4,313 research outputs found
Heritability and Linkage Analysis of Appendicitis Utilizing Age at Onset
No full textAppendicitis usually afflicts the young, but there is a large tail in the distribution of onset age. The genetics of this disease are still not well understood. A heritability analysis and genome wide linkage analysis of a large twin dataset was undertaken. Treating age of onset of appendicitis as a censored survival trait revealed a heritability of 0.21, and found evidence of linkage to Chromosome 1p37.3. Author(s): Christopher Oldmeadow 1 * | Kerrie Mengersen 2 | Nicholas Martin 3 | David L. Duffy
Author(s): Ezra Brown and Nicholas Loehr Source
No full textJSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. . Why is PSL(2, 7) = GL(3, 2)? Mathematical Association of America Ezra Brown and Nicholas Loehr 1. INTRODUCTION. The groups of invertible matrices over finite fields are among the first groups we meet in a beginning course in modern algebra. Eventually, we find out about simple groups and that the unique simple group of order 168 has two representations as a group of matrices. And this is where we learn that the group of 2x2 unimodular matrices over a seven-element field, with / and -/ identified, is isomorphic to the group of invertible 3x3 matrices over a 2-element field. In short, it is a fact that PSL(2, 7) = GL(3, 2). Many of us are surprised by this fact: why should a group of 2 x 2 matrices with mod-7 integer entries be isomorphic to a group of 3 x 3 binary matrices? There are a number of proofs of this remarkable theorem. Dickson [1, p. 303] gives a proof based on his general theorem giving uniform sets of generators and relations for the family of groups SL(2, q), where q is any prime power. One checks that the relations appearing in Dickson's presentation of PSL(2, 7) are satisfied by certain generators of GL(3, 2), implying that these groups have the same presentations and are therefore isomorphic. Dummit and Foote [2, show that every simple group of order 168 is necessarily isomorphic to the automorphism group Aut(.F) of the Fano plane T. They then show that Aut(^) = GL(3, 2) and that PSL(2, 7) is a simple group of order 168; the isomorphism theorem follows. Rotman gives the result as an exercise [5, Exercise 9.26, p. 281]. A hint is to begin with a simple group G of order 168 and use the seven conjugates of a Sylow 2-subgroup P of G to construct a sevenpoint projective plane; the proof is similar to Dummit and Foote's proof. Jeurissen [4] proves the result by showing that both PSL(2, 7) and GL(3, 2) are subgroups of index 2 of the automorphism group of a Coxeter graph. Elkies The aim of this paper is to give a proof that PSL(2, 7) = GL(3, 2) that is elementary in the sense that it uses neither simplicity, nor projective geometry, nor block designs. We will not prove the fact that any two simple groups of order 168 are isomorphic, nor will we use this fact in our proof. What makes our proof work is that: (a) we can identify GL(3, 2) with the set of invertible F2-linear transformations on the finite field with eight elements; (b) 7 = 23 -1; (c) the nonzero squares mod 7 are precisely the powers of 2 mod 7; (d) squaring mod 2 is additive (the Freshman's Dream); and (e) the mapping k h+ -i/k mod 7 translates to a bit-switch mod 2 -which is linear. We begin by giving functional descriptions for both groups, determining their sizes
The maternal immune system during pregnancy and its influence on fetal development
No full textThe maternal immune system plays a critical role in the establishment, maintenance, and completion of a healthy pregnancy. However, the specific mechanisms utilized to achieve these goals are not well understood. Various cells and molecules of the immune system are key players in the development and function of the placenta and the fetus. Effector cells of the immune system act to promote and yet limit placental development. The T helper 1 (Th1)/T helper 2 (Th2) immune shift during pregnancy is well established. A fine balance between proinflammatory and anti-inflammatory influences is required. We herein review the evidence regarding maternal tolerance of fetal tissues and the underlying cell-mediated immune and humoral (hormones and cytokines) mechanisms. We also note the many unanswered questions in our understanding of these mechanisms. In addition, we summarize the clinical manifestations of an altered maternal immune system during pregnancy related to susceptibility to common viral, bacterial, and parasitic infections, as well as to autoimmune diseases.Peer reviewe
Characterization and structure in the development of Tudor comedy
No full textThe role of characterization in dramatic structure is assessed by theoretical criteria.
Characters who perform actions necessary for the completion of the narrative sequence are
said to be "bound" to the narrative; those without such obligations are "free". Characters
who maintain a single, constant meaning during the course of a play are said to be "static";
characters who change or develop into new roles are "dynamic". Horatian decorum
demanded that comic characters be static, and the characters of Plautine and Terentian
tradition were almost always bound to narrative intrigue. However, evaluations of six
Tudor comedies show an increasing use of non-classical characterization within the comic
form.
In the early comedies lohan lohan and Roister Doister all characters are bound and
static, yet the impetus to enlarge the role of characterization is evident. The characters of
lohan lohan are expanded from their French source, and Roister Doister includes
extraneous episodes in which Udall displays his braggart hero. Free characters abound in
Misogonus; as well the play brings dynamic characterization into the scope of comedy with
the conversion of its prodigal son.
Free characters offer new possibilities of non-narrative plotting. In comedies of the
1580s favourite traditional characters appear as diversions outside the action, and thematic
arrangements of characters inform the increasingly complex plots. Lyly stresses the
symbolic potential of characters in Endimion, whereas Greene uses dynamic
characterization to heighten the illusion of independent figures in Friar Bacon and Friar
Bungay. Love's Labour's Lost exposes the limitations of comic artifice by pulling the
characters between convention and individualization.
By the end of the sixteenth century free and dynamic characters had become
common, and characterization had established a sizable claim on the design of English
comedy. These developments set the English form apart from its neoclassical counterparts
External interventions and the duration of civil wars
No full textThe authors combine an empirical model of external intervention, with a theoretical model of civil war duration. Their empirical model of intervention allows them to analyze civil war duration, using"expected"rather than"actual"external intervention as an explanatory variable in the duration model. Unlike previous studies, they find that external intervention is positively associated with the duration of civil war. They distinguish partial third-party interventions that extend the length of war, from multilateral"peace"operations, which have a mandate to restore peace without taking sides - and which typically take place at war's end, or at least when both sides have agreed to a cease-fire. In a future paper, the authors will examine whether partial third-party interventions - whatever their effect on a war's duration - increase the risk of war's recurrence. If that proves true, then even if interventions reduce the length of civil war, they may do so at the cost of further destabilizing the political system, and sowing the seeds of future rebellion.Children and Youth,Peace&Peacekeeping,Post Conflict Reconstruction,Post Conflict Reconstruction,International Affairs,Post Conflict Reconstruction,Social Conflict and Violence,Peace&Peacekeeping,Post Conflict Reconstruction,International Affairs
The Fisher/Cobb-Douglas Paradox, Factor Shares, and Cointegration
No full textThis note uses insights from cointegration analysis to reexamine two separate but related issues concerning the estimation of production function parameters. Fisher (1971) documented a paradox in estimating substitution elasticities -- the puzzling divorce between the technology underlying his simulated data and the technology estimated from these data. This note both resolves the Paradox and, based on this resolution, raises important questions about estimation strategies (pioneered by Caballero, 1994) that rely on cointegration to recover production function parameters.production function elasticities, cointegration
“... And the entire mass of loyal people leapt up ”. The attitude of Nicholas II towards the pogroms
No full textThe article examines the attitude of the last Russian emperor Nicholas II towards one of the most tragic events which happened during his reign, the pogroms. The story, as the author argues, is important to understand the worldview, the political portrait of the last tsar and the pogrom phenomenon in late imperial Russia. The author supports his arguments with the archival and newly published documents or recent scholarship. The tsar's letters, remarks concerning the pogroms, and particularly his policy towards those responsible and towards pogromists are in the centre of the analyses. The major wave of pogroms that swept through Russia after the publication of the October 1905 Manifesto is considered within the context of a Russian bunt, a general anarchy of those days. The article analyses the social make-up of pogromists who emerged from wide illiterate lower social strata. The pogroms demonstrated that the autocracy of Nicholas II had some popular support in the struggle with revolution, even if of an extremely dubious character. Nicholas II, like an old-fashioned admirer of the idea of unity between tsar and people, straightforwardly explained pogroms as a rise of his most loyal subjects against the alien revolutionary plotters which had, however, as he admitted, horrible consequences. Convinced that the violence had to be prevented and not tolerated, Nicholas II at that critical time was in a way pleased that his imagined Rus' where all simple "true-Russians" were ready to defend the tsarist autocracy, as it seemed to him, came true
Competition Policy in Network Industries: An Introduction
No full textThe author discusses issues of the application of antitrust law and regulatory rules to network industries. In assessing the application of antitrust in network industries, we analyze a number of relevant features of network industries and the way in which antitrust law and regulatory rules can affect them. These relevant features include (among others) network effects, market structure, market share and profits inequality, choice of technical standards, relationship between the number of active firms and social benefits, existence of market power, leveraging of market power in complementary markets, and innovation races. The author finds that there are often significant differences on the effects of application of antitrust law in network and non-network industries.
Tsar and people : populist nationalism of the Emperor Nicholas II
No full textIn his article Sergei Podbolotov explores the politics and doctrine of the last Russian emperor, Nicholas II, in the context of the history of Russian nationalism. Podbolotov situates the dynastic nationalism of Nicholas II in the continuum of the Russian dynasty’s reaction to the challenge of modernity and modern nationalism, which brought about a hybrid version of völkisch ideology, Romanticism, and monarchism. The author analyzes the relationship among the monarchy, bureaucracy, Russian educated society, and rightwing nationalist parties at the beginning of the twentieth century and traces Nicholas II’s peculiar perception of power and nationhood and its influence on political reforms at the beginning of the 20th century. Podbolotov argues that the last Russian monarch faced the dilemma of balancing between the pattern of the popular peasant father-tsar and the modern role of the monarch in governing the empire. Nicholas II’s inability to resolve this dilemma serves as an explanation of the particularly devastating political crisis at the end of his rule
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