![]() This class represents an hyperplane as the zero set of the implicit equation \( n \cdot x d = 0 \) where \( n \) is a unit normal vector of the plane (linear part) and \( d \) is the distance (offset) to the origin. Notice that the dimension of the hyperplane is AmbientDim_-1. 0, ou encore, si l’on prend O pour origine : OM. type Domain minus an affine complex hyperplane is not Gromov hyperbolic. The dimension of the ambient space, can be a compile time value or Dynamic. Un hyperplan affine est entièrement défini par un point A et un vecteur unitaire normal. est ltude de lhyperbolicit du domaine de Hartogs priv dun hyperplan. The scalar type, i.e., the type of the coefficients For example, a hyperplane in a plane is a line a hyperplane in 3-space is a plane. An n-dimensional generalization of a plane an affine subspace of dimension n 1 that splits an n-dimensional space. In higher dimensions, it is useful to think of a hyperplane as member of an affine family of (n-1)-dimensional subspaces (affine spaces look and behavior very similar to linear spaces but they are not required to contain the origin), such that the entire space is partitioned into these affine subspaces. ![]() More precisely, the theorem says that for a variety X embedded in projective space and a hyperplane section Y, the. A hyperplane is an affine subspace of dimension n-1 in a space of dimension n. In mathematics, specifically in algebraic geometry and algebraic topology, the Lefschetz hyperplane theorem is a precise statement of certain relations between the shape of an algebraic variety and the shape of its subvarieties. ![]()
0 Comments
Leave a Reply. |