[sage-support] Embed Cells

2013-04-18 Thread Juan Grados
Dears members,

I like use the SAGE to embed any code (example below). But I want linked
two cells using
this
instruction
but this not work. How I will be able to fix this?.
For example I trying call from "compute" cell the function Hola() in the
cell "mycell".


$(function () {
// Make the div with id 'mycell' a Sage cell
sagecell.makeSagecell({inputLocation: '#mycell',

   evalButtonText: 'Evaluate'});
// Make *any* div with class 'compute' a Sage cell
sagecell.makeSagecell({inputLocation: 'div.compute',
   linked: true,
   evalButtonText: 'Evaluate'});
});



def Hola():
print "Hola"



Hola()


-- 
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MSc. Juan del Carmen Grados Vásquez
Laboratório Nacional de Computação Científica
Tel: +55 24 2233-6260
(http://www.lncc.br/)
http://juaninf.blogspot.com
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[sage-support] Re: Problem installing python module to sage in Mac OSX 10.4

2013-04-18 Thread kcrisman


On Thursday, April 18, 2013 6:34:34 PM UTC-4, mcl wrote:
>
> Hello,
>
> I am trying to install the Biopython module to sage's python installation. 
> I am running sage 5.0, which seems to be the latest version with a OSX 10.4 
> binary.
>

Some thoughts:
 
We have much more recent binaries for PPC machines on 10.4, but you are 
right that we don't have a buildbot for making binaries on a 10.4 Intel box.

Actually, you should be able to build Sage from source if you have gcc, as 
you appear to, to get a newer Sage!

What happens if you try the same thing for biopython in your Mac-provided 
Python install?

Does http://forum.tinycorelinux.net/index.php?topic=13102.0 help?  (I 
assume not.)

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[sage-support] Boolean Function

2013-04-18 Thread Santanu Sarkar
Dear all,
  I have a  Boolean polynomial f with huge degree & variables.
Also it has huge number of monomials.
I want to delete all monomials from f with degree greater
than 20. For that I have written the following approach.

V=BooleanPolynomialRing(4,['r%d'%(i) for i in range(4)])
V.inject_variables()
f=r0+r1*r2+r1*r2*r3
print f.degree()
A=f.monomials()
g=0
for i in range(Set(A).cardinality()):
 if((A[i]).degree()>=2):
g=g+V(A[i])

f=f+g
print f

But observed that for my actual case, it is very slow. Will you
kindly give any better idea?

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[sage-support] Problem installing python module to sage in Mac OSX 10.4

2013-04-18 Thread mcl
Hello,

I am trying to install the Biopython module to sage's python installation. I am 
running sage 5.0, which seems to be the latest version with a OSX 10.4 binary. 
I am attempting to build biopython as follows:

sage --python setup.py build

but apparently there are some issues with gcc and sage. This is the output I 
get after running that command.

running build
running build_py
running build_ext
building 'Bio.cpairwise2' extension
gcc -fno-strict-aliasing -fwrapv -DNDEBUG -g -fwrapv -O3 -Wall 
-Wstrict-prototypes -IBio -I/Applications/sage/local/include/python2.7 -c 
Bio/cpairwise2module.c -o build/temp.macosx-10.4-i386-2.7/Bio/cpairwise2module.o
In file included from 
/Applications/sage/local/lib/gcc/i386-apple-darwin8.11.1/4.6.3/include-fixed/syslimits.h:7:0,
 from 
/Applications/sage/local/lib/gcc/i386-apple-darwin8.11.1/4.6.3/include-fixed/limits.h:34,
 from /Applications/sage/local/include/python2.7/Python.h:19,
 from Bio/cpairwise2module.c:12:
/Applications/sage/local/lib/gcc/i386-apple-darwin8.11.1/4.6.3/include-fixed/limits.h:169:61:
 fatal error: limits.h: No such file or directory
compilation terminated.
error: command 'gcc' failed with exit status 1



>From this output it seems to me that the problem is that gcc can't find the 
>file limits.h. I looked for this file inside the sage directory and it seems 
>to be in the correct place 
>(/Applications/sage/local/lib/gcc/i386-apple-darwin8.11.1/4.6.3/include-fixed/limits.h).

How can I resolve this issue? Any ideas on what might be going wrong?

Thank you for your help.

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Re: [sage-support] right_kernel()

2013-04-18 Thread David Joyner
On Thu, Apr 18, 2013 at 5:42 PM, Juan Grados  wrote:

> I ask this because I am study McEliece Cryptosystem. And to get
> the generator matrix of Goppa code I am using the right_kernel()
> instruction
>
> Krnl = H.right_kernel();
>
> but I get always these form. The parity check matrix is building using the
> matrix
> T, V and D. How I will be able to get generator matrix in other form?
>


I might be misunderstanding you but does standard_form in linear_code help?
https://github.com/sagemath/sagelib/blob/master/sage/coding/linear_code.py


>
>
>
> H: is a parity check matrix.
> T: Toepliz
> V: Vandermonde
> D: Diagonal
>
>
> 2013/4/18 William Stein 
>
>> On Thu, Apr 18, 2013 at 1:50 PM, Juan Grados  wrote:
>> > Dears members,
>> >
>> > I executed right_kernel() for any matrix H. Why always I get a basis
>> matrix
>> > in this form [I|A] (I:identity)?
>>
>> That's not true for  the 1x2 matrix [1,0]:
>>
>> sage: matrix(1,2,[1,0]).right_kernel()
>> Free module of degree 2 and rank 1 over Integer Ring
>> Echelon basis matrix:
>> [0 1]
>>
>> The basis matrix is not of the form [I|A], for I the identity matrix.
>>
>> For a *random* matrix you'll get [I|A] though.
>>
>> William
>>
>> William
>>
>>
>>
>> >
>> > --
>> > -
>> > MSc. Juan del Carmen Grados Vásquez
>> > Laboratório Nacional de Computação Científica
>> > Tel: +55 24 2233-6260
>> > (http://www.lncc.br/)
>> > http://juaninf.blogspot.com
>> > -
>> >
>> > --
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>> >
>>
>>
>>
>> --
>> William Stein
>> Professor of Mathematics
>> University of Washington
>> http://wstein.org
>>
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>>
>>
>
>
> --
> -
> MSc. Juan del Carmen Grados Vásquez
> Laboratório Nacional de Computação Científica
> Tel: +55 24 2233-6260
> (http://www.lncc.br/)
> http://juaninf.blogspot.com
> -
>
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Re: [sage-support] right_kernel()

2013-04-18 Thread Juan Grados
I ask this because I am study McEliece Cryptosystem. And to get
the generator matrix of Goppa code I am using the right_kernel() instruction

Krnl = H.right_kernel();

but I get always these form. The parity check matrix is building using the
matrix
T, V and D. How I will be able to get generator matrix in other form?



H: is a parity check matrix.
T: Toepliz
V: Vandermonde
D: Diagonal


2013/4/18 William Stein 

> On Thu, Apr 18, 2013 at 1:50 PM, Juan Grados  wrote:
> > Dears members,
> >
> > I executed right_kernel() for any matrix H. Why always I get a basis
> matrix
> > in this form [I|A] (I:identity)?
>
> That's not true for  the 1x2 matrix [1,0]:
>
> sage: matrix(1,2,[1,0]).right_kernel()
> Free module of degree 2 and rank 1 over Integer Ring
> Echelon basis matrix:
> [0 1]
>
> The basis matrix is not of the form [I|A], for I the identity matrix.
>
> For a *random* matrix you'll get [I|A] though.
>
> William
>
> William
>
>
>
> >
> > --
> > -
> > MSc. Juan del Carmen Grados Vásquez
> > Laboratório Nacional de Computação Científica
> > Tel: +55 24 2233-6260
> > (http://www.lncc.br/)
> > http://juaninf.blogspot.com
> > -
> >
> > --
> > You received this message because you are subscribed to the Google Groups
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> > For more options, visit https://groups.google.com/groups/opt_out.
> >
> >
>
>
>
> --
> William Stein
> Professor of Mathematics
> University of Washington
> http://wstein.org
>
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>
>


-- 
-
MSc. Juan del Carmen Grados Vásquez
Laboratório Nacional de Computação Científica
Tel: +55 24 2233-6260
(http://www.lncc.br/)
http://juaninf.blogspot.com
-

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Re: [sage-support] right_kernel()

2013-04-18 Thread William Stein
On Thu, Apr 18, 2013 at 1:50 PM, Juan Grados  wrote:
> Dears members,
>
> I executed right_kernel() for any matrix H. Why always I get a basis matrix
> in this form [I|A] (I:identity)?

That's not true for  the 1x2 matrix [1,0]:

sage: matrix(1,2,[1,0]).right_kernel()
Free module of degree 2 and rank 1 over Integer Ring
Echelon basis matrix:
[0 1]

The basis matrix is not of the form [I|A], for I the identity matrix.

For a *random* matrix you'll get [I|A] though.

William

William



>
> --
> -
> MSc. Juan del Carmen Grados Vásquez
> Laboratório Nacional de Computação Científica
> Tel: +55 24 2233-6260
> (http://www.lncc.br/)
> http://juaninf.blogspot.com
> -
>
> --
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>



-- 
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Professor of Mathematics
University of Washington
http://wstein.org

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[sage-support] right_kernel()

2013-04-18 Thread Juan Grados
Dears members,

I executed right_kernel() for any matrix H. Why always I get a basis matrix
in this form [I|A] (I:identity)?

-- 
-
MSc. Juan del Carmen Grados Vásquez
Laboratório Nacional de Computação Científica
Tel: +55 24 2233-6260
(http://www.lncc.br/)
http://juaninf.blogspot.com
-

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Re: [sage-support] Re: Polynomial quotient and reminder

2013-04-18 Thread Andrea Lazzarotto
2013/4/18 Simon King 

> A symbolic expression is something fairly general---so general that many
> methods won't make sense in this generality. A symbolic expression may
> contain all "strange" stuff like sin(x^2), exp(pi), x^x, etc.
>


> From computer science point of view, the mathematical algorithms are
> implemented in methods of certain (base) classes. The polynomials we want
> to consider here belong to classes that provide a quo_rem method. But
> general symbolic expressions belong to a different class, and a quo_rem
> method would make no sense for them.
>

Ok, I did get what was the problem about the instances of different
classes, but now I have an idea of why from a mathematical POV. ;)


> This line is a shortcut for
>   P = PolynomialRing(f,'x')
>   x = P.gen()
>
> It is syntactical sugar: P.=f[] is not valid in Python, but it is a
> convenient notation well known from the Magma computer algebra system.
> Hence, the Sage developers wanted to make this notation available, by
> means of a pre-processor.
>
> > x = P.gen()
>
> As I mentioned above, a polynomial ring knows its base ring and it
> generator(s). Here, we have the base ring f, which you could check by
>   sage: P.base_ring() is f
>   True
>
> And P.gen() returns the generator (i.e., the "variable") of this
> polynomial ring. Note that this "variable" is by no means the same as a
> symbolic variable of the same name:
>

Thank you, now my ideas are more clear!

Best regards,

-- 
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*

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Re: [sage-support] Re: Sage+TeX for Windows dummies

2013-04-18 Thread kcrisman


On Thursday, April 18, 2013 11:24:42 AM UTC-4, Dan Drake wrote:
>
> On Sat, 13 Apr 2013 at 06:46PM -0700, kcrisman wrote: 
> > Dan, do you have any tips for using SageTeX on Windows? 
>
> I'm a bit late here, but sadly my only tip is: switch to OS X or Linux. 
> Which I know is not always a good option. 
>
> Until we have a working Cygwin port, I don't see any good options for 
> Windows. For now, the notebook is definitely the way to go. 
>
>
Well... see #6743!  Thanks to massive work by Jean-Pierre Flori, we are 
essentially there.   How do you envision this working with SageTeX - inside 
Cygwin, or with Windows stuff?  (I mean, where the TeXing happens.) 

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Re: [sage-support] Re: Sage+TeX for Windows dummies

2013-04-18 Thread Dan Drake
On Sat, 13 Apr 2013 at 06:46PM -0700, kcrisman wrote:
> Dan, do you have any tips for using SageTeX on Windows?

I'm a bit late here, but sadly my only tip is: switch to OS X or Linux.
Which I know is not always a good option.

Until we have a working Cygwin port, I don't see any good options for
Windows. For now, the notebook is definitely the way to go.

Dan

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Re: [sage-support] Solve Binary Linear System

2013-04-18 Thread John H Palmieri


On Thursday, April 18, 2013 8:01:38 AM UTC-7, juaninf wrote:
>
> Thanks, 
>
> But if the matrix A is non-square How I will be able to solve?. I am 
> trying but I get number of rows of self must equal degree of B
>

This is a math question now. If A is n x k, and if you want to solve Ax = 
b, then b needs to be an n-dimensional vector. It sounds like you're trying 
with b of the wrong dimension.

sage: A = random_matrix(GF(2), 10, 20)
sage: b = random_vector(GF(2), 10)
sage: A \ b
(1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)


 

>
>
> 2013/4/17 Robert Bradshaw >
>
>> sage: A = random_matrix(GF(2), 1, 1)
>> sage: A.det()
>> 1
>> sage: b = random_vector(GF(2), 1)
>> sage: %time x = A \ b
>> CPU times: user 1.61 s, sys: 0.06 s, total: 1.67 s
>> Wall time: 1.67 s
>> sage: A * x == b
>> True
>>
>>
>> On Wed, Apr 17, 2013 at 1:45 PM, Juan Grados > 
>> wrote:
>> > I have the equation Ax=b where all matrix entries and all entrie of 
>> vector b
>> > are in GF(2). How I will be able to solve this linear system equation 
>> over
>> > GF(2) in SAGE software?
>> >
>> > --
>> > -
>> > MSc. Juan del Carmen Grados Vásquez
>> > Laboratório Nacional de Computação Científica
>> > Tel: +55 24 2233-6260
>> > (http://www.lncc.br/)
>> > http://juaninf.blogspot.com
>> > -
>> >
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>
>
> -- 
> -
> MSc. Juan del Carmen Grados Vásquez
> Laboratório Nacional de Computação Científica 
> Tel: +55 24 2233-6260
> (http://www.lncc.br/)
> http://juaninf.blogspot.com
> -
>  

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Re: [sage-support] Solve Binary Linear System

2013-04-18 Thread Juan Grados
Thanks,

But if the matrix A is non-square How I will be able to solve?. I am trying
but I get number of rows of self must equal degree of B


2013/4/17 Robert Bradshaw 

> sage: A = random_matrix(GF(2), 1, 1)
> sage: A.det()
> 1
> sage: b = random_vector(GF(2), 1)
> sage: %time x = A \ b
> CPU times: user 1.61 s, sys: 0.06 s, total: 1.67 s
> Wall time: 1.67 s
> sage: A * x == b
> True
>
>
> On Wed, Apr 17, 2013 at 1:45 PM, Juan Grados  wrote:
> > I have the equation Ax=b where all matrix entries and all entrie of
> vector b
> > are in GF(2). How I will be able to solve this linear system equation
> over
> > GF(2) in SAGE software?
> >
> > --
> > -
> > MSc. Juan del Carmen Grados Vásquez
> > Laboratório Nacional de Computação Científica
> > Tel: +55 24 2233-6260
> > (http://www.lncc.br/)
> > http://juaninf.blogspot.com
> > -
> >
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Laboratório Nacional de Computação Científica
Tel: +55 24 2233-6260
(http://www.lncc.br/)
http://juaninf.blogspot.com
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[sage-support] Group action

2013-04-18 Thread Johannes
Hi guys,

I have the following setting: Given a finite subgroup G of GL_\C(n) of
order k, acting on C[x_1,...,x_n] by multiplication with (potenz of a )
k-th root of unity. What is the best way, to translate this setting to sage?
In the end I'm interested into the ring of invariants under G and it's
representation as quotient.

bg,
Johannes

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