The bar-radical of a class of almost alternative baric algebras

In this article we prove that, if (U, ) is a finite dimensional baric algebra of (gamma, delta) type over a field F of characteristic not equal 2,3,5 such that gamma(2) - delta(2) + delta = 1 and 0,1, then rad(U) = R(U)boolean AND(bar(U))(2), where R(U) is the nilradical (maximal nil ideal) of U.

Periodic geodesics and geometry of compact Lorentzian manifolds with a Killing vector field

We study the geometry and the periodic geodesics of a compact Lorentzian manifold that has a Killing vector field which is timelike somewhere. Using a compactness argument for subgroups of the isometry group, we prove the existence of one timelike non self-intersecting periodic geodesic. If the Killing vector field is nowhere vanishing, then there are at least two distinct periodic geodesics; as a special case, compact stationary manifolds have at least two periodic timelike geodesics. We also discuss some properties of the topology of such manifolds. In particular, we show that a compact manifold M admits a Lorentzian metric with a nowhere vanishing Killing vector field which is timelike somewhere if and only if M admits a smooth circle action without fixed points.

Triply periodic minimal surfaces which converge to the Hoffman-Wohlgemuth example

We get a continuous one-parameter new family of embedded minimal surfaces, of which the period problems are two-dimensional. Moreover, one proves that it has Scherk`s second surface and Hoffman-Wohlgemuth`s example as limit-members.

Generalized solutions of a nonlinear parabolic equation with generalized functions as initial data

In [H. Brezis, A. Friedman, Nonlinear parabolic equations involving measures as initial conditions, J. Math. Pure Appl. (9) (1983) 73-97.] Brezis and Friedman prove that certain nonlinear parabolic equations, with the delta-measure as initial data, have no solution. However in [J.F. Colombeau, M. Langlais, Generalized solutions of nonlinear parabolic equations with distributions as initial conditions, J. Math. Anal. Appl (1990) 186-196.] Colombeau and Langlais prove that these equations have a unique solution even if the delta-measure is substituted by any Colombeau generalized function of compact support. Here we generalize Colombeau and Langlais` result proving that we may take any generalized function as the initial data. Our approach relies on recent algebraic and topological developments of the theory of Colombeau generalized functions and results from [J. Aragona, Colombeau generalized functions on quasi-regular sets, Publ. Math. Debrecen (2006) 371-399.]. (C) 2009 Elsevier Ltd. All rights reserved.

Geodesics and Almost Geodesic Cycles in Random Regular Graphs

A geodesic in a graph G is a shortest path between two vertices of G. For a specific function e(n) of n, we define an almost geodesic cycle C in G to be a cycle in which for every two vertices u and v in C, the distance d(G)(u, v) is at least d(C)(u, v) - e(n). Let omega(n) be any function tending to infinity with n. We consider a random d-regular graph on n vertices. We show that almost all pairs of vertices belong to an almost geodesic cycle C with e(n)= log(d-1)log(d-1) n+omega(n) and vertical bar C vertical bar =2 log(d-1) n+O(omega(n)). Along the way, we obtain results on near-geodesic paths. We also give the limiting distribution of the number of geodesics between two random vertices in this random graph. (C) 2010 Wiley Periodicals, Inc. J Graph Theory 66: 115-136, 2011

Stability of periodic travelling shallow-water waves determined by Newton`s equation

We study the existence and stability of periodic travelling-wave solutions for generalized Benjamin-Bona-Mahony and Camassa-Holm equations. To prove orbital stability, we use the abstract results of Grillakis-Shatah-Strauss and the Floquet theory for periodic eigenvalue problems.

The mitochondrial transcription factor A functions in mitochondrial base excision repair

Mitochondrial transcription factor A (TFAM) is an essential component of mitochondrial nucleoids TFAM plays an important role in mitochondrial transcription and replication TFAM has been previously reported to inhibit nucleotide excision repair (NER) in vitro but NER has not yet been detected in mitochondria, whereas base excision repair (BER) has been comprehensively characterized in these organelles The BER proteins are associated with the inner membrane in mitochondria and thus with the mitochondrial nucleoid, where TFAM is also situated However, a function for TFAM in BER has not yet been investigated This study examines the role of TFAM in BER In vitro studies with purified recombinant TFAM indicate that it preferentially binds to DNA containing 8-oxoguanines, but not to abasic sites, uracils, or a gap in the sequence TFAM inhibited the in vitro incision activity of 8-oxoguanine DNA glycosylase (OGG1), uracil-DNA glycosylase (UDG), apurinic endonuclease 1 (APE1), and nucleotide incorporation by DNA polymerase gamma (pol gamma) On the other hand, a DNA binding-defective TFAM mutant, L58A, showed less inhibition of BER in vitro Characterization of TFAM knockdown (KD) cells revealed that these lysates had higher 8oxoG incision activity without changes in alpha OGG1 protein levels TFAM KD cells had mild resistance to menadione and increased damage accumulation in the mtDNA when compared to the control cells In addition, we found that the tumor suppressor p53, which has been shown to interact with and alter the DNA binding activity of TFAM, alleviates TFAM-Induced inhibition of BER proteins Together, the results suggest that TFAM modulates BER in mitochondria by virtue of its DNA binding activity and protein interactions Published by Elsevier B V

An insight into the beginning stage of the aqueous ring opening metathesis polymerization of exo,exo-7-oxabicyclo[2.2.1]hept-5-ene-2,3-dicarboxylic acid with Ru(III) compounds: the consumption of Ru(III) species in the presence of carboxylic acids monitored by ESR spectroscopy

The presence of paramagnetic species in the aqueous ring opening metathesis polymerizations of the exo,exo-7-oxabicyclo[2.2.1]hept-5-ene-2,3-dicarboxylic acid monomer with RuCl(3) and K(2)[RuCl(5)H(2)O] compounds was studied using ESR techniques. It was observed that the intensities of the Ru(III) signals in the ESR spectra decrease on the time scale of the induction period so that the ROMP can take place. The intensity of the Ru(III) signal almost disappeared 50 min after reacting with K(2)[RuCl(5)H(2)O] and after 100 mm in the case of RuCl(3). Reactions of the cis-[Ru(NH(3))(4)(H(2)O)(2)](tfms)(3) and [Ru(NH(3))(5)H(2)O](tfms)(3) complexes with the monomer and different organic compounds representing the organic functions in the monomer (furan, norbornene, but-2-ene-1,4-diol and formic, acetic, oxalic and maleic acids) were also monitored by ESR and UV/vis spectra. It was deduced that the organic acids provide the disappearance of the Ru(III) signal. The proton NMR relaxation times of the residual water in D(2)O for reactions with oxalic acid suggested that the presence of paramagnetic ions in the solution decreases along with

Applicatiion of Almost ideal demand system for a pharmaceutical

This thesis is an application of the Almost Ideal Demand System approach of Deaton and Muellbauer,1980, for a particular pharmaceutical, Citalopram, in which GORMAN´s (1971) multi-stage budgeting approach is applied basically since it is one of the most useful approach in estimating demand for differentiated products. Citalopram is an antidepressant drug that is used in the treatment of major depression. As for most other pharmaceuticals whose the patent has expired, there exist branded and generic versions of Citalopram. This paper is aimed to define its demand system with two stage models for the branded version and five generic versions, and to show whether generic versions are able to compete with the branded version. I calculated the own price elasticities, and it made me possible to compare and make a conclusion about the consumers’ choices over the brand and generic drugs. Even though the models need for being developed with some additional variables, estimation results of models and uncompensated price elasticities indicated that the branded version has still power in the market, and generics are able to compete with lower prices. One important point that has to be taken into consideration is that the Swedish pharmaceutical market faced a reform on October 1, 2002, that aims to make consumer better informed about the price and decrease the overall expenditures for pharmaceuticals. Since there were not significantly enough generic sales to take into calculation before the reform, my paper covers sales after the reform.

Understanding Foreign Masters : the examples of Rabindranath Tagore and Fyodor Dostoyevskiy

The Indian author Rabindranath Tagore was received like royalty during his visits to the West after winning the Nobel Prize in 1913. Dreams of foreign cultures offered a retreat from a complicated age. In a time when the West appeared to be living under threat of disintegration and when industrialism seemed like a cul-de-sac, he appeared to offer the promise of a return to a lost paradise, a spiritual abode that is superior to the restless Western culture. However, Tagore’s popularity faded rapidly, most notably in England, the main target of his criticism. Soon after Tagore had won the Nobel Prize, the English became indignant at Tagore’s anti-colonial attitude.Tagore visited Sweden in 1921 and 1926 and was given a warm reception. His visits to Sweden can be seen as an episode in a longer chain of events. It brought to life old conceptions of India as the abode of spirituality on earth. Nevertheless, interest in him was a relatively short-lived phenomenon in Sweden. Only a few of his admirers in Sweden appreciated the complexity of Tagore’s achievements. His “anathema of mammonism”, as a Swedish newspaper called it, was not properly received. After a steady stream of translations his popularity flagged towards the end of the 1920s and then almost disappeared entirely. Tagores visits in Sweden gave an indication that India was on the way to liberate itself from its colonial legacy, which consequently contributed to the waning of his popularity in the West. In the long run, his criticism of the drawbacks in the western world became too obvious to maintain permanent interest. The Russian author Fyodor Dostoyevskiy’s Crime and Punishment (1866) has enticed numerous interpretations such as the purely biographical approach. In the nervous main character of the novel, the young student Raskolnikov, one easily recognizes Dostoyevskiy himself. The novel can also be seen as a masterpiece of realistic fiction. It gives a broad picture of Saint Petersburg, a metropolis in decay. Crime and Punishment can also be seen as one of the first examples of a modern psychological novel, since it is focused on the inner drama of its main character, the young student Raskolnikov. His actions seem to be governed by mere coincidences, dreams and the spur of the moment. it seems fruitful to study the novel from a psychoanalytical approach. In his book Raskolnikov: the way of the divided towards unity in Crime and Punishment (1982), a Swedish scholar, Owe Wikström, has followed this line of interpretation all the way to Freud’s disciple C G Jung. In addition to this, the novel functions as an exciting crime story. To a large extent it is Viktor Sjklovskij and other Russian formalists from the 1920s and onwards who have taught the western audience to understand the specific nature of the crime story. The novel could be seen as a story about religious conversion. Like Lasarus in the Bible (whose story attracts a lot of attention in the novel) Raskolnikov is awakened from the dead, and together with Sonja he starts a completely new life. The theme of conversion has a special meaning for Dostoyevskiy. For him the conversion meant an acknowledgement of the specific nature of Russia itself. Crime and punishment mirrors the conflict between traditional Russian values and western influences that has been obvious in Russia throughout the history of the country. The novel reflects a dialogue that still continues in Russian society. The Russian literary historian Mikhail Bakhtin, who is probably the most famous interpreter of the works of Dostoyevskiy, has become famous precisely by emphasizing the importance of dialogues in novels like Crime and Punishment. According to Bakhtin, this novel is characterized by its multitude of voices. Various ideas are confronted with each other, and each one of them is personified by one of the characters in the novel. The author has resigned from his position as the superior monitor of the text, and he leaves it to the reader to decide what interpretation is the correct one..The aim of the present study is thus to analyze the complex reactions in the west to Tagore’s visits in Sweden and to Fyodor Dostoyevskiys novel Crime and Punishment.. This leads to more general conclusions on communication between cultures.

Las funciones del pasado en los sistemas verbales del español y del ruso

This monograph is a comparative study of past time reference in Spanish and Russian.The ambition is to present a functional perspective of how both languages systemically express temporal and aspectual information. The verb, naturally, attracts the main attention of the thesis and the focus is almost exclusively on verbs in the indicative mood.The definition of the parameters of Time and Aspect plays an important part in the present dissertation. A particular emphasis concerns the elaboration and testing of the ‘ABC’ model, which represents a graphic definition of verbal aspect as a grammatical category.Another important issue is the distinction of aspect and Aktionsart; these concepts are closely related but operate on different functional levels. The analysis is essentially based on linguistic material from parallel corpora, constructed for this purpose. At first the material is treated statistically in order to create astarting point for the qualitative part of the analysis. The three main areas of investigation dealt with are:1) The relation between the simple past tenses, pretérito and imperfecto, in Spanish and their imperfective and perfective counterparts in Russian.2) The relation between the compound tenses in Spanish and the Russian verbal system.The analysis of this relation also comprises a critique of the traditional interpretationof the aspectual contents of the compound tenses.3) The usage of alternative strategies in both languages. In this part of the analysis the focus is widened to include verbal periphrasis, infinite verb forms and subordination. The results of the analysis demonstrate that verbal aspect, according to the definition represented by ‘the ABC model’, works as a grammatical category in both Spanish and Russian. It is also shown that there are systemic differences in the manifestation of this functional category in both languages. Another important result is that the neither the compound tenses nor the progressive express verbal aspect, at least not in a narrow sense of the word but represent different verbal functions related to aspect.

The functions of intermediaries in Swedish SMEs internationalization to the Nigerian market

Over the years so many academic literatures has revealed that increased number of firms have seen internationalization as a means to gain and sustain competitive advantage and even increase economic of scale, and this has led many western companies to emerging markets. In this paper we discovered that among the pool of Swedish firms, only the MNEs have seen Nigerian market attractive to internationalize to, but just a few of the Swedish SMEs has expanded to the Nigerian market. This research was conducted by doing a qualitative study with the use of phenomenological research approach, during our investigation on the functions of intermediaries in Swedish SMEs internationalization to Nigeria market.Furthermore, we were able to understand the importance and functions of the different marketing intermediaries’ in Swedish SMEs internationalization to Nigeria market. These intermediaries equip the Swedish firms with the required objective knowledge of the Nigerian market, updating them with recent development of the opportunities and threats involved in the Nigerian marketing environment, and linking these Swedish firms to the required government departments, distributors, agent/broker, customers, middle men etc, thereby impacting them with the experiential knowledge. Moreover, it is important for firms to have objective or pre-market knowledge of a particular market before entering that market, but this knowledge is regarded as non-helpful knowledge to firms. But the experiential knowledge is acquired over time in the market, which is regarded as the helpful knowledge. It is evident that the intermediaries equip these firms with both objective and experiential knowledge.Although the opportunities in some emerging markets are very attractive, but the threats in these markets are other factors firms also put into consideration before internationalizing to these markets. This is why thorough market research has to be done so that firms can create effective marketing strategies when they want to expand their marketing activities to emerging markets. Despite the risk and uncertainties involved in doing business in foreign countries, still yet companies selling global products do not have any choice than to internationalize their marketing operations.

Game Audio in Audio Games : Towards a Theory on the Roles and Functions of Sound in Audio Games

For the past few decades, researchers have increased our understanding of how sound functions within various audio–visual media formats. With a different focus in mind, this study aims to identify the roles and functions of sound in relation to the game form Audio Games, in order to explore the potential of sound when acting as an autonomous narrative form. Because this is still a relatively unexplored research field, the main purpose of this study is to help establish a theoretical ground and stimulate further research within the field of audio games. By adopting an interdisciplinary approach to the topic, this research relies on theoretical studies, examinations of audio games and contact with the audio game community. In order to reveal the roles of sound, the gathered data is analyzed according to both a contextual and a functional perspective. The research shows that a distinction between the terms ‘function’ and ‘role’ is important when analyzing sound in digital games. The analysis therefore results in the identification of two analytical levels that help define the functions and roles of an entity within a social context, named the Functional and the Interfunctional levels. In addition to successfully identifying three main roles of sound within audio games—each describing the relationship between sound and the entities game system, player and virtual environment—many other issues are also addressed. Consequently, and in accordance with its purpose, this study provides a broad foundation for further research of sound in both audio games and video games.