unoriented sentence in Hindi
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- This is true for unoriented cobordism.
- Bundle gerbes have also appeared in the context of Kalb-Ramond coupling to unoriented strings.
- The most investigated example is represented by thin multicrystalline silicon films, where such as the unoriented molecule.
- It follows that the space of unoriented geodesics is exactly "'RP "'2, i . e . the real projective plane.
- Characteristic numbers solve the oriented and unoriented bordism questions : two manifolds are ( respectively oriented or unoriented ) cobordant if and only if their characteristic numbers are equal.
- Characteristic numbers solve the oriented and unoriented bordism questions : two manifolds are ( respectively oriented or unoriented ) cobordant if and only if their characteristic numbers are equal.
- Anterior to the ovotestis there is a small receptaculum seminis containing sperm cells oriented with their heads to the wall, as well as a sac-like ampulla filled with unoriented autosperm.
- These works include studies of complexity issues for various problems and models of Interval Routing, and for various problems and topics in distributed computing ( like oriented and unoriented networks ) and in interconnection networks.
- Thus B " n " may refer to the unoriented diagram ( a special kind of Coxeter diagram ), the Weyl group ( a concrete reflection group ), or the abstract Coxeter group.
- Note that even for similar groups, Thom spectra can be very different : " MSO " and " MO " are very different, reflecting the difference between oriented and unoriented cobordism.
- A slope, i . e . unoriented isotopy class of simple closed curves on these boundaries, thus has a well-defined length by taking the minimal Euclidean length over all curves in the isotopy class.
- Whereas the real projective plane describes the set of all unoriented lines through the origin in "'R "'3, the "'oriented projective plane "'describes lines with a given orientation.
- Given a point " p " of the sphere, we get an unoriented geodesic by intersecting the sphere with the plane passing through the origin that is perpendicular to the chord joining the origin to " p ".
- To see that " A " and " B " are unoriented equivalent, simply note that they both may be constructed from the same pair of disjoint knot projections as above, the only difference being the orientations of the knots.
- The set of cobordism classes of closed unoriented " n "-dimensional manifolds is usually denoted by \ mathfrak { N } _ n ( rather than the more systematic \ Omega _ n ^ { \ text { O } } ); it is an abelian group with the disjoint union as operation.
- The cobordism class [ M ] \ in \ mathfrak { N } _ n of a closed unoriented " n "-dimensional manifold " M " is determined by the Stiefel Whitney characteristic numbers of " M ", which depend on the stable isomorphism class of the tangent bundle.
- From the point of view of spectra, unoriented cobordism is a product of Eilenberg MacLane spectra " MO " = " H " ( ? " ( " MO " ) ) while oriented cobordism is a product of Eilenberg MacLane spectra rationally, and at 2, but not at odd primes : the oriented cobordism spectrum " MSO " is rather more complicated than " MO ".
- If " M " is an oriented manifold, Aut ( " M " ) would be the orientation-preserving automorphisms of " M " and so the mapping class group of " M " ( as an oriented manifold ) would be index two in the mapping class group of " M " ( as an unoriented manifold ) provided " M " admits an orientation-reversing automorphism.
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