Development Trends and Dominant Characteristics of Human Capital in the Digital Transformation of the Economy

In the paper, the author attempts to determine spe-cific to the Russian economy development trends and characteristics of human capital. It is done in the context of digitalization of the economy in com-parison with global trends, such as intellectualiza-tion and creativization, virtualization and network-ing, integrativity and variability of education, coher-ence of competencies, a combination of conver-gence and divergence of technogenesis and anthro-pogenesis, based on content analysis of scientific literature and empirical sources. It is shown that the trends in the evolution of human capital in the Rus-sian economy in the context of digital transfor-mation generally correspond to current global trends. As features of the current stage of human capital development in the Russian economy, the weak involvement of the population in the process-es of continuing education, the low level of social capital development in vast rural areas of the coun-try, aggravated by digital inequality, and the short-age of regional universities that can play a key role in the formation of regional intellectual capital are identified. Overcoming these negative characteris-tics requires the development and implementation of new, global trends-oriented, effective forms and mechanisms for the reproduction of human capital.

Strong convergence of Picard and Mann iterations for strongly demicontractive multi-valued mappings

A class of demicontractive mappings was first introduced in [Hicks, T. L. and Kubicek, J. D.,On the Mann ite-ration process in a Hilbert space, J. Math. Anal. Appl.,59(1977) 498–504 and M ̆arus ̧ter, S ̧ .,The solution by iterationof nonlinear equations in Hilbert spaces, Proc. Amer. Math. Soc.,63(1977), 69–73] and was first mentioned in thecase of multi-valued mappings in [Chidume, C. E., Bello, A. U. and Ndambomve, P.,Strong and∆-convergencetheorems for common fixed points of a finite family of multivalued demicontractive mappings in CAT(0) spaces, Abstr.Appl. Anal.,2014(2014), https://doi.org/10.1155/2014/805168 and Isiogugu, F. O. and Osilike, M. O.,Conver-gence theorems for new classes of multivalued hemicontractive-type mappings, Fixed Point Theory Appl.,2014(2014),https://doi.org/10.1186/1687-1812-2014-93]. The demicontractivity with some weak smoothness conditionsensures only weak convergence of Mann iteration. In 2015, M ̆arus ̧ter and Rus [Kannan contractions and stronglydemicontractive mappings, Creat. Math. Inform.,24(2015), No. 2, 173–182], introduced a class of strongly de-micontractive mappings, and also discussed some relationships between strongly demicontractive mappingsand Kannan contractions. In this paper, we introduce a new class of strongly demicontractive multi-valuedmappings in Hilbert spaces. Strong convergence theorems of Picard and Mann iterative methods for stronglydemicontractive multi-valued mappings are established under some suitable coefficients and control sequences.

I ministeri ecclesiastici ed il rapporto tra “temporale” e “spirituale” nell’opera di Giovanni Crisostomo

Ministers of the Church, whose characters were well defined in the second half of the fourth century, were more and more identified as the perfect believers. In the texts of John Chrysostom several models of “spiritual man” emerge on the basis of his personal experience and the evolution of his works: the monk, the presbyter, and the bishop. One notes that the relation of the Church to secular institutions is of greater importance in the works of Chrysostom, paying as he does particular attention to the autonomy of the Church. In an original way he refrains from criticizing political institutions, preferring to express a balanced view. He holds that a coexistence with political authorities is possible, and he urges a moral conver-gence with them. Ecclesial ministries find a more solid basis in the Chrysostom’s complex and sometimes pained statements, both in their ideal expressions and in their concrete effects on the society of the fourth century.

Time and Space in Long-term Development of Agriculture and Rural Areas - a Retrospective Approach

The development processes taking place in agriculture and rural areas have a causal relationship with time and the socio-economic space to which they belong. The subject of this discussion is an attempt to systematize some achievements of science relating to the above mentioned areas through the prism of the theory of location of economic activity in agriculture, welfare economics and neoclassical models of growth and conver-gence, and models of agricultural development worldwide, with an indication of the rela-tionship between the industrial agriculture, space and sustainable development. It is also an attempt to present the relationship: the farming - the rural areas - the environment, in the context of an active agricultural policy and spatial policy.

Noor Iterative Approximation for Solutions to Variational Inclusions with k-Subaccretive Type Mappings in Reflexive Banach Spaces

In this paper, we introduce and study a new class of nonlinear vari- ational inclusion problems with Lipschitz k-subaccretive type mappings in real reflexive Banach spaces. The existence and uniqueness of such solutions are proved and the convergence and stability of Noor iterative sequences with errors are also discussed. Furthermore, general conver- gence rate estimates are given in our results, which essentially improve and extend the corresponding results in Chang[1, 2], Ding[3], Gu[5, 6, 7], Hassouni andMoudafi[8], Kazmi[9], Noor[11, 12], Siddiqi and Ansari[13], Siddiqi, Ansari and Kazmi[14] and Zeng[16].

3rd ICTs and Society Meeting; Paper Session - Inequalities: social, economic and political; Paper 2: Media conver-gence and blogging in exposing corruption and fraud in India

The divide between the poor and the rich in India is getting wider and deeper day by day in the post globalization and privatization. It also sounds paradoxical to hear that the development whatever is happening in India is preceded by large scale corruption where the politicians and the bureaucrats in tandem and in perfect collusion are siphoning off billions of rupees meant for the rural development. But, none of these projects could escape the brunt of corruption in India. The paper deals with a few such stories of corruption as case studies that came to limelight and are placed in ‘convergent’ media either in the blogs of television channels or print media or on line web-portals such as face-book/twitter or on You Tube. The paper hypothesizes that the current level of exposure of corruption in 24x7 ‘convergent’ media is not adequate and would like to explore the ways and means of utilizing it (convergent media) more ‘socially effectively’ to totally curb/eliminate the corruption from the top to the lower level in the governance in India. This study therefore follows multiple methods of inquiry, besides the case studies, including surfing the existing web-portals/blogs for the mobilized public views on exposure of corruption through the ‘convergent’ media and conducting interviews with the convenience sample of media experts in the field as also analyzing the secondary documents (for case studies). The study is therefore a descriptive and qualitative communication research.

3rd ICTs and Society Meeting; Paper Session - Inequalities: social, economic and political; Paper 2: Media conver-gence and blogging in exposing corruption and fraud in India

The divide between the poor and the rich in India is getting wider and deeper day by day in the post globalization and privatization. It also sounds paradoxical to hear that the development whatever is happening in India is preceded by large scale corruption where the politicians and the bureaucrats in tandem and in perfect collusion are siphoning off billions of rupees meant for the rural development. But, none of these projects could escape the brunt of corruption in India. The paper deals with a few such stories of corruption as case studies that came to limelight and are placed in ‘convergent’ media either in the blogs of television channels or print media or on line web-portals such as face-book/twitter or on You Tube. The paper hypothesizes that the current level of exposure of corruption in 24x7 ‘convergent’ media is not adequate and would like to explore the ways and means of utilizing it (convergent media) more ‘socially effectively’ to totally curb/eliminate the corruption from the top to the lower level in the governance in India. This study therefore follows multiple methods of inquiry, besides the case studies, including surfing the existing web-portals/blogs for the mobilized public views on exposure of corruption through the ‘convergent’ media and conducting interviews with the convenience sample of media experts in the field as also analyzing the secondary documents (for case studies). The study is therefore a descriptive and qualitative communication research.

Quantics-TT Collocation Approximation of Parameter-Dependent and Stochastic Elliptic PDEs

We investigate the convergence rate of the quantics-TT (QTT) stochas- tic collocation tensor approximations to solutions of multiparametric elliptic PDEs and construct efficient iterative methods for solving arising high-dimensional parameter- dependent algebraic systems of equations. Such PDEs arise, for example, in the para- metric, deterministic reformulation of elliptic PDEs with random field inputs, based, for example, on the M-term truncated Karhunen-Loève expansion. We consider both the case of additive and log-additive dependence on the multivariate parameter. The local-global versions of the QTT-rank estimates for the system matrix in terms of the parameter space dimension is proven. Similar rank bounds are observed in numerics for the solutions of the discrete linear system. We propose QTT-truncated iteration based on the construction of solution-adaptive preconditioner that provides robust conver- gence in both additive and log-additive cases. Various numerical tests indicate that the numerical complexity scales almost linearly in the dimension of parametric space M.

OPTIMAL TRACKING AND REGULATION ACCURACY OF FEEDBACK CONTROL SYSTEMS

This paper deals with intrinsic performance limits achievable by feedback control. We give analytical expressions of the optimal tracking and regulation problems for linear shift- invariant single-input and multiple-output (SIMO) discrete-time systems. For the former, we modify the existing results by means of the delta operator and show that the continuous-time counter- part results can be properly recovered from this point. For the latter, we derive a discrete-time result first and show the conver- gence property.

Some simple theorems concerning crystal lattice sums of electric potential, electric field, and electric field gradient in crystals

The conditions under which direct lattice sums of electric potential, field, and field gradient converge are discussed. The analogous conditions under which differences in these lattice sums, for two points in the crystal, converge are also outlined. These conditions are applied to direct lattice sum calculations in crystals in which the ideal lattice is distorted close to a defect of some kind. The conver- gence conditions are then applied to the case of determining the direct lattice sums in crystals in which higher symmetry properties can be invoked, which leads to a knowledge by inspection of the lattice sum at one point in the unit cell.