العربية
中国
Français
Deutsch
Ελληνική
हिन्दी
Italiano
日本語
Português
Русский
EspañolHYPERSURFACE
In mathematics, a 'hypersurface' is some kind of submanifold.
★ For differential geometry usage, see glossary of differential geometry and topology.
★ In algebraic geometry, a 'hypersurface' in projective space of dimension ''n'' is an algebraic set that is purely of dimension ''n'' − 1. It is then defined by a single equation ''F'' = 0, a homogeneous polynomial in the homogeneous coordinates. (It may have singularities, so not in fact be a submanifold in the strict sense.)
See also: hyperplane, hypersphere, hyperspace.
★ For differential geometry usage, see glossary of differential geometry and topology.
★ In algebraic geometry, a 'hypersurface' in projective space of dimension ''n'' is an algebraic set that is purely of dimension ''n'' − 1. It is then defined by a single equation ''F'' = 0, a homogeneous polynomial in the homogeneous coordinates. (It may have singularities, so not in fact be a submanifold in the strict sense.)
See also: hyperplane, hypersphere, hyperspace.
This article provided by Wikipedia. To edit the contents of this article, click here for original source.
psst.. try this: add to faves
