Enter a word or phrase in any language 👆
Language:
Translation and analysis of words by ChatGPT artificial intelligence
On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:
- how the word is used
- frequency of use
- it is used more often in oral or written speech
- word translation options
- usage examples (several phrases with translation)
- etymology
What (who) is ovoid$56944$ - definition
SPHERE-LIKE SURFACE IN PROJECTIVE SPACE OF DIMENSION D ≥ 3
Ovoid (Projective geometry)
Ovoid (projective geometry)
In projective geometry an ovoid is a sphere like pointset (surface) in a projective space of dimension . Simple examples in a real projective space are hyperspheres (quadrics).
Odostomia laevigata
SPECIES OF MOLLUSC
Ovoid odostome
Odostomia laevigata, common name the ovoid odostome, is a species of sea snail, a marine gastropod mollusc in the family Pyramidellidae, the pyrams and their allies.Rosenberg, G.
Ovoid (polar space)
CONCEPT IN MATHEMATICS
In mathematics, an ovoid O of a (finite) polar space of rank r is a set of points, such that every subspace of rank r-1 intersects O in exactly one point..
Wikipedia
Ovoid (projective geometry)
In projective geometry an ovoid is a sphere like pointset (surface) in a projective space of dimension d ≥ 3. Simple examples in a real projective space are hyperspheres (quadrics). The essential geometric properties of an ovoid are:
- Any line intersects in at most 2 points,
- The tangents at a point cover a hyperplane (and nothing more), and
- contains no lines.
Property 2) excludes degenerated cases (cones,...). Property 3) excludes ruled surfaces (hyperboloids of one sheet, ...).
An ovoid is the spatial analog of an oval in a projective plane.
An ovoid is a special type of a quadratic set.
Ovoids play an essential role in constructing examples of Möbius planes and higher dimensional Möbius geometries.
