Polynomials in several variables
Summary
The ring is the ring of the polynomials in the variables with coefficients in a commutative ring . The definition of the multivariate polynomial ring gives the construction.
Where this leads
30 pages build on this one.
- Tarski–Seidenberg theorem
- Zernike polynomials
- Hilbert polynomial
- Unisolvent point set
- Multivariate approximation
- Oka–Weil theorem
- Ring of convergent power series
- Moving least squares
- Combinatorial Nullstellensatz
- Multivariate interpolation
- Amoeba
- Raviart–Thomas elements
- Homotopy continuation for polynomial systems
- Positivstellensatz
- Polynomially convex set
- Gabrielov's theorem of the complement
- Hilbert–Serre theorem
- Discontinuous Galerkin method
- Bramble–Hilbert lemma
- Multivariate formal power series
- Semialgebraic set
- Kakeya problem over finite fields
- Oka manifold
- Runge domain
- Hilbertian field
- Newton polytope
- Baouendi–Trèves approximation theorem
- Hilbert's tenth problem
- Padua points
- Hilbert scheme
Further reading
- Web https://en.wikipedia.org/wiki/Polynomial_ring, Definition (multivariate case)
About this page
| Tag | 07GNX8GCYP |
|---|---|
| URI | m2://07GNX8GCYP |
| Aliases | multivariate-polynomial-ring |
| Kind | concept |
| Writing | W0 stub |
| MSC | 13F20 |
Markdown · JSON · Edit on GitHub
What this page needs for W1
- an inventory row: the row of the inventory that the node accounts for (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Definitions
Special cases
Used by
- Tarski–Seidenberg theorem
- Zernike polynomials
- Hilbert polynomial
- Unisolvent point set
- Multivariate approximation
- Oka–Weil theorem
- Moving least squares
- Combinatorial Nullstellensatz
- Multivariate interpolation
- Amoeba
- Raviart–Thomas elements
- Homotopy continuation for polynomial systems
- Positivstellensatz
- Polynomially convex set
- Hilbert–Serre theorem
- Discontinuous Galerkin method
- Bramble–Hilbert lemma
- Multivariate formal power series
- Semialgebraic set
- Kakeya problem over finite fields
- Runge domain
- Hilbertian field
- Newton polytope
- Baouendi–Trèves approximation theorem
- Hilbert's tenth problem
- Padua points