Hi Sagers:
I'm not sure this is the right forum to ask this question, but hey,
here goes. Anybody going to ISSAC 2011
(http://www.issac-conference.org/2011/) next month?
The reason i ask is this. I got accepted to present my Sage program
for calculating asymptotics of multivariate generating fun
Hi Doug:
Qhull installs no problem on my Mac desktop. So maybe it is some gcc
weirdness that prevents me from installing it on my laptop. I'll try
your suggested code on my laptop tonight.
Now that i have Qhull, um, how do i use it within Sage? Can somebody
point me to the documentation? I po
fully?
Thanks.
Alex
raichev@wujarch-l~> sage -i qhull
Detected SAGE64 flag
Building Sage on OS X in 64-bit mode
Installing qhull
Calling sage-spkg on qhull
Warning: Attempted to overwrite SAGE_ROOT environment variable
Building Sage on OS X in 64-bit mode
Creating SAGE_LOCAL/lib/sage-64.txt since
Hi all:
I get differently formatted answers using factor() multiple times on
the same polynomial. I wouldn't call it a bug, but it sure is
annoying when doctesting.
Alex
--
| Sage Version 4.6, Release Date: 2010-10-30
Hi all:
I found a bug related to matrices over polynomial rings.
Alex
--
| Sage Version 4.6, Release Date: 2010-10-30 |
| Type notebook() for the GUI, and license() for information.|
Hi all:
I think i found a bug with simplify_full().
Alex
--
| Sage Version 4.6, Release Date: 2010-10-30 |
| Type notebook() for the GUI, and license() for information.|
--
Hi all:
This looks like a bug in Sage 4.5.3 regarding solving linear systems.
Alex
--
| Sage Version 4.5.3, Release Date: 2010-09-04 |
| Type notebook() for the GUI, and license() for information.|
P.P.S. And thanks to everybody developing Sage :-)
On Apr 9, 2:55 pm, Alex Raichev wrote:
> P.S. Burcin, thanks for all your work on Sage symbolics. I
> appreciate it.
>
> On Apr 8, 11:44 pm, Burcin Erocal wrote:
>
> > Hi again Alex,
>
> > Many thanks for the re
P.S. Burcin, thanks for all your work on Sage symbolics. I
appreciate it.
On Apr 8, 11:44 pm, Burcin Erocal wrote:
> Hi again Alex,
>
> Many thanks for the report.
>
> On Wed, 7 Apr 2010 16:05:09 -0700 (PDT)
>
> Alex Raichev wrote:
> > Hi all:
>
> > I
pm, Burcin Erocal wrote:
> Hi again Alex,
>
> Many thanks for the report.
>
> On Wed, 7 Apr 2010 16:05:09 -0700 (PDT)
>
> Alex Raichev wrote:
> > Hi all:
>
> > I ran into an error trying to evaluate the exponential function at an
> > algebraic number.
What the?
--
| Sage Version 4.3.5, Release Date: 2010-03-28 |
| Type notebook() for the GUI, and license() for information.|
--
sage
Hi all:
I ran into an error trying to evaluate the exponential function at an
algebraic number. Looks like there's a bug in substituting algebraic
numbers for variables; see below. While i was at it, i tried creating
the expression QQbar(sqrt(2))*x and got a not implemented error.
Wasn't symboli
on2.6/site-packages/sage/libs/
singular/function.so in
sage.libs.singular.function.SingularFunction.__call__ (sage/libs/
singular/function.cpp:9628)()
TypeError: Cannot call Singular function 'radical' with ring parameter
of type ''
On Jan 15, 2:58 pm, Alex Raichev wrote:
> Hi all:
>
> I'm tryin
Hi all:
Am i doing something wrong, or does the example below demonstrate a
bug in Sage's n() function?
Alex
--
| Sage Version 4.3, Release Date: 2009-12-24 |
| Type notebook() for the GUI, and license()
Hi all:
I'm trying to get Sage to compute in a multivariate polynomial ring
over a transcendental field extension but am running into
difficulties. For example, Sage crashes when trying to compute a
radical ideal as demonstrated by the example below. I tried the same
example in Singular, which g
Sweet, Burcin. I'll check out your patch. Can you increase the
derivative orders to 20 something?
Alex
On Nov 23, 7:30 am, Burcin Erocal wrote:
> Hi,
>
> On Sat, 21 Nov 2009 14:02:16 +0100
>
> Burcin Erocal wrote:
> > I can't believe I'm looking at these hashes for the third time. I
> > final
anks again.
Alex
On Nov 20, 7:17 pm, William Stein wrote:
> On Thu, Nov 19, 2009 at 7:45 PM, Alex Raichev wrote:
> > Thanks for the workaround, William. I was thinking the same thing as
> > a temporary fix but am having difficulties with that approach.
>
> > Here's my
ein wrote:
> On Thu, Nov 19, 2009 at 6:08 PM, Alex Raichev wrote:
> > Hi all:
>
> > Related tohttp://trac.sagemath.org/sage_trac/ticket/6243, it appears
> > that using derivatives of callable symbolic functions as dictionary
> > keys is broken in Sage 4.2.1. See belo
Hi all:
Related to http://trac.sagemath.org/sage_trac/ticket/6243, it appears
that using derivatives of callable symbolic functions as dictionary
keys is broken in Sage 4.2.1. See below. It works for functions of
one and two variables but not three.
Alex
---
Hi all:
I found some strange behavior in solve that's related to function
composition. Check out this short example.
--
| Sage Version 4.2, Release Date: 2009-10-24 |
| Type notebook() for the GUI, and l
ff('%s(%s), %s)"%(f.name(),
IndexError: tuple index out of range
On Oct 21, 12:37 am, David Joyner wrote:
> You might want to search the sage devel archives for an email from John Perry
> called "implicit_
Hi all:
I'm trying to differentiate implicitly and solve for the derivative
but get an error. Does anyone know what's wrong?
Alex
--
| Sage Version 4.1.2, Release Date: 2009-10-13 |
| Type notebook() for
Hi all:
Thanks to those who worked on closing ticket 6243 regarding
derivatives as dictionary keys. It appears that there are still some
bugs, though (see below).
Alex
--
| Sage Version 4.1.1, Release Date: 2009-08-14
Hi all:
Pardon my re-post of this message. I forgot to update the subject
line.
Thanks to those who worked on closing ticket 6243 regarding
derivatives as dictionary keys for the release of Sage 4.1.1. It
appears that there's still a bug, though (see below).
Alex
0700 (PDT)
>
>
>
> Alex Raichev wrote:
>
> > Hi all:
>
> > Upon upgrading to Sage 4.0, i can no longer make a dictionary with
> > derivatives as keys (see below). Can someone please fix this?
> > -
Hi all:
Upon upgrading to Sage 4.0, i can no longer make a dictionary with
derivatives as keys (see below). Can someone please fix this?
Alex
--
| Sage Version 4.0, Release Date: 2009-05-29 |
| Type not
ble' object has no attribute 'left'
sage: solve([x==0,x==x],x)
[[x == 0]]
sage: solve([x==0,x==x],x,solution_dict=True)
[{x: 0}] # Interesting
On May 7, 1:34 pm, Alex Raichev wrote:
> Hi all:
>
> Is this a bug in solve()?
>
> Alex
>
> ---
Hi all:
Is this a bug in solve()?
Alex
--
| Sage Version 3.4.1, Release Date: 2009-04-21 |
| Type notebook() for the GUI, and license() for information.|
---
Hi all:
How do you retrieve the name of a callable symbolic function as a
string? For instance, suppose you have
sage: f= function('hello',x)
and you want to retrieve 'hello' from f.
sage: str(f)
'\n hello(x)'
followed by stripping away the extra characters
Hi all:
It looks like there's a tiny bug in subs_expr(): it hangs when given
the empty dictionary.
Alex
--
| Sage Version 3.4, Release Date: 2009-03-11 |
| Type notebook() for the GUI, and license() for
Thanks for the news, William. I will hold off on this chain rule
business till the new symbolics arrive.
Alex
On Apr 24, 3:43 pm, William Stein wrote:
> On Thu, Apr 23, 2009 at 7:18 PM, Alex Raichev wrote:
>
> > Hmm, implementing the chain rule is trickier than i
. Problems:
(a) How do you split apart a symbolic expression to scan for
compositions?
(b) How do you construct Df so that you can compose it with g?
Both thwart me and my white belt Sage-fu.
Any helpful suggestions for (a), (b), or the general project?
Alex
On Apr 23, 1:43 pm, Alex Raichev
Woops, that ain't right: 'write'.
On Apr 23, 1:43 pm, Alex Raichev wrote:
> Never mind. I'll just right a short recursive function. It's easy
> enough.
>
> Alex
>
> On Apr 23, 11:10 am, Alex Raichev wrote:
>
> > Hi all:
>
> >
Never mind. I'll just right a short recursive function. It's easy
enough.
Alex
On Apr 23, 11:10 am, Alex Raichev wrote:
> Hi all:
>
> Do any of you know how to get Sage to use the chain rule and expand
> the derivative of a composition involving one or two callabl
Hi all:
Do any of you know how to get Sage to use the chain rule and expand
the derivative of a composition involving one or two callable symbolic
functions? Here's an example with one callable symbolic function.
--
| Sage Vers
Hi all:
I want to sync my version of Sage 3.4 with the latest change sets. So
in a notebook worksheet i typed
hg_sage.pull()
and got the error
cd "/Applications/sage/devel/sage" && hg status
cd "/Applications/sage/devel/sage" && hg status
cd "/Applications/sage/devel/sage" && hg pull -u
http
I suppose the same issue applies to other common functions, such as
the sine function.
Alex
--
| Sage Version 3.4, Release Date: 2009-03-11 |
| Type notebook() for the GUI, and license() for information.
Hey Mike and Luis:
> > (5) Factorize polynomials in Q[x,y,z,t,a] extracted from
> > numerators/denominatos of rational functions.
>
> We can do this via Maxima. First we convert f to Maxima and call the
> factor command passing in the defining polynomial for the number
> field. Then we extract
Here's another one for you, Burcin...
Alex
sage: var('n',ns=1)
n
sage: (QQbar(2)^3)^n
---
TypeError Traceback (most recent call
last)
/Users/arai021/ in ()
/Applications/sage/local/lib/pytho
It seems my math projects keep breaking things...
Alex
--
| Sage Version 3.4, Release Date: 2009-03-11 |
| Type notebook() for the GUI, and license() for information.|
--
| Sage Version 3.4, Release Date: 2009-03-11 |
| Type notebook() for the GUI, and license() for information.|
--
sage: var('x,y
Sweet!
Alex
On Mar 12, 5:07 pm, William Stein wrote:
> On Wed, Mar 11, 2009 at 5:23 PM, Alex Raichev wrote:
>
> >> What would you want to do with QQbar in the Symbolic Ring?
>
> > Everything: differentiate functions with coefficients in QQbar,
> > integrate them
> What would you want to do with QQbar in the Symbolic Ring?
Everything: differentiate functions with coefficients in QQbar,
integrate them, etc.
I too don't know anything about Maxima or the new symbolics
package in preparation --Pynac is it? So, i'm just standing on the
sidelines cheering
-packages/sage/
structure/coerce.so in
sage.structure.coerce.CoercionModel_cache_maps.bin_op (sage/structure/
coerce.c:5847)()
TypeError: unsupported operand parent(s) for '*': 'Algebraic Field'
and 'Symbolic Ring'
On Mar 11, 5:01 pm, Robert Bradshaw
wrote:
> On Mar 10, 2009, at 8:57
Does anyone know what's up with this weird error? Sage can multiply a
symbolic variable and a constant of a polynomial ring R but not a
symbolic variable and an element of R.base_ring().
Alex
sage: var('t')
t
sage: K.= NumberField(t^2+2,'a')
sage: R.= PolynomialRing(K)
sage: t*R(a)
a*t
sage: t*
Maybe i'm beating a dead horse here, but i think the variety() command
has another bug in it (different from
http://trac.sagemath.org/sage_trac/ticket/4622
). It crashes when working over number fields with the optional
command 'ring=QQbar', possibly because it doesn't first embed the
number fie
ust referenced, I end up with a
> ring, AC, in which the solutions are supposed to be stored in 'SOL'.
> I can execute singular.setring(AC), but cannot subsequently access the
> solutions.
>
> Thanks,
> Dave
>
> On Feb 25, 1:49 pm, Alex Raichev wrote:
>
> &g
Hi Dave:
Once you have your zero-dimensional ideal K within a Sage ring, you
could try the variety() command
K.variety(ring=QQbar) or
K.variety(ring=CC)
to get its solutions as algebraic numbers or complex floating point
numbers, respectively. See 'variety()' under
http://www.sagemath.org/doc
Thanks for your clarification and help, Carl.
Alex
On Feb 24, 5:15 pm, Carl Witty wrote:
> On Feb 23, 7:57 pm, Carl Witty wrote:
>
> > On Feb 23, 6:54 pm, Alex Raichev wrote:
>
> > > Carl, regarding the parenthetical remark of your first reply, are you
> > &
self, x)
/Applications/sage-3.3/local/lib/python2.5/site-packages/sage/rings/
qqbar.pyc in __init__(self, parent, x)
TypeError: Illegal initializer for algebraic number
On Feb 21, 11:05 am, Alex Raichev wrote:
> Sweet! Thanks, Carl.
>
> Alex
>
> On Feb 20, 8:08 pm, Carl Witty w
Sweet! Thanks, Carl.
Alex
On Feb 20, 8:08 pm, Carl Witty wrote:
> On Feb 19, 10:16 pm, Carl Witty wrote:
>
> > There's a bug. And, now that you've pointed out the bug, I figured
> > out how to crash Sage with a segmentation fault; so it's a serious
> > bug. Thanks for reporting it! This bu
Hi all:
I get an error when i try to coerce monomials of a multivariate
polynomial ring over a number field to the corresponding polynomial
ring over QQbar. Shouldn't this work? They're monomials; no
coefficients. Here's an example.
Alex
--
by typing "singular.console()". I
> suggest you look at the Singular documentation.
>
> David
>
> On Jan 22, 12:46 am, Alex Raichev wrote:
>
> > Hi all:
>
> > I have a geometry question. Given an ALGEBRAIC variety V in CC^n
> > defined by a single pol
Hi all:
I have a geometry question. Given an ALGEBRAIC variety V in CC^n
defined by a single polynomial and given a point p in V, how do you
compute the number of (distinct) irreducible ANALYTIC components of V
passing through p?
For example, let f = y^2 -x^2*(1 +x). Then the variety V(f) has
> So, I'm curious, did you envision your proposal to be to automate all
> bookkeeping in translating between QQbar (as presented to the user)
> and numbers fields (as fed to the backend Singular)? I think this
> would be very nice and useful.
That's exactly what i was thinking of. I know such
Hi everyone:
I'm applying for a grant from the New Zealand government to fund some
Sage development in the area of computational algebraic and analytic
geometry. For part of the application i need to report on the 'state
of the field'. Part of my response to this will be to mention that
Sage do
Hi all:
I posted this question in September but still haven't been able to
resolve the issue: how do i run Maple in Sage? Here's an example
session (run on my Mac) illustrating the problem.
Alex
--
| Sage Version 3.2, Release
, but i am learning more about Sage
every day and my next job might support this endeavor more than my
present one. So perhaps in the future i can work on this.
Alex
On Dec 4, 9:31 am, Carl Witty <[EMAIL PROTECTED]> wrote:
> On Nov 30, 1:27 pm, Alex Raichev <[EMAIL PROTECTED]> w
> It would be helpful if you could give a more concrete example, e.g., a session
> where you have some elements, and finally want to do something with them.
That's good idea, William. Let me back up to and change my question
to a more fundamental one. How does one compute in QQbar with Sage?
Fo
Hi all:
I have a list c of elements of QQbar and want to form the field
generated by QQ and the elements of c. What's the easiest way to do
this?
I looked through section 29.1 Number Fields of the Sage reference
manual, but couldn't find a simple solution using the functions
mentioned there
Here's an even simpler and more disturbing error with variety(). Is
this just my installation?
Alex
--
| Sage Version 3.2, Release Date: 2008-11-20 |
| Type notebook() for the GUI, and license() for info
Hi all:
Do any of you know what is going wrong with the variety() command in
the example below? Sometimes it works, and sometimes it doesn't. The
problem seems to be variety()'s call to triangular_decomposition().
Alex
--
| S
Hi all:
I think i found a small bug relating to QQbar, the algebraic closure
of the rationals.
| Sage Version 3.2, Release Date:
2008-11-20 |
| Type notebook() for the GUI, and licens
Hi all:
I want to check if an expression A is a complex number? I tried the
obvious
sage: if A in CC:
print "Yep."
but that doesn't work. For instance,
sage: sqrt(2) in CC:
False
One method that does work is
sage: try:
CC(A)
except:
print
Thanks, Martin.
On Nov 10, 8:07 pm, Martin Rubey <[EMAIL PROTECTED]> wrote:
> Alex Raichev <[EMAIL PROTECTED]> writes:
> > Hi all:
>
> > Is there Sage function that computes Taylor expansions for
> > multivariate functions?
>
> If you are willing to ins
Hi all:
Is there Sage function that computes Taylor expansions for
multivariate functions?
Alex
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For more option
Hi all:
Is there a Sage command similar to Maple 11's 'simplify/siderels'
which simplifies an expression with respect to given relations? I
couldn't find mention of such a command in the Sage documentation.
For more details, here's the Maple 11 help documentation.
Alex
=
ers/arai021/.sage//temp/prj_\ read
"/Users/arai021/.sage//temp/prj_567_106.cs.auckland.ac.nz/4643//
interface//tmp4643";
#-->567_106.cs.auckland.ac.nz/4643//interface//tmp4643";
sage2
#-->read "/Users/arread "/Users/arai021/.sage//temp/
prj_567_106
Hi William:
The same thing happens to me on Mac OS X. How do i fix this?
Alex
--
| SAGE Version 3.1.2, Release Date: 2008-09-19 |
| Type notebook() for the GUI, and license() for information.|
---
:
-> 5142 raise ValueError, "variable name is not a valid
Python identifier"
5143
5144 def __hash__(self):
ValueError: variable name is not a valid Python identifier
Alex
On Sep 19, 1:18 pm, Alex Raichev <[EMAIL PROTECTED]> wrote:
> Sweet! Thank
Sweet! Thanks, Mike.
On Sep 19, 11:56 am, "Mike Hansen" <[EMAIL PROTECTED]> wrote:
> On Thu, Sep 18, 2008 at 4:54 PM, Alex Raichev <[EMAIL PROTECTED]> wrote:
>
> > Now, with the above in mind, how do you write a function to evaluate
> > that sine limit
ou execute functions requiring keyword
arguments, such as limit(), when you don't know the symbolic variable
names involved (but have references to them)?
Alex
On Sep 19, 9:22 am, Alex Raichev <[EMAIL PROTECTED]> wrote:
> Thanks for clarifying that issue, Mike.
>
> Alex
>
> On Se
Thanks for clarifying that issue, Mike.
Alex
On Sep 18, 3:38 pm, "Mike Hansen" <[EMAIL PROTECTED]> wrote:
> Hi Alex,
>
> > sage: limit(sin(y[0])/y[0],y[0]=0)
> >
> > File "", line 1
> > SyntaxError: keyword can't be an expression (,
Hi all:
There seems to be a bug in how the limit() function handles variables
in its second argument. Here are two examples.
Alex
-
| SAGE Version 3.0.6, Release Date: 2008-07-30 |
| Ty
Excellent! The "f.lift" command is exactly what i am looking for.
Thanks for your help, Martin.
Alex
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For more o
Dear Sage support:
Hilbert's Nullstellensatz states that a system of polynomial
equations f_1(x) = 0,..., f_s (x) = 0, where f_i in K[x_1,..., x_n ]
and K is an algebraically closed field, has no solution in K^n if and
only if there exist polynomials a_1,..., a_s in K[x_1,..., x_n ] such
that 1
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