I changed the decimals into fractions and I confirm that I am now getting
results. Thank you so much for your help. You saved me out of stress and
depression.
Best Regards,
On Tuesday, February 18, 2014 11:23:37 AM UTC-5, Martin R. Albrecht wrote:
>
>
>
> On 18/02/14 14:31, sahi...@gmail.com w
On 18/02/14 14:31, sahin...@gmail.com wrote:
> TypeError: unsupported operand parent(s) for '*': 'Real Field with
> 53 bits of precision' and 'Multivariate Polynomial Ring in x1, x2,
> x3, x4, x5, x6, x7, x8 over Number Field in I with defining
> polynomial x^2 + 1'
This means that you are mixin
Thank you for the reply. I am now trying the computation with a somewhat
more involved example and I am getting the error. The example I am trying
to solve is below:
R = QQ[sqrt(-1)]
RI = R.gens()[0]
S. = PolynomialRing(R,order='lex')
SI =
S.ideal(4*RI*x4+2*x1-2.52*x3-8*RI,3*x4+2*x1-3.5*x2-6,-4
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
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
