1,794 research outputs found

    A reciprocity formula from abelian BF and Turaev–Viro theories

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    AbstractIn this article we show that the use of Deligne–Beilinson cohomology in the context of the U(1) BF theory on a closed 3-manifold M yields a discrete ZN BF theory whose partition function is an abelian TV invariant of M. By comparing the expectation values of the U(1) and ZN holonomies in both BF theories we obtain a reciprocity formula

    The Bar BF Ranch

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    The area of investigation concerns the possible uses of the Bar BF Ranch in Smithville, Missouri. The business that will ultimately lead to the greatest growth potential is sought. Two possibilities are outlined. The major finding for a growth industry is that of breeding extremely rare straight Egyptian Arabian horses. They are unequaled in classic beauty and thus possess a high profit potential as a genetic pool for the Arabian market world wide. The alternate growth concept for the Bar BF Ranch would be as a quest ranch specializing in horseback riding. The site has been approved for this use by the Dude Ranchers Association of America. The author concludes that the breeding of straight Egyptian Arabian horses will be the primary objective of the Bar BF Ranch, based upon industry findings and return of investment potential

    THE INFRARED SPECTRA OF BF3_3 CATION AND BF2_2OH CATION TRAPPED IN SOLID NEON

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    Author Institution: Optical Technology Division, National Institute of Standards and Technology, Gaithersburg, MD 20899-8441New, more detailed studies of the photoionization and Penning ionization of BF3_3 trapped in solid neon have confirmed the earlier{} infrared spectroscopic identification of BF2_2 and BF2_2 cation and have yielded a revised assignment for the infrared absorptions of BF3{_3} cation. The position of the absorption attributed to ν\nu3_3 of that molecule is consistent with the distortion of the ground-state cation from D3h_{3h} symmetry because of strong vibronic interaction between levels of the \~{B} 2^2E^{\prime} state and E^{\prime} levels of the \~{X} 2^2A2_2^{\prime} ground state, as predicted by Haller and co-workers.{ppel, L.~S.~Cederbaum, W.~von~Niessen, and G.~Bieri, J.~Chem.~Phys. 78, 1359 (1983).}} The facile reaction of BF3_3 with traces of H2_2O desorbed from the walls of the vacuum system leads to the stabilization of sufficient BF2_2OH for the identification of two vibrational fundamentals of BF2_2OH cation

    Low Complexity BF scheme for downlink MISO-NOMA systems

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    In this study, the authors investigate the user selection (US), beamforming (BF) and power allocation (PA) problems for the downlink multiple-input-single-output-based non-orthogonal multiple-access system. For the US problem, they matched the BF and PA schemes with different US schemes to achieve the best spectral efficiency performance. For the BF and PA problems, they derive a non-normalised BF scheme to accomplish the BF and PA problems jointly. The non-normalised BF scheme requires much lower computational complexity than the duality BF scheme. According to their simulation results, the non-normalised BF scheme can achieve the same or better spectral efficiency performance than the duality BF scheme. When the number of users sharing the same time-frequency resource is large, both the duality BF scheme and the singular value decomposition (SVD)-based BF scheme cannot obtain spectral efficiency advantage over the OMA scheme. However, the non-normalised BF scheme can maintain the advantage over the OMA scheme.SCI(E)ARTICLE101566-15731
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