Thank you very much for your kind help.
On 25 April 2010 17:00, Simon King wrote:
> On 25 Apr., 12:50, Santanu Sarkar
> wrote:
> > Sorry again. Dependency needs over integer.
>
> Probably there is a better way of doing it, but the following works:
>
> Transform the problem into a matrix: One ro
On 25 Apr., 12:50, Santanu Sarkar
wrote:
> Sorry again. Dependency needs over integer.
Probably there is a better way of doing it, but the following works:
Transform the problem into a matrix: One row for each polynomial, one
column for each monomial that occurs in one of the polynomials, and
th
Sorry again. Dependency needs over integer.
On 25 April 2010 16:06, Simon King wrote:
> Hi!
>
> On 25 Apr., 12:26, Santanu Sarkar
> wrote:
> > I want to find linear dependence of the set polynomials {f1,f2,f1*f2,
> > x1*f2,x2*f2}
>
> 'Linear over ZZ' or 'linear over R'?
>
> If it is the latter,
Hi!
On 25 Apr., 12:26, Santanu Sarkar
wrote:
> I want to find linear dependence of the set polynomials {f1,f2,f1*f2,
> x1*f2,x2*f2}
'Linear over ZZ' or 'linear over R'?
If it is the latter, the following might help (but is only implemented
if you have polynomials over a field, not over ZZ):
sa
Hi,
No, my polynomials are not homogeneous and are of different degree. Suppose:
R.=ZZ[]
f1=1+x1+x2+x1*x2
f2=1+x1+x3+x1*x3
I want to find linear dependence of the set polynomials {f1,f2,f1*f2,
x1*f2,x2*f2}
With regards,
Santanu
On 25 April 2010 15:33, Simon King wrote:
> Hi!
>
> On 25 Apr.,
Hi!
On 25 Apr., 11:41, Santanu Sarkar
wrote:
> Suppose f1, f2,,f10 are polynomials over 20 variables over integers.
> How one can check weather they are linearly independent or not in Sage?
When you talk about linear indepence of polynomials, you probably
assume that they are all homogeneou
