Search results
Results from the WOW.Com Content Network
For an ovoid and a hyperplane , which contains at least two points of , the subset is an ovoid (or an oval, if d = 3) within the hyperplane . For finite projective spaces of dimension d ≥ 3 (i.e., the point set is finite, the space is pappian [ 1 ] ), the following result is true:
An ovoid is the surface in 3-dimensional space generated by rotating an oval curve about one of its axes of symmetry. The adjectives ovoidal and ovate mean having the characteristic of being an ovoid, and are often used as synonyms for "egg-shaped".
An ellipsoid is a surface that can be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation. An 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, an ellipsoid is ...
From the bundle theorem follows the existence of a) a skewfield (division ring) and b) an ovoid. If the more strict theorem of Miquel holds, the skewfield is even commutative (field) and the ovoid is a quadric. There are Möbius planes, which are not ovoidal. [4] For ovoidal Laguerre planes there exists a bundle theorem with an analogous ...
One of the biggest decisions anyone has to make for retirement is where to invest money. If you ask 10 different financial advisors, there is a 100% chance you’ll get 10 different answers. This ...
An ovoid of () (a symplectic polar space of rank n) would contain + points. However it only has an ovoid if and only n = 2 {\displaystyle n=2} and q is even. In that case, when the polar space is embedded into P G ( 3 , q ) {\displaystyle PG(3,q)} the classical way, it is also an ovoid in the projective geometry sense.
When looking at an African elephant and an Asian elephant side-by-side, you can really tell the differences in their head shapes and tasks. African elephants generally have much larger tusks than ...
Cats will knead grass or other surfaces to make them comfortable to lie on. They also have scent glands on their feet so scenting is a way for them to mark the soft object (or you) as their territory.