Division subspaces and integrable kernels

In this note we prove that the reproducing kernel of a Hilbert space satisfying the division property has integrable form, is locally of trace class, and the Hilbert space itself is a Hilbert space of holomorphic functions.Comment: 11 page

ANTARCTIC OZONE HOLE AS A NATURAL GEOPHYSICAL OBJECT

Satellite data on total ozone content for 1985-2015 have been used. Methods of evaluating ozone deficit in the polar region and its excess in middle latitudes of the Southern Hemisphere have been developed. In early spring the ozone molecules outflow and the ozone anomaly forms. Ozone inflows the middle latitudes, its total content increases and a ring with elevated TO forms. In October-November the dynamic process reverses, from the ring the ozone molecules transfer to the polar latitudes. The amount of ozone leaving the ring into the polar regions and filling the ozone anomaly is virtually the same. The results produces indicate that the Antarctic ozone hole is a natural geophysical formation

Hydrogeological monitoring of karst activity based on regime observations in the territory of karst lakes

This article shows that the most sensitive indicator of local and regional karst activity in territories of apparent karst processes is the behaviour of karst lakes. The authors propose a hydrogeological monitoring methodology for the karst process based on the phase-measuring geoelectric control method in the coastal zone of karst lakes. The geoelectric current control of hydrogeological changes in the medium at local levels uses a multi-frequency vertical electric sounding combined with a phase-measuring method of registering the geoelectric signal. These proven methods permit to distinguish variations of spatial parameters and the electric conductivity of several layers at a time. Moreover, they significantly increase the noise resistance and sensitivity of the measuring system. An adaptive algorithm function of the measuring complex for geoelectric monitoring of karst lakes’ coastal zones was developed to control the operation of facilities and data collection systems. Based on an example of a lake where karst processes are active, the key zones of hydrogeological control were identified depending on karst manifestations. The research confirmed the possibility of local and regional monitoring of the development and forecasting of destructive karst-suffosion processes based on hydrogeological regime observations of karst lakes

Surgical treatment of giant adenomas of parathyroid glands in primary hyperparathyroidism

Primary hyperparathyroidism is a serious disabling disease. The lack of screening for hypercalcemia in the Russian Federation is a serious obstacle to the timely provision of specialized surgical care for patients with hyperparathyroidism. Early diagnosis of primary hyperparathyroidism and surgical removal of parathyroid glands adenomas can prevent complications development from the kidneys and other organs and systems. This article presents two clinical case reports of surgical treatment for patients with primary hyperparathyroidism and giant parathyroid glands adenomas (5.83.51.5 cm, weighing 16.5 g, and 6.03.52.5 cm, weighing 40 g). In both cases, the concentration of parathyroid hormone and total calcium in blood was significantly increased (586.7 pg/ml and 3.12 mmol/l, and 876 pg/ml and 3.55 mmol/l, respectively). In both cases, the parathyroid gland adenomas were found too late, and the patients were sent out for surgeon treatment untimely. Both patients underwent surgery. Postoperative period without complications. Removal of adenomas was performed under visual control of recurrent laryngeal nerves. In the early postoperative period there was a sharp decrease of parathyroid hormone and ionized calcium concentrations in blood, which confirmed the adequacy of the treatment. The patients were discharged in a good condition for further supervision of a surgeon and endocrinologist in an out-clinic

Tribological Properties of WS2 Thin Films Containing Graphite-like Carbon and Ni Interlayers

The development and production of thin-film coatings having very low friction is an urgent problem of materials science. One of the most promising solutions is the fabrication of special nanocomposites containing transition-metal dichalcogenides and various carbon-based nanophases. This study aims to explore the influence of graphite-like carbon (g-C) and Ni interface layers on the tribological properties of thin WS2 films. Nanocrystalline WS2 films were created by reactive pulsed laser deposition (PLD) in H2S at 500 °C. Between the two WS2 nanolayers, g-C and Ni nanofilms were fabricated by PLD at 700 and 22 °C, respectively. Tribotesting was carried out in a nitrogen-enriched atmosphere by the reciprocal sliding of a steel counterbody under a relatively low load of 1 N. For single-layer WS2 films, the friction coefficient was ~0.04. The application of g-C films did not noticeably improve the tribological properties of WS2-based films. However, the application of thin films of g-C and Ni reduced the friction coefficient to 0.013, thus, approaching superlubricity. The island morphology of the Ni nanofilm ensured WS2 retention and altered the contact area between the counterbody and the film surface. The catalytic properties of nickel facilitated the introduction of S and H atoms into g-C. The sliding of WS2 nanoplates against an amorphous g-C(S, H) nanolayer caused a lower coefficient of friction than the relative sliding of WS2 nanoplates. The detected behavior of the prepared thin films suggests a new strategy of designing antifriction coatings for practical applications and highlights the ample opportunities of laser techniques in the formation of promising thin-film coatings

Experience of diagnostics and surgical treatment primary hyperparathyroidism

Background. PHPT in developed countries is evaluated as the third endocrine epidemic following diabetes mellitus and thyroid gland diseases. Materials and methods. 36 patients ill with hyperparathyroidism had been operated. The number of women prevailed and was equal to 81% (29 women) (c2 = 26.89, p = 0.0000). The age of the patients ranged from 33 up to 82. 17 patients had a mixed form of PHPT, 10 patients had a kidney form and 9 patients had an osseous form of the disease. Results. Pre-operative ionized calcium median significance was 1.6 mmol/l. Mild degree of hypercalcemia was observed in 26 patients (72%), moderate degree was observed in 4 patients (11%) and 6 patients (17%) had a severe degree of hypercalcemia. Pre-operative PTH median was 169.95 pg/ml. The severity of the condition of the patients ill with PHPT was confirmed by the presence of hypercalcemia before the surgery which revealed in moderate statistically significant correlation of ionized calcium level with PTH level (r = 0,38, while p = 0,02) and adenoma size (r = 0.48, while p = 0.03). To provide adenoma topical diagnostics we used not less than 2 instramental investigation techniques. PTGs adenoma data were confirmed by ultrasonic examination and scintigraphy not more than in 79% and 72% of cases respectively, and MRI confirmed 88,2% of cases. One or two PTG adenomas were removed in all patients. Al together 65 PTG adenomas were removed. Associating thyroid gland pathology was marked in 88% of cases (28 patients). Ionized calcium median was decreasing statictically significantly up to 1.14 mmol/l (0.46 mmol/l decrease 29% while p = 0.00001) the day following the surgery. PTH value decreased significantly up to 70.45 pg/ml after the surgery (99.5 pg/ml 58% decrease while p = 0.00001). Conclusion. PHPT is more often met in women above 50 years old. Combined TG and PTG lesions were observed in 88% of cases and they demand simultaneous surgery and further investigation. More than one PTG adenoma was observed in 81% (29 patients) of cases and this is not considered to be typical for PHPT according to scientific data. More than one instrumental investigation methods are necessary for PTG adenomas topical diagnostics. We should be critical towards pre-operative data and keep in mind the possibility of multiple PTG lesion and apply the rule of symmetrical bilateral PTG location