New concepts are introduced in the present work. They are a quite normal index and a quite perfect system of functions. Using these concepts, the uniqueness criterion for solution of two Hermite – Pade problems is proved, the explicit determinant representations of type I and II Hermite – Padé polynomials for an arbitrary system of power series are obtained. The results obtained complement and generalize the well-known result in the theory of Hermite – Padé approximations.
In the article, the authors have integrated the network approach and the Frontier Theory, proving the heuristic potential of such a synthesis in discovering of the network society flexible borders development logic. The conceptual ideas of the Frontier Theory were revealed by the American historian F.J. Turner and his followers, later this approach was borrowed and adopted in other branches of social sciences and humanities. The authors disclose the potential of this theory with regard to the social space, including the network space. In this research, the network frontier is defined as a mobile space border of contact and mutual interpenetration between the network society social/cultural practices and those of previous times. The main stages of its development are justified and described according to several criteria. These are availability and variety of interfaces; specific technological platforms that create conditions for the networks and communities formation; centering of frontier zones around the "gravitational fields" (which are different network leaders and innovative practices in the network structures); the role of a state in implementation of control, regulatory and coordinating functions in the public network space. The researchers have identified and discussed some of the network frontier markers, such as the mobility of network border, specific features of governing system, "abuse of administrative power" and arbitrariness. The frontier demonstrates numerous examples of transgressions, first of all, in the identities formation. The directions of future research are outlined in the article: the network frontier myths and heroes, the evolution of the frontier type of personality in different social spaces, and other. Modern political processes, the growth of the developmental non-linearity and uncertainty actualize the frontier discourse in political studies. Acknowledgements. This article was prepared with fi nancial support provided by the Russian State Humanitarian Foundation (research grant № 15-03-00339 "The Frontier of Network Society as a Space of Political Interaction").
В статье рассматривается делиберативное взаимодействие партий "Единая Россия", КПРФ, ЛДПР и "Справедливая Россия" и электората в дискурсивном пространстве сети Интернет во время электорального цикла 2021 года. ; The article presents part of the study, the object of which is the deliberative interaction between the parties "United Russia", the Communist Party, the Liberal Democratic Party and "Fair Russia" and the electorate in the discursive space of the Internet during the electoral cycle of 2021.
В статье рассматриваются этапы трансформации модели "Говорящий - Слушающий" с точки зрения способов генерирования, передачи, распространения контента и охвата аудитории. ; Through the prism of the scientific paradigm of "linguistic turn", the article describes 5 stages of transfor-mation of the model "Speaker - Listener" from the point of view of the methods of generation, transmission, and dissemination of content, audience attraction, as well as in terms of assessment of the result and the reaction of users / readers, consisting in the feedback and actional response (online / offline
An asynchronous multimodal discursive field formed by political content is a reflection of the activities of a network community from a small community of residents of any locality to network communities operating within the sub-jects of the Russian Federation and in the whole country. Political content is able to transform socio-political reality by pro-ducing events - a message or a series of messages that can change the balance of power or interests in society. Regional political discourse, political content and the asynchronous multimodal discursive fields produced by it accumulate the poten-tial of social action in the online space which can lead to both constructive and destructive actions in the offline space. To analyze the regional political discourse, a political content management model was applied and a research methodology was tested. ; В статье рассматриваются особенности формирования и развития регионального политического дискурса в онлайн-пространстве современных субъектов Российской Федерации.
The specificity of modern socio-political and linguistic changes is most clearly reflected in the function-ing of linguistic models of socio-political communication between citizens / consumers in relation to institutionalized and non-institutionalized political actors. Modern social reality is largely shaped by the influence of the Internet and social me-dia. The functional segmentation of social media is an effect of the coronavirus era. The social networking website Twitter has become a source of political content worldwide in 2019-2020. The empirical base of the study includes two sets of net-work data: the first data set (March 2020, 50,000 messages) and the second data set (June 2020, 50,000 messages) consist of network data obtained by the method of continuous unloading of messages published by Twitter users and containing the keyword "trump" through the Twitter API. ; В статье рассматривается смена позитивного дискурса в отношении Д. Трампа на отрицательный, в котором превалирующими стали обсуждение протестов и резкая критика со стороны всех групп населения.
