Show us why the public should always call a land surveyor

Where are you surveying?


🌐 Show Forums for All Locations
Land Surveyor Community

Replies

  • GEO Ambassador

    A map defined by one or more polynomials. Given a field K, a polynomial map is a map f:K^n->K^m such that for all points (x_1,...,x_n) in K^n,

    f(x_1,...,x_n)=(g_1(x_1,...,x_n),...,g_m(x_1,...,x_n)),

    for suitable polynomials g_1,...,g_m in K[X_1,...,X_n]. The zero set of f is the set of all solutions of the simultaneous equations g_1=...=g_m=0, and is an algebraic variety in K^n.

    An example of polynomial map is the ith coordinate map delta_i:K^n->K, defined by delta_i(x_1,...,x_n)=x_i for all i=1,...,n. In the language of set theory, it is the projection of the Cartesian product K^n onto the ith factor.

    Polynomial maps can be defined on any nonempty subset S of K^n. If S is an affine variety, then the set of all polynomial maps from S to K is the coordinate ring K[S] of S. If T is an affine variety of K^m, then every polynomial map f:S->T induces a ring homomorphism F:K[T]->K[S], defined by F(phi)=phi degreesf. Conversely, every ring homomorphism G:K[T]->K[S] determines a polynomial map g:S->T, where g=(G(delta_1),...,G(delta_m)).

    A polynomial map f:R->R is a real-valued polynomial function. Its graph is the plane algebraic curve with Cartesian equation y=f(x).

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

      Thanks Justin

      But hmmmm i really dont understand what you have said

      thanks for the download

      cheers

This reply was deleted.

Answer As your Facebook Page

Global Surveyor Forum

Latest Discussions by Category

How to Utilize Surveyor Forums

How to use Forums
Our forums on Land Surveyors United are here to be used as much for finding help with problems in the field as the are for you to express your opinions on anything that has to do with land surveying in general. Feel free to share anything that is on your mind, as long as it isn't meant to damage another member's reputation. Please keep it clean and help insure that everyone has the opportunity to enjoy the benefits of being part of a community that grows together.

We are committed to allowing freedom of expression for all of our members, and that includes maintaining a safe space for people with opposing views to express themselves. We get posts from all over the country and even the globe, so needless to say, people come with different viewpoints on lad surveying practices and processes. We see this diversity and variety as a real strength-- dialogue and debate are an integral part of the educational process, as well as an important tool in exploring different sides of complex issues.

All Community Hubs inside the community have their own forum for asking specific questions to other surveyors, by location, equipment type, etc.

Topics by Tags

Monthly Archives

Global Forums

Add Your Expertise

🌐 Explore Forums Based on Location

Blog Topics by Tags

Monthly Archives