anybody know what a polynomial map projection or another name for it
i cant find anything on it
cheers
Mat
anybody know what a polynomial map projection or another name for it
i cant find anything on it
cheers
Mat
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A map defined by one or more polynomials. Given aĀ fieldĀ , a polynomial map is a mapĀ Ā such that for all pointsĀ ,
for suitable polynomialsĀ . TheĀ zero setĀ ofĀ Ā is the set of all solutions of the simultaneous equationsĀ , and is an algebraic variety inĀ .
An example of polynomial map is theĀ th coordinate mapĀ , defined byĀ Ā for allĀ . In the language ofĀ set theory, it is the projection of theĀ Cartesian productĀ Ā onto theĀ th factor.
Polynomial maps can be defined on any nonempty subsetĀ Ā ofĀ . IfĀ Ā is anĀ affine variety, then the set of all polynomial maps fromĀ Ā toĀ Ā is theĀ coordinate ringĀ Ā ofĀ . IfĀ Ā is anĀ affine varietyĀ ofĀ , then every polynomial mapĀ Ā induces aĀ ring homomorphismĀ , defined byĀ . Conversely, everyĀ ring homomorphismĀ Ā determines a polynomial mapĀ , whereĀ .
A polynomial mapĀ Ā is a real-valued polynomial function. Its graph is the plane algebraic curve with Cartesian equationĀ .
and
This looks interestingĀ to check out Ā andĀ thisĀ hope this helps
Thanks Justin
But hmmmm i really dont understand what you have said
thanks for the download
cheers