Land Surveyor Forum

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• GEO Ambassador

  Jaybird July 17, 2015 at 5:48pm

  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

  

  Field

  A field is any set of elements that satisfies the field axioms for both addition and multiplication and is a commutative division algebra. An archaic…
  • GEO Ambassador

    Jaybird > Jaybird October 6, 2015 at 10:24pm

    All I could find at the time til someone came along...cheers!
  • Student Surveyor

    Mat Win > Jaybird October 6, 2015 at 10:19pm

    Thanks Justin

    But hmmmm i really dont understand what you have said

    thanks for the download

    cheers