In March 2013 marked 12 years since the establishment of DSC RAS Division of Mathematics and Informatics (OMI).
The story begins with the adoption of OMI Bureau of the Department of Mathematics of the Russian Academy of Sciences, the decision of 25 April 2000 "On creation of the Department of Mathematics at the Presidium of the Dagestan Scientific Center RAS."
In pursuance of this decision in the DSC RAS went Order (№4, from 13.03.2001, the) for the establishment of the Presidium of DSC RAS Division of Mathematics and Informatics (OMI). In it, in particular, the written approval of personnel of the SMI in the amount of 4 units. It should be noted the crucial role played in creating OMI support the Chairman of the Presidium of DSC RAS Corresponding Member. RAS MK Kamilov and Chief Scientific Secretary of DSC RAS Abdulaeva SH.-S.O.
Currently, the staff of the Division schedule has 9 units. Scientific and research activities carried out 8 doctors of sciences, 3 candidates of sciences, and 6 young researchers.
His scientific work OMI DSC RAS carried out in the following three areas:
In each of these fundamental areas of OMI staff conducted intensive studies. Main Their results are published in the national press, as well as in leading international journals, and received wide international acclaim.
In particular, scientists OMI:
Scientists of the Department took active part in competitions of the Russian Foundation for Basic Research Projects (RFBR). In particular, the Russian Federal Property Fund OMI performed following projects:
In addition, OMI employees took part in the projects of the program of the Presidium of Russian Academy of Sciences. Presiding over these projects Abdulaev SH.-S.O., Nazaraliev Sh, Sharapudinov II Currently, SMI carried out fundamental research program of the project Presidium of the Russian Academy of Sciences on the theme "Approximation of functions in the Lebesgue and Sobolev spaces with variable exponent and quadrature formulas".
Scientists OMI maintain close scientific relations with scientists from various countries. In particular, the scientific school headed by Prof. Sharapudinovym II, maintains close cooperation with scientists from the US (Columbia, SC), Portugal, Finland, China and Germany.
OMI Most employees are teachers in higher education institutions of the Republic of Dagestan and as such engaged in intensive research in the field of teaching methodology relevant disciplines. They are prepared and published in this direction numerous scientific articles and tutorials for students.
Scientists OMI developed algorithms and software systems, which are now successfully used in the field of processing and analysis of time-series digital signals and images.
On a regular basis organized a scientific seminar in OMI made numerous presentations by representatives of the Institute of Geology, Geothermy, socio-economic development and IYALI.
In the laboratories of the Institute of Geology of the large quantity of numerical arrays resulting set of experiments to study these processes in the world. These data sets need to be careful and deep-cal mathematics and statistical analysis to identify the most susche-governmental factors that depend on those or other processes taking place in the earth and atmosphere. Now scientists OMI most actively involved in research directly related to these tasks. We (mathematics) is currently studying the relevant literature sources where such problems were investigated for other regions of the world. We are engaged in the search for the most appropriate mathematical models describing the relevant geological and atmospheric processes involved in computer modeling of these processes. The results of our research, performed in collaboration with scientists from the Institute of Geology, will soon be published. This work is not easy and requires us not only a huge routine work, but also a creative approach to solving these applications involving new co-temporal mathematical ideas developed by scientists OMI. In particular, these include methods for approximating discrete functions convent-rows in orthogonal systems, intensively studied in OMI's in recent years and the relevant software packages.
Together with the Institute of Social and Economic Research SMI is looking for mathematical models that adequately describe the processes in various sectors of economy of Dagestan, as well as models for predicting the ways of sustainable development of the economy of individual regions of Dagestan and the whole of Dagestan as a whole.
Scientists OMI DSC RAS actively engaged in mathematical linguistics. Here, the greatest interest is in our creation of electronic dictionaries. On a weekly (on Thursdays) Research Seminar OMI DSC RAS regularly discussed issues relating to the creation of electronic dictionaries Dagestan languages. We are deeply convinced impressive scientific results can be achieved in this way. The fact is that, to our knowledge, has not yet created any Russian-Dagestani electronic dictionary. We are not talking about English-Dagestani electronic dictionaries. In connection with this growing urgent need for close cooperation between the Institute of Language and Literature (IYALI) DSC RAS and OMI DSC RAS. We need to create a joint research workshop where scientists and IYALI OMI will discuss modern methods of creating electronic dictionaries and their application to create a Russian-Dagestani and foreign-Dagestani electronic dictionaries. In addition, scientists and OMI IYALI could cooperate in a number of other areas related to the development of mathematical and computer models of the processes that are associated with the development of language, their syntax and semantics.
Scientists OMI DSC RAS conduct intensive research in the field of signal processing. We have no doubt that we have developed in this field, new methods will find practical application in matters of weather forecasting, medical signal processing (ECG) data obtained in experimental studies of geologists, biologists, economists and others. In particular, we have developed new methods of identification of parameters of stationary economic systems based on the use of orthogonal polynomials on uniform grids. OMI Graduate students are currently involved in the development of software packages for numerical implementation of these methods in practice.
Young scientists SMI actively cooperate with the Regional Centre for Ethno-Political Studies DSC RAS - developing a program for statistical analysis of opinion polls. In the long term - development of specialized software package for designing arbitrary polls, their automated filling and complete statistical data.
If you have any questions you can contact us via the contact form or by visiting one of our public seminars. We are always happy to cooperate.