Approximations in L1L^1 with convergent Fourier series

For a separable finite diffuse measure space $\mathcal{M}$ and an orthonormal basis $\{\varphi_n\}$ of $L^2(\mathcal{M})$ consisting of bounded functions $\varphi_n\in L^\infty(\mathcal{M})$, we find a measurable subset $E\subset\mathcal{M}$ of arbitrarily small complement $|\mathcal{M}\setminus E|<\epsilon$, such that every measurable function $f\in L^1(\mathcal{M})$ has an approximant $g\in L^1(\mathcal{M})$ with $g=f$ on $E$ and the Fourier series of $g$ converges to $g$, and a few further properties. The subset $E$ is universal in the sense that it does not depend on the function $f$ to be approximated. Further in the paper this result is adapted to the case of $\mathcal{M}=G/H$ being a homogeneous space of an infinite compact second countable Hausdorff group. As a useful illustration the case of $n$-spheres with spherical harmonics is discussed. The construction of the subset $E$ and approximant $g$ is sketched briefly at the end of the paper

Underwater reconstruction using depth sensors

In this paper we describe experiments in which we acquire range images of underwater surfaces with four types of depth sensors and attempt to reconstruct underwater surfaces. Two conditions are tested: acquiring range images by submersing the sensors and by holding the sensors over the water line and recording through water. We found out that only the Kinect sensor is able to acquire depth images of submersed surfaces by holding the sensor above water. We compare the reconstructed underwater geometry with meshes obtained when the surfaces were not submersed. These findings show that 3D underwater reconstruction using depth sensors is possible, despite the high water absorption of the near infrared spectrum in which these sensors operate

The substantiation of measures to optimization of nutrition for teenagers studying at residential educational establishments

Purpose: to study the actual nutrition and to prove measures for its optimization at the disabled children of middle school age living in residential school of 8th type.Materials and methods: 29 pupils of residential school of the 8th type at the age of 12-13 years are examined. Calculations of the chemical composition and energy value of diets ware made with use of the program of the analysis of a condition of food of the person, version 1.2.4 registered by the Russian Agency of Patents and Trademarks 09.02.2004 No. 2 004 610 397 of Federal State Budgetary Institution Scientifi c Research Institute of Food of the Russian Academy of Medical Sciences. Th e statistical analysis of data was carried out by means of the Statistica 6.0 program.Results: among children with day stay in school (the 1st group) persons with defi ciencies of consumption of energy and the main nutrients meet considerably more oft en (from 50.0% to 90.0%), than among peers of the 2nd group (round-the-clock stay in school) (from 0.0% to 26.3%). At boys of the 1st group the trend of relative defi ciency in a diet on energy, protein, fats and carbohydrates is revealed (from 10.3% to 28.8%), and at girls relative defi ciency of energy, protein and carbohydrates was noted (from 5.6% to 26.3%; on fats – excess for 21.4%). On the contrary, at boys of the 2nd group the excess on energy and, especially, fats (for 46.2%) was noted and at girls the excess on indicators of energy, protein, fats and carbohydrates was observed (from 23.4% to 88.3%).Conclusion: the revealed violations defi ned the list of measures for optimization of food of children who have to be realized within sanitary and educational work with parents

Effect of Layer-Stacking on the Electronic Structure of Graphene Nanoribbons

The evolution of electronic structure of graphene nanoribbons (GNRs) as a function of the number of layers stacked together is investigated using \textit{ab initio} density functional theory (DFT) including interlayer van der Waals interactions. Multilayer armchair GNRs (AGNRs), similar to single-layer AGNRs, exhibit three classes of band gaps depending on their width. In zigzag GNRs (ZGNRs), the geometry relaxation resulting from interlayer interactions plays a crucial role in determining the magnetic polarization and the band structure. The antiferromagnetic (AF) interlayer coupling is more stable compared to the ferromagnetic (FM) interlayer coupling. ZGNRs with the AF in-layer and AF interlayer coupling have a finite band gap while ZGNRs with the FM in-layer and AF interlayer coupling do not have a band gap. The ground state of the bi-layer ZGNR is non-magnetic with a small but finite band gap. The magnetic ordering is less stable in multilayer ZGNRs compared to single-layer ZGNRs. The quasipartcle GW corrections are smaller for bilayer GNRs compared to single-layer GNRs because of the reduced Coulomb effects in bilayer GNRs compared to single-layer GNRs.Comment: 10 pages, 5 figure

Relationship of the damage level of cell genetic apparatus with reproductive health disorder degree under conditions of harmful production

Purpose: to determine the relationship of the damage level of cell genetic apparatus with reproductive health disorder degree under conditions of harmful production.Materials and methods: the study involved 36 poultry farm female workers of childbearing age. The first group was made up by 22 workers of the main production. The control group included the other 14 employees who were administrative and managerial personnel. Clinical statistical study of reproductive health was carried out with simultaneous investigation of the cariological indices of buccal epithelium using a fluorescence microscope. At least 1000 cells in a monolayer were analyzed on each micropreparation. Statistical data analysis was made using Statistica 6.0.Results: in workers of the main production, there was a high spread of inflammatory gynecological diseases (90.9 % versus 57.1 % in the control group), uterine fibroids (9.1 %, versus 7.1 %). At the same time a statistically significant increase in the number of cells with micronuclei was revealed in this group by 2.6 times (p &lt; 0.05), with protrusions by 1.8 times (p &lt; 0.05), an increase in the total proliferation index by 2.3 times (p &lt; 0.05), and the two-nuclear cells made the greatest contribution to these differences. The integral indicator of cytogenetic disorders of women of the 1st group was also significantly higher by 2.0 times (p &lt; 0.05). Conclusion: negative influence of factors of poultry house production environment on cell genome stability disturbance was revealed. It has been established that the reproductive health disorder degree has a direct proportional dependence on the damage level of cell genetic apparatus

Superradiance from an ultrathin film of three-level V-type atoms: Interplay between splitting, quantum coherence and local-field effects

We carry out a theoretical study of the collective spontaneous emission (superradiance) from an ultrathin film comprised of three-level atoms with $V$-configuration of the operating transitions. As the thickness of the system is small compared to the emission wavelength inside the film, the local-field correction to the averaged Maxwell field is relevant. We show that the interplay between the low-frequency quantum coherence within the subspace of the upper doublet states and the local-field correction may drastically affect the branching ratio of the operating transitions. This effect may be used for controlling the emission process by varying the doublet splitting and the amount of low-frequency coherence.Comment: 15 pages, 5 figure

Possibilities of use of food protectors for prevention of adverse effects of tobacco smoke

The article presents some pathogenetic mechanisms of adverse effects of nicotine as a part of tobacco smoke such as carcinogenesis, atherogenesis, thrombogenesis, the influence on functional activity of internals and also a bone tissue and a mucous membrane of a mouth. For food correction of adverse effects the use of a number of ingredients for development of new technologies of functional products is scientifically grounded and recommended. The expected favorable biological effects at systematic consumption of these products are presented

Status Report of the DPHEP Study Group: Towards a Global Effort for Sustainable Data Preservation in High Energy Physics

Data from high-energy physics (HEP) experiments are collected with significant financial and human effort and are mostly unique. An inter-experimental study group on HEP data preservation and long-term analysis was convened as a panel of the International Committee for Future Accelerators (ICFA). The group was formed by large collider-based experiments and investigated the technical and organisational aspects of HEP data preservation. An intermediate report was released in November 2009 addressing the general issues of data preservation in HEP. This paper includes and extends the intermediate report. It provides an analysis of the research case for data preservation and a detailed description of the various projects at experiment, laboratory and international levels. In addition, the paper provides a concrete proposal for an international organisation in charge of the data management and policies in high-energy physics

New Particles Working Group Report of the Snowmass 2013 Community Summer Study

This report summarizes the work of the Energy Frontier New Physics working group of the 2013 Community Summer Study (Snowmass)

Bose-Einstein correlations in hadron-pairs from lepto-production on nuclei ranging from hydrogen to xenon

Bose-Einstein correlations of like-sign charged hadrons produced in deep-inelastic electron and positron scattering are studied in the HERMES experiment using nuclear targets of $^1$H, $^2$H, $^3$He, $^4$He, N, Ne, Kr, and Xe. A Gaussian approach is used to parametrize a two-particle correlation function determined from events with at least two charged hadrons of the same sign charge. This correlation function is compared to two different empirical distributions that do not include the Bose-Einstein correlations. One distribution is derived from unlike-sign hadron pairs, and the second is derived from mixing like-sign pairs from different events. The extraction procedure used simulations incorporating the experimental setup in order to correct the results for spectrometer acceptance effects, and was tested using the distribution of unlike-sign hadron pairs. Clear signals of Bose-Einstein correlations for all target nuclei without a significant variation with the nuclear target mass are found. Also, no evidence for a dependence on the invariant mass W of the photon-nucleon system is found when the results are compared to those of previous experiments