Modified equations in the theory of induced gravity. Solution to the cosmological constant problem

This research is an extension of the author's article \cite{zar}, in which conformally invariant generalization of string theory was suggested to higher-dimensional objects. Special cases of the proposed theory are Einstein's theory of gravity and string theory. This work is devoted to the formation of self-consistent equations of the theory of induced gravity \cite{zar}, \cite{zari} in the presence of matter in the form of a perfect fluid that interacts with scalar fields. The study is done to solve these equations for the case of the cosmological model. In this model time-evolving gravitational and cosmological "constants" take place which are determined by the square of scalar fields. The values of which can be matched with the observational data. The equations that describe the theory have solutions that can both match with the solutions of the standard theory of gravity as well as it can differ from it. This is due to the fact that the fundamental "constants" of the theory, such as gravitational and cosmological, can evolve over time and also depend of the coordinates. Thus, in a rather general case the theory describes the two systems (stages): Einstein and "evolving" or "restructuring" (the name suggested by the author). This process is similar to the phenomenon of phase transition, where the different phases (Einstein gravity system, but with different constants) transit into each other.Comment: 21 pages, 13 Postscript figure

Mimesis and intertextuality in twelfth-century Byzantine literature: the case of Theodore Prodromos

This thesis examines mimesis and intertextuality in twelfth-century Byzantium through the close study of the writings of Theodore Prodromos. Chapter One focuses on Prodromos' sequel to Lucian’s satire Philosophies for Sale. Analysing Prodromos’ appropriation of ancient literary personae (from Homer to Euripides to Hippocrates), I argue that Prodromos highlights the positive impact of classical literature on his occassional writings. Chapter Two investigates Prodromos’ philosophical writings. As well as investigating Prodromos’ criticism of ancient philosophical authorities, I draw attention to literary strategies that Prodromos deploys to showcase his excellence as a teacher of philosophy. Chapter Three studies Prodromos in his capacity of a panegyrist. I discuss the rise of military ideology in the Comnenian period and argue that Prodromos achieved his success as a court poet through reviving the Homeric hexameter. Chapter Four investigates Prodromos’ subversion of the Comnenian political system. I identify three major strategies of subversion (endorsement of disgraced aristocrats, allegory and classical imitation) and single out the recurrent themes of Prodromos' criticism. Chapter Five discusses how Prodromos reconciled his classical aspirations with his Christian faith. I focus on the poorly studied collection of epigrams on the Old and New Testament, and demonstrate how Prodromos rewrites Scripture according to the conventions of classical literature. Chapter Six showcases originality of the epigrams’ poetics by highlighting carnivalesque elements, which were earlier identified in other writings by Prodromos. Having evaluated my evidence, I come to the conclusion that mimesis and intertextuality were essential for achieving success in classroom, court circles and literary salons

Bilingualism, pluralinguism expansion and sociolinguistic analysis in Uzbekistan during the years of independence

The bilingualism phenomenon has long existed among people living in the territory of Uzbekistan, including Uzbeks, who are able to speak other languages in addition to their native language. Consequently linguistic and extralinguistic influences between the Arabic and Uzbek languages in Central Asia, in VII and VIII centuries it was formed the bilingualism phenomenon in the country. In the XIV-XV centuries, the Persian-Tajik language use in Central Asia expanded and its potential increased. By the XX century, unification of Central Asia to Russian Union, the Russian language influence on the Uzbek language increased. Uzbek-Russian bilingualism formed in Central Asia in parallel with the Uzbek-Arabic and Uzbek-Tajik bilingualism. By this, not only bilingualism, but also pluralinguism had grown significantly among the Uzbek people. Along with linguistic factors, extralinguistic factors also played an important role in Uzbek-Arabic, Uzbek-Tajik and Uzbek-Russian languages development. Within the independence years, the Uzbek language prestige has grown, its scope has expanded. However, some features aforecited languages are preserved in the Uzbek language structure, and these languages units are used in the lexical layer. Our people desire to learn languages is growing, other developed world languages are being studied, and the situation with multilingualism is growing. Similar aspects will be covered throughout the study

"Our Religious Mentor": Musa Bigeev and the Tatars in Finland

The influence of progressive Muslim theologian Musa Jarullah Bigeev (1875–1949) on the Tatar community in Finland during the first half of the twentieth century is the focus of this article. Bigeev was very popular among the Tatar bourgeoisie in Russia and the diaspora abroad. Already at an early stage of his career he became widely known as the “Muslim Luther”. We briefly describe the scientific biography of this theologian, his relations with the Tatars in Finland and personal memories from visiting the country. The main part of the study presents an analysis of the perception of his ideas by a few important community leaders in Finland, Weli-Ahmed Hakim, Zinnetullah Ahsen Böre and Habibur-Rahman Shakir, as reflected in their correspondence and publications.This article also provides examples of Bigeev’s recommendations to the community on various issues of their ethno-confessional life, transmitted through letters to its leaders. The recommendations include a range of aspects from the establishment of an organization and development of the community’s education system to questions of religious practice and personal spiritual growth. His ideas contributed to the adaptation of the Tatars to Finnish society and simultaneously to the preservation of Tatar culture, language and identity

Technology of preparation of composition from spinach pumpkin

In this article the dependence of extraction of dry substances of Spanish pumpkin on the duration and temperature of the process is given. The resulted results of experiments allow to study influence of concentration of citric acid on extraction of dry substances of a pumpkin

Second Order Stochastic Partial Integro Differential Equations with Delay and Impulses

© Published under licence by IOP Publishing Ltd. The aerosol movement at an open end of a pipe at the resonant frequency was experimentally studied. The aerosol flow in an external wave field was visualized. The numerical value of the Rayleigh correction for an open end of an experimental plant was obtained. A good agreement between the numerical and experimental values was demonstrated

Modeling of fluid flow in periodic cell with porous cylinder using a boundary element method

The problem of viscous incompressible flow past a periodic array of porous cylinders (a model of flow in an aerosol filter) is solved. The approximate periodic cell model of Kuwabara is used to formulate the fluid flow problem. The Stokes flow model is then adopted to model the flow outside the cylinder and the Darcy law of drag is applied to find the filtration velocity field inside the porous cylinder. The boundary value problems for biharmonic and Laplace equations for stream functions outside and inside the porous cylinder are solved using a boundary elements method. A good agreement of numerical and analytical models is shown. The analytical formulas for the integrals in the expressions for the stream function, vorticity and Cartesian velocity components are obtained. It is shown that use of analytical integration gives considerable advantage in computing time