Inverse spectral problem for a third-order differential operator

Inverse spectral problem for a self-adjoint differential operator, which is the sum of the operator of the third derivative on a finite interval and of the operator of multiplication by a real function (potential), is solved. Closed system of integral linear equations is obtained. Via solution to this system, the potential is calculated. It is shown that the main parameters of the obtained system of equations are expressed via spectral data of the initial operator. It is established that the potential is unambiguously defined by the four spectra

A computational system for lattice QCD with overlap Dirac quarks

We outline the essential features of a Linux PC cluster which is now being developed at National Taiwan University, and discuss how to optimize its hardware and software for lattice QCD with overlap Dirac quarks. At present, the cluster constitutes of 30 nodes, with each node consisting of one Pentium 4 processor (1.6/2.0 GHz), one Gbyte of PC800 RDRAM, one 40/80 Gbyte hard disk, and a network card. The speed of this system is estimated to be 30 Gflops, and its price/performance ratio is better than $1.0/Mflops for 64-bit (double precision) computations in quenched lattice QCD with overlap Dirac quarks.Comment: 3 pages, Lattice 2002(machine

Interpretation of Sophia the Wisdom of God in Russian Philosophical Sophiology

The article opens a number of studies devoted to the theme of Sophia the Wisdom of God in the history of Russian Christian fine art and sacred architecture. The Cathedral of Veliky Novgorod, built in the 11th century, is one of the oldest religious buildings dedicated to St. Sophia. The question about the name of the Novgorod cathedral a few centuries after its construction caused a theological discussion, and in the 19th and 20th centuries brought to life religious and philosophical Russian trend – the tradition of Sophiology. The icon of Sophia the Wisdom, which occupies a completely unique place in the history of Russian iconography, has not yet received a generally accepted interpretation. Various philosophical theories aimed at explaining the content of this icon, as well as at reconstructing the meaning of the very name of Sophia the Wisdom, are explored in this article. For Vladimir Solovyov, Sophia is the personification of the unity of cosmos, a character in his mystical poetry and a mythological “Soul of the World” within the framework of his philosophy of unity. The priest Pavel Florensky describes Sophia as the divine nature of all living beings, the “ideal personality of the world”, often merging with the Mother of God in minds of people. Sergei Bulgakov connects Sophia with the divine essence of the Trinity, and with the highest principle of the world order, and with the angel. All these philosophers try to arbitrarily interpret the plot of the icon of St. Sophia and the name of Russian churches in honor of St. Sophia to substantiate their religious and philosophical concepts, which are far from Christian orthodoxy.Статья открывает серию исследований, посвящённых теме Софии – Премудрости Божией в истории русского христианского изобразительного искусства и сакральной архитектуры. Кафедральный собор Великого Новгорода, построенный в 11 веке, является одним из древнейших религиозных сооружений, посвящённых Святой Софии. Вопрос о наименовании новгородского собора через несколько веков после его постройки послужил причиной теологической дискуссии, а в 19–20 веках вызвал к жизни целое религиозно-философское направление, характерное именно для России, – традицию софиологии. Икона Софии-Премудрости, которая занимает совершенно уникальное место в истории русской иконографии, до сих пор не получила общепринятой интерпретации. Различные философские теории, направленные на объяснение содержания этой иконы, а также на реконструкцию смысла самого имени Софии-Премудрости, исследованы в этой статье. Для Владимира Соловьёва София есть олицетворение единства космоса, персонаж его мистической поэзии и мифологическая «Душа мира» в рамках его философии всеединства. У священника Павла Флоренского София описана как божественная природа всех живых существ, «идеальная личность мира», в сознании народа зачастую сливающаяся с Богородицей. Сергий Булгаков связывает Софию то с божественной сущностью Троицы, то с высшим принципом мирового порядка, то с отдельным ангелом. Все названные философы пытаются произвольно интерпретировать сюжет иконы Святой Софии и наименование русских храмов в честь Святой Софии для аргументации своих религиозно-философских концепций, далёких от христианской ортодоксии

Inverse scattering problem for a third-order operator with local potential

Inverse scattering problem for the operator representing sum of the operator of the third derivative on semi-axis and of the operator of multiplication by a real function is studied in this paper. Properties of Jost solutions of such an operator are studied and it is shown that these Jost solutions are solutions of the Riemann boundary value problem on a system of rays. The main system of linear singular integral equations is derived. This system is equivalent to the solution of inverse scattering problem

Precedent phenomena: the role of cultural reference in Dostoevsky's novel Demons

Title from PDF of title page (University of Missouri--Columbia, viewed on September 12, 2013).The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file.Thesis advisor: Dr. Timothy LangenIncludes bibliographical references.M.A. University of Missouri--Columbia 2013.Dissertations, Academic -- University of Missouri--Columbia -- Russian and Slavonic studies."May 2013"The thesis addresses the questions of precedent phenomena (culturally specific language units) functioning in a literary text. Analyzing Dostoevsky's novel Demons, the research demonstrates precedent phenomena as a tool that may serve multiple purposes in a literary work. This idea is defined in terms of direct and palimpsest functions. Precedent phenomena used in direct functions reflect people's needs to describe present situations, influence their interlocutors, highlight their belonging to a certain group or make their speech more elaborate. Simultaneously, fulfilling one of these direct functions, precedent phenomena may serve for other purposes at the level of author-reader communication. Whenever a character uses a precedent phenomenon to animate the conversation the author defines him as a member of a certain group or makes fun of him

1 Optimum Decoding Performance on the Basis of Multithreshold Algorithms

Abstract: The iterative majority improved decoders are described. They are called multithreshold decoders (MTD). These decoders have a property of convergence to the solution of the optimum decoder with keeping linear complexity of implementation, which one is a property of usual threshold procedures. Different decoding applications are discussed. Experimental results are submitted. Decoder for non-binary MTD considered also