Ground states of Heisenberg evolution operator in discrete three-dimensional space-time and quantum discrete BKP equations

In this paper we consider three-dimensional quantum q-oscillator field theory without spectral parameters. We construct an essentially big set of eigenstates of evolution with unity eigenvalue of discrete time evolution operator. All these eigenstates belong to a subspace of total Hilbert space where an action of evolution operator can be identified with quantized discrete BKP equations (synonym Miwa equations). The key ingredients of our construction are specific eigenstates of a single three-dimensional R-matrix. These eigenstates are boundary states for hidden three-dimensional structures of U_q(B_n^1) and U_q(D_n^1)$.Comment: 13 page

Quantum 2+1 evolution model

A quantum evolution model in 2+1 discrete space - time, connected with 3D fundamental map R, is investigated. Map R is derived as a map providing a zero curvature of a two dimensional lattice system called "the current system". In a special case of the local Weyl algebra for dynamical variables the map appears to be canonical one and it corresponds to known operator-valued R-matrix. The current system is a kind of the linear problem for 2+1 evolution model. A generating function for the integrals of motion for the evolution is derived with a help of the current system. The subject of the paper is rather new, and so the perspectives of further investigations are widely discussed.Comment: LaTeX, 37page

Effects of synbiotic supplement on human gut microbiota, body composition and weight loss in obesity

Targeting gut microbiota with synbiotics (probiotic supplements containing prebiotic components) is emerging as a promising intervention in the comprehensive nutritional approach to reducing obesity. Weight loss resulting from low-carbohydrate high-protein diets can be significant but has also been linked to potentially negative health effects due to increased bacterial fermentation of undigested protein within the colon and subsequent changes in gut microbiota composition. Correcting obesity-induced disruption of gut microbiota with synbiotics can be more effective than supplementation with probiotics alone because prebiotic components of synbiotics support the growth and survival of positive bacteria therein. The purpose of this placebo-controlled intervention clinical trial was to evaluate the effects of a synbiotic supplement on the composition, richness and diversity of gut microbiota and associations of microbial species with body composition parameters and biomarkers of obesity in human subjects participating in a weight loss program. The probiotic component of the synbiotic used in the study contained Lactobacillus acidophilus, Bifidobacterium lactis, Bifidobacterium longum, and Bifidobacterium bifidum and the prebiotic component was a galactooligosaccharide mixture. The results showed no statistically significant differences in body composition (body mass, BMI, body fat mass, body fat percentage, body lean mass, and bone mineral content) between the placebo and synbiotic groups at the end of the clinical trial (3-month intervention, 20 human subjects participating in weight loss intervention based on a low-carbohydrate, high-protein, reduced energy diet). Synbiotic supplementation increased the abundance of gut bacteria associated with positive health effects, especially Bifidobacterium and Lactobacillus, and it also appeared to increase the gut microbiota richness. A decreasing trend in the gut microbiota diversity in the placebo and synbiotic groups was observed at the end of trial, which may imply the effect of the high-protein low-carbohydrate diet used in the weight loss program. Regression analysis performed to correlate abundance of species following supplementation with body composition parameters and biomarkers of obesity found an association between a decrease over time in blood glucose and an increase in Lactobacillus abundance, particularly in the synbiotic group. However, the decrease over time in body mass, BMI, waist circumstance, and body fat mass was associated with a decrease in Bifidobacterium abundance. The results obtained support the conclusion that synbiotic supplement used in this clinical trial modulates human gut microbiota by increasing abundance of potentially beneficial microbial species

Berezinians, Exterior Powers and Recurrent Sequences

We study power expansions of the characteristic function of a linear operator $A$ in a $p|q$-dimensional superspace $V$. We show that traces of exterior powers of $A$ satisfy universal recurrence relations of period $q$. `Underlying' recurrence relations hold in the Grothendieck ring of representations of \GL(V). They are expressed by vanishing of certain Hankel determinants of order $q+1$ in this ring, which generalizes the vanishing of sufficiently high exterior powers of an ordinary vector space. In particular, this allows to explicitly express the Berezinian of an operator as a rational function of traces. We analyze the Cayley--Hamilton identity in a superspace. Using the geometric meaning of the Berezinian we also give a simple formulation of the analog of Cramer's rule.Comment: 35 pages. LaTeX 2e. New version: paper substantially reworked and expanded, new results include

Highest weight modules over quantum queer Lie superalgebra U_q(q(n))

In this paper, we investigate the structure of highest weight modules over the quantum queer superalgebra $U_q(q(n))$. The key ingredients are the triangular decomposition of $U_q(q(n))$ and the classification of finite dimensional irreducible modules over quantum Clifford superalgebras. The main results we prove are the classical limit theorem and the complete reducibility theorem for $U_q(q(n))$-modules in the category $O_q^{\geq 0}$.Comment: Definition 1.5 and Definition 6.1 are changed, and a remark is added in the new versio

The backbone of democracy. The metainstitutional basis of modern society

The article deals with the "minimal configuration" of social institutions that ensure sustainable development not by adapting to the environment (the adaptive behaviour characteristic of traditional societies), but through uninterrupted generation and implementation of innovations that transform environment to meet the changing needs of humankind. This type of active adaptive behaviour characteristic of modern society could not be maintained in the absence of three basic "metainstitutions" of modernity, viz. 1) science, 2) the banking and exchange system, 3) institutions of representative democracy (parliaments), plus three "support institutions": 4) free press (mass media), 5) rational bureaucracy, 6) independent judiciaryyesBelgorod State National Research Universit

Цифровые возможности развития классификации бюджетных расходов страны

The study of the processes of planning and accounting of budget expenditures in the context of digitalization and the development of the processes of classification and coding of costs is an important urgent task of improving public financial management. The purpose of the study is to generalize the classification of the country’s budget expenditures to justify the need for changes in the order of planning and cost accounting on digital platforms. The research methods included: analysis and synthesis; regression analysis; modeling; scientific abstraction; logical method. The novelty lies in the proposed logical justification of the provisions of the theory of financial informatics as a synthesis of two scientific disciplines — the theory of finance and the theory of computer science. The author’s view on the digital content of the classification of budget expenditures is proposed, which represents a multi-dimensional hierarchical system for constructing a graph of budget expenditures. Regression models of the dependence of the resource intensity of the conditional classification budget code of expenditures on the quality of financial management of the GRBS have been developed. The conclusions of the study confirmed the hypothesis that the more detailed the differentiation (classification) of budget expenditures, the more opportunities there are for competent organization and management of their financing processes, which is facilitated by the development of ICT. The recommendations are reduced to the need for further research of the scientific and applied provisions of the development and organization of the functioning of digital platforms in the system of public financial management to improve the efficiency of the use of the country’s budget resources. Further development of scientific and applied methodological provisions for the development of the electronic budget is required in order to turn it into a form of the digital budget of the country.Исследование процессов планирования и учета бюджетных расходов в условиях цифровизации и развития процессов классификации и кодирования затрат является важной и актуальной задачей совершенствования государственного финансового менеджмента. Целью исследования является обоснование положений развития бюджетной классификации расходов на цифровых платформах. Предмет исследования — система классификации бюджетных расходов. Методы исследования включили: анализ и синтез; регрессионный анализ; моделирование; научную абстракцию; логический метод. Новизна заключается в предложенном логическом обосновании положений теории финансовой информатики как синтеза двух научных дисциплин — теории финансов и теории информатики. Предложен авторский взгляд на цифровой контент классификации бюджетных расходов, который представляет многоразмерную иерархическую систему построения графа бюджетных расходов. Разработаны регрессионные модели зависимости ресурсоемкости условного классификационного бюджетного кода расходов от качества финансового менеджмента главных распорядителей бюджетных средств. Выводы исследования подтвердили гипотезу, которая заключается в том, что чем детальнее дифференцировать (классифицировать) бюджетные расходы, тем больше возможностей грамотной организации и управления процессами их финансирования, чему способствует развитие информационно коммуникационных технологий. Рекомендации сводятся к необходимости дальнейшего исследования научно-прикладных положений развития и организации функционирования цифровых платформ в системе государственного финансового менеджмента для повышения эффективности использования бюджетных ресурсов страны. Требуется дальнейшая разработка научно-прикладных методических положений развития электронного бюджета с целью превращения его в форму цифрового бюджета страны

Multi-Cascade Proton Acceleration by Superintense Laser Pulse in the Regime of Relativistically Induced Slab Transparency

A regime of multi-cascade proton acceleration in the interaction of $10^{21}-10^{22}$ W/cm$^2$ laser pulse with a structured target is proposed. The regime is based on the electron charge displacement under the action of laser ponderomotive force and on the effect of relativistically induced slab transparency which allows to realize idea of multi-cascade acceleration. It is shown that a target comprising several properly spaced apart thin foils can optimize the acceleration process and give at the output quasi-monoenergetic beams of protons with energies up to hundreds of MeV with energy spread of just few percent.Comment: 5 pages with 4 figure