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 a field
, a polynomial map is a map
such that for all points
,
for suitable polynomials
. The zero set of
is the set of all solutions of the simultaneous equations
, and is an algebraic variety in
.
An example of polynomial map is the
th coordinate map
, defined by
for all
. In the language of set theory, it is the projection of the Cartesian product
onto the
th factor.
Polynomial maps can be defined on any nonempty subset
of
. If
is an affine variety, then the set of all polynomial maps from
to
is the coordinate ring
of
. If
is an affine variety of
, then every polynomial map
induces a ring homomorphism
, defined by
. Conversely, every ring homomorphism
determines a polynomial map
, where
.
A polynomial map
is a real-valued polynomial function. Its graph is the plane algebraic curve with Cartesian equation
.
and
This looks interesting to check out and this hope this helps
Thanks Justin
But hmmmm i really dont understand what you have said
thanks for the download
cheers