polynomial surface
1Surface — This article discusses surfaces from the point of view of topology. For other uses, see Differential geometry of surfaces, algebraic surface, and Surface (disambiguation). An open surface with X , Y , and Z contours shown. In mathematics,… …
2Biharmonic Bézier surface — A Biharmonic Bézier surface is a smooth polynomial surface which conforms to the biharmonic equation and has the same formulations as a Bézier surface. This formulation for Bézier surfaces was developed by Juan Monterde and Hassan Ugail. In order …
3Seifert surface — In mathematics, a Seifert surface is a surface whose boundary is a given knot or link. Such surfaces can be used to study the properties of the associated knot or link. For example, many knot invariants are most easily calculated using a Seifert… …
4Freeform surface modelling — is the art of engineering Freeform Surfaces with a CAD or CAID system. Introduction The technology encompasses two main fields. Either creating aesthetic (Class A surfaces) that also perform a function; for example, car bodies and consumer… …
5Zariski surface — In algebraic geometry, a branch of mathematics, a Zariski surface is a surface over a field of characteristic p gt; 0 such that there is a dominant inseparable map of degree p from the projective plane to the surface. In particular, all Zariski… …
6Alexander polynomial — In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type. James Waddell Alexander II discovered this, the first knot polynomial, in 1923. In 1969, John Conway showed a… …
7Riemann surface — For the Riemann surface of a subring of a field, see Zariski–Riemann space. Riemann surface for the function ƒ(z) = √z. The two horizontal axes represent the real and imaginary parts of z, while the vertical axis represents the real… …
8Supersingular K3 surface — In algebraic geometry, a supersingular K3 surface is a particular type of K3 surface. Such an algebraic surface has its cohomology generated by algebraic cycles; in other words, since the second Betti number [In the case of a base field other… …
9Response surface methodology — (RSM) explores the relationships between several explanatory variables and one or more response variables. The method was introduced by G. E. P. Box and K. B. Wilson in 1951. The main idea of RSM is to use a set of designed experiments to obtain… …
10algebraic surface — in three dimensional space, a surface the equation of which is f(x, y, z) = 0, with f(x, y, z) a polynomial in x, y, z. The order of the surface is the degree of the polynomial equation. If the surface is of the first order, it is a plane.… …
