Walk Through the Eye of a Needle

<p>Pedestrian bridge design is becoming more demanding and challenging as architects and engineers utilize the full measure of design ability available with current design software. This presentation will review the design process for the more unique aspects of this suspension bridge. The presentation will conclude with lessons learned during the design process. Observations from the design of this bridge will form the basis of recommendations for the enhanced design and testing specifications for cable supported bridges.</p>

Invariant measures for interval maps without Lyapunov exponents

We construct an invariant measure for a piecewise analytic interval map whose Lyapunov exponent is not defined. Moreover, for a set of full measure, the pointwise Lyapunov exponent is not defined. This map has a Lorenz-like singularity and non-flat critical points.

Around Taylor’s Theorem on the Convergence of Sequences of Functions

Egoroff’s classical theorem shows that from a pointwise convergence we can get a uniform convergence outside the set of an arbitrary small measure. Taylor’s theorem shows the possibility of controlling the convergence of the sequences of functions on the set of the full measure. Namely, for every sequence of real-valued measurable factions |fn } n∈ℕ pointwise converging to a function f on a measurable set E, there exist a decreasing sequence |δn } n∈ℕ of positive reals converging to 0 and a set A ⊆ E such that E \ A is a nullset and lim n → + ∞ | f n ( x ) − f ( x ) | δ n = 0 for all x ∈ A . Let J ( A , { f n } ) {\lim _{n \to + \infty }}\frac{{|{f_n}(x) - f(x)|}}{{{\delta _n}}} = 0\,{\rm{for}}\,{\rm{all}}\,x \in A.\,{\rm{Let}}\,J(A,\,\{ {f_n}\} ) denote the set of all such sequences |δn } n∈ℕ. The main results of the paper concern basic properties of sets of all such sequences for a given set A and a given sequence of functions. A relationship between pointwise convergence, uniform convergence and the Taylor’s type of convergence is considered.

Res judicata properties in the context of decisions of the European Court of Human Rights: correlation and scope

In this article, the author considers the concept of res judicata. It is concluded that res judicata has two main properties: presumption of the truth of the judgment, and prejudice. The author examines the presumption of the truth of the judgment, and prejudice arising from the concept of res judicata in relation to the decisions of the European Court of Human Rights. The author comes to the conclusion that the decisions of the European Court of Human Rights as res judicata have the property of a presumption in full measure. At the same time, due to the expanding competence of the Constitutional Court of the Russian Federation, the power of res judicata of the European Court of Human Rights may be limited. With regard to the second property of res judicata - prejudice, it is concluded that the decisions of the European Court of Human Rights res judicata do not have prejudice of evidentiary value. However, decisions of the European Court of Human Rights res judicata have the property of prejudicial competence of an international (interstate) agency. In this sense, according to the author, res judicata has an intersectoral prejudicial meaning.

The cello school of Georgy Averyanov: facets of artistry

Background. Logical bases of the research are conditioned by actuality of the conception of artistic universalism of creative personality and the doctrine of musicological acmeology. Topicality of the research is concretized through the model of solution of the mentioned problems by the way of studying the structure of creative universalism, which is peculiar to George Averyanov, concert performer, musical editor, head of Kharkiv cello school during 1960–1991, first vice-rector (1968–1975) and rector (1975–1991) of Kotlyarevsky Institute of Arts (nowadays Kotlyarevsky National University of Arts). The innovative element of the research consists in attraction of acme-methodology, namely the acmeocentric approach for determination of originality of creative top in life-creativity of G. B. Averyanov. The aim of the research is to determine the facets of artistry and develop the acmeogram of George Averyanov’s performing and pedagogical life-creativity on the basis of application of the acmeocentric approach. The results of the research consist in development of aspects of performance acmeology, ways of application of the acmeocentric approach with the purpose of building an acmeogram of George Averyanov’s life-creativity, determination of facets of his typical cello style of artistry (conditioned by the system of inherent talents in his nature), the rethinking of the achievements of the four cello schools of Ukraine), the introduction of the concept of “cello romanticism” as a stylistic dominant of the performing personality of the Artist. Conclusions. Acmeological methodology works in full measure after the completion of the life-creativity of the individual, when the life-creative arc, traced by the soul and inspired work of the musician, is shaped. When the researcher’s gaze is distanced (detached) from the life-creativity of the “hero”, it becomes possible to construct an acmeogram of the artist’s performance and pedagogical activity. An analysis of Averyanov’s life work has made it possible to establish the facets of his inherent artistry, formed as a result of interaction between his natural giftings, as well as the musical and cultural chronotopes of Ukraine, generalized in his activity; to define the Kharkiv period as an embodiment of the musician’s performing and teaching acme; to present the structure of universalism, characteristic of his creative individuality as a four-component (“four-activity”, according to O. Komenda,2020): hypostases of concert performer, musical editor, pedagogue, musical activist.

Introduction

The Introduction outlines a number of issues central to Derrida’s thought and to his engagement with the legacy of psychoanalysis in particular. Using a series of lexemes developed throughout his work—including ‘origin’, ‘legacy’, ‘trace’, and ‘différance’—it shows how for Derrida, despite the fractious history of disputes over its significance, Freud’s legacy can never be reduced to a single, universalizable meaning. Against Lacan’s linguistic ‘return to Freud’, Derrida insists on the structural openness of Freud’s legacy to reinterpretation in new and unpredictable contexts. This openness calls us to a dual responsibility: towards the past traces that Freud has bequeathed to us and towards a future in which this legacy must be transformed. Existing commentaries on Freud’s significance for Derrida have not always taken the full measure of his account of legacy. What Derrida views as the possible-impossible structure of inheritance is developed in each of the book’s subsequent chapters, which explore the vicissitudes of Freud’s French reception, the role of spatiality within the psyche, the relationship between science and fiction, memory and the archive, and the politics of affect.

Kakutani equivalence for products of some special flows over rotations

We study Kakutani equivalence for products of some special flows over rotations with roof function smooth except a singularity at $0\in \mathbb {T}$ . We estimate the Kakutani invariant for products of these flows with different powers of singularities and rotations from a full measure set. As a corollary, we obtain a countable family of pairwise non-Kakutani equivalent products of special flows over rotations.

Singularity of the Spectrum for Smooth Area-Preserving Flows in Genus Two and Translation Surfaces Well Approximated by Cylinders

We consider smooth flows preserving a smooth invariant measure, or, equivalently, locally Hamiltonian flows on compact orientable surfaces and show that, when the genus of the surface is two, almost every such locally Hamiltonian flow with two non-degenerate isomorphic saddles has singular spectrum. More in general, singularity of the spectrum holds for special flows over a full measure set of interval exchange transformations with a hyperelliptic permutation (of any number of exchanged intervals), under a roof with symmetric logarithmic singularities. The result is proved using a criterion for singularity based on tightness of Birkhoff sums with exponential tails decay. A key ingredient in the proof, which is of independent interest, is a result on translation surfaces well approximated by single cylinders. We show that for almost every translation surface in any connected component of any stratum there exists a full measure set of directions which can be well approximated by a single cylinder of area arbitrarily close to one. The result, in the special case of the stratum $$\mathcal {H}(1,1)$$ H ( 1 , 1 ) , yields rigidity sets needed for the singularity result.

A Beleaguered Community? Waterford Loyalists during the Revolution, 1912–1924

This chapter discusses the experiences of loyalists in Waterford during the revolutionary decade. Though small in number, about 5% of the population, they were very influential economically and socially. Unlike in many other southern counties, they mobilised and demonstrated against Home Rule in 1912. Like other loyalist communities they rallied to the flag in 1914 and many of them were killed in battle. The survivors came home to a changed Ireland. They felt abandoned by the Ulster Unionists and that some form of Home Rule was now inevitable. They chose to keep a low profile during the War of Independence. There is no evidence of discrimination or violence against them during that phase of the revolution but in 1922 and 1923 members of the loyalist community were subject to opportunistic violence, often carried out in the name of the IRA. Some chose to leave the country, but most took their lead from Sir John Keane and played their part in building the new state, responding to the call of their newspaper, the Waterford Standard: ‘There is much that we can contribute to the building up of the new Ireland. We will give it in full measure.’

Emotion and Virtue

What must a person be like to possess a virtue in full measure? What sort of psychological constitution does one need to be an exemplar of compassion, say, or of courage? Focusing on these two examples, this book ingeniously argues that certain emotion traits play an indispensable role in virtue. With exemplars of compassion, for instance, this role is played by a modified sympathy trait, which is central to enabling these exemplars to be reliably correct judges of the compassionate thing to do in various practical situations. Indeed, according to the book, the virtue of compassion is, in a sense, a modified sympathy trait, just as courage is a modified fear trait. While the book upholds the traditional definition of virtue as a species of character trait, it discards other traditional precepts. For example, the book rejects the unity of the virtues and raises new questions about when virtue should be taught. Unlike orthodox virtue ethics, moreover, this account does not aspire to rival consequentialism and deontology. Instead the book repudiates the ambitions of virtue imperialism, and makes significant contributions to moral psychology and the theory of virtue alike.