100*sqrt(30001)*t)*y2(0))*e^(-3/100*t)]
which runs fine.
I really don't know the problem though. desolve_system? says this calls Maxima.
What happens if you plug your system directly into Maxima?
On Tue, Sep 22, 2009 at 8:01 AM, AMSALEWORK EJIGU
amsalewor...@gmail.com wrote:
Hi
I have previously solved this problem using odesolve from scipy.
I am now learning SAGE.
What is wrong here? I get zerodivision from SAGE but it had a solution
in odesolve.
t = var('t')
z = function('z',t)
y1= function('y1',t)
y2= function('y2',t)
b = 0.03; r1 = 6.0; r2 = 0.5; gamma = 0.01; ro = 6.0;
De1 = diff(z,t) - b + (r1*y1 + r2*y2 + b - (gamma*y2)*z) == 0
De2 = diff(y1,t)-(r1*y1+r2*y2)*z + (ro+b-gamma*y2)*y1 == 0
De3 = diff(y2,t)-ro*y1+gamma*y2*(1-y2)+y2*b == 0
desolve_system([De1, De2, De3], [z, y1, y2])
I get this result:
Traceback (click to the left for traceback)
...
ZeroDivisionError: Symbolic division by zero
Traceback (most recent call last):
File stdin, line 1, in module
File /var/autofs/misc/home/amsalework/.sage/sage_notebook/
worksheets/admin/13/code/1.py, line 17, in module
desolve_system([De1, De2, De3], [z, y1, y2])
File , line 1, in module
File /usr/local/src/sage-4.1.1/local/lib/python2.6/site-packages/
sage/calculus/desolvers.py, line 259, in desolve_system
soln[i] = sol.sage()
File /usr/local/src/sage-4.1.1/local/lib/python2.6/site-packages/
sage/interfaces/expect.py, line 1578, in sage
return self._sage_()
File /usr/local/src/sage-4.1.1/local/lib/python2.6/site-packages/
sage/interfaces/maxima.py, line 1703, in _sage_
return symbolic_expression_from_maxima_string(repr(self))
File /usr/local/src/sage-4.1.1/local/lib/python2.6/site-packages/
sage/calculus/calculus.py, line 1677, in
symbolic_expression_from_maxima_string
return symbolic_expression_from_string(s, syms,
accept_sequence=True)
File /usr/local/src/sage-4.1.1/local/lib/python2.6/site-packages/
sage/calculus/calculus.py, line 1774, in
symbolic_expression_from_string
return parse_func(s)
File parser.pyx, line 516, in
sage.misc.parser.Parser.parse_sequence (sage/misc/parser.c:3803)
File parser.pyx, line 531, in
sage.misc.parser.Parser.parse_sequence (sage/misc/parser.c:3689)
File parser.pyx, line 602, in sage.misc.parser.Parser.p_sequence
(sage/misc/parser.c:4394)
File parser.pyx, line 692, in sage.misc.parser.Parser.p_eqn (sage/
misc/parser.c:5101)
File parser.pyx, line 728, in sage.misc.parser.Parser.p_expr (sage/
misc/parser.c:5382)
File parser.pyx, line 761, in sage.misc.parser.Parser.p_term (sage/
misc/parser.c:5605)
File parser.pyx, line 803, in sage.misc.parser.Parser.p_factor
(sage/misc/parser.c:5966)
File parser.pyx, line 830, in sage.misc.parser.Parser.p_power
(sage/misc/parser.c:6077)
File parser.pyx, line 884, in sage.misc.parser.Parser.p_atom (sage/
misc/parser.c:6525)
File parser.pyx, line 920, in sage.misc.parser.Parser.p_args (sage/
misc/parser.c:6924)
File parser.pyx, line 951, in sage.misc.parser.Parser.p_arg (sage/
misc/parser.c:7223)
File parser.pyx, line 728, in sage.misc.parser.Parser.p_expr (sage/
misc/parser.c:5382)
File parser.pyx, line 771, in sage.misc.parser.Parser.p_term (sage/
misc/parser.c:5721)
File element.pyx, line 1271, in
sage.structure.element.RingElement.__div__ (sage/structure/element.c:
10502)
File expression.pyx, line 1884, in
sage.symbolic.expression.Expression._div_ (sage/symbolic/
expression.cpp:10818)
ZeroDivisionError: Symbolic division by zero
regards,
Amsale
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[sage-support] Polynomial over a finite field using integer coefficients
Conside the finite field F=GF(9),say, and the polynomial ring F[x]. The elements of F are listed below. sage: k.a = GF(9) sage: for x in k:print x 0 2*a a + 1 a + 2 2 a 2*a + 2 2*a + 1 1 sage: R = PolynomialRing(k,'x') sage: sage: x = R.0 We can think of elements of k as integers from 0 to 8 : 0 -0 2*a -6 a + 1 - 4 a + 2 - 5 etc... Now, (a+1) + x^2 is an element of F[x]. In Sage, is it possible to write the coeffcients as integers 0 to 8? ie. Instead of (a +1) + x^2, can I write 4 + x^2 ? I have tried it and it does not work. sage: 4 + x^2 x^2 + 1 sage: Thanks in advance for any assistance ! Shing --~--~-~--~~~---~--~~ 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: sxrange / xsrange possible bug
Minh, Tutorials, tips and techniques on making and managing patches should go in the Developers' Guide at http://www.sagemath.org/doc/developer/ Aha! This already has the stuff I was going to write up. The reason that I never looked at this is that I do not consider myself a developer. I found the Sage documentation for sxrange/xsrange confusing, William suggested I write a patch for the documentation, and I tried to do so. The section that you referenced Producing Patches with Mercurial is in the second half of the Developers' Guide. I never would have found it without your pointing me at it. I respectfully suggest that this section be split out to a How to make a Sage patch (for newbies) ... or at the very least moved to the beginning of the Developers' Guide. Mariah --~--~-~--~~~---~--~~ 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: Polynomial over a finite field using integer coefficients
Hi Shing! Two possibilities: sage: k.a = GF(9) sage: t=a^2+1 Now, you can learn about all possible methods for elements of k by doing sage: t.TAB (you type t, dot, and hit the tab key). This will show you a list of possible methods. One of the methods is called int_repr: sage: t.int_repr() '5' So, it gives you a string, that you can easily transform into an integer: ZZ(t.int_repr()) for a Sage integer, int(t.int_repr()) for a Python integer. There is also log_to_int: sage: t.log_to_int() 5 Probably this last method is easier. The inverse way is sage: k.fetch_int(5) a + 2 which is indeed the same as t: sage: t a + 2 Cheers, Simon --~--~-~--~~~---~--~~ 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] PIL decoder jpeg not available
hi all, i've install the PIL with sage -i pil-1.1.6 Seems to work. However when trying the following: import Image im= Image.open(foo.jpg) im.convert(L) #should convert to BW i think i get decoder jpeg not available. It seems that the reason this happens is explained here : http://effbot.org/zone/pil-decoder-jpeg-not-available.htm unfortunately, not having installed the PIL manually with a setup.py, i don't know what to do. Help anyone ? thanks ! Pierre --~--~-~--~~~---~--~~ 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: sxrange / xsrange possible bug
Hi Mariah, On Tue, Sep 22, 2009 at 11:08 PM, Mariah mariah.le...@gmail.com wrote: SNIP I respectfully suggest that this section be split out to a How to make a Sage patch (for newbies) ... or at the very least moved to the beginning of the Developers' Guide. This is now ticket #6987 http://trac.sagemath.org/sage_trac/ticket/6987 -- Regards Minh Van Nguyen --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Polynomial over a finite field using integer coefficients
Thanks for the reply! Just one more question. In general, if k is a finite field, what is k(i), where i is an integer, suppose to be ? The following example suggests k(i) will be the elements in the base field as i varies. sage: k.a = GF(9) sage: for i in [0..8]: print k(i) : 0 1 2 0 1 2 0 1 2 Shing On Sep 22, 4:13 pm, Simon King simon.k...@nuigalway.ie wrote: Hi Shing! Two possibilities: sage: k.a = GF(9) sage: t=a^2+1 Now, you can learn about all possible methods for elements of k by doing sage: t.TAB (you type t, dot, and hit the tab key). This will show you a list of possible methods. One of the methods is called int_repr: sage: t.int_repr() '5' So, it gives you a string, that you can easily transform into an integer: ZZ(t.int_repr()) for a Sage integer, int(t.int_repr()) for a Python integer. There is also log_to_int: sage: t.log_to_int() 5 Probably this last method is easier. The inverse way is sage: k.fetch_int(5) a + 2 which is indeed the same as t: sage: t a + 2 Cheers, Simon --~--~-~--~~~---~--~~ 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: Polynomial over a finite field using integer coefficients
Hi! On 22 Sep., 20:08, Shing Hing Man mat...@yahoo.com wrote: Thanks for the reply! Just one more question. In general, if k is a finite field, what is k(i), where i is an integer, suppose to be ? Apart from the TAB autocompletion, another useful way to get information is to look into the documentation. This is possible by putting ? after an interesting object and hit the return key: sage: k.a=GF(9) sage: k? This will tell you: ... EXAMPLES: FiniteField_givaroElement are accepted where the parent is either self, equals self or is the prime subfield sage: k = GF(2**8, 'a') sage: k.gen() == k(k.gen()) True Floats, ints, longs, Integer are interpreted modulo characteristic sage: k(2) 0 ... So, the integers are interpreted modulo the characteristic of the field, certainly not modulo the size of the field. Best regards Simon --~--~-~--~~~---~--~~ 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] sagenb.org
Earlier today I signed up through sagenb.org so that I can publish my worksheet. The signing up process was simple, but whenever I try to login, I receive errors. I've checked my login information and it is accurate. Is there anyone else having problems? Eric --~--~-~--~~~---~--~~ 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: sagenb.org
On Tue, Sep 22, 2009 at 2:04 PM, Eric Jackson eric...@comcast.net wrote: Earlier today I signed up through sagenb.org so that I can publish my worksheet. The signing up process was simple, but whenever I try to login, I receive errors. I've checked my login information and it is accurate. Is there anyone else having problems? I just logged in and computed 2+3. However, I did get two indicators that it was slow today (I have a monitor script). Also, sage is getting some discussion on slashdot right now. I also just logged in and found that the number of sagenb.org accounts went up from about 4000 (last time I checked 1-2 weeks go) to 7381 right now. It looks like 249 accounts were created today, maybe. So it's getting hammered. It's just a dual core virtual machine. Here's a hint -- I made some extra secret notebook servers you can use: demo.sagenb.org, demo2.sagenb.org. That might be helpful. Also, I'm actively working on a major rewrite to improve robustness and scalability a *lot*. William Eric -- William Stein Associate Professor of Mathematics University of Washington http://wstein.org --~--~-~--~~~---~--~~ 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: sagenb.org
On Sep 22, 2009, at 2:10 PM, William Stein wrote: On Tue, Sep 22, 2009 at 2:04 PM, Eric Jackson eric...@comcast.net wrote: Earlier today I signed up through sagenb.org so that I can publish my worksheet. The signing up process was simple, but whenever I try to login, I receive errors. I've checked my login information and it is accurate. Is there anyone else having problems? I just logged in and computed 2+3. However, I did get two indicators that it was slow today (I have a monitor script). Also, sage is getting some discussion on slashdot right now. I also just logged in and found that the number of sagenb.org accounts went up from about 4000 (last time I checked 1-2 weeks go) to 7381 right now. It looks like 249 accounts were created today, maybe. So it's getting hammered. It's just a dual core virtual machine. I wonder if this is a contributing factor: http://science.slashdot.org/story/09/09/22/1512237/Finding-the-First- Trillion-Congruent-Numbers (Of course, it'll be nice when we can just handle this kind of load...) - Robert --~--~-~--~~~---~--~~ 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: sagenb.org
Thanks William, I input demo.sagenb.org into my google search box and came to a website called Symmetric Group (Demo) Sage. However, how can I upload my worksheet, so that others can view it? Also, for a while, I thought the problem of logging in was me, so I created other accounts that you can delete. All of the accounts were created today within minutes of one another. The user names for the accounts that you can delete are 19eric, eric19., and eric19. Thanks, Eric On Sep 22, 2009, at 2:10 PM, William Stein wrote: On Tue, Sep 22, 2009 at 2:04 PM, Eric Jackson eric...@comcast.net wrote: Earlier today I signed up through sagenb.org so that I can publish my worksheet. The signing up process was simple, but whenever I try to login, I receive errors. I've checked my login information and it is accurate. Is there anyone else having problems? I just logged in and computed 2+3. However, I did get two indicators that it was slow today (I have a monitor script). Also, sage is getting some discussion on slashdot right now. I also just logged in and found that the number of sagenb.org accounts went up from about 4000 (last time I checked 1-2 weeks go) to 7381 right now. It looks like 249 accounts were created today, maybe. So it's getting hammered. It's just a dual core virtual machine. Here's a hint -- I made some extra secret notebook servers you can use: demo.sagenb.org, demo2.sagenb.org. That might be helpful. Also, I'm actively working on a major rewrite to improve robustness and scalability a *lot*. William Eric -- William Stein Associate Professor of Mathematics University of Washington http://wstein.org --~--~-~--~~~---~--~~ 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: Logic minimization
Hi Luis, On Wed, Sep 23, 2009 at 6:44 AM, lastras last...@gmail.com wrote: I am looking for a boolean logic minimization toolset for sage. It does not seem to be part of the standard package, is there anything you might know about this? Sage modules under sage/logic deal with symbolic logic. AFAIK boolean logic minimization is not yet in Sage. However, ticket #5910 [1] has a patch that implements the Quine-McCluskey algorithm for minimizing logic expressions. The patch is more or less self-contained and nobody has touched it in 5 months. It needs some polishing before getting into Sage. Any volunteers? :-) [1] http://trac.sagemath.org/sage_trac/ticket/5910 -- Regards Minh Van Nguyen --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: latex/jsmath error
Can I do
---
gcc (with C++ support)
make--out
m4-- out
per-- out
ranlib--out
tar--out
latex -- just this
--
On Sep 14, 6:36 pm, William Stein wst...@gmail.com wrote:
On Mon, Sep 14, 2009 at 1:21 PM, Mikie thephantom6...@hotmail.com wrote:
This is from debug
cd /root/.sage/temp/Ralph/5161/dir_1 sage-native-execute latex
\\nonstopmode \\input{sage8.tex} sage-native-execute dvips
sage8.dvi
sage-native-execute convert -density 130x130 -trim sage8.ps
sage8.png
/var/www/html/sage/local/bin/sage-native-execute: line 8: latex:
command
not found
You need to install latex.
William
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[sage-support] Re: sagenb.org
On Tue, 22 Sep 2009 at 02:04PM -0700, Eric Jackson wrote: Earlier today I signed up through sagenb.org so that I can publish my worksheet. The signing up process was simple, but whenever I try to login, I receive errors. I've checked my login information and it is accurate. Is there anyone else having problems? There's also http://sagenb.kaist.ac.kr which hosts two public notebook servers, and within a couple weeks, will be running on better hardware. Dan -- --- Dan Drake - http://mathsci.kaist.ac.kr/~drake --- signature.asc Description: Digital signature
[sage-support] Re: Digamma Function in 4.1.1
I meant to say that I created the polygamma function as psi(order,x), not polygamma(order,x). --~--~-~--~~~---~--~~ 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: Digamma Function in 4.1.1
I managed to create the symbolic polygamma function as psi(order,x). Psi is limited in what it can do, though. I can get it to grab special values from Maxima's or GiNaC's table, but I still cannot get it to approximate any value of any integer order. It can be differentiated, but not integrated. It seems that this is a limitation of Maxima and GiNaC, not Sage. --~--~-~--~~~---~--~~ 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: PIL decoder jpeg not available
What operating system are you using? -M. Hampton On Sep 22, 10:14 am, Pierre pierre.guil...@gmail.com wrote: hi all, i've install the PIL with sage -i pil-1.1.6 Seems to work. However when trying the following: import Image im= Image.open(foo.jpg) im.convert(L) #should convert to BW i think i get decoder jpeg not available. It seems that the reason this happens is explained here : http://effbot.org/zone/pil-decoder-jpeg-not-available.htm unfortunately, not having installed the PIL manually with a setup.py, i don't know what to do. Help anyone ? thanks ! Pierre --~--~-~--~~~---~--~~ 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 -~--~~~~--~~--~--~---
