A generalization of Vassiliev's planarity criterion

Motivated by his studies in knot theory V. Vassiliev introduced $X$-graphs as regular 4-valent graph with a structure of pairs of opposite edges at each vertex. He conjectured the conditions under which $X$-graph can be embedded into a plane respecting the the $X$-structure at every vertex. The conjecture was proved by V.Manturov. Here we generalize these results for graphs with vertices of valency 4 or 6, *-graphs. A problem of such generalization was posted by A.Skopenkov

The liberal Hegelianism of Edward Caird: or, how to transcend the social economics of Kant and the romantics

Purpose: The paper establishes that Edward Caird developed a distinctive form of liberal Hegelianism out of his critical responses to Kant, the romantic tradition of Rousseau, Goethe and Wordsworth and indeed Hegel himself. Design/methodology/approach: The paper presents a philosophical reconstruction of Caird's social economics that is based on a close reading of a very wide range of Caird's writings including his recently published lectures on social ethics and political economy. Findings: Caird's theory of historical development underpinned his writings on social economics. One of his greatest debts in this regard was to his interpretation of the romantics, which introduced a rich conception of higher human capacities into his critical analysis of capitalism. When combined with his critique of Kantian formalism, this led Caird towards Hegel. Yet, Caird's concerns regarding corporatism's stultifying tendencies led him to develop a dynamic form of liberal Hegelianism, which placed far greater trust than had Hegel in the ability of free conscientious citizens to restructure and enrich established social categories (classes, professions, gender roles and so on) and the system of nations which those categories helped to constitute. Practical implications: If Caird's liberal Hegelianism were to be adopted today, we could live in much freer, fairer and enriching communities than we do at present. Originality/value: Edward Caird has been wrongly neglected in intellectual histories of Anglo-American political theory, and while his writings on Kant's critical philosophy have received some scholarly attention, his critique of romanticism has never received the attention it deserves. This also draws on manuscripts that have been published only within the past five years, having been edited for the first time by the author of this paper

What we leave behind: poetry, music, and Seamus Heaney

Seamus Heaney’s death in late summer, 2013, came as a shock and is now a residual sadness. I miss his guidance, his humanity, his humor. Heaney’s presence, through the poems, has been a richly-colored thread connecting each stage of my life—or at least of how I made sense of them. I sometimes think most everything I do is still stitched with his color (the color of a woodland in bloom). . .

Geometric Bounds for Favard Length

Given a set in the plane, the average length of its projections over all directions is called Favard length. This quantity measures the size of a set, and is closely related to metric and geometric properties of the set such as rectifiability, Hausdorff dimension, and analytic capacity. In this paper, we develop new geometric techniques for estimating Favard length. We will give a short geometrically motivated proof relating Hausdorff dimension to the decay rate of the Favard length of neighborhoods of a set. We will also show that the sequence of Favard lengths of the generations of a self-similar set is convex; this has direct applications to giving lower bounds on Favard length for various fractal sets.Comment: 7 page

The Impact of Inter-Hospital Transfer on Clinical Outcomes following Endovascular Treatment for Acute Ischemic Stroke

PURPOSE Hospitals designated as primary stroke centers offer noninvasive treatment for acute ischemic stroke, but only comprehensive stroke centers are equipped to provide endovascular treatment. When stroke patients needing endovascular treatment present to the emergency department at a primary stroke center, they then require inter-hospital transfer to a comprehensive center for definitive treatment. Recent studies have found significant treatment delays and poor clinical outcomes in patients requiring inter-hospital transfer1,2. The primary aim of this study is to determine if inter-hospital transfer impacts clinical outcomes after endovascular treatment for acute ischemic stroke. A secondary aim is to determine whether inter-hospital transfer coincides with any significant treatment delay. METHODS This study involves retrospective chart review for 107 patients undergoing endovascular treatment for acute ischemic stroke at one of three hospitals in Austin, Texas from October 2016 to September 2018. 26 patients required inter-hospital transfer, while 81 (the control group) presented directly to a hospital offering endovascular treatment. Two-tailed T- and U-tests were used for analysis of parametric and non-parametric variables pertaining to time intervals and baseline characteristics. Odds ratios were calculated to compare dichotomized outcomes between groups, with significance determined by chi-square. RESULTS Inter-hospital transfer significantly prolonged onset to groin (mean difference = 37.2 min, p=.02). The transfer group was more likely to experience intracranial hemorrhage (53.9% > 22.2%, p<.01). Clinical outcomes did not significantly differ between groups. CONCLUSIONS Although observed trends in these data suggest poor outcomes for transfer patients, small sample size limits the significance of these findings. However, the significant treatment delay seen in the transfer group warrants a discussion on city protocol changes regarding patient transport via emergency services. Protocol changes favoring direct delivery of patients to comprehensive stroke centers may reduce treatment delay and yield improved clinical outcomes.Dell Medical Schoo

Review of \u27Moral Issues in Global Perspective\u27 by Christine M. Koggel (ed.)

Book review

The Poet\u27s Hymn

Reviews the book The Doctor\u27s House: An Autobiography, by James Liddy

Ambitions and Text

Reviews the book Well Dreams: Essays on John Montague, edited by Thomas Dillon Redshaw

Courts and the executive in wartime: A comparative study of the American and British approaches to the internment of citizens during World War II and their lessons for today

This Article compares and contrasts the legal and political treatment of the detention of citizens during World War II in Great Britain and the United States. Specifically, it explores the detentions as they unfolded, the very different positions that President Franklin D. Roosevelt and Prime Minister Winston Churchill took with respect to the detention of citizens, and the manner in which British and American courts reviewed challenges brought by those detained during the war. Comparing the experiences of the two countries reveals that in both cases the courts deferred extensively to the political branches when it came to reviewing challenges to the wartime detention policies, essentially staking out roles that left them largely relegated to the sidelines of public debates over the propriety of internment policies. A comparison of the British and American experiences also reveals that, as the war continued, the two chief executives struck decidedly different positions as to the wisdom and lawfulness of detention policies directed at citizens. In the United States, Roosevelt ignored the legal advice of many of his key advisers regarding the unconstitutionality of the detention of Japanese American citizens and-again against the advice of his advisers-later delayed the closing of the internment camps until after the 1944 election. By contrast, Churchill-who operated in a different legal context that granted him greater powers than his American counterpart-came to view such policies as inconsistent with British constitutional tradition and became a crucial voice urging the termination of such detentions. The Article then attempts to understand both why the two executives charted different courses on this issue as the war unfolded and whether there are any lessons to be drawn from these events with respect to how we should think about the separation of powers during wartime today. Focusing on the British experience during the war, Churchill's change of course suggests that the executive can and sometimes will take the lead in declaring and protecting a country's constitutional values without prodding by the courts, even in wartime, and even in the absence of legal compulsion. But as is explored in the pages that follow, the British experience may be a particularly British story and more generally one that differed in significant ways from the American story. This, in turn, calls into question just how much the British experience during the war should inform debates over the separation of powers in American constitutional law. The American experience during the war, moreover, proves a cautionary tale. Specifically, it reveals a series of failings on the part of the executive branch to acknowledge and engage with the facts on the ground and honor long-accepted constitutional traditions in formulating wartime policies. This example therefore suggests that the executive branch is ill equipped to self-regulate on this score in times of war. These failings in turn call into question the common practice of courts to defer extensively to the executive on matters of national security and more generally implicate fundamental questions about the judicial role in a constitutional democracy. Although grounded in events that took place over seven decades ago, this study is undertaken for a very timely purpose. Once again, we live in a time in which the executive branch has argued that its decisions ostensibly predicated upon heightened concerns about national security should receive extensive, if not complete, deference from the Supreme Court. In addressing such arguments now and in the future, the Court would be wise to remember how judicial deference to executive branch assertions on matters of national security played out during World War II