Волновая модель распространения и изменения лингвистической информации в индоевропейском модельном языковом сообществе

Paper considers the wave mathematical model describing the distribution and change of linguistic information in Indo-European model linguistic community. Brief information about the Anatolian and Kurgan hypothesis of formation of Proto-Indo-Europeans (PIE) is given. The mathematical model of wave propagation and changing of information is described by system of integral-differential equations. Results of the preliminary theoretical analysis and computer modeling are given. In particular, an estimate of the maximum possible time (24000 years) of development/emergence of considered Indo-European “family” is obtained in the framework of this model. Results of computer modeling show, that from two main hypotheses of formation of the PIE - Anatolian and Kurgan, the latter better matches obtained by us temporary estimates. Finally, data on a hypothetical PIE alphabet - namely, the number of possible “characters/symbols” (or “letters”) alphabet of PIE on the basis of our data were obtained. Based on the results, it was found that the range of possible values for alphabetic characters is limited to about values: 3 32. In addition, there is a good correlation of our data with the findings of geneticists on a possible time of occurrence (14000-20000 years ago) of the haplogroup Y-DNA R1a (it is believed that PIE language speakers were primarily men with this haplogroup).В работе рассмотрена волновая математическая модель, описывающая распространение и изменение лингвистической информации в индоевропейском модельном языковом сообществе. Дана краткая информация об анатолийской и курганной гипотезах формирования праиндоевропейцев. Математическая модель процесса волнового распространения и изменения информации описывается системой интегро-дифференциальных уравнений. Даны результаты предварительного теоретического анализа и компьютерного моделирования. В частности, получена оценка максимально возможного времени ( 24000 лет) развития/возникновения рассматриваемой индоевропейской языковой «семьи» в рамках данной модели. Результаты компьютерного моделирования показывают, что из двух основных гипотез формирования праиндоевропейцев - анатолийской и курганной - последняя лучше соответствует полученным нами временным оценкам. В заключение получены данные о гипотетическом праиндоевропейском алфавите, а именно - о числе возможных «символов/знаков» (или «букв») алфавита праиндоевропейцев на основании полученных нами данных. Исходя из полученных результатов установлено, что диапазон возможных значений для символов алфавита ограничен примерно значениями: 3 32. Кроме того, есть хорошая корреляция наших данных с выводами генетиков о возможном времени появления (примерно 14000-20000 лет назад) гаплогруппы Y-DNA R1a (считается, что носителями праиндоевропейских языков были в первую очередь мужчины с данной гаплогруппой)

Динамическая нелинейная модель распространения и изменения лингвистической информации в индоевропейском модельном языковом сообществе

The paper considers the nonlinear dynamic mathematical model describing the distribution and variation of linguistic information in the Indo-European linguistic community. When constructing a mathematical model of linguistic information propagation and changes in the linguistic community as a priori information data from independent studies both linguistics and other scientific fields, such as history, archeology and genetics were used. Within the framework of this model the spread of linguistic information in a model Indo-European language community, including at the initial stage of its formation was numerically studied. The preliminary results of theoretical analysis and computer simulation are given. It was found that the mathematical model of the distribution and modification of linguistic information shows both regular and typical chaotic behavior. As one of quantitative characteristics of considered nonlinear process of distribution of the linguistic information it is offered to consider number of arising cycles as number of the arisen modern languages, in the given language community. Results of computer modeling show, that from two main hypotheses of formation of the Proto-Indo-Europeans - Anatolian and Kurgan, the latter better matches temporary estimates obtained by us.В работе рассмотрена нелинейная динамическая математическая модель, описывающая распространение и изменение лингвистической информации в индоевропейском языковом сообществе. При построении математической модели распространения и изменения лингвистической информации в языковом сообществе в качестве априорной информации использовали данные независимых исследований, как из лингвистики, так и из других научных областей, например, из истории, генетики и археологии. В рамках этой модели было проведено численное исследование распространения лингвистической информации в некотором модельном индоевропейском языковом сообществе, в том числе на начальном этапе его формирования. Даны результаты предварительного теоретического анализа и компьютерного моделирования. Установлено, что данная математическая модель процесса распространения и изменения лингвистической информации демонстрирует как регулярное, так и типично хаотическое поведение. В качестве одной из количественных характеристик рассматриваемого нелинейного процесса распространения лингвистической информации предложено рассматривать число возникающих циклов в качестве числа возникших новых языков в данном языковом сообществе. Результаты компьютерного моделирования показывают, что из двух основных гипотез формирования праиндоевропейцев - Анатолийской и Курганной - последняя лучше соответствует полученным нами временным оценкам

Efficiency of different particle sizes of dried Salvinia natans in the removing of Cu(II) and oil pollutions from water

Aquatic plants can be useful in removing various contaminants from contaminated waters, since they can sorb large amounts of heavy metals and oil spill. To investigate the effects of different particle sizes of biosorbent on the metal biosorption and oil spill capacities, dried biomass of Salvinia natans selected as aquatic plant which found a lot in astrakhan city. From the results we concluded that, the metal biosorption capacity increased with decreasing of particle size, while in the case oil spill, capacities of removing of spill increase with increasing particle sizes

Characteristic calculation of directional coupler for accelerator high-power feeders

The calculation results of directional couplers with connection via the waveguide common narrow wall with a coupling factor of 3.0 decibels, directivity no less than 20 decibels, adjustment of coupling factor at 1 decibels are presented. The adjustment is carried out with the help of cylindrical plungers, moving inside of waveguides on the part of broad walls in the location of the connection slot, and prismatic plungers, moving in rectangular waveguides connected to narrow walls opposite to a slot of connection. The device as a magic tee with movable throttle pistons in Е- and Н-plane arms permitting to match any load is designed too. The calculations are executed for devices operating at frequencies of 2.797 and 1.3 GHz

Elliptic operators on manifolds with singularities and K-homology

It is well known that elliptic operators on a smooth compact manifold are classified by K-homology. We prove that a similar classification is also valid for manifolds with simplest singularities: isolated conical points and fibered boundary. The main ingredients of the proof of these results are: an analog of the Atiyah-Singer difference construction in the noncommutative case and an analog of Poincare isomorphism in K-theory for our singular manifolds. As applications we give a formula in topological terms for the obstruction to Fredholm problems on manifolds with singularities and a formula for K-groups of algebras of pseudodifferential operators.Comment: revised version; 25 pages; section with applications expande

LOW-CYCLE FATIGUE OF THIN WALLED PIPES MANUFACTURED WITH ROTATIONAL ROLLING-OFF

The main results of experimental studies on the effect of deformation degree during rotational rolling-off with thinning of the wall of a single-seamed cylindrical shell on the maximum number of loading cycles before the failure of a welded joint are presented in the paper

STATIC AND DYNAMIC STRENGTH OF RING WELDING JOINTS OF PIPELINE ELEMENTS MADE OF CORROSION-RESISTANT STEELS OF DIFFERENT BRANDS

The main stages of obtaining annular welded joints of pipeline elements from various corrosion resistant stainless steels are considered. The characteristics of the static and dynamic strength of annular seams of pipeline assemblies with experimental cylindrical specimens under loading by internal pressure are determined

Field-linked States of Ultracold Polar Molecules

We explore the character of a novel set of ``field-linked'' states that were predicted in [A. V. Avdeenkov and J. L. Bohn, Phys. Rev. Lett. 90, 043006 (2003)]. These states exist at ultralow temperatures in the presence of an electrostatic field, and their properties are strongly dependent on the field's strength. We clarify the nature of these quasi-bound states by constructing their wave functions and determining their approximate quantum numbers. As the properties of field-linked states are strongly defined by anisotropic dipolar and Stark interactions, we construct adiabatic surfaces as functions of both the intermolecular distance and the angle that the intermolecular axis makes with the electric field. Within an adiabatic approximation we solve the 2-D Schrodinger equation to find bound states, whose energies correlate well with resonance features found in fully-converged multichannel scattering calculations

Topological Defects and CMB anisotropies : Are the predictions reliable ?

We consider a network of topological defects which can partly decay into neutrinos, photons, baryons, or Cold Dark Matter. We find that the degree-scale amplitude of the cosmic microwave background (CMB) anisotropies as well as the shape of the matter power spectrum can be considerably modified when such a decay is taken into account. We conclude that present predictions concerning structure formation by defects might be unreliable.Comment: 14 pages, accepted for publication in PR

Astroparticle Physics with a Customized Low-Background Broad Energy Germanium Detector

The MAJORANA Collaboration is building the MAJORANA DEMONSTRATOR, a 60 kg array of high purity germanium detectors housed in an ultra-low background shield at the Sanford Underground Laboratory in Lead, SD. The MAJORANA DEMONSTRATOR will search for neutrinoless double-beta decay of 76Ge while demonstrating the feasibility of a tonne-scale experiment. It may also carry out a dark matter search in the 1-10 GeV/c^2 mass range. We have found that customized Broad Energy Germanium (BEGe) detectors produced by Canberra have several desirable features for a neutrinoless double-beta decay experiment, including low electronic noise, excellent pulse shape analysis capabilities, and simple fabrication. We have deployed a customized BEGe, the MAJORANA Low-Background BEGe at Kimballton (MALBEK), in a low-background cryostat and shield at the Kimballton Underground Research Facility in Virginia. This paper will focus on the detector characteristics and measurements that can be performed with such a radiation detector in a low-background environment.Comment: Submitted to NIMA Proceedings, SORMA XII. 9 pages, 4 figure