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Edit detail for ExampleGroebner revision 1 of 8

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Editor: hemmecke
Time: 2014/12/02 22:07:06 GMT+0
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Application of Groebner Bases

  Problem

    Let $$p(x) = a x^2 + b x + c, \qquad q(y) = u y^2 + v y + w.$$
    Find a m and n (depending on the coefficients of p and q
    such that for the transformaton $$x = m x + n$$ it holds
    $$p(x) = q(m x + n).$$

  Setup of the problem

    

Application of Groebner Bases

Problem

Let

p(x) = a x^2 + b x + c, \qquad q(y) = u y^2 + v y + w. 
Find a m and n (depending on the coefficients of p and q such that for the transformaton
x = m x + n 
it holds
p(x) = q(m x + n). 

Setup of the problem