Spectral gaps of Schrödinger operators with periodic singular potentials

By using quasi-derivatives we develop a Fourier method for studying the spectral gaps of one dimensional Schrodinger operators with periodic singular potentials v. Our results reveal a close relationship between smoothness of potentials and spectral gap asymptotics under a priori assumption v is an element of H-loc(-1)(R). They extend and strengthen similar results proved in the classical case v is an element of L-loc(2)(R)

Investigation of the relationship between tinnitus and temporomandibular disorders

Globally, tinnitus affects between 14 and 32% of the population, occurring at any age of both sexes and increasing with age. The most significant otologic symptoms such as ear pain, tinnitus, dizziness, and hearing loss in clinical practice are often associated with disorders of the nearby temporomandibular joint. Dental practice often has abnormalities of the temporomandibular joint, with an incidence of 18–27% in the population. These disorders may be associated with trauma, injury or dislocation in the disc of the temporomandibular joint, excessive strain on the jaw muscles (e.g., bruxism), arthritis or malocclusion. Symptoms include pain in the jaw and/or face, difficulty opening the jaw and chewing, and sounds when opening the mouth (for example, when talking or chewing). The incidence of tinnitus in subjects with temporomandibular disorders is up to 60%. This report traces the link between tinnitus and temporomandibular disorders

Investigation of voice characteristics and their modification in dental prosthetics

Each person's voice is unique. Voice quality is characterized by intelligibility of speech (correlation between voice pitch, volume, timbre and speech speed). Changes in the oral cavity due to tooth loss and resorption of processus alveolaris maxillae or processus alveolaris mandibulae can cause defects in the patient's voice and speech. When using incorrect or functionally low-quality dentures, other changes can be observed, such as skipping, replacing, distorting, adding sounds, as well as nasal speaking. Restrictions or changes in the normal movement of the jaws may interfere with the transmission of acoustic energy through the oral cavity, thereby affecting both the voice characteristics and capabilities, and the balance of the oral resonance. Phonetic adaptation of prosthetic patients depends on the choice and placement of artificial teeth, on the thickness, size and placement of the prosthetic base, optimal tongue space, individual adaptive ability, and the patient's ability to recognize the sound. This report presents the possibilities for maximum restoration of voice characteristics in effective collaboration between the dental team and specialists in otolaryngology and speech therapy

Combined Forward-Backward Asymmetry Measurements in Top-Antitop Quark Production at the Tevatron

The CDF and D0 experiments at the Fermilab Tevatron have measured the asymmetry between yields of forward- and backward-produced top and antitop quarks based on their rapidity difference and the asymmetry between their decay leptons. These measurements use the full data sets collected in proton-antiproton collisions at a center-of-mass energy of $\sqrt s =1.96$ TeV. We report the results of combinations of the inclusive asymmetries and their differential dependencies on relevant kinematic quantities. The combined inclusive asymmetry is $A_{\mathrm{FB}}^{t\bar{t}} = 0.128 \pm 0.025$. The combined inclusive and differential asymmetries are consistent with recent standard model predictions

Production of He-4 and (4) in Pb-Pb collisions at root(NN)-N-S=2.76 TeV at the LHC

Results on the production of He-4 and (4) nuclei in Pb-Pb collisions at root(NN)-N-S = 2.76 TeV in the rapidity range vertical bar y vertical bar <1, using the ALICE detector, are presented in this paper. The rapidity densities corresponding to 0-10% central events are found to be dN/dy4(He) = (0.8 +/- 0.4 (stat) +/- 0.3 (syst)) x 10(-6) and dN/dy4 = (1.1 +/- 0.4 (stat) +/- 0.2 (syst)) x 10(-6), respectively. This is in agreement with the statistical thermal model expectation assuming the same chemical freeze-out temperature (T-chem = 156 MeV) as for light hadrons. The measured ratio of (4)/He-4 is 1.4 +/- 0.8 (stat) +/- 0.5 (syst). (C) 2018 Published by Elsevier B.V.Peer reviewe

Azimuthal anisotropy of charged jet production in root s(NN)=2.76 TeV Pb-Pb collisions

We present measurements of the azimuthal dependence of charged jet production in central and semi-central root s(NN) = 2.76 TeV Pb-Pb collisions with respect to the second harmonic event plane, quantified as nu(ch)(2) (jet). Jet finding is performed employing the anti-k(T) algorithm with a resolution parameter R = 0.2 using charged tracks from the ALICE tracking system. The contribution of the azimuthal anisotropy of the underlying event is taken into account event-by-event. The remaining (statistical) region-to-region fluctuations are removed on an ensemble basis by unfolding the jet spectra for different event plane orientations independently. Significant non-zero nu(ch)(2) (jet) is observed in semi-central collisions (30-50% centrality) for 20 <p(T)(ch) (jet) <90 GeV/c. The azimuthal dependence of the charged jet production is similar to the dependence observed for jets comprising both charged and neutral fragments, and compatible with measurements of the nu(2) of single charged particles at high p(T). Good agreement between the data and predictions from JEWEL, an event generator simulating parton shower evolution in the presence of a dense QCD medium, is found in semi-central collisions. (C) 2015 CERN for the benefit of the ALICE Collaboration. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).Peer reviewe