On Monday, June 21, 2021 at 1:32:07 PM UTC-5 wst...@gmail.com wrote:
> On Mon, Jun 21, 2021 at 10:08 AM john_perry_usm wrote:
>
>> Hello!
>>
>> > Is this also published on CoCalc?
>>
>> Not at the present time. I do mean to talk to someone about
forward to reading it more in detail.
> Just two quick questions to get started.
> Is this also published on CoCalc?
> Why do you prefer the use of Sage Worksheets over Jupyter Notebook?
> Best wishes
> Ingo
> john_perry_usm schrieb am Sonntag, 20. Juni 2021 um 02:58:57 UTC+2
Greetings
Five years ago, a couple of colleagues and I began writing a Sage-based
textbook to serve a class we teach at our institution. When we announced it
to Sage users, we received an encouraging reception and excellent feedback.
If that was meant to discourage us, it failed completely.
Have you tried this?
sudo xattr -r -d com.apple.quarantine
It removes the "quarantine" signal on files. I used it to get Sage running
on Catalina. I've had to use this with some other things, too. I learned of
it through one of the StackOverflow sites, and it may also be in Sage's
On Linux (bash) I use the less command, tell it that yes I want to read the
binary file, then press >. That takes me to the end of the history, and I
can read what's there. However, it doesn't seem to have the most recent
commands.
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On Friday, August 7, 2020 at 12:45:23 PM UTC-5, kcrisman wrote:
>
> The first problem is the Apple "quarantine". I found the fix to that
>> (thanks!) but perhaps a note should be added to the download webpage, just
>> as there's a note about MacOS 10.11? I mean this: "On OS X version 10.11
>>
OK, the problem seems to have been quarantine; as in, I knew I needed to
remove the quarantine bit on 8.7, but I didn't realize that I had to remove
it on 9.1 as well.
At least, I *think* that's what went wrong. Here's what I did:
- Removed the old (nonworking) SageMath 9.1.
- Re-mounted
Hello
I recently upgraded to MacOS 10.15. I can get Sage 8.7 to work (more on
that in a moment) but Sage 9.1 doesn't.
The first problem is the Apple "quarantine". I found the fix to that
(thanks!) but perhaps a note should be added to the download webpage, just
as there's a note about MacOS
On Wednesday, August 5, 2020 at 6:28:42 AM UTC-5, Santanu wrote:
>
> Dear all,
> Consider ideal I= over the binary field GF(2).
> Then (x2).reduce(I) gives x2. I want it to be x0*x1.
> In fact , I want this kind of reduction always should give quadratic
> polynomial
> (I know that this is
To follow up on Simon King's mostly correct answer:
1) The joke I was trying to make is that it's "immaculate" only if it's
free of all bugs.
2) In Catholic theology it is not actually "necessary" for Mary to be free
of original sin; rather, it is "fitting".
john perry
On Wednesday, March
Apologies for the pedantry, but unless the indeterminates so generated are
free of all bugs, then strictly speaking this is not immaculate conception;
it is spontaneous generation, or perhaps virginal conception. ;-)
john perry
On Tuesday, March 19, 2019 at 6:52:19 AM UTC-5, Emmanuel
This doesn't work for me at all on CoCalc; it gets stuck in an infinite
loop because of the matrix A. If I move the definition of A into the body
of the loop, it seems to work. Like so:
@interact
def linear_transformation(theta=slider(0, 2*pi, .1), r=slider(0.1, 2, .1,
default=1)):
Hello
This is about SageMathCloud. Sorry if this is now the wrong place for this.
Not too long ago, to edit a Sage HTML cell you could just shift+click on
the line above a cell. This opened up a kind of WYSIWYG editor with some
helpful buttons & the like. I'm quite sure this used to work in
On Friday, August 26, 2016 at 6:57:22 AM UTC-5, Nathann Cohen wrote:
>
> Then accept that I see it as rather misleading when William say that his
> objective to make **a lot of money** to "fund Sage development", and that
> by that he includes "earn himself money". His message hinted at a kind
Actually, your answer stimulated a much better solution (IMHO).
def test_subs(f, a, x=x):
f(x) = f
print f(a)
Thanks for the stimulating thought.
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Hi!
When demonstrating stuff in class, I often want the variable to be an
argument to a function:
def test_subs(f, a, x=x):
print f(a)
This works if f is a function. If f is not a function, Sage issues a
DeprecationWarning (rightly, IMHO). So we could try this:
def test_subs(f, a, x=x):
On Monday, May 2, 2016 at 1:56:55 PM UTC-5, Ralf Stephan wrote:
>
> That you can't trace Cython is fortunately not true.
> I do it from time to time using gdb when I trace pynac code.
>
Can you trace Cython *in Sage*? If so, I was genuinely unaware of that (or
forgot).
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> If you want speed to study it, implementing it yourself in Sage is (IMHO)
> a good idea because Sage has fairly good debugging facilities like a trace
> function, and you can compile parts of it via Cython.
>
Oops. Speaking of wrong impressions, I should qualify this statement: last
I
On Friday, April 29, 2016 at 1:07:31 PM UTC-5, saad khalid wrote:
>
> However, what are other things? And do you think it would actually be
> worthwhile? It's an algorhythm for calculating groebner bases. I don't know
> if that matter. I just didn't know if the language would give any sizable
Whoops! I have to walk that back: I was attaching the wrong file! (Ended up
in the wrong directory, tab-completion did the rest.) The include command
*does* still work.
Sorry for the false alarm,
john perry
On Monday, June 8, 2015 at 3:27:46 PM UTC-5, john_perry_usm wrote:
Hello Volker
Hello Volker ( others with interest)
I get the same error in Sage 6.7, but this time adding the recommended
include directive to the Cython file doesn't work. Error message below, but
I note that a workaround (however temporary) is to modify the offending
file, si_gmp.h, so that
# include
Gentlemen! I only returned to this today, but I get it now. Thanks! I'm not
sure whom to mark as best answer, though; both seem equally good.
john perry
On Saturday, January 24, 2015 at 2:54:22 PM UTC-6, Andrew Ohana wrote:
On Fri, Jan 23, 2015 at 8:13 PM, john_perry_usm john@usm.edu
You can do e[3,2,1,1].expand(3) to get it expanded in x0, x1, and x2.
(more generally, x[i1,i2,...,im].expand(k) will give the expansion in
x0,x1,...,x(k-1).
I *don't* want it in the x's, though; I want it the e's. I wrote
e1=x1+x2+x3 merely to illustrate what I meant by e1. Look back
Try the following:
sage: e = SymmetricFunctions(QQ).e() # construct the symmetric functions
with the e basis
sage: m = SymmetricFunctions(QQ).m() # ditto but with the monomial basis
sage: m421 = m[4, 2, 1] # create the monomial you care about
sage: e(m421) # coerce the monomial into the
Duh. It's the 'frame' option. Hadn't seen that before; sorry for the noise.
john perry
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Hello!
In 2d, it's easy to create a plot without axes: either show(p,axes=False)
or p.axes(False).
In 3d, this fails silently with the show command, while the dot-command is
rejected outright.
I would like to produce 3d plots without axes. Is there a way to suppress
the generation of axes in
Actually, maybe it's the bounding box I'm seeing. Either way, I want just
the object itself (e.g., a sphere), not any lines or boxes added by Sage or
the viewers.
john perry
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Hello
I tried to attach a Cython file that worked in previous versions of Sage
(incl Sage beta 6.4.1) to Sage beta 6.5.1, but it fails:
sage: %attach dynamic_algorithm_with_skeleton.pyx
Compiling ./dynamic_algorithm_with_skeleton.pyx...
Error compiling cython file:
Error compiling
Hello
This was a little unwelcome:
sage: %attach dynamic_algorithm_with_skeleton.pyx
Compiling ./dynamic_algorithm_with_skeleton.pyx...
...deleted a lot of stuff you don't want to see...
In file included from
/Applications/sage-6.5.beta1/local/include/singular/structs.h:15:0,
UTC+3, john_perry_usm wrote:
Hello
This was a little unwelcome:
sage: %attach dynamic_algorithm_with_skeleton.pyx
Compiling ./dynamic_algorithm_with_skeleton.pyx...
...deleted a lot of stuff you don't want to see...
In file included from
/Applications/sage-6.5.beta1/local/include/singular
Hello
Is there anyway to check is a linear program which has been implemented by
MixedIntegerLinearprogram
has a solution or not.
Try creating solving your program. If it has no solution, Sage will throw
an exception. The exception will contain a message with some information,
though
I'm looking for formal outputs that are not calculated as a human can do
(this is for a free french book). Do you know such kind of examples ?
Like Simon, I'm no sure if this is what you mean, but Bruno Buchberger was
for a while working on a proof-generating system called *Theorema,* and
Hello!
Try this sequence of commands:
sage: R = PolynomialRing(GF(32003), 'x', 4)
sage: I = sage.rings.ideal.Cyclic(R,4).homogenize()
sage: GF = I.groebner_fan()
sage: GBs = GF.reduced_groebner_bases()
sage: [g.lm() for g in GBs[0]]
[x2^2*x3^6, x2^3*x3^2, x1*x3^4, x2^2*x3^4, x1*x2*x3^2,
I didn't find this answered clearly when searching other people's questions
on this topic yesterday, but: I encountered this yesterday, and in my case
(OSX Mavericks, Xcode 5.1.1) the problem is fixed by building from source,
rather than using a binary.
regards
john perry
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Suppose I have 2/sqrt(5). Is there a straightforward way of rationalizing
it?
regards
john perry
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And I guess it does not like to never know how many constraints there will
be, and I fear that it does a lot of useless copies when you add a
constraint (perhaps it copies the whole matrix just to add one line ?).
I think this is right. Allocating copying such a huge matrix repeatedly
Instead of CC, try using QQ[i]. That works for me, giving the basis
[x + 4/25, y - 24/25]
john perry
On Monday, February 17, 2014 10:37:30 AM UTC-6, sahi...@gmail.com wrote:
Hi:
I am trying to obtain solution of a system of polynomial equations with
complex coefficients without
ACK! Make sure I=sqrt(-1) first!
john perry
On Monday, February 17, 2014 10:37:30 AM UTC-6, sahi...@gmail.com wrote:
Hi:
I am trying to obtain solution of a system of polynomial equations with
complex coefficients without success. For example, when I try
S.x,y =
The actual computation I had in mind requires a somewhat more convoluted:
sage: R = QQ[sqrt(-1)]
sage: RI = R.gens()[0] # necessary, since Sage's I is symbolic, and causes
issues
sage: S.x,y = PolynomialRing(R,order='lex')
sage: SI = S.ideal((1+RI)*x+y,x+(1-RI)*y-(1-RI))
sage:
my posts about the dual simplex method and warm restart here are met
with deafening silnce...
Actually, I'm very interested in it, and that's one of the reasons I was
suggesting this. Although I believe its possible to run dual simplex in
GPLK with the current implementation (it's a
--
what do you guys think?
john perry
On Monday, February 10, 2014 4:53:38 PM UTC-6, Dima Pasechnik wrote:
On 2014-02-10, Erik Quaeghebeur sa...@equaeghe.nospammail.netjavascript:
wrote:
op 09-02-14 19:12, john_perry_usm schreef:
Actually, I was thinking of doing it when I have time
On Sunday, February 9, 2014 7:15:02 AM UTC-6, Nathann Cohen wrote:
For my purpose of learning Cython, this approach was more useful and
certainly faster.
As for this works usefulness for Sage: the numerical module is far more
than just a wrapper for GLPK (also, but not limited to,
Then (by GLPK default), presolving is turned off, and then a warm start
will be performed when the basis still present in the solver object is
still valid. So this should work when only changing the objective
function. Otherwise (for constraint add/remove or for bound change), the
LP
On Thursday, January 16, 2014 9:24:05 AM UTC-6, Erik Quaeghebeur wrote:
Hi,
Does MixedIntegerLinearProgram allow for warm restarts, meaning that
after solving a first time one changes the objective and resolve,
starting from the feasible solution of the previous solver run?
It's my
Does the zorder option do what you want?
On Wednesday, December 11, 2013 4:20:51 PM UTC-6, willg...@hotmail.co.uk
wrote:
Please help, my coursework deadline is tomorrow.
I'm doing a piece on circular motion, I have a simple animation of a point
moving in a circle, and a static circle I want
The only time I remember seeing something similar to this was when the
Javascript interpreter broke on my web browser (not Safari -- I use some
experimental browsers from time to time, like Midori, Rekonq, etc.). What
fixed it for me was restarting the web browser. I would suggest that, if
Here's a different approach, which is more efficient, but poses its own
challenges:
sage: I = R.ideal(x^2)
sage: Q = R.quo(I)
sage: f = Q(x^3*y^3 + x^2*y^4 + x*y + x + y + 1)
sage: f
xbar*ybar + xbar + ybar + 1
So, the variables look different, and with reason. But:
sage: %timeit
Dima Nathann
What he's facing is an annoyance. Would it be feasible (ha ha) to rewrite
the creation of constraints so that variables are automatically created in
the LP if they're not there? That is, rather than looking for a workaround
for the user, should we see this as an opportunity for
Hello
On several recent flavors of Linux, I am unable to get Sage's server to
talk to clients on other machines. For instance,
sage:
notebook(accounts=True,port=8080,interface='atlas.st.usm.edu',secure=True)
starts a server successfully, and I can bring up the notebook interface
using a
I have uploaded a patch to the trac, ticket 13732, which fixes this for all
the plot commands that seem to accept alpha. (To find them, I performed a grep
alpha sage/plot/*py and looked at those files.) The doctests in sage/plot
pass for me, though I had to make some changes to older doctests
Out of curiosity, how is F defined?
I don't know if this is the cause, but when I try something similar, I get
a problem with y[n]: 'sage.symbolic.expression.Expression' does not support
indexing. Since it's a different error, you're probably encountering
something else.
john perry
On
Help!
The documentation for implicit_multiplication states,
INPUT:
* level - an integer (default: None); see implicit_mul() for a
list
Being the curious sort, I wanted to see the list. These are the results:
sage: implicit_mul?
Object `implicit_mul` not
Found the issue: implicit_mul is not visible in iPython.
Is that correct documentation, then? Kind of embarrassing that after 5
years using Sage, I still don't know...
john perry
On Wednesday, January 16, 2013 9:41:59 AM UTC-6, john_perry_usm wrote:
Help!
The documentation
PS If anyone in the future has the same question comes across this: this
can be fixed easily with
sage: from sage.misc.preparser import implicit_mul
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Jason
On Wednesday, December 19, 2012 8:50:45 PM UTC-6, Jason Grout wrote:
Does this message not appear when you use the open_viewer option?
Yes, but did you read it? The only clear interpretation is that the
open_viewer option has been dropped completely, not that a value of
admin_login
Hello
Why does the notebook no longer allow the open_viewer=False option? It's
really annoying to have another web browser pop up, when I already have one
open.
(Yes, I could reconfigure my desktop if I really had to, but think of all
the poor chumps out there who can't, or won't.)
john
On Wednesday, December 19, 2012 12:08:40 PM UTC-6, P Purkayastha wrote:
It changed and got merged with another option - use
automatic_login=False instead.
Thanks.
Do we not have a deprecation policy? Sage 5.0 from May of this year allows
the option open_viewer with no warning whatsoever;
On Saturday, December 8, 2012 11:07:31 AM UTC-6, Santanu wrote:
Thank you. But when I try to solve
f1=x1 + x2 + x4 + x10 + x31 + x43 + x56 ,
f2=x2 + x3 + x5 + x11 + x32 +x44 + x57,
it becomes very slow. Is there any faster approach like
F4 algorithm available in Sage?
F4 is not yet
Hello
Sage VM runs Chrome in kiosk mode, and refuses to get out of kiosk mode (I
can press F11 to my heart's content; it doesn't change anything), therefore
won't allow any changes to its settings. The settings certainly need to
change for non-trivial work, as when I'd like to save a worksheet
On Monday, December 3, 2012 1:24:38 PM UTC-6, Volker Braun wrote:
Really I see the browser running inside the VM as a crutch for those that
can't use their host browser because of a misconfigured firewall.
Pshaw. For some reason I was under the impression that this wasn't working
anymore.
Hello
Finally got round to it.
On Thursday, November 15, 2012 11:44:36 AM UTC-6, Volker Braun wrote:
I think I saw that before. Maybe converting coordinates to RDF works?
Please open a ticket if you can isolate a test case.
RDF doesn't work, either. float does.
I'm trying to write up a
Jason
On Thursday, November 15, 2012 12:01:02 PM UTC-6, Jason Grout wrote:
Can you get a small test case for us to play with?
sage: p = disk((0,0),5,(0,pi/4),color='red')
sage: p += disk((0,0),5,(pi/4,pi/2),color='red',alpha=0.5)
sage: p.save(test.pdf)
This fails for me. If I change the
Okay, does anyone know how I change files in the library in such a way that
mercurial actually notices?
I can modify the matplotlib backend for PDF's so that this works, but those
files don't show up in the source directory, so hg doesn't pick up on the
changes. How do I supply a patch for
Hello
I have created a nice graphic with some alpha. I try to save it. As a Sage
object, I have no problem. The EPS representation doesn't preserve the
alpha. The PNG does, but I'd prefer vector graphics.
The PDF representation chokes on it. I get the error,
TypeError: Don't know a PDF
I will try that, thanks. I'll also open a ticket in coming days.
john
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Hello
If your version of sage is older than 5.0, then I'm afraid you need to
upgrade. :-( Otherwise, the documentation does actually suggest a fix,
though since I wrote the documentation based on my experience of the error,
it might not be clear. After reading the rest of this reply, please
Argh, I just realized that this statement:
Otherwise, the documentation does actually suggest a fix...
...is true only if p were a GLPK_backend instance. It's not true for an
instance of MixedIntegerLinearProgram. Kindly disregard the request about
checking the documentation. I will wonder
Hello
When I finished building Sage on my Ubuntu 10.0something, I got the message,
Build finished. The built documents can be found in
/atlas/sage-5.0/devel/sage/doc/output/html/tr/a_tour_of_sage
I went to that page, and the first thing I saw was,
Hesap Makinesi Olarak Sage
Funny.
On Tuesday, May 29, 2012 5:51:24 PM UTC-5, John H Palmieri wrote:
Probably because the top level of your file system is named atlas, and
Atlas stands somewhere in Africa with the world on his shoulders. Sage
builds its documentation partially based on aspects of Greek mythology.
LOL That
On Monday, May 14, 2012 7:32:25 PM UTC-5, Emil wrote:
lp = MixedIntegerLinearProgram(maximization=True)
x = lp.new_variable()
Then I do:
nlp = copy(lp)
x = nlp.new_variable()
The variable 'x' now seems to contain different variables. So I cannot
add any constraints that use the
It was certainly broken as of 4.7.2, which is not quite far enough
back to test.
john perry
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I checked 4.6.2 (I still have a copy!) b/c I was wondering if the
massive patch we recently did might have affected it. Unfortunately,
it doesn't work there, either.
john
On Mar 12, 2:18 pm, Simon King simon.k...@uni-jena.de wrote:
Hi John,
On 12 Mrz., 18:39, john_perry_usm john.pe...@usm.edu
On Feb 19, 6:38 am, ObsessiveMathsFreak
obsessivemathsfr...@gmail.com wrote:
Basically, I want to restrict the variables of a multivariate
polynomial to a certain set of symbols.
B.variables() should return
[x,y]
instead of
[a,x,y]
How can this be done.
Maybe I misunderstand you, but
Hi
In the notebook, what is the difference between Discard quit and
Save quit?
regards
john perry
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On Wed, Jan 25, 2012 at 10:45 AM, Jason Grout
IIRC, if you have been editing a cell, but have not yet evaluated it, or
if
you have edited a text cell but not yet saved it, then Discard will throw
away those changes, and Save will save them. Note that if you evaluate a
cell, it
Hi
sagenb doesn't seem to be working. A student of mine is about to
defenestrate herself (her words) because it's not working.
If this is expected downtime; my apologies -- she wasn't supposed to
be using sagenb in the first place, but that's life. :-)
regards
john perry
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On Dec 5, 11:54 am, William Stein wst...@gmail.com wrote:
On Dec 5, 2011 9:47 AM, john_perry_usm john.pe...@usm.edu wrote:
sagenb doesn't seem to be working. A student of mine is about to
defenestrate herself (her words) because it's not working.
...
I have just initiated restarting
The following code quickly consumes all available memory on the machine:
sage: P = MixedIntegerLinearProgram(solver=Coin)
sage: P.add_constraint(P[0]+P[1]==1)
sage: while True:
: P = copy(P)
: w = solve(P)
A ticket has been opened, #12004. If the solver is GLPK, however, this issue
On Oct 21, 10:17 am, Urs Hackstein urs.hackst...@googlemail.com
wrote:
I wonder what kind of systems of inequalities can be solved using sage
and whether there are other routines than solve?
You can solve linear programs using several different packages, such
as cvxopt and
hi
I can't seem to get away with this:
from cvxopt.base import matrix as opt_matrix
cdef opt_matrix i_rock
I can't cimport it, either; there is no cvxopt.pxd.
(a) I think I understand why; cvxopt is a Python extension. Is that
right?
(b) Is there any way to get cython to recognize
Try this:
sage: I3_red_I2 = R.ideal([p.reduce(I2gb) for p in I3gb])
regards
john perry
On Sep 28, 12:24 am, Vinay Wagh wagh...@gmail.com wrote:
Suppose I have two ideals I J in k[X_1,\cdots,x_n], where k is a
field. How do I reduce an ideal I wrt ideal J.
e.g. Singular provides me a
On Sep 1, 4:50 am, Martin Albrecht martinralbre...@googlemail.com
wrote:
Funny you should ask because this was just fixed at SD32 where we ran
into each other:
http://trac.sagemath.org/sage_trac/ticket/11680
I actually read part of that ticket when I was there, though a lot
more took place
...@googlemail.com
wrote:
Hi John,
see attachment. You'll have to change the cinclude path for it to work on your
machine.
On Monday 25 July 2011, john_perry_usm wrote:
On Jul 25, 6:46 am, Martin Albrecht martinralbre...@googlemail.com
wrote:
You'll need to compile your extension module (i.e
Should this be a feature of an element of a finite field? As you point
out, it doesn't seem too hard to implement, and would seem to be an
important feature.
john perry
On Aug 25, 12:32 pm, Simon King simon.k...@uni-jena.de wrote:
Hi Santanu!
On 25 Aug., 18:03, Santanu Sarkar
Simon's solution looks like it would solve what I wanted at the time,
but right now I think I will return to one file, debug everything
(since things are still in a state of flux) then separate it into
several files use a setup.py.
Thanks for the suggestions and insight!
john
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Hi
I have a file type1.pyx that defines an extension type Type1, and a
file type2.pyx that defines an extension type Type2. Some attributes
of Type2 are of type Type1. If I have the types in one file,
everything runs fine; I'd like to separate them into different files.
I placed these files in a
/ftmpl_array.h:43: error: expected ‘=’, ‘,’,
‘;’, ‘asm’ or ‘__attribute__’ before ‘’ token
-
then more of other types.
john
On Jul 24, 10:34 pm, William Stein wst...@gmail.com wrote:
On Sunday, July 24, 2011, john_perry_usm john.pe...@usm.edu wrote:
What about
On Jul 25, 6:46 am, Martin Albrecht martinralbre...@googlemail.com
wrote:
You'll need to compile your extension module (i.e. your pyx file) with C++
instead of C. See
http://sagemath.org/doc/developer/coding_in_cython.html#special-pragmas
From that link, I understood that I need to prepend
I want to declare c to be of the type defined by the class Rational.
I'm sure this is easy, but what I want to do is this:
from sage.rings.rational import Rational
cdef Rational c
but that doesn't work. Neither does cimport (which I found in a file
somewhere, albeit commented out, and
, john_perry_usm john.pe...@usm.edu wrote:
I want to declare c to be of the type defined by the class Rational.
I'm sure this is easy, but what I want to do is this:
from sage.rings.rational import Rational
cdef Rational c
but that doesn't work. Neither does cimport (which I found
Are you sure there is a solution? I've plotted a few of them, and they
don't seem to have common intersections. I didn't check them all,
though.
regards
john perry
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Sorry -- I meant, they don't seem to have common intersections in the
*positive* quadrant.
On Jun 23, 12:44 pm, john_perry_usm john.pe...@usm.edu wrote:
Are you sure there is a solution? I've plotted a few of them, and they
don't seem to have common intersections. I didn't check them all
Of course, with 100 polynomials, any computer algebra system might cry
uncle when trying to compute the Groebner basis... depends on the
system.
regards
john perry
On Jan 28, 8:34 am, Simon King simon.k...@uni-jena.de wrote:
Hi,
On 28 Jan., 15:19, Santanu Sarkar sarkar.santanu@gmail.com
sage: search_src('motzkin')
sage:
Looks to me like it isn't, but that may not be the best approach. :-)
I could use this at some point myself, so if knowledgeable people can
confirm that it isn't, then perhaps a ticket should be created.
regards
john perry
On Jan 24, 12:47 am, tvn
Hi
Is there a simple way of creating a quantified subset of a set? I'm
looking for something along the lines of,
sage: S = set([0,1,2])
sage: U_S = S.subset(lambda x: x.is_unit()); U_S
1
It seems like this should be doable in a straightforward way.
regards
john perry
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To post to this
sage to only consider integer vectors x as solutions.
On Sep 8, 6:20 am, john_perry_usm john.pe...@usm.edu wrote:
Are you asking whether q=p_1*p_2+...+p_5*p_6? If so, you can simply
construct q and the p_i, then test for equality:
sage: q == p_1*p_2 + ... + p_5*p_6
True (or False
Are you asking whether q=p_1*p_2+...+p_5*p_6? If so, you can simply
construct q and the p_i, then test for equality:
sage: q == p_1*p_2 + ... + p_5*p_6
True (or False, depending)
(you would fill in the ellipsis with the form you want, which is not
obvious to me from what you've written).
If
Now translate it to 2009. I don't know how the law is today. My
question:
Would it be possible for (just as an example) Wolfram to get patents
for known algorithms *and* forbid other people to further develop
these algorithms? Would it be possible to get a patent on the
manipulate/interact
Hi,
Consider the following expression sequence:
sage: var('y')
y
sage: f = x**2 + y**2
sage: yvar = y
sage: xvar = x
sage: f(yvar = xvar)
x^2 + y^2
sage: f({yvar:xvar})
2*x^2
I was under the impression that both forms of substitution should
return the same thing, but apparently not. Can
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