The influence of global intellectualization on human development

In the context of the global intellectualization, human capital is the determining factor in the innovation development and the international competitiveness of countries. In the XXI century. the leading component of human capital are qualitatively new information, communication and network technologies. Particular importance are education and training, professionalism, high level of human resources management, building up, reproduction and human capital development. These factors are the prerequisite for the growth of the competitive advantages of the country in the conditions of globalization

On the Lagrangian and Hamiltonian aspects of infinite -dimensional dynamical systems and their finite-dimensional reductions

A description of Lagrangian and Hamiltonian formalisms naturally arisen from the invariance structure of given nonlinear dynamical systems on the infinite--dimensional functional manifold is presented. The basic ideas used to formulate the canonical symplectic structure are borrowed from the Cartan's theory of differential systems on associated jet--manifolds. The symmetry structure reduced on the invariant submanifolds of critical points of some nonlocal Euler--Lagrange functional is described thoroughly for both differential and differential discrete dynamical systems. The Hamiltonian representation for a hierarchy of Lax type equations on a dual space to the Lie algebra of integral-differential operators with matrix coefficients, extended by evolutions for eigenfunctions and adjoint eigenfunctions of the corresponding spectral problems, is obtained via some special Backlund transformation. The connection of this hierarchy with integrable by Lax spatially two-dimensional systems is studied.Comment: 30 page

Global innovations in tourism

The article is devoted to the increasing role of tourism in the world economy. The dynamics of international tourism indicators is investigated. The main global innovations in the tourism industry are identified: the growth of tourism types; the application of qualitatively new solutions of scientific and methodological and applied character; growing of tourism influence on the society; the existence of synergistic effect in the tourist industry as a result of combination of subjects efforts at all management levels; changing of the role of internal and external factors that encourage innovative tourism development. In the article, the interaction of global processes on tourism innovations is defined. These processes are: intellectualization, informatization, cooperation, formation of the global tourism market, liberalization of the national tourism markets, increased competition and the spread of transnationalization

The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory. Part 2

The structure properties of multidimensional Delsarte transmutation operators in parametirc functional spaces are studied by means of differential-geometric tools. It is shown that kernels of the corresponding integral operator expressions depend on the topological structure of related homological cycles in the coordinate space. As a natural realization of the construction presented we build pairs of Lax type commutive differential operator expressions related via a Darboux-Backlund transformation having a lot of applications in solition theory. Some results are also sketched concerning theory of Delsarte transmutation operators for affine polynomial pencils of multidimensional differential operators.Comment: 10 page

Character Assassination: The Sociocultural Perspective

This article offers a fresh view on character assassination as a strategic effort embedded in power and ideological struggles in society. The author uses structuration theory to explain character assassination as a means of both domination and subversion. In the latter, character assassination practices are integrated into modes of signification and legitimation and executed via subversion campaigns. Knowledgeable subversive actors consider character assassination a power resource to challenge cultural hegemony and traditional moral order via strategic and audience-centered protest campaigns. Social networking sites provide strategic actors with resources to realize subversive campaigns in both liberal democracies and authoritarian societies. Although social media allow more active audiences to challenge dominant conventions, the modes and aesthetics of social protest can be easily harnessed and appropriated by power structures for spin and information control. The author calls for more research inspired by the sociocultural view of character assassination to make sense of new social phenomena such as “cancel culture.