Examples of 'projective planes' in a sentence

Meaning of "projective planes"

projective planes - in mathematics, a two-dimensional surface that satisfies certain geometric properties related to projective geometry. These planes have properties such as duality and incidence that make them useful in various mathematical applications
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  • plural of projective plane

How to use "projective planes" in a sentence

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projective planes
All finite generalized polygons except the projective planes.
In more general projective planes this is not always the case.
A Klein bottle is the connected sum of two projective planes.
All known projective planes have orders that are prime powers.
Every finite generalized polygon except the projective planes is a near polygon.
For pappian projective planes of even order there are always ovals which are not conics.
A Klein bottle is homeomorphic to the connected sum of two projective planes.
Gluing two projective planes creates the Klein bottle.
A PIR protocol based on codes over weighted projective planes is displayed here.
Projective planes may be thought of as projective geometries of " geometric " dimension two.
Which contained his work on conic sections, projective geometry and projective planes.
In geometry, smooth projective planes are special projective planes.
The construction also works over finite fields, providing examples in finite projective planes.
By gluing together projective planes successively we get non-orientable surfaces of higher demigenus.
It is conjectured that there are no projective planes of order 12.

See also

Any 2-manifold is the connected sum of g tori and c projective planes.
If such subplanes existed there would be projective planes of composite ( non-prime power ) order.
There are exactly 50 fake projective planes.
Both the seven-point and 13-point projective planes have representations of this type.
Generalized 3-gons are projective planes.

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Examples of using Planes
There will be planes enough for all
Planes can not take off or land
Keep all private planes on the ground
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Examples of using Projective
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
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