Examples of 'projective space' in a sentence
Meaning of "projective space"
In mathematics, a projective space refers to a geometric structure that generalizes the concepts of Euclidean space. It is commonly used in the field of geometry and algebraic geometry
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- A kind of geometrical space in which only relation(s) of incidence between points and lines matter; in such a space distances or angles do not matter and parallelism (as in an affine space) does not matter either.
How to use "projective space" in a sentence
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projective space
Models of projective plane and projective space.
The projective space case is included.
Axioms of projective plane and projective space.
Projective space and projective systems.
A projective variety is a closed subvariety of a projective space.
Its closure in projective space is the rational normal curve.
It is not much harder to do n dimensional projective space.
Simple examples in a real projective space are hyperspheres quadrics.
It is often desirable to consider curves in the projective space.
Algebraic geometry of projective space and low dimensional topology.
This is analogous to complex projective space.
Elements in an oriented projective space are defined using signed homogeneous coordinates.
The initial space is called the projective space.
Dual projective space.
The tautological bundle on projective space.
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In complex projective space all of the nondegenerate quadrics become indistinguishable from each other.
Projective coordinates are assigned in projective space.
The projective space is used here to represent the visual information associated with the system.
Real and complex projective space.
A projective complex manifold is a complex manifold which can be embedded in complex projective space.
Every real or complex affine or projective space is also a topological space.
The higher dimensional analog of an oval is an ovoid in a projective space.
This allows to calculate the points in a projective space and to know their relative positioning.
This definition is a special instance of the general definition of a projective space.
Morphisms to a projective space.
Another useful class of examples come from ramified coverings of projective space.
The Chow coordinates define a point in the projective space corresponding to all forms.
This is a quotient of the action of the general linear group on projective space.
Real projective space RPn is a compactification of Euclidean space Rn.
Homogenous coordinates represent the same point in the projective space.
Points of the projective space PH.
One may formalize this using various ways of presenting a projective space.
Projective space and Grassmannians.
So we can say that most smooth hypersurfaces in projective space are of general type.
However, the projective space itself is homogeneous.
Fano varieties can be considered the algebraic varieties which are most similar to projective space.
Real projective space RPn is a n-dimensional manifold.
The Gale transform is an involution on sets of points in projective space.
A projective space for n 2 is a projective plane.
In the parlance of algebraic geometry, projective space is proper.
Projective space is a compact topological space, affine space is not.
In this case, this construction produces a finite projective space.
In this case the weighted projective space is called well-formed.
In this thesis we study the singular locus of instanton sheaves on the projective space p3.
For these reasons, projective space plays a fundamental role in algebraic geometry.
An affine space is a non-compact manifold ; a projective space is a compact manifold.
Libgober 's early work studies the diffeomorphism type of complete intersections in complex projective space.
How can one formulate the topology of projective space without the support of a metric?
A Pappian projective space is a projective space in which Pappus 's hexagon theorem holds.
The collection of all such vectors is the finite projective space with order 2 and dimension 5.
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Examples of using Projective
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A smooth curve is projective if and only if it is complete
Projective curves are frequently studied for themselves
Euclid geometry from a projective point of view
Examples of using Space
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The same space has a cooker hood
I waited five years for that space
The race for space at the table
