Local limit theorems for generalized scheme of allocation of particles into ordered cells

A generalized scheme of allocation of n particles into ordered cells (components). Some statements containing sufficient conditions for the weak convergence of the number of components with given cardinality and of the total number of components to the negative binomial distribution as n → ∞ are presented as hypotheses. Examples supporting the validity of these statements in particular cases are considered. For some examples we prove local limit theorems for the total number of components which partially generalize known results on the convergence of this distribution to the normal law.

METHOD AND EXPERIENCE OF IMPLEMENTATION OF QUANTITATIVE ASSESSMENT OF DISSERTATIONS QUALITY OF DOCTORS OF PHILOSOPHY ON THE EXAMPLE OF THE SPECIALTY GEODESY AND LAND MANAGEMENT

Quantitative assessment of the quality of scientific activity occupies a significant place in the implementation of innovative developments. As part of the study, the authors proposed a method of expert quantitative evaluation of the quality of dissertations of doctors of philosophy on the example of the specialty Geodesy and Land Management, which proposes to determine the properties of the dissertation, develop an evaluation scale, quantify each property and calculate an integrated indicator, based on which the conclusion of the dissertation. Modern mobile computing tools allow you to create a mobile application for gadgets of experts, members of specialized scientific councils, and in real time (in the process of conducting a professional seminar and defending a dissertation) to quantify the quality of the dissertation. Gadgets of two reviewers, two opponents, the chairman of the specialized scientific council, and the scientific secretary are elements of the generalized scheme of collecting and integrating expert assessments on the quality of the dissertation performed for the degree of Doctor of Philosophy. The gadget of the scientific secretary is a server and is endowed with functions of transfer of information on an estimation on system of support of educational processes of department on which special page the corresponding estimations of quality of dissertations can be placed. The proposed letter assessing the quality of the dissertation consists of three parts: the first is information about the expert, the second is a system of sign-numerical scales that allow in the usual form for research and teaching staff to assess individual features of the dissertation, the third may contain specific proposals of the expert. A generalized scheme for collecting and integrating expert assessments in real time using mobile technologies has also been developed. An example of approbation of the proposed method is given. The boundaries of productive and unproductive intervals of the sign-numerical scale are considered. The proposed method meets modern requirements for digitalization. It allows you to determine in real time a quantitative indicator of the quality of research conducted by the applicant, which in turn ranks dissertations and makes them attractive to investors, which will develop promising areas of research and accelerate scientific and technological progress. The given examples of realization of a method based on theories close to human psychology – the theory of usefulness, the psychological theory of decision-making, and also wide experience of estimation of dissertation will allow to make a certain contribution to experimental researches of the organization of dissertations for the degree of doctor of philosophy.

Synthesis of an Algorithm for Processing the Trajectories of Moving Objects Using the Methods of Data Clustering Theory

Introduction. Requirements for the quality of information about the trajectory of moving objects provided by sensor networks are increasingly becoming more stringent. For Information and Data Processing Centers (DPC) at control and management command posts, the issue of information mapping and forming the true trajectories of moving objects in the area of intersection of network detection zones is of particular importance. The use of conventional approaches to solving this problem involves issues related to ensuring the efficient provision of users with complete and reliable information about trajectories in real time. In this article, wee propose a new approach to solving this problem using data mining theory, in particular, the methods of data clustering theory. Based on an analysis of the process of processing radar data in a DPC and its similarity with that of data clustering, we synthesized an algorithm for processing the trajectories of moving objects. The algorithm was verified by modelling and experimental research.Aim. To develop a generalized scheme for processing object trajectories (TP) in a DPC and to synthesized a TP algorithm using the methods of data clustering theory.Materials and methods. Data Clustering theory, Systems Engineering theory, Radar Data processing theory (RD), methods of mathematical modelling and experimental research.Results. Based on an analysis of the essence of radar data processing (RD) in a DPC and its similarity with the process of data clustering, an algorithm for processing the trajectories of moving objects was synthesized and verified by modelling and experimental research. A generalized scheme for processing the trajectories of moving objects in a DPC and a TP algorithm for a DPC were synthesized.Conclusions. An algorithm for processing object trajectories was proposed based on a new approach of data clustering theory. A generalized scheme and an algorithm for processing object trajectories (TP) in a DPC were suggested. These developments can be effectively applied in various models, e.g. centralized, hierarchical and decentralized. The synthesized algorithm can provide output information about the true identified trajectories in terms of various indicators of data processing systems (DPS).

Symmetric and asymmetric cyclic controlled quantum teleportation via nine-qubit entangled state

In this paper, by utilizing a nine-qubit entangled state as a quantum channel, we propose new schemes for symmetric and asymmetric cyclic controlled quantum teleportation (CYCQT). In our proposed schemes, four participants Alice, Bob, Charlie and David teleport their unknown quantum states cyclically among themselves with the help of a controller Eve. No participants can reconstruct the original states sent from the respective senders without the permission of the controller. Also, by considering same nine-qubit entangled state as a quantum channel, we propose a generalized scheme for CYCQT of multi-qubit states. In contrast to the previous CYCQT schemes involving three communicators and a controller, there are four communicators and a controller in the proposed schemes. Also, compared with previous CYCQT schemes, our proposed CYCQT schemes require less consumption of quantum resource and the intrinsic efficiency of the generalized scheme increases with the increase of number of qubits in the information states.

Data bank of irrigation ponds of the Saratov region

The article is devoted to the issue of improving the quality of operation of small reservoirs of the left-bank districts of the Saratov region through the development and implementation of an automated data bank of their safety parameters. It provides a generalized scheme for the functioning of an automated databank, as well as the structure of the database, which should include 27 relational files containing all the necessary information for declaring the safety of hydraulic structures of reservoirs and calculating the harm to the population and subjects of economic and economic activity, various natural and man-made objects in case of accidents. The creation of such an automated data bank will improve the quality of monitoring the condition and management of hydraulic structures of the reclamation systems of the Saratov Trans-Volga region and will pay off in 5 years.

Implementation of flood diversion canals and retention ponds to the H08 global hydrological model for flood management

<p>Flood diversion canals play a crucial role in assuaging the flood risk by diverting water from the main channel to the nearby rivers, downstream of the same river, or the ocean. For the impact assessment of such canal systems on river discharge worldwide, their explicit inclusion into the global hydrological models (GHMs) is necessary. Despite this fact, such representation is limited due to their complex operations and lack of data. Therefore, we aim to propose a generalized scheme for the flood water diversion in the H08 GHM that ideally requires the universal parameters only. In this scheme, if the discharge exceeds the channel capacity, an amount equivalent to canal capacity is diverted to the canal, which will then flow to the retention ponds, and finally to the destination once the retention ponds get full. A regionalized scheme with site-specific parameters was also considered to evaluate the validity of the simulations.</p><p>The proposed scheme was tested in the upper Chao Phraya River basin, which is characterized by four tributaries of Ping, Wang, Yom, and Nan. The government has implemented Yom-Nan canal system to divert water from Yom to Nan River since 2014 to alleviate flooding in the lower Yom basin. The effect of this canal system was analyzed from 1980-2004 using the H08 model with the generalized scheme as well as the regionalized scheme. The simulations showed that the total flood water diverted from the Yom River was around 1.00 km<sup>3</sup>/year and 1.64 km<sup>3</sup>/year under the generalized and regionalized schemes, respectively, over the 25 years. This constitutes about 2.62% and 4.29% of the river discharge in the Yom River at the diversion point. In both simulations, nearly 30% of the water has been diverted to the Nan River and the remaining 70% was stored in the retention ponds. To assess the validity of the simulations, we compared the simulation results of the wet water-year 1994 with the observed canal operation data of the wet water-year 2017. The total flood water diverted was around 0.47 km<sup>3</sup>/year during the year 2017, whereas the same for 1994 was about 0.17 km<sup>3</sup>/year and 0.48 km<sup>3</sup>/year under the generalized and regionalized schemes, respectively. This shows that the regionalized simulations are close to the observations, while the generalized simulations reproduced nearly half of the diverted canal flow. The generalized simulations can be further improved by parameterizations.</p>