On 4 April 2013 13:27, Neda Dargahi <[email protected]> wrote:

>
>   no, ijust want to know how can I compute the remainder on division of
> the given polynomial f by the order set F using grlex order in sage? thank
> you f= x^*y^2+x^3*y^2-y+1 F=(x*y^2-x , x-y^3)
>
>

I'm not sure how I was supposed to guess that from the question  "How can I
write a polynomial  f(x^2-4,x^2-2*x) in sage?"

Have you read all that the reference manual has to say on multivariable
polynomial rings (see
http://www.sagemath.org/doc/reference/polynomial_rings/polynomial_rings_multivar.html)?
That would seem to be relevant.


> On Thu, Apr 4, 2013 at 4:36 PM, John Cremona <[email protected]>wrote:
>
>> Like this?
>>
>> sage: R.<x,y> = QQ[]
>> sage: f = x^2+y^2         # for example
>> sage: f(x^2-4,x^2-2*x)
>> 2*x^4 - 4*x^3 - 4*x^2 + 16
>>
>> John Cremona
>>
>> On 4 April 2013 12:58, Neda <[email protected]> wrote:
>> >
>> > Hello
>> > How can I write a polynomial  f(x^2-4,x^2-2*x) in sage?
>> > thank you
>> >
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