Examples of 'real projective' in a sentence
Meaning of "real projective"
Real projective likely refers to a mathematical concept or construction related to projective geometry or algebra
How to use "real projective" in a sentence
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real projective
Real projective spaces are smooth manifolds.
Another such surface is the real projective plane.
A model of the real projective line is the projectively extended real line.
It is also possible to implement it on the real projective plane.
Simple examples in a real projective space are hyperspheres quadrics.
Another closely related manifold is the real projective plane.
The real projective plane has a fundamental group that is a cyclic group with two elements.
Any connected sum involving a real projective plane is nonorientable.
The restricted planes given in this manner more closely resemble the real projective plane.
Real projective space RPn is a compactification of Euclidean space Rn.
Oriented projective geometry is an oriented version of real projective geometry.
Real projective space RPn is a n-dimensional manifold.
This is also one of the standard models of the real projective plane.
The real projective line adds only one value ∞.
Another group of regular polyhedra comprise tilings of the real projective plane.
See also
A real projective plane has non-orientable genus one.
For example, the universal cover of a real projective plane is a sphere.
In the real projective plane, points and lines are dual to each other.
Noncommutative bundles over the triple-Toeplitz deformation of the real projective plane.
The n-dimensional real projective space is the quotient of the n-sphere by the antipodal map.
Hence each of them determines a tiling of the real projective plane, an elliptic tiling.
RP1 is called the real projective line, which is topologically equivalent to a circle.
Brianchon 's theorem is true in both the affine plane and the real projective plane.
Among closed surfaces, the real projective plane is the simplest non-orientable such surface.
The real line with the point at infinity ; it is called the real projective line.
Similar remarks hold about the real projective plane, but the intersection relationships are different there.
As projectivities preserve the harmonic relation, they form the automorphisms of the real projective line.
The sphere is simply connected, while the real projective plane has fundamental group Z2.
Other related non-orientable objects include the Möbius strip and the real projective plane.
The n-dimensional real projective space admits a CW structure with one cell in each dimension.
Therefore, the space of quartic curves can be identified with the real projective space formula 2.
The archetypical example is the real projective plane, also known as the extended Euclidean plane.
In geometry, a ( globally ) projective polyhedron is a tessellation of the real projective plane.
Thus the real projective space is the space of lines through the origin in Rn+1.
In the case of spatial rotations, SO ( 3 ) is topologically equivalent to three-dimensional real projective space.
The real projective plane, like the Klein bottle, can not be embedded in three-dimensions without self-intersections.
For concreteness, we give the construction of the real projective plane P2 ( R ) in some detail.
But Möbius strips, real projective planes, and Klein bottles are non-orientable.
For more about the subject, see, Introduction to Real Projective Plane.
More generally, the n-sphere Sn fibers over real projective space RPn with fiber S0.
The Lie group SO ( 3 ) is diffeomorphic to the real projective space RP3.
Intuitively, and made precise below, R1 ⊔ point is itself the real projective line P1R.
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Examples of using Projective
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A smooth curve is projective if and only if it is complete
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