On a Problem of Burnside

Burnside posed the question as to whether or not there exist groups having an external automorphism that behaves in a certain, specific way like an inner automorphism: we shall define such automorphisms to be nearly-inner. NI-groups are fairly rare. With the aid of the computer algebra system Magma - in particular with the aid of its small group database - we set out to test this hypothesis.

Problem of Tragedy and Tragic Consciousness in Russia at the turn of the 19th Century

This project intertwines philosophical and historico-literary themes, taking as its starting point the concept of tragic consciousness inherent in the epoch of classicism. The research work makes use of ontological categories in order to describe the underlying principles of the image of the world which was created in philosophical and scientific theories of the 17th century as well as in contemporary drama. Using these categories brought Mr. Vilk to the conclusion that the classical picture of the world implied a certain dualism; not the Manichaean division between light and darkness but the discrimination between nature and absolute being, i.e. God. Mr. Vilk begins with an examination of the philosophical essence of French classical theatre of the XVII and XVIII centuries. The history of French classical tragedy can be divided into three periods: from the mid 17th to early 19th centuries when it triumphed all over France and exerted a powerful influence over almost all European countries; followed by the period of its rejection by the Romantics, who declared classicism to be "artificial and rational"; and finally our own century which has taken a more moderate line. Nevertheless, French classical tragedy has never fully recovered its status. Instead, it is ancient tragedy and the works of Shakespeare that are regarded to be the most adequate embodiment of the tragic. Consequently they still provoke a great number of new interpretations ranging from specialised literary criticism to more philosophical rumination. An important feature of classical tragedy is a system of rules and unities which reveals a hidden ontological structure of the world. The ontological picture of the dramatic world can be described in categories worked out by medieval philosophy - being, essence and existence. The first category is to be understood as a tendency toward permanency and stability (within eternity) connected with this or that fragment of dramatic reality. The second implies a certain set of permanent elements that make up the reality. And the third - existence - should be understood as "an act of being", as a realisation of permanently renewed processes of life. All of these categories can be found in every artistic reality but the accents put on one or another and their interrelations create different ontological perspectives. Mr. Vilk plots the movement of thought, expressed in both philosophical and scientific discourses, away from Aristotle's essential forms, and towards a prioritising of existence, and shows how new forms of literature and drama structured the world according to these evolving requirements. At the same time the world created in classical tragedy fully preserves another ontological paradigm - being - as a fundamental permanence. As far as the tragic hero's motivations are concerned this paradigm is revealed in the dedication of his whole self to some cause, and his oath of fidelity, attitudes which shape his behaviour. It may be the idea of the State, or personal honour, or something borrowed from the emotional sphere, passionate love. Mr. Vilk views the conflicting ambivalence of existence and being, duty as responsibility and duty as fidelity, as underlying the main conflict of classical tragedy of the 17th century. Having plotted the movement of the being/existence duality through its manifestations in 17th century tragedy, Mr. Vilk moves to the 18th century, when tragedy took a philosophical turn. A dualistic view of the world became supplanted by the Enlightenment idea of a natural law, rooted in nature. The main point of tragedy now was to reveal that such conflicts as might take place had an anti-rational nature, that they arose as the result of a kind of superstition caused by social reasons. These themes Mr. Vilk now pursues through Russian dramatists of the 18th and early 19th centuries. He begins with Sumarakov, whose philosophical thought has a religious bias. According to Sumarakov, the dualism of the divineness and naturalness of man is on the one hand an eternal paradox, and on the other, a moral challenge for humans to try to unite the two opposites. His early tragedies are not concerned with social evils or the triumph of natural feelings and human reason, but rather the tragic disharmony in the nature of man and the world. Mr Vilk turns next to the work of Kniazhnin. He is particularly keen to rescue his reputation from the judgements of critics who accuse him of being imitative, and in order to do so, analyses in detail the tragedy "Dido", in which Kniazhnin makes an attempt to revive the image of great heroes and city-founders. Aeneas represents the idea of the "being" of Troy, his destiny is the re-establishment of the city (the future Rome). The moral aspect behind this idea is faithfulness, he devotes himself to Gods. Dido is also the creator of a city, endowed with "natural powers" and abilities, but her creation is lacking internal stability grounded in "being". The unity of the two motives is only achieved through Dido's sacrifice of herself and her city to Aeneus. Mr Vilk's next subject is Kheraskov, whose peculiarity lies in the influence of free-mason mysticism on his work. This section deals with one of the most important philosophical assumptions contained in contemporary free-mason literature of the time - the idea of the trinitarian hierarchy inherent in man and the world: body - soul - spirit, and nature - law - grace. Finally, Mr. Vilk assess the work of Ozerov, the last major Russian tragedian. The tragedies which earned him fame, "Oedipus in Athens", "Fingal" and "Dmitri Donskoi", present a compromise between the Enlightenment's emphasis on harmony and ontological tragic conflict. But it is in "Polixene" that a real meeting of the Russian tradition with the age-old history of the genre takes place. The male and female characters of "Polixene" distinctly express the elements of "being" and "existence". Each of the participants of the conflict possesses some dominant characteristic personifying a certain indispensable part of the moral world, a certain "virtue". But their independent efforts are unable to overcome the ontological gap separating them. The end of the tragedy - Polixene's sacrificial self-immolation - paradoxically combines the glorification of each party involved in the conflict, and their condemnation. The final part of Mr. Vilk's research deals with the influence of "Polixene" upon subsequent dramatic art. In this respect Katenin's "Andromacha", inspired by "Polixene", is important to mention. In "Andromacha" a decisive divergence from the principles of the philosophical tragedy of Russian classicism and the ontology of classicism occurs: a new character appears as an independent personality, directed by his private interest. It was Katenin who was to become the intermediary between Pushkin and classical tragedy.

The Problem of the Tensleep Sandstone

Sandstone is probably one of the most important groups of rocks in existence today. The economic importance of so insignifi­cant a thing as a mass of sand grains grows with the true reality of the situation. By increasing our knowledge of grains of sand, or particles of sandstone in all their ram­ifications, it would undoubtedly reflect upon our everyday life by increasing commercial possibilities of an undevel­oped natural resource of Montana.

Identity, Philosophy, and the Problem of Armenian History in the Sixth Century

History and Identity in the Late Antique Near East gathers together the work of distinguished historians and early career scholars with a broad range of expertise to investigate the significance of newly emerged, or recently resurrected, ethnic identities on the borders of the eastern Mediterranean world. It focuses on the "long late antiquity" from the eve of the Arab conquest of the Roman East to the formation of the Abbasid caliphate. The first half of the book offers papers on the Christian Orient on the cusp of the Islamic invasions. These papers discuss how Christians negotiated the end of Roman power, whether in the selective use of the patristic past to create confessional divisions or the emphasis of the shared philosophical legacy of the Greco-Roman world. The second half of the book considers Muslim attempts to negotiate the pasts of the conquered lands of the Near East, where the Christian histories of Hira or Egypt were used to create distinctive regional identities for Arab settlers. Like the first half, this section investigates the redeployment of a shared history, this time the historical imagination of the Qu'ran and the era of the first caliphs. All the papers in the volume bring together studies of the invention of the past across traditional divides between disciplines, placing the re-assessment of the past as a central feature of the long late antiquity. As a whole, History and Identity in the Late Antique Near East represents a distinctive contribution to recent writing on late antiquity, due to its cultural breadth, its interdisciplinary focus, and its novel definition of late antiquity itself.

Plasticity, plasticity, plasticity…and the rigid problem of sex

Why is popular understanding of female-male differences still based on rigid models of development, even though contemporary developmental sciences emphasize plasticity? Is it because the science of sex differences still works from the same rigid models?

A comprehensive discussion of HMBC pulse sequences. III. Solving the problem of missing and weakly observed long-range correlations

The intensity of long-range correlations observed with the classical HMBC pulse sequence using static optimization of the long-range coupling delay is directly related to the size of the coupling constant and is often set as a compromise. As such, some long-range correlations might appear with a reduced intensity or might even be completely absent from the spectra. After a short introduction, this third manuscript will give a detailed review of some selected HMBC variants dedicated to improve the detection of long-range correlations, such as the ACCORD-HMBC, CIGAR-HMBC, and Broadband HMBC experiments. Practical details about the accordion optimization, which affords a substantial improvement in both the number and intensity of the long-range correlations observed, but introduces a modulation in F1, will be discussed. The incorporation of the so-called constant time variable delay in the CIGAR-HMBC experiment, which can trigger or even completely suppress 1H–1H coupling modulation inherent to the utilization of the accordion principle, will be also discussed. The broadband HMBC scheme, which consists of recording a series of HMBC spectra with different delays set as a function of the long-range heteronuclear coupling constant ranges and transverse relaxation times T2, is also examined.

Nonalcoholic Fatty Liver Disease-Related Hepatocellular Carcinoma: A Problem of Growing Magnitude.

Hepatocellular carcinoma (HCC) is a cancer with globally rising incidence. Growing evidence supports associations between metabolic syndrome and diabetes as well as obesity and HCC arising in patients with nonalcoholic fatty liver disease (NAFLD). This constitutes a problem of alarming magnitude given the rising epidemic of these conditions. The role of diabetes seems to be particularly important when associated with obesity or cirrhosis. Excess hepatic iron may be another potential risk factor for the development of NAFLD-associated HCC. In the context of NAFLD, HCC frequently develops in a not-yet cirrhotic liver. As there are no surveillance programs for these patients, diagnosis often occurs at a tumor stage beyond curative options. Clinical, tumor, and patient characteristics in NAFLD-associated HCC differ from other etiologies. Older age and cardiovascular comorbidities may limit treatment options further. The outcome in patients with NAFLD-associated early HCC is excellent and therefore aggressive treatment should be pursued in appropriate patients. Population-based prevention to reduce the culprit-NAFLD-early recognition through targeted surveillance programs in risk-stratified patients and effective treatment of HCC associated with NAFLD are urgently needed. In this review, the authors summarize the epidemiology, risk factors, features, and prevention of NAFLD-associated HCC.