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Showing 1 to 14 of 14 for “"triple product"”.
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First explicit reciprocity law for unitary Friedberg—Jacquet periods
… including settings such as twisted and cubic triple product, symmetric cube, and Rankin--Selberg, with applications to the Bloch--Kato conjecture and to Iwasawa theory. This thesis studies the case of Galois representations attached to automorphic representations on a totally definite unitary …
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Probing New Physics Through Third Generation Leptons
… which include the important CP violating triple product asymmetries. We found that these azimuthal asymmetries, have different sensitivities to different new physics structures and hence they are powerful probes of the nature of the NP.
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Product Identities for Theta Functions
… n and a finite number of its translates, certain products of theta functions can be written as linear combinations of other products of theta functions. Many known identities, including M. D. Hirschhorn's generalization of the quintuple product identity, several modular relations for the …
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Complex Equilibrium of Laterally Curved Wakes
… to obtain all mean velocity, Reynolds stress, triple product components of the turbulence field. Single point, spectra and two-point measurements of the wakes were performed throughout the development into the far wake region. The single point results reveal the universality of the mean axial …
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Sampling Methods in Ray-Based Global Illumination
… two stage importance sampling} to sample the product of the BRDF function and a large light source such as an environment map. We then extend this method to include all three terms of the direct lighting equation, sampling the triple product of the BRDF, lighting and visibility. We show that …
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Meta-analysis of Tokamak reactor designs
… design philosophy has dominated. Trade-offs in triple product are apparent as all designs are at similar plasma temperature except He-3 reactors, while confinement time and density vary inversely among designs. The major dependencies on plasma current and size in the experimental confinement …
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L-invariants and congruences for Galois representations of dimension 3, 4, and 8
… we consider representations arising from tensor products of the two-dimensional representations attached to modular forms by Deligne. In particular, we shall study the Iwasawa theory of the adjoint representation, as well as certain double and triple products of Deligne's representations. In the …
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A fundamental analysis of means of producing and storing energy
… that the potential for commercial electricity production with either is slim, with several potential "deal breakers." Further, muon catalyzed fusion is shown to offer no practical means of producing net energy.</p><p>Furthermore, fusion fuels other than Deuterium-Tritium (DT) have triple …
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Disconnected interferometry at 81.5 MHz
… is low, and shows techniques based on the ‘triple-product’ method, proposed by Cornwell, to perform best. Secondly, a new method of instrumental stabilisation is introduced and demonstrated, in which the interferometer is calibrated by broadband signals from VHF public broadcast …
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Three-dimensional turbulence mechanisms in a supersonic separated/reattaching longitudinal cylinder wake
… Reynolds stress tensor, the fluctuating velocity triple product tensor, and the mean flow-induced turbulence production tensor, among others. This statistical information provides further insights into the spatial development of coherent turbulence mechanisms, and also serves as a detailed …
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Bijective proofs of partition identities and covering systems
… bijective proofs of these as well. The quintuple product identity is one of the most famous and useful identities in the theory of theta functions and q-series, and dates back to 1916 or earlier. In his recent survey paper on this identity, Shaun Cooper remarked that there does not exist a …
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Measurements of the Tip-gap Turbulent Flow Structure in a Low-speed Compressor Cascade
This dissertation presents results from a thorough study of the tip-gap turbulent flow structure in a low-speed linear compressor cascade wind tunnel at Virginia Tech that includes a moving belt system to simulate the relative motion between the tip and the casing. The endwall pressure measurements …