Hi,
To learn SAGE takes a while, and good exercises are scarce.
It was mentioned before, but the site http://projecteuler.net/ is
interesting. The idea is to solve relatively simple mathematical
problems and the level is going up slowly. For instance group
operations, read/write to a file, speed
Hi,
Sage: A = matrix([ [-1.0, -1.0, 0.0, 1.0], [1.0, -1.0, -1.0, -2.0] ])
Sage: A.n(2)
[-1.0 -1.0 0.00 1.0]
[ 1.0 -1.0 -1.0 -2.0]
Roland
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Hi,
Are algorithms like PSLQ available?
If yes, please give a simple example so that I fully understand the
commands.
Thanks in advance!
Roland
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///
}}}
If you replace 10^9 with 10^6, the above listing works properly.
Maybe I made a mistake?
Rolandb
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wst...@gmail.com wrote:
On Sat, Jan 31, 2009 at 11:15 AM, Rolandb rola...@planet.nl wrote:
Hi,
I received first a MemoryError, and later on Sage reported:
That means that Sage ran out of memory. It's not a bug -- it's just a
limitation of your computer.
srange() builds a list
Hi, what is the use of this function? It seems equivalent to sqrt.
Roland
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For more
This works:
f=arccos((1-x^2)/(1+x^2))
g=f.diff(x)
g.simplify_full()
2*x/((x^2 + 1)*abs(x))
In general: type g. TAB and you will find all kind of handy functions.
Roland
On 28 feb, 10:58, Loïc xl...@free.fr wrote:
Hello
Another problem:
I want the derivative for the function
Hi, I saved my notebook files to *.sws files, and I installed SAGE
3.4.
However, I can not load a particular sws file.
Can I send the file to somebody to have a look at it?
Thanks in advance! Roland
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I solved my problem via KAIST 3.2.3. Size file was 13MB, maybe that's
a problem.
On 17 mrt, 07:17, Rolandb rola...@planet.nl wrote:
Hi, I saved my notebook files to *.sws files, and I installed SAGE
3.4.
However, I can not load a particular sws file.
Can I send the file to somebody to have
Hi, I didn't expect that whole M would be effected.
M=[[0..9]]*3
print M[0]
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
M[1].remove(9)
print M
[[0, 1, 2, 3, 4, 5, 6, 7, 8], [0, 1, 2, 3, 4, 5, 6, 7, 8], [0, 1, 2,
3,
4, 5, 6, 7, 8]]
Rolandb
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Hi
Ticket #3086 states Update R to the 2.7 release and split off
rpy.spkg with milestone Sage 4.0.
If possible, two requests:
1) Update R to the latest 2.9 release (now sage 3.4 uses R version
2.6.1 (2007-11-26))
2) To use R one has to load various additional packages. For instance
I use the
users have the same needs. If its
really worthwhile, we can consider to take the next step.
Roland
On 2 mei, 09:30, William Stein wst...@gmail.com wrote:
On Sat, May 2, 2009 at 12:26 AM, Rolandb rola...@planet.nl wrote:
Hi
Ticket #3086 states Update R to the 2.7 release and split off
Hi,
(13 3) equals 104, and (13 3) equals 1.
I could not find these operators in the documentation. Were are and
explained? Thank in advance!
Rolandb
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like to avoid is a slow process (subroutine) that does
the trick.
Any ideas? Thanks in advance!
Rolandb
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, VMware (Windows). Your help is much appreciated!
Rolandb
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For more options, visit
Hi,
How to simplify an expression if you have some known relations
(equalities)? Example:
relation: 0 = a*x1^2 + b*x2^2
expression = (a*x1^2 + b*x2^2)*y1+b*y2^3
Given the relation, the expression could be simplified to b*y2^2. But
how in Sage?
Tnx in advance. Rolandb
Simon, thanks!
But in general there is no (Sage) algoritm to simplify expressions
given some equalities?
Rolandb
On 21 jul, 08:05, Simon King simon.k...@uni-jena.de wrote:
Hi Roland,
On 21 Jul., 06:33, Rolandb rola...@planet.nl wrote:
Hi,
How to simplify an expression if you have
+1).
Profile.run shows that suddenly many functions are called which seems
odd for such a simple recursive function. Why?
Thanks in advance!
Rolandb
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floor(ln(256)/ln(2))+1 is no improvement; floor(math.log(mx)/
math.log(g))+1 is.
Rolandb
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Hi,
Using math.log has a disadvantage; it is less accurate.
sage: print n(math.log(2),100)
sage: print n(log(2),100)
0.69314718055994528622676398300
0.69314718055994530941723212146
Rolandb
On 30 aug, 06:48, Robert Bradshaw rober...@math.washington.edu
wrote:
On Aug 29, 2009, at 12:44 PM
On 1 sep, 11:08, Robert Bradshaw rober...@math.washington.edu wrote:
On Aug 29, 2009, at 11:05 PM, Rolandb wrote:
Hi,
Using math.log has a disadvantage; it is less accurate.
sage: print n(math.log(2),100)
sage: print n(log(2),100)
0.69314718055994528622676398300
Hi, I worked on a worksheet rolandtest4 (owner rolandb) but this file
seems unreadable. Can somebody fix it? Thanks!
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Hi, I use SAGE 2.6.17 and Firefox 2.0.0.5. Until a few days ago it
worked fine on my Toshiba Terca.
Now it still works, but it takes ages for Firefox to load pages so all
speed has gone. I tried all kind of options as firewalls on/out,
various network options et cetera, but now I'm slowly moving
The following problem occured and I don't understand what the mistake
is using isqrt. Please help. Thanks in advance. I use Sage 3.0.0.
Roland
sage: for n in range(1,10):
...print n, isqrt(n)
1
Traceback (most recent call last):
File stdin, line 1, in module
File
Tnx
On 22 mei, 07:02, Justin C. Walker [EMAIL PROTECTED] wrote:
On May 21, 2008, at 21:14 , Roland van den Brink wrote:
The following problem occured and I don't understand what the
mistake is using isqrt. Please help. Thanks in advance.
I use Sage 3.0.0. Roland
sage: for n in
A huge dissatisfier for the third time ..
I update VMARE (to version 2.04) and thereafter SAGE (from 3.0 to
3.0.3).
This is the third time I lost all my notebook files (sws) ...
How can this be avoided!! Please help, because many days of work are
now 'lost'.
Thanks in advance. Roland
Hi. Look at this:
vv='abc'
print vv[0]
vv.replace('b','n')
print vv
vv.replace('b','n')
The answers are different!?...
Roland
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Hi. All download spots have only version 3.0.6...? For example
http://www.sagemath.org/bin/microsoft_windows/
Roland
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Hi. The following programme looks simple:
sage: def posible_values(row,found,maxum):
...result=found
...if row==[]: row=[1]
...if result==[]: result=found=row #Recursion:
intended or unintended?
...if max(row)maxum:
... for k in found:
... for p in row:
2008/8/25 Rolandb [EMAIL PROTECTED]:
Hi. The following programme looks simple:
sage: def posible_values(row,found,maxum):
... result=found
... if row==[]: row=[1]
... if result==[]: result=found=row #Recursion:
intended or unintended?
... if max(row
Hi. It would be great if with release 3.1.2 a Windows version is
available without too much delay. Tnx! Roland
On 21 aug, 06:30, William Stein [EMAIL PROTECTED] wrote:
On Wed, Aug 20, 2008 at 9:26 PM, Rolandb [EMAIL PROTECTED] wrote:
Hi. All download spots have only version 3.0.6
Tnx! srange does the tric. Maybe srange (instead of range) should be
promoted far more for this reason! Roland
On 6 sep, 00:52, Timothy Clemans [EMAIL PROTECTED] wrote:
srange gives a list of Sage integers and follows the syntax of range.
On Fri, Sep 5, 2008 at 5:41 PM, Harald Schilly [EMAIL
Hi. I want to use x%y for two variables x,y. This doesn't work as the
following example shows:
sage: var('x,y')
sage: def proc(a,b): return a%b
sage: print proc(6,3)
sage: print proc(x,y)
0
Traceback (most recent call last):
File stdin, line 1, in module
File
Several times I indicated the same problem but until now no action.
I just save my worksheets (around 30) manually and recover the *.sws
files one by one in the new SAGE version.
Life is hard Roland
On 29 sep, 14:11, Daniel Loughran [EMAIL PROTECTED] wrote:
I am currently using sage on
Hi, I'm interested in the motion of planets around the sun. Before I
'reinvent the wheel', maybe someone has made a simple model and he/she
is willing to share it? Thanks in advance!
Rolandb
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Hi,
print [1,2,3,4].remove(4)
None
I would expect [1,2,3]
Rolandb
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Hi. Look at:
R.A,B=QQ[]
expr=(A,B)
(a,b)=sorted([abs(expr[n]([2,16])) for n in [0,1]])
print a,b,a.gcd(b)
I got: 2 16 1
I expected: 2 16 2
Reason?
Roland
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Hi,
Unhandled SIGSEGV: A segmentation fault occured in SAGE.
This probably occured because a *compiled* component
of SAGE has a bug in it (typically accessing invalid memory)
or is not properly wrapped with _sig_on, _sig_off.
You might
I located the file at https://:8000/home/pub/0
SIGSEGV with version 4.1, Windows.
I did not compile it from source.
No output at all with version 4.2.1 using KAIST.
On 29 nov, 20:50, Burcin Erocal bur...@erocal.org wrote:
Hi Roland,
On Sun, 29 Nov 2009 11:46:00 -0800 (PST)
Rolandb rola
Hi,
How serious is the following message?
Cannot open the disk 'D:\Program Files\Sage\sage-vmware-4.1\disk.vmdk'
or one of the snapshot disks it depends on.
Reason: Failed to lock the file.
Roland
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Hi,
Sage fails to start. Does this mean that I lost all my notebook files?
That would be very sad...
Thanks in advance of a solution which save my files!!
Roland
On 1 dec, 04:57, Rolandb rola...@planet.nl wrote:
Hi,
How serious is the following message?
Cannot open the disk 'D
! BUT HOW?
Roland
On 1 dec, 21:57, Robert Bradshaw rober...@math.washington.edu wrote:
I don't know much about Windows, but did you try restarting? That
might release any stale file locks. (Don't worry, your data should
still be there.)
On Dec 1, 2009, at 11:00 AM, Rolandb wrote:
Hi,
Sage
Hi William,
The 7zip file is 0.98 Gb, but I don't have a online place to download
it to.
Is there an other solution?
Roland
On 2 dec, 06:10, William Stein wst...@gmail.com wrote:
On Mon, Nov 30, 2009 at 10:57 PM, Rolandb rola...@planet.nl wrote:
Hi,
How serious is the following message
, William Stein wst...@gmail.com wrote:
On Mon, Nov 30, 2009 at 10:57 PM, Rolandb rola...@planet.nl wrote:
Hi,
How serious is the following message?
Cannot open the disk 'D:\Program Files\Sage\sage-vmware-4.1\disk.vmdk'
or one of the snapshot disks it depends on.
Reason: Failed to lock
Dear Robert,
I removed the maps *.lcd: no solution.
I cleaned my registry: no solution
I restarted my computer: no solution
.
I became angry and I saved all disk*.* files, I installed Sage for
Windows again and replaced the new disk*.* files with the old files
Guess what: problem solved!
Hi,
I encounterd a memory problem. The file can be found on
http://www.sagenb.org/home/rolandb/3/
( http://:/home/pub/1204 ), and is also listed below.
I use version 4.1, Windows.
Although it seems a simple set of lines, after two/three minutes my
hard disk starts to make a lot of noise
Hi,
gg=4*A^3
gg.factor()
(4) * A^3
How to separate the number 4? Nor gg.dict() nor list(gg.factor()) has
the number 4.
Remarkable is also the output of gg.factor()/4: (4) * 4^-1 * A^3
Roland
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On Sat, Dec 5, 2009 at 11:01 PM, Rolandb rola...@planet.nl wrote:
Hi,
gg=4*A^3
gg.factor()
(4) * A^3
How to separate the number 4? Nor gg.dict() nor list(gg.factor()) has
the number 4.
gg.factor().unit() should give it to you.
--Mike
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Hi, consider:
R.A,B,C=QQ[]
print sorted([(A, 3), (A - 2*B, 1)])
print sorted([(-A + 2*B, 1), (A, 3)])
Outcome not equal. Issue of Python or Sage?
Roland
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Hi,
The following message amazes me, because if an equation is unsolvable
I would assume [] as output.
ValueError: Unable to solve [x^3 + 3*x^2*y + 3*x*y^2 == 45487, y^3 ==
549755813888] for (x, y)
Roland
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, 2727432,
10661420, -7109760]
If m increases, this routine becomes is slow. Is there a fast routine
(or table) for large m?
Thanks in advance!
Rolandb
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Hi,
Consider:
var('a,b')
print solve_mod([a^2+7*b^2==23],101)
[(4, 1), (4, 100), (5, 12), (5, 89), (7, 16), (7, 85), (8, 15), (8,
86), (11, 17), (11, 84), (14, 29), (14, 72), (15, 0), (18, 19), (18,
82), (19, 46), (19, 55), (20, 50), (20, 51), (22, 8), (22, 93), (24,
27), (24, 74), (29, 35),
/31 Rolandb rola...@planet.nl:
Hi,
Consider:
var('a,b')
print solve_mod([a^2+7*b^2==23],101)
[(4, 1), (4, 100), (5, 12), (5, 89), (7, 16), (7, 85), (8, 15), (8,
86), (11, 17), (11, 84), (14, 29), (14, 72), (15, 0), (18, 19), (18,
82), (19, 46), (19, 55), (20, 50), (20, 51), (22, 8
Hi,
Consider Euler’s famous expression x=a^2+n*b^2. I want to solve a and
b, given x and n. Because solve_mod is totally broken, I tried to
develop a clever method myself. Counterintuitively, I found that the
most simple brute force method in SAGE is relatively fast.
def bruteforce(number,n):
Thanks William,
Actually I try to solve it for different x and n. A typical example of
(x,n) is:
%time
bruteforce(7^10*29^5,973)
[(3899224, 2437015)]
CPU time: 25.88 s, Wall time: 26.12 s
Roland
On 7 feb, 22:29, William Stein wst...@gmail.com wrote:
On Sun, Feb 7, 2010 at 12:35 PM, Rolandb
Alasdair, Thanks!
On 9 feb, 11:54, Alasdair amc...@gmail.com wrote:
Do a google search on Cornacchia's algorithm. Shouldn't be too hard
to program in Sage (if it isn't there already).
Alasdair
On Feb 8, 4:07 pm, Rolandb rola...@planet.nl wrote:
Thanks William,
Actually I try to solve
Hi,
I downloaded sage-virtualbox-4.3.zip, and installation went well.
However, the second time I tried to use Virtualbox, I got the message
Configuring network And now Firefox 3.5.8 can not find http:\
\192.168.56.101
What to do? Thanks in advance for a swift response! Roland
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Hi,
Could someone please indicate how I can use (for instance) the routine
BPTJCubes.c from the standard package Flint?
Thanks in advance! Roland
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Hi, using SAGE 4.1:
%timeit('for k in xrange(2,10): factor(3+10^k)')
625 loops, best of 3: 1.08 ms per loop
Traceback (most recent call last):
File stdin, line 1, in module
File /home/notebook/sage_notebook/worksheets/admin/18/code/65.py,
line 6, in module
print
Hi, some experiences.
I moved from Vista 32 to Windows 7 64 during Easter. I have a Q6700
PC.
Three issues are maybe of general interest.
1) Virtualbox 4.3.4: A clumsy environment so I switched back to (the
new) VMware player 3.01 and (the old) Sage 4.1. Now I was positively
surprised how cool
Hi, consider the following:
timeit('factor(3^89-1, proof=False)')
timeit('factor(3^89-1,proof=True)')
timeit('factor(3^89-1, proof=False)')
timeit('factor(3^89-1,proof=True)')
5 loops, best of 3: 188 ms per loop
5 loops, best of 3: 195 ms per loop
5 loops, best of 3: 194 ms per loop
5 loops,
Hi William,
Sage 4.4. is out.
What file do I have to download in order to use it with Vmware player
3.01 and Windows 7 64b?
Currently I use Sage 4.1
Thank in advance for your swift reply. Roland
On 27 apr, 07:04, William Stein wst...@gmail.com wrote:
On Fri, Apr 16, 2010 at 3:01 AM, NCP
Hi,
Maybe this helps:
a=[1,2.3]
print isinstance(a,list)
True
a=67
print isinstance(a,Integer)
True
Roland
On 7 mei, 23:49, Nathann Cohen nathann.co...@gmail.com wrote:
Thank you !!! :-)
Would there be any way to do the same thing without having to import
RR in all of my functions, though
Hi,
The site http://abcathome.com/data/ has a link the file
triples_sofar.gz, a database with ABC triples. I would like to use the
file within Sage.
The link is http://abcathome.com/data/triples_sofar.gz The size is
around 162Mb; unpacked around 400Mb.
Via F =
wst...@gmail.com wrote:
On Mon, May 24, 2010 at 12:03 AM, Rolandb rola...@planet.nl wrote:
Hi,
The sitehttp://abcathome.com/data/has a link the file
triples_sofar.gz, a database with ABC triples. I would like to use the
file within Sage.
The link ishttp://abcathome.com/data/triples_sofar.gz
Tnx!
Just for others (and maybe for the manual):
import gzip
F = get_remote_file(http://abcathome.com/data/triples_sofar.gz;)
input_file = gzip.open(F, 'rb')
all_data = input_file.read()
Roland
On 24 mei, 21:58, Jason Grout jason-s...@creativetrax.com wrote:
On 05/24/2010 02:36 PM, Rolandb
Hi,
I'm running a routine which uses a large data set (13 million
elements). After a while the output is:
MemoryError
no mem for new parser
What to do? Thanks in advance for the swift reply!
Roland
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:41, Robert Bradshaw rober...@math.washington.edu
wrote:
On May 27, 2010, at 11:31 AM, Rolandb wrote:
Hi,
I'm running a routine which uses a large data set (13 million
elements). After a while the output is:
MemoryError
no mem for new parser
What to do? Thanks in advance
Hi,
Using cython, I want to make optimal use of static data. The reason is
that lookup is (often) much faster than recalulating. I now use:
cdef list nice_list_name=[3 , 3 , 3 , 3 , 3 , 3 , 4 , 4 , 4 , 4 , 4 ,
4 , 4 , 4 , 4 , 5 , 5 , 5 , et cetera]
But this didn't increase the speed.
...@math.washington.edu wrote:
On Jun 7, 2010, at 8:04 AM, Rolandb wrote:
Hi,
Using cython, I want to make optimal use of static data. The reason is
that lookup is (often) much faster than recalulating. I now use:
cdef list nice_list_name=[3 , 3 , 3 , 3 , 3 , 3 , 4 , 4 , 4 , 4 , 4 ,
4 , 4 , 4 , 4 , 5
Hi,
I have a small (nonsense) example of a program I would like to be able
to convert to cython. But I don't know how to convert:
R.A,B,C=QQ[], .factor(), .unit() and
.factor(proof=False,limit=10^5). I could not find anything in the
documentation about for instance handling elements of
?
Roland
On 29 mei, 09:43, Robert Bradshaw rober...@math.washington.edu
wrote:
On May 28, 2010, at 9:53 PM, Rolandb wrote:
Tnx Robert,
I rewrote the routine somewhat to use less stored values. Still I got
the following message:
error: no morememory
System -1596988k:2096917k Appl
Hi,
May I extend the question somewhat.
If you look at
http://www.sagemath.org/doc/tutorial/programming.html#section-standalone
, you find the text:
It is also easy to access C functions defined in separate *.c files.
Here’s an example. Create files test.c and test.spyx in the same
directory
Hi,
Look at:
R.A,B,C=QQ[]
print get_memory_usage()
for i in xrange(1): (an,bn,cn)=map(lambda x: abs(x((1,8,9))),
(A,B,C))
print get_memory_usage()
819.94921875
828.94921875
Why is the memory usage increasing with 9Mb? This only happens when
map is used repeatedly!
I would expect no
Hi,
I found a more simplified example:
print get_memory_usage()
for i in xrange(1): A(1,8,9)
print get_memory_usage()
Why is type(A)
'sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingu
\lar' using memory?
Roland
On 20 jun, 16:18, Rolandb rola...@planet.nl wrote:
Hi
Hi Alex,
+10 for the person who is willing and able to make a recent VMWare
Sage image (x86_64). Since April I rather use VMWare Sage than the
Virtualbox version, despite the disadvantages of the old release.
VWMare did change a lot; a good reason to support both Virtualbox and
VMWare in the
Hi,
I use ZZ(ss).factor(proof=False,limit=10^5).
By changing 'limit' you limit the search.
2^26 * 3^30 * 5^15 * 7^5 * 13^5 * 23^2 * 29 * 37 * 967 *
100231435706561580153005984524922236635721822683010490144527758096287118\
468921220756478157058125901560872523532972896397
This can be combined
,
On this topic, Sebastian Pancratz and I wrote an optimized
implementation of trial division to find the smallest factor of an
integer:
http://trac.sagemath.org/sage_trac/ticket/9537
This may be in sage-4.5.2.
-- William
On Mon, Jul 19, 2010 at 9:16 PM, Rolandb rola...@planet.nl wrote
Hi,
I'm thrilled that a new VMware version is out. But looking at
METALINK, I found version 4.5.2 for win while other versions are
4.5.1? See www.sagemath.org/mirror/win/meta/sage-vmware-4.5.2.zip.
Roland
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Hi,
Maybe the following is of some interest. Last week, I was in both
Beijing and Shanghai. The main webpages www.sagemath.org as well as
http://groups.google.com/group/sage-support could be used, but no
other Sage webpages! It seems that a potential huge community can't
use Sage.
Roland
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To
On 7 aug, 21:54, William Stein wst...@gmail.com wrote:
On Sat, Aug 7, 2010 at 12:47 PM, Rolandb rola...@planet.nl wrote:
Hi,
Maybe the following is of some interest. Last week, I was in both
Beijing and Shanghai. The main webpageswww.sagemath.orgas well as
http://groups.google.com/group
On 8 aug, 01:47, Alex Ghitza aghi...@gmail.com wrote:
Hi,
On Sat, 7 Aug 2010 12:37:16 -0700 (PDT), Rolandb rola...@planet.nl wrote:
I'm thrilled that a new VMware version is out. But looking at
METALINK, I found version 4.5.2 for win while other versions are
4.5.1? Seewww.sagemath.org
Hi,
I used dowload all, and thereafter I tried to upload the file
download_worksheets. The following message appears:
Bad Gateway
The proxy server received an invalid response from an upstream server.
Apache/2.2.12 (Ubuntu) Server at 192.168.231.129 Port 80
Any idea how to get the job done?
Hi,
Memory leaks are annoying. For instance #9298. Could somebody have a
look at it?
Thanks in advance!
Roland
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Hi,
I get the following message:
terminate called after throwing an instance of 'std::runtime_error'
what():
/usr/local/sage/local/bin/sage-sage: line 349: 3732
Aborted
python $@
VMware, Sage 4.1
Roland
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On 10 aug, 07:45, Mitesh Patel qed...@gmail.com wrote:
On 08/08/2010 05:43 AM, Rolandb wrote:
I used dowload all, and thereafter I tried to upload the file
download_worksheets. The following message appears:
Bad Gateway
The proxy server received an invalid response from an upstream
Hi,
VMware is supported again which I appriciate very much.
But there is a difference with (for instance) Sage 4.1.
With Sage 4.1 I could change the memory allocation via the option VM
Settings.
With Sage 4.5.2. the allocation is only 512Mb, and can't be changed.
Any solution at hand? Thanks in
On 11 aug, 23:45, Alex Ghitza aghi...@gmail.com wrote:
Hi,
On Wed, 11 Aug 2010 10:02:03 -0700 (PDT), Rolandb rola...@planet.nl wrote:
But there is a difference with (for instance) Sage 4.1.
With Sage 4.1 I could change the memory allocation via the option VM
Settings.
With Sage 4.5.2
On 11 aug, 22:36, Josh yoshua.coo...@gmail.com wrote:
This is probably completely noobish of me, but I really need help
solving the following problem (which has now occurred for the second
time). First, the setup:
Sage Version 4.3
VirtualBox 3.1.4
Windows 7
Firefox 3.6.8
My machine
Hi,
Some help is appreciated concerning the following.
Suppose P1,P2,P3 are two-variate polynomials. I search for all sets of
(P1,P2,P3) such that:
i) P1(A,B)+P2(A,B)=P3(A,B)
ii) Greatest common denominator P1 and P2 equals 1 [Thus gcd( P1,
P2 )=1]
iii) P1*P2*P3 can be divided by
On 16 aug, 05:53, Kenny Brown im.self.emplo...@gmail.com wrote:
On Aug 13, 3:07 pm, Rolandb rola...@planet.nl wrote:
The most elementary forms are A + B = A+B, A^2 + B*(A+B) = (A+B)^2 and
(B-A)^2 + 4*A*B = (A+B)^2.
You say A + B = A+B. Was that a typo?
No. Just follow i,ii and iii
On 16 aug, 19:44, Rolandb rola...@planet.nl wrote:
On 16 aug, 05:53, Kenny Brown im.self.emplo...@gmail.com wrote:
On Aug 13, 3:07 pm, Rolandb rola...@planet.nl wrote:
The most elementary forms are A + B = A+B, A^2 + B*(A+B) = (A+B)^2 and
(B-A)^2 + 4*A*B = (A+B)^2.
You say A + B
Hi,
VMware 3.1.1 with 4.5.1:
2010-08-16 13:01:46-0700 [-] Log opened.
2010-08-16 13:01:46-0700 [-] twistd 9.0.0 (/home/sage/sage/local/bin/
python 2.6.4) starting up.
2010-08-16 13:01:46-0700 [-] reactor class:
twisted.internet.selectreactor.SelectReactor.
2010-08-16 13:01:46-0700 [-]
On 28 aug, 02:31, Mitesh Patel qed...@gmail.com wrote:
On 08/27/2010 02:57 PM, Rolandb wrote:
VMware 3.1.1 with 4.5.1:
2010-08-16 13:01:46-0700 [-] Log opened.
2010-08-16 13:01:46-0700 [-] twistd 9.0.0 (/home/sage/sage/local/bin/
python 2.6.4) starting up.
2010-08-16 13:01:46-0700
On 15 aug, 12:50, jockothy jgmcc...@gmail.com wrote:
Hi!
There is a (huge) difference between win version 4.5.1 and 4.5.2.
In version 4.5.1 an externalnetworkwas setup, so I can use Sage via
Windows Firefox using the address 192.168.236.128.
The 4.5.2 version gives the warning that
On 9 sep, 22:54, jockothy jgmcc...@gmail.com wrote:
On Sep 8, 7:25 pm, Rolandb rola...@planet.nl wrote:
Version 4.5.3 has the same problem. Could you elucidate somewhat more
on what you did exactly.
Where did you put the command sudo rm /etc/udev/rules.d/70-
persistent-net.rules
On 10 sep, 17:56, HarryK haeckma...@gmx.de wrote:
On Aug 8, 9:16 am, Rolandb rola...@planet.nl wrote:
On 8 aug, 01:47, Alex Ghitza aghi...@gmail.com wrote:
Hi,
On Sat, 7 Aug 2010 12:37:16 -0700 (PDT), Rolandb rola...@planet.nl
wrote:
I'm thrilled that a new VMware version
Hi,
Two examples:
var('x1,x2')
y=[x1,x2]
opl=solve([x1^2==4,x2^2==9],y,solution_dict=True)
print opl
[{x2: -3, x1: -2}, {x2: -3, x1: 2}, {x2: 3, x1: -2}, {x2: 3, x1: 2}]
var('x1')
y=[x1]
opl=solve([x1^2==4],y,solution_dict=True)
print opl
Traceback (click to the left of this block for
On 13 okt, 03:39, kcrisman kcris...@gmail.com wrote:
On Oct 12, 6:37 pm, Robert Samal robert.sa...@gmail.com wrote:
I observed that solve behaves inconsistently in the following regards:
sage: solve([x==1,x==-1],x)
[]
(this is as expected)
However:
solve([x==1,x==-1],x,
Hi, look at the following simple routine.
def why():
test=((k2,k1) for k1 in xrange(2,4) for k2 in xrange(1,k1) if
gcd(k1,k2)==1)
print [t for t in test]
print [t for t in test]
return
why()
[(1, 2), (1, 3), (2, 3)]
[]
It seems that test can only be used once.
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