In mathematics, a quadric or quadric surface (quadric hypersurface in higher dimensions), is a generalization of conic sections (ellipses, parabolas,...
41 KB (7,405 words) - 16:10, 6 June 2024
mathematics, a quadric or quadric hypersurface is the subspace of N-dimensional space defined by a polynomial equation of degree 2 over a field. Quadrics are fundamental...
21 KB (3,540 words) - 18:24, 23 July 2024
5-space, the points that represent each line in S lie on a quadric, Q known as the Klein quadric. If the underlying vector space of S is the 4-dimensional...
3 KB (379 words) - 02:54, 1 March 2024
Quadrics was a supercomputer company formed in 1996 as a joint venture between Alenia Spazio and the technical team from Meiko Scientific. They produced...
12 KB (1,570 words) - 06:33, 12 November 2023
Lie sphere geometry (redirect from Lie quadric)
manifold known as the Lie quadric (a quadric hypersurface in projective space). Lie sphere geometry is the geometry of the Lie quadric and the Lie transformations...
28 KB (3,959 words) - 14:56, 19 June 2022
Ellipsoid (category Quadrics)
ellipsoid is a quadric surface; that is, a surface that may be defined as the zero set of a polynomial of degree two in three variables. Among quadric surfaces...
37 KB (5,896 words) - 04:29, 28 July 2024
Three-dimensional space (section Quadric surfaces)
of A, B, C, F, G and H are zero, is called a quadric surface. There are six types of non-degenerate quadric surfaces: Ellipsoid Hyperboloid of one sheet...
34 KB (4,829 words) - 17:02, 29 May 2024
Paraboloid (category Quadrics)
In geometry, a paraboloid is a quadric surface that has exactly one axis of symmetry and no center of symmetry. The term "paraboloid" is derived from...
15 KB (2,335 words) - 22:25, 1 April 2024
Cylinder (category Quadrics)
are degenerate quadric surfaces. When the principal axes of a quadric are aligned with the reference frame (always possible for a quadric), a general equation...
21 KB (2,899 words) - 15:08, 18 July 2024
space of lines in P 3 {\displaystyle \mathbb {P} ^{3}} and points on a quadric in P 5 {\displaystyle \mathbb {P} ^{5}} (projective 5-space). A predecessor...
28 KB (5,142 words) - 15:49, 25 May 2024