On 2014-02-17, Marc Mezzarobba wrote:
> Dima Pasechnik wrote:
>> sage: r0=QQ['a1,a2']
>> sage: a1,a2=r0.gens()
>> sage: r=r0['x1,x2']
> [...]
>> I am using such a ring as I want to treat ai as parameters, i.e. I
>> would like monomial expansions in xi alone.
>> Perhaps there is a better way to acc
On 2014-02-17, Douglas Weathers wrote:
> The rabbit hole led me to this discussion
>
> https://groups.google.com/forum/#!topic/sage-devel/QoboPuLUmw8
>
> from a couple of years ago, and I see that the ticket
>
> http://trac.sagemath.org/ticket/4539#no1
>
> has been merged into SAGE 5 (I have 6.0).
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. = PolynomialRing(R,order='lex')
sage: SI = S.ideal((1+RI)*x+y,x+(1-RI)*y-(1-RI))
sage: SI.groebner_basis()
[x
Thank you, I get the solution by using
N. = NumberField(x^2+1)
S. = PolynomialRing(QQ,order='lex')
is the variable x in the first line a dummy one, i.e. has nothing to do
with the
x in the second line? Sorry, I am new to Sage and sometimes I get confused.
If CC is not appropriate for this kind
The rabbit hole led me to this discussion
https://groups.google.com/forum/#!topic/sage-devel/QoboPuLUmw8
from a couple of years ago, and I see that the ticket
http://trac.sagemath.org/ticket/4539#no1
has been merged into SAGE 5 (I have 6.0). So when I try the example in the
Google group I get
On Monday, February 17, 2014 6:39:38 PM UTC+1, sahi...@gmail.com wrote:
>
> OK, I tried the following:
>
> S. = PolynomialRing(QQ,order='lex')
> I = ideal(i^2+1,(1+i)*x+y,x+(1-i)*y-(1-i))
> G = I.groebner_basis()
> G
>
> would give me
>
> [i - x - 1, x^2 + 2*x + 2, y - 2]
>
> which are the result
OK, I tried the following:
S. = PolynomialRing(QQ,order='lex')
I = ideal(i^2+1,(1+i)*x+y,x+(1-i)*y-(1-i))
G = I.groebner_basis()
G
would give me
[i - x - 1, x^2 + 2*x + 2, y - 2]
which are the results. But I am confused; why I can't get the result when I try
to get a polynomial ring in the fie
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. = PolynomialRing(CC,ord
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 su
Hi:
I am trying to obtain solution of a system of polynomial equations with
complex coefficients without success. For example, when I try
S. = PolynomialRing(CC,order='lex')
I = ideal((1+i)*x+y,x+(1-i)*y-(1-i))
G = I.groebner_basis()
I see this error:
AttributeError: 'Ideal_generic' object ha
Dima Pasechnik wrote:
> sage: r0=QQ['a1,a2']
> sage: a1,a2=r0.gens()
> sage: r=r0['x1,x2']
[...]
> I am using such a ring as I want to treat ai as parameters, i.e. I
> would like monomial expansions in xi alone.
> Perhaps there is a better way to accomplish this?
The best I can think of is
p.map_
Substituting variables for constants in R[x1,x2], where R=QQ[a1,a2]
does not work as expected:
sage: r0=QQ['a1,a2']
sage: a1,a2=r0.gens()
sage: r=r0['x1,x2']
sage: x1,x2=r.gens()
sage: p=a1*a2*x1^2+a2*x2; p
a1*a2*x1^2 + a2*x2
sage: p.subs(x1=1,a1=2) # this is nonsense; a1 remains
a2*x2 + a1*a2
It
I also converted by hand but hope to put together a script in my spare
time. Will let you know if I'm successful in finding the time.
Ken
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