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 aΒ fieldΒ , a polynomial map is a mapΒ Β such that for all pointsΒ ,
for suitable polynomialsΒ . TheΒ zero setΒ ofΒ Β is the set of all solutions of the simultaneous equationsΒ , and is an algebraic variety inΒ .
An example of polynomial map is theΒ th coordinate mapΒ , defined byΒ Β for allΒ . In the language ofΒ set theory, it is the projection of theΒ Cartesian productΒ Β onto theΒ th factor.
Polynomial maps can be defined on any nonempty subsetΒ Β ofΒ . IfΒ Β is anΒ affine variety, then the set of all polynomial maps fromΒ Β toΒ Β is theΒ coordinate ringΒ Β ofΒ . IfΒ Β is anΒ affine varietyΒ ofΒ , then every polynomial mapΒ Β induces aΒ ring homomorphismΒ , defined byΒ . Conversely, everyΒ ring homomorphismΒ Β determines a polynomial mapΒ , whereΒ .
A polynomial mapΒ Β is a real-valued polynomial function. Its graph is the plane algebraic curve with Cartesian equationΒ .
and
This looks interestingΒ to check out Β andΒ thisΒ hope this helps
Thanks Justin
But hmmmm i really dont understand what you have said
thanks for the download
cheers