Gorenstein Latin squares

We introduce the notion of a Gorenstein Latin square and consider loops and quasigroups related to them. We study some properties of normalized Gorenstein Latin squares and describe all of them with order n≤8

РАСЧЕТНАЯ ОЦЕНКА ПРОИЗВОДИТЕЛЬНОСТИ И ПРОЕКТИРОВАНИЕ ДВУХСЕКЦИОННОГО ВЫНОСНОГО РОТОРНОГО НАСОСА С ВНУТРЕННИМ ЭПИЦИКЛОИДАЛЬНЫМ ЗАЦЕПЛЕНИЕМ

The main purpose of the research is to design a remote oil rotary pump with independent sections. During the study carried out CAD model of the oil pump was designed. Calculations of productivity, resource and check on durability have been made. The pump was developed for Honda CBR 600 engine and adapted to dry sump system connection. The prototype of the model was made using 3D printingto identify and eliminate the defects in design, and to optimize the layout.A Remote rotary pump was the result of this work so far, ready for manufacturing and followed by installation it on the vehicle.Основной целью исследования является проектирование выносного роторного насоса с независимыми секциями. В ходе исследования была спроектирована модель насоса в системе автоматизированного проектирования (CAD-система). Произведены расчеты производительности и мощности. Насос разрабатывался для усовершенствования штатной системы смазки и установки его в масляную систему двигателя Honda CBR 600. Такой насос позволяет реализовать систему смазки с сухим картером. Образец (макет) данной модели был изготовлен с применением 3D печати, для выявления и устранения недочетов конструкции, а также с целью оптимизации компоновки. Результатом проделанной работы стал проект выносного роторного насоса, готовый к изготовлению, c последующей установкой на двигатель

Generalized scaling in fully developed turbulence

In this paper we report numerical and experimental results on the scaling properties of the velocity turbulent fields in several flows. The limits of a new form of scaling, named Extended Self Similarity(ESS), are discussed. We show that, when a mean shear is absent, the self scaling exponents are universal and they do not depend on the specific flow (3D homogeneous turbulence, thermal convection , MHD). In contrast, ESS is not observed when a strong shear is present. We propose a generalized version of self scaling which extends down to the smallest resolvable scales even in cases where ESS is not present. This new scaling is checked in several laboratory and numerical experiment. A possible theoretical interpretation is also proposed. A synthetic turbulent signal having most of the properties of a real one has been generated.Comment: 25 pages, plain Latex, figures are available upon request to the authors ([email protected], [email protected]

Случай из клинической практики: прогрессирующее рецидивирующее течение гигантской кондиломы Бушке - Левенштейна

The authors describe two clinical cases of a malignant giant condyloma (Buschke - Lowenstein tumor), one of which resulted in a lethal outcome. Despite its benign histology, this neoplasm demonstrates evident aggressive and malignant clinical characteristics. The development of this tumor is associated with the papilloma viral infection. Immunodeficiency was diagnosed in the patients in both cases. The lethal outcome was a result of severe anemia, intoxication and local complications. Surgery was the main method of treatment. However, the results were unsatisfactory in view of a weak response to treatment and high risk of relapses. Administration of up-to-date topical immunopotentiators such as Imiquimod seems to be promising because in addition to its principal immunopotentiating effect it may also have a haemostatic action.Описываются два клинических случая гигантской кондиломы Бушке - Левенштейна, один из которых закончился летальным исходом. Современные представления о данном дерматозе позволяют рассматривать его как вариант веррукозной карциномы. Развитие опухоли связывают с папилломавирусной инфекцией. В обоих случаях у пациентов был выявлен иммунодефицит. Летальный исход был обусловлен анемией тяжелой степени, интоксикацией и местными осложнениями. Основной метод лечения - хирургический. Однако результаты следует признать неудовлетворительными в связи со слабым ответом на лечение и высоким риском рецидивов. Перспективным является применение современных топических иммуностимуляторов, таких как имиквимод, который помимо основного иммуностимулирующего, возможно, обладает гемостатическим эффектом

Glueballs in Strongly Interacting Theories at the Electroweak Scale

Several proposals for dynamical electroweak symmetry breaking and fermion mass generation involve strong gauge interactions with a characteristic scale of a few hundred GeV. The detection of the glueballs which should occur in such models would be a indication of the non-Abelian nature of the gauge theories operating at this scale. We discuss signatures for these particles.Comment: 8 pages, Latex Documen

Influence of small miscuts on self-ordered growth of Ge nanoislands

Using high-resolution X-ray diffraction (HRXRD), we have investigated lateral ordering the nanoislands formed from Ge wetting layer of various thicknesses deposited on a strained Si₁₋xGex sublayer. We observed that the high lateral ordering degree is initiated by ordered modulation of non-uniform deformation fields. This modulation is induced by small (∼0.3°) misorientation of Si substrate from [001] direction. Finally, we show that the miscut can be the source of perfectly ordered nanoisland arrays in two dimensions when the growth is performed on the strained SiGe (001) sublayer. The effect of substrate miscut can be amplified tuning the deviation of buffer layer surface from [001] growth direction via increasing the Ge content

Impact of the carrier relaxation paths on two-state operation in quantum dot lasers

We study InGaAs QD laser operating simultaneously at ground (GS) and excited (ES) states under 30ns pulsed-pumping and distinguish three regimes of operation depending on the pump current and the carrier relaxation pathways. An increased current leads to an increase in ES intensity and to a decrease in GS intensity (or saturation) for low pump range, as typical for the cascade-like pathway. Both the GS and ES intensities are steadily increased for high current ranges, which prove the dominance of the direct capture pathway. The relaxation oscillations are not pronounced for these ranges. For the mediate currents, the interplay between the both pathways leads to the damped large amplitude relaxation oscillations with significant deviation of the relaxation oscillation frequency from the initial value during the pulse

The effect of slow passage in the pulse-pumped quantum dot laser

In recent years, quantum-dot (QD) semiconductor lasers attract significant interest in many practical applications due to their advantages such as high-power pulse generation because to the high gain efficiency. In this work, the pulse shape of an electrically pumped QD-laser under high current is analyzed. We find that the slow rise time of the pulsed pump may significantly affect the high intensity output pulse. It results in sharp power dropouts and deformation of the pulse profile. We address the effect to dynamical change of the phase-amplitude coupling in the proximity of the excited state (ES) threshold. Under 30ns pulse pumping, the output pulse shape strongly depends on pumping amplitude. At lower currents, which correspond to lasing in the ground state (GS), the pulse shape mimics that of the pump pulse. However, at higher currents the pulse shape becomes progressively unstable. The instability is greatest when in proximity to the secondary threshold which corresponds to the beginning of the ES lasing. After the slow rise stage, the output power sharply drops out. It is followed by a long-time power-off stage and large-scale amplitude fluctuations. We explain these observations by the dynamical change of the alpha-factor in the QD-laser and reveal the role of the slowly rising pumping processes in the pulse shaping and power dropouts at higher currents. The modeling is in very good agreement with the experimental observations

Slow passage through thresholds in quantum dot lasers

A turn on of a quantum dot (QD) semiconductor laser simultaneously operating at the ground state (GS) and excited state (ES) is investigated both experimentally and theoretically. We find experimentally that the slow passage through the two successive laser thresholds may lead to significant delays in the GS and ES turn ons. The difference between the turn-on times is measured as a function of the pump rate of change and reveals no clear power law. This has motivated a detailed analysis of rate equations appropriate for two-state lasing QD lasers. We find that the effective time of the GS turn on follows an -1/2 power law provided that the rate of change is not too small. The effective time of the ES transition follows an -1 power law, but its first order correction in ln is numerically significant. The two turn ons result from different physical mechanisms. The delay of the GS transition strongly depends on the slow growth of the dot population, whereas the ES transition only depends on the time needed to leave a repellent steady state

Different morphological structures of breast tumors demonstrate individual drug resistance gene expression profiles

Aim: To identify gene expression profiles involved in drug resistance of different morphological structures (tubular, alveolar, solid, trabecular, and discrete) presented in breast cancer. Material and Methods: Ten patients with luminal breast cancer have been included. A laser microdissection-assisted microarrays and qRT-PCR were used to perform whole-transcriptome profiling of different morphological structures, to select differentially expressed drug response genes, and to validate their expression. Results: We found 27 differentially expressed genes (p < 0.05) encoding drug uptake (SLC1A3, SLC23A2, etc.) and efflux (ABCC1, ABCG1, etc.) transporters, drug targets (TOP2A, TYMS, and Tubb3), and proteins that are involved in drug detoxification (NAT1 and ALDH1B1), cell cycle progression (CCND1, AKT1, etc.), apoptosis (CASP3, TXN2, etc.), and DNA repair (BRCA1 and USP11). Each type of structures showed an individual gene expression profile related to resistance and sensitivity to anticancer drugs. However, most of the genes (19/27; p < 0.05) were expressed in alveolar structures. Functional enrichment analysis showed that drug resistance is significantly associated with alveolar structures. Other structures demonstrated the similar number (10–13 out of 27) of expressed genes; however, the spectrum of resistance and sensitivity to different anticancer drugs varied. Conclusion: Different morphological structures of breast cancer show individual expression of drug resistance genes. Key Words: breast cancer, tumor heterogeneity, gene expression, chemotherapy, drug resistance