2,561 research outputs found
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
in a -dimensional superspace . We show that traces of exterior
powers of satisfy universal recurrence relations of period .
`Underlying' recurrence relations hold in the Grothendieck ring of
representations of \GL(V). They are expressed by vanishing of certain Hankel
determinants of order 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 . The key ingredients are the
triangular decomposition of 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 -modules in the category .Comment: Definition 1.5 and Definition 6.1 are changed, and a remark is added
in the new versio
Π¦ΠΈΡΡΠΎΠ²ΡΠ΅ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΠΈ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ Π±ΡΠ΄ΠΆΠ΅ΡΠ½ΡΡ ΡΠ°ΡΡ ΠΎΠ΄ΠΎΠ² ΡΡΡΠ°Π½Ρ
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 countryβs 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 β the theory of finance and the theory of computer science. The authorβs 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 countryβs 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.ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ² ΠΏΠ»Π°Π½ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΈ ΡΡΠ΅ΡΠ° Π±ΡΠ΄ΠΆΠ΅ΡΠ½ΡΡ
ΡΠ°ΡΡ
ΠΎΠ΄ΠΎΠ² Π² ΡΡΠ»ΠΎΠ²ΠΈΡΡ
ΡΠΈΡΡΠΎΠ²ΠΈΠ·Π°ΡΠΈΠΈ ΠΈ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ² ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ ΠΈ ΠΊΠΎΠ΄ΠΈΡΠΎΠ²Π°Π½ΠΈΡ Π·Π°ΡΡΠ°Ρ ΡΠ²Π»ΡΠ΅ΡΡΡ Π²Π°ΠΆΠ½ΠΎΠΉ ΠΈ Π°ΠΊΡΡΠ°Π»ΡΠ½ΠΎΠΉ Π·Π°Π΄Π°ΡΠ΅ΠΉ ΡΠΎΠ²Π΅ΡΡΠ΅Π½ΡΡΠ²ΠΎΠ²Π°Π½ΠΈΡ Π³ΠΎΡΡΠ΄Π°ΡΡΡΠ²Π΅Π½Π½ΠΎΠ³ΠΎ ΡΠΈΠ½Π°Π½ΡΠΎΠ²ΠΎΠ³ΠΎ ΠΌΠ΅Π½Π΅Π΄ΠΆΠΌΠ΅Π½ΡΠ°. Π¦Π΅Π»ΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΎΠ±ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΠΉ ΡΠ°Π·Π²ΠΈΡΠΈΡ Π±ΡΠ΄ΠΆΠ΅ΡΠ½ΠΎΠΉ ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ ΡΠ°ΡΡ
ΠΎΠ΄ΠΎΠ² Π½Π° ΡΠΈΡΡΠΎΠ²ΡΡ
ΠΏΠ»Π°ΡΡΠΎΡΠΌΠ°Ρ
. ΠΡΠ΅Π΄ΠΌΠ΅Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ β ΡΠΈΡΡΠ΅ΠΌΠ° ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ Π±ΡΠ΄ΠΆΠ΅ΡΠ½ΡΡ
ΡΠ°ΡΡ
ΠΎΠ΄ΠΎΠ². ΠΠ΅ΡΠΎΠ΄Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ Π²ΠΊΠ»ΡΡΠΈΠ»ΠΈ: Π°Π½Π°Π»ΠΈΠ· ΠΈ ΡΠΈΠ½ΡΠ΅Π·; ΡΠ΅Π³ΡΠ΅ΡΡΠΈΠΎΠ½Π½ΡΠΉ Π°Π½Π°Π»ΠΈΠ·; ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅; Π½Π°ΡΡΠ½ΡΡ Π°Π±ΡΡΡΠ°ΠΊΡΠΈΡ; Π»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΌΠ΅ΡΠΎΠ΄. ΠΠΎΠ²ΠΈΠ·Π½Π° Π·Π°ΠΊΠ»ΡΡΠ°Π΅ΡΡΡ Π² ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Π½ΠΎΠΌ Π»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΌ ΠΎΠ±ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΈΠΈ ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΠΉ ΡΠ΅ΠΎΡΠΈΠΈ ΡΠΈΠ½Π°Π½ΡΠΎΠ²ΠΎΠΉ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΊΠΈ ΠΊΠ°ΠΊ ΡΠΈΠ½ΡΠ΅Π·Π° Π΄Π²ΡΡ
Π½Π°ΡΡΠ½ΡΡ
Π΄ΠΈΡΡΠΈΠΏΠ»ΠΈΠ½ β ΡΠ΅ΠΎΡΠΈΠΈ ΡΠΈΠ½Π°Π½ΡΠΎΠ² ΠΈ ΡΠ΅ΠΎΡΠΈΠΈ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΊΠΈ. ΠΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½ Π°Π²ΡΠΎΡΡΠΊΠΈΠΉ Π²Π·Π³Π»ΡΠ΄ Π½Π° ΡΠΈΡΡΠΎΠ²ΠΎΠΉ ΠΊΠΎΠ½ΡΠ΅Π½Ρ ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ Π±ΡΠ΄ΠΆΠ΅ΡΠ½ΡΡ
ΡΠ°ΡΡ
ΠΎΠ΄ΠΎΠ², ΠΊΠΎΡΠΎΡΡΠΉ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»ΡΠ΅Ρ ΠΌΠ½ΠΎΠ³ΠΎΡΠ°Π·ΠΌΠ΅ΡΠ½ΡΡ ΠΈΠ΅ΡΠ°ΡΡ
ΠΈΡΠ΅ΡΠΊΡΡ ΡΠΈΡΡΠ΅ΠΌΡ ΠΏΠΎΡΡΡΠΎΠ΅Π½ΠΈΡ Π³ΡΠ°ΡΠ° Π±ΡΠ΄ΠΆΠ΅ΡΠ½ΡΡ
ΡΠ°ΡΡ
ΠΎΠ΄ΠΎΠ². Π Π°Π·ΡΠ°Π±ΠΎΡΠ°Π½Ρ ΡΠ΅Π³ΡΠ΅ΡΡΠΈΠΎΠ½Π½ΡΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈ Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΡΠ΅ΡΡΡΡΠΎΠ΅ΠΌΠΊΠΎΡΡΠΈ ΡΡΠ»ΠΎΠ²Π½ΠΎΠ³ΠΎ ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ Π±ΡΠ΄ΠΆΠ΅ΡΠ½ΠΎΠ³ΠΎ ΠΊΠΎΠ΄Π° ΡΠ°ΡΡ
ΠΎΠ΄ΠΎΠ² ΠΎΡ ΠΊΠ°ΡΠ΅ΡΡΠ²Π° ΡΠΈΠ½Π°Π½ΡΠΎΠ²ΠΎΠ³ΠΎ ΠΌΠ΅Π½Π΅Π΄ΠΆΠΌΠ΅Π½ΡΠ° Π³Π»Π°Π²Π½ΡΡ
ΡΠ°ΡΠΏΠΎΡΡΠ΄ΠΈΡΠ΅Π»Π΅ΠΉ Π±ΡΠ΄ΠΆΠ΅ΡΠ½ΡΡ
ΡΡΠ΅Π΄ΡΡΠ². ΠΡΠ²ΠΎΠ΄Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎΠ΄ΡΠ²Π΅ΡΠ΄ΠΈΠ»ΠΈ Π³ΠΈΠΏΠΎΡΠ΅Π·Ρ, ΠΊΠΎΡΠΎΡΠ°Ρ Π·Π°ΠΊΠ»ΡΡΠ°Π΅ΡΡΡ Π² ΡΠΎΠΌ, ΡΡΠΎ ΡΠ΅ΠΌ Π΄Π΅ΡΠ°Π»ΡΠ½Π΅Π΅ Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΡΠΎΠ²Π°ΡΡ (ΠΊΠ»Π°ΡΡΠΈΡΠΈΡΠΈΡΠΎΠ²Π°ΡΡ) Π±ΡΠ΄ΠΆΠ΅ΡΠ½ΡΠ΅ ΡΠ°ΡΡ
ΠΎΠ΄Ρ, ΡΠ΅ΠΌ Π±ΠΎΠ»ΡΡΠ΅ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΠ΅ΠΉ Π³ΡΠ°ΠΌΠΎΡΠ½ΠΎΠΉ ΠΎΡΠ³Π°Π½ΠΈΠ·Π°ΡΠΈΠΈ ΠΈ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ ΠΏΡΠΎΡΠ΅ΡΡΠ°ΠΌΠΈ ΠΈΡ
ΡΠΈΠ½Π°Π½ΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ, ΡΠ΅ΠΌΡ ΡΠΏΠΎΡΠΎΠ±ΡΡΠ²ΡΠ΅Ρ ΡΠ°Π·Π²ΠΈΡΠΈΠ΅ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΎΠ½Π½ΠΎ ΠΊΠΎΠΌΠΌΡΠ½ΠΈΠΊΠ°ΡΠΈΠΎΠ½Π½ΡΡ
ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΠΉ. Π Π΅ΠΊΠΎΠΌΠ΅Π½Π΄Π°ΡΠΈΠΈ ΡΠ²ΠΎΠ΄ΡΡΡΡ ΠΊ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΠΎΡΡΠΈ Π΄Π°Π»ΡΠ½Π΅ΠΉΡΠ΅Π³ΠΎ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ Π½Π°ΡΡΠ½ΠΎ-ΠΏΡΠΈΠΊΠ»Π°Π΄Π½ΡΡ
ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΠΉ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΠΈ ΠΎΡΠ³Π°Π½ΠΈΠ·Π°ΡΠΈΠΈ ΡΡΠ½ΠΊΡΠΈΠΎΠ½ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠΈΡΡΠΎΠ²ΡΡ
ΠΏΠ»Π°ΡΡΠΎΡΠΌ Π² ΡΠΈΡΡΠ΅ΠΌΠ΅ Π³ΠΎΡΡΠ΄Π°ΡΡΡΠ²Π΅Π½Π½ΠΎΠ³ΠΎ ΡΠΈΠ½Π°Π½ΡΠΎΠ²ΠΎΠ³ΠΎ ΠΌΠ΅Π½Π΅Π΄ΠΆΠΌΠ΅Π½ΡΠ° Π΄Π»Ρ ΠΏΠΎΠ²ΡΡΠ΅Π½ΠΈΡ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΡ Π±ΡΠ΄ΠΆΠ΅ΡΠ½ΡΡ
ΡΠ΅ΡΡΡΡΠΎΠ² ΡΡΡΠ°Π½Ρ. Π’ΡΠ΅Π±ΡΠ΅ΡΡΡ Π΄Π°Π»ΡΠ½Π΅ΠΉΡΠ°Ρ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΠ° Π½Π°ΡΡΠ½ΠΎ-ΠΏΡΠΈΠΊΠ»Π°Π΄Π½ΡΡ
ΠΌΠ΅ΡΠΎΠ΄ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΠΉ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΡΠ»Π΅ΠΊΡΡΠΎΠ½Π½ΠΎΠ³ΠΎ Π±ΡΠ΄ΠΆΠ΅ΡΠ° Ρ ΡΠ΅Π»ΡΡ ΠΏΡΠ΅Π²ΡΠ°ΡΠ΅Π½ΠΈΡ Π΅Π³ΠΎ Π² ΡΠΎΡΠΌΡ ΡΠΈΡΡΠΎΠ²ΠΎΠ³ΠΎ Π±ΡΠ΄ΠΆΠ΅ΡΠ° ΡΡΡΠ°Π½Ρ
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
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
W/cm 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
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