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The study is devoted to the modeling and forecasting seasonal fluctuations in the hospitality industry to align them in a timely manner. It will increase the level of operation of fixed assets, employment, rational use of key groups of resources and contribute to the development of measures to reduce seasonal irregularity in the studied sphere, identify socio-economic consequences of seasonality not only at the level of an individual organization, complex, region, but also the country as a whole. The model with additive component (variation of variable values in the form of trend, seasonal and random components), taking into account the data on the number of tour packages sold by travel agencies for the last fourteen quarters, is used as a basic one. The algorithm of seasonality analysis is represented by three basic steps, including calculation of seasonal component values, decrease in the seasonality factor of data and trend, and assessment of forecast accuracy. To eliminate the influence of the seasonal component, the moving average method is used, which is based on the replacement of the actual levels of the dynamic series by the estimated ones with a much smaller variation (fluctuation). In the process of the study we built models, in particular, linear, power, exponential and logarithmic ones, and selected a trend model (power model in this case), which provides the highest approximation accuracy. The constructed model allowed to determine the forecasted number of sold tour packages, taking into account seasonal and trend components. It is concluded that the study of seasonal fluctuations in hospitality on the basis of the built model will allow to develop targeted measures to eliminate or smooth the seasonality, develop sustainable demand and increase the availability of the product (service) of hospitality., Originally published in https://ruservices.rgutspubl.org/index.php/1/article/view/242

The article investigates the intensive development of the sheep breeding farms of the republic, their mating campaigns and their peculiarities. Also, a month before the ram rush, the hormones of melatonin and progesterone were added to the powder of barley and corn in the powder form, and the percentage of motivation and puppies was studied. At the same time, specific features of Balbas breeds and their mating campaign was also analyzed., {"references":["1.\tVeniaminov A.A., Sergeev N.I. Sheep Reproductive Performance. M. Rosselhozzat, 1979. p. 111.","2.\tVeniaminov A.A. Breeding in sheep // Animal husbandry. 1981, No. 8, p. 48-49.","3.\tGolikov A.I. Adaptation of farm animals. M. Agropromizdat, 1985, p. 101.","4.\tGaffarov A.K. Recommendation on the use of trace elements in sheep breeding in Tajikistan. Dushanbe, 1975.S. 18.","5.\tGaffarov. A.K. Development of measures to improve the feeding and maintenance of Hissar sheep // Author. dis. Cand. e. x. sciences. M. 1952, p. 20.","6.\tErokhin A.I. et al. Efficiency of industrial crossing of merino with meat-wool sheep // News TSHA. 1999, No. 4. from. 144-154.","7.\tScientific foundations of the restoration and development of Romanov sheep husbandry in the Russian Federation / A.M. Zhiryakov, I.N. Shaidullin, Sin Yu.Sen et al. // Sheep, goats, woolen work. 2002, No. 4, p. 1-5.","8.\tRushanov, A.A. Biological features of balbas sheep. Monography – c. Nakhichevan - 2015. P. 79-84.","9.\tTerentyev V.V. New breeding achievements in sheep breeding. - Agricultural science. 2004, No. 5, p. 144-154."]}

This article reveals the characteristics of this legal institution for various reasons, based on a brief history of the marriage contract and an analysis of the legal regulation of the terms of the marriage contract in individual foreign countries. At the same time, on the basis of the legislation of foreign countries, the analysis of conflicts between spouses complicated by a foreign element, arising in the regulation of property and personal non-property relations established by the marriage contract, was included in the national legislation.

Variational principles for real eigenvalues of self-adjoint operator pencils in non-separated root zones are studied.

A canonical variable coefficient nonlinear Schr��dinger equation with a four dimensional symmetry group containing $\SL(2,\mathbb{R})$ group as a subgroup is considered. This typical invariance is then used to transform by a symmetry transformation a known solution that can be derived by truncating its Painlev�� expansion and study blow-ups of these solutions in the $L_p$-norm for $p>2$, $L_\infty$-norm and in the sense of distributions., 10 pages