Newton's aerodynamic problem in media of chaotically moving particles

Plakhov, A.Y.; Torres, D., (2005) 'Newton's aerodynamic problem in media of chaotically moving particles', Sbornik: Mathematics 196(6) pp.885-933 RAE2008

The Dirichlet problem in convex bounded domains for operators with L8-coefficients

Wood, Ian; Hieber, M., (2007) 'The Dirichlet problem in convex bounded domains for operators with L8-coefficients', Differential and Integral Equations 20 pp.721-734 RAE2008

Project Sanitarium: gaming TB: a serious game for a serious problem

Collaborative projects between Industry and Academia provide excellent opportunities for learning. Throughout the academic year 2014-2015 undergraduates from the School of Arts, Media and Computer Games at Abertay University worked with academics from the Infection Group at the University of St Andrews and industry partners Microsoft and DeltaDNA. The result was a serious game prototype that utilized game design techniques and technology to demystify and educate players about the diagnosis and treatment of one of the world's oldest and deadliest diseases, Tuberculosis (TB). Project Sanitarium is a game incorporating a mathematical model that is based on data from real-world drug trials. This paper discusses the project design and development, demonstrating how the project builds on the successful collaborative pedagogical model developed by academic staff at Abertay University. The aim of the model is to provide undergraduates with workplace simulation, wider industry collaboration and access to academic expertise to solve challenging and complex problems.

The Offstage of Democracy: The Problem of Social Dialogue in John Dewey’s and Walter Lippmann’s Writings

The aim of this article is to present and discuss John Dewey’s and Walter Lippmann’s views on the problem of communication in a democratic society, particularly their views on the question of a role of communication in forming social processes. First part of the paper outlines the framework of this problem and its meaning to the question of possibility of democracy. Part two is concerned with anthropological and socio-political considerations: I discuss the Deweyan and the Lippmannian understanding of individual, society, intelligence and democracy. In part three I examine in detail the problem of communication, with special attention given to the questions of the role of communication in forming social processes, the foundations and conditions of communication, the debaters, and a subject matter of a debate as well as the questions of who and what forms this debate and whether we can form it altogether.

Problem ubóstwa w Unii Europejskiej

The issues of poverty, famine and malnutrition mainly concern underdeveloped regions. Yet in recent years the proportion of the population threatened with poverty and social exclu- sion has been growing not only in these regions but also in developed areas, including the EU. The issue of poverty is additionally related to demography. In this context, the aging popula- tion of West European countries is worrisome, as the elderly are one of the groups particularly threatened by poverty, and their number continues to grow. Appreciating the gravity of this is- sue, the European Commission considers the fight against poverty to be one of the basic five directions established in the Europe 2020 strategic document.

Sytuacja społeczna ludzi starych jako problem pedagogiczny

In the article were presented results and analysis of searches of social situation of older people. A general purpose of searches was to qualify outer impulses which are components of aspect of social situation and that how it is accepted by older people and how it stimulates their activity. Learning of social situation of older people allows to qualify specific methods of work with them on base of pedagogics.

Filozofia antyczna wobec problemu interpretacji. Rozwój alegorezy od przedsokratyków do Arystotelesa

The present work examines the beginnings of ancient hermeneutics. More specifically, it discusses the connection between the rise of the practice of allegoresis, on the one hand, and the emergence of the first theory of figurative language, on the other. Thus, this book investigates the specific historical and cultural circumstances that enabled the ancient Greeks not only to discover the possibility of allegorical interpretation, but also to treat figurative language as a philosophical problem. By posing difficulties in understanding the enigmatic sense of various esoteric doctrines, poems, oracles and riddles, figurative language created the context for theoretical reflection on the meaning of these “messages”. Hence, ancient interpreters began to ponder over the nature and functions of figurative (“enigmatic”) language as well as over the techniques of its proper use and interpretation. Although the practice of allegorical interpretation was closely linked to the development of the whole of ancient philosophy, the present work covers only the period from the 6th to the 4th century B.C. It concentrates, then, on the philosophical and cultural consequences of allegoresis in the classical age. The main thesis advocated here has it that the ancient Greeks were in-clined to regard allegory as a cognitive problem rather than merely as a stylistic or a literary one. When searching for the hidden meanings of various esoteric doc-trines, poems, oracles and riddles, ancient interpreters of these “messages” assumed allegory to be the only tool suitable for articulating certain matters. In other words, it was their belief that the use of figurative language resulted from the necessity of expressing things that were otherwise inexpressible. The present work has been organized in the following manner. The first part contains historical and philological discussions that provide the point of departure for more philosophical considerations. This part consists of two introductory chapters. Chapter one situates the practice of allegorical interpretation at the borderline of two different traditions: the rhetorical-grammatical and the hermeneutical. In order to clearly differentiate between the two, chapter one distinguishes between allegory and allegoresis, on the one hand, and allegoresis and exegesis, on the other. While pointing to the conventionality (and even arbitrariness) of such distinctions, the chapter argues, nevertheless, for their heuristic usefulness. The remaining part of chapter one focuses on a historical and philological reconstruction of the most important conceptual tools of ancient hermeneutics. Discussing the semantics of such terms as allēgoría, hypónoia, ainigma and symbolon proves important for at least two crucial reasons. Firstly, it reveals the mutual affinity between allegoresis and divination, i.e., practices that are inherently connected with the need to discover the latent meaning of the “message” in question (whether poem or oracle). Secondly, these philological analyses bring to light the specificity of the ancient understanding of such concepts as allegory or symbol. It goes without saying that antiquity employed these terms in a manner quite disparate from modernity. Chapter one concludes with a discussion of ancient views on the cognitive value of figurative (“enigmatic”) language. Chapter two focuses on the role that allegoresis played in the process of transforming mythos into logos. It is suggested here that it was the practice of allegorical interpretation that made it possible to preserve the traditional myths as an important point of reference for the whole of ancient philosophy. Thus, chapter two argues that the existence of a clear opposition between mythos into logos in Preplatonic philosophy is highly questionable in light of the indisputable fact that the Presocratics, Sophists and Cynics were profoundly convinced about the cognitive value of mythos (this conviction was also shared by Plato and Aristotle, but their attitude towards myth was more complex). Consequently, chapter two argues that in Preplatonic philosophy, myth played a function analogous to the concepts discussed in chapter one (i.e., hidden meanings, enigmas and symbols), for in all these cases, ancient interpreters found tools for conveying issues that were otherwise difficult to convey. Chapter two concludes with a classification of various types of allegoresis. Whilst chapters one and two serve as a historical and philological introduction, the second part of this book concentrates on the close relationship between the development of allegoresis, on the one hand, and the flowering of philosophy, on the other. Thus, chapter three discusses the crucial role that allegorical interpretation came to play in Preplatonic philosophy, chapter four deals with Plato’s highly complex and ambivalent attitude to allegoresis, and chapter five has been devoted to Aristotle’s original approach to the practice of allegorical interpretation. It is evident that allegoresis was of paramount importance for the ancient thinkers, irrespective of whether they would value it positively (Preplatonic philosophers and Aristotle) or negatively (Plato). Beginning with the 6th century B.C., the ancient practice of allegorical interpretation is motivated by two distinct interests. On the one hand, the practice of allegorical interpretation reflects the more or less “conservative” attachment to the authority of the poet (whether Homer, Hesiod or Orpheus). The purpose of this apologetic allegoresis is to exonerate poetry from the charges leveled at it by the first philosophers and, though to a lesser degree, historians. Generally, these allegorists seek to save the traditional paideia that builds on the works of the poets. On the other hand, the practice of allegorical interpretation reflects also the more or less “progressive” desire to make original use of the authority of the poet (whether Homer, Hesiod or Orpheus) so as to promote a given philosophical doctrine. The objective of this instrumental allegoresis is to exculpate philosophy from the accusations brought against it by the more conservative circles. Needless to say, these allegorists significantly contribute to the process of the gradual replacing of the mythical view of the world with its more philosophical explanation. The present book suggests that it is the philosophy of Aristotle that should be regarded as a sort of acme in the development of ancient hermeneutics. The reasons for this are twofold. On the one hand, the Stagirite positively values the practice of allegoresis, rehabilitating, thus, the tradition of Preplatonic philosophy against Plato. And, on the other hand, Aristotle initiates the theoretical reflection on figurative (“enigmatic”) language. Hence, in Aristotle we encounter not only the practice of allegoresis, but also the theory of allegory (although the philosopher does not use the term allēgoría). With the situation being as it is, the significance of Aristotle’s work cannot be overestimated. First of all, the Stagirite introduces the concept of metaphor into the then philosophical considerations. From that moment onwards, the phenomenon of figurative language becomes an important philosophical issue. After Aristo-tle, the preponderance of thinkers would feel obliged to specify the rules for the appropriate use of figurative language and the techniques of its correct interpretation. Furthermore, Aristotle ascribes to metaphor (and to various other “excellent” sayings) the function of increasing and enhancing our knowledge. Thus, according to the Stagirite, figurative language is not only an ornamental device, but it can also have a significant explanatory power. Finally, Aristotle observes that figurative expressions cause words to become ambiguous. In this context, the philosopher notices that ambiguity can enrich the language of a poet, but it can also hinder a dialectical discussion. Accordingly, Aristotle is inclined to value polysemy either positively or negatively. Importantly, however, the Stagirite is perfectly aware of the fact that in natural languages ambiguity is unavoidable. This is why Aristotle initiates a syste-matic reflection on the phenomenon of ambiguity and distinguishes its various kinds. In Aristotle, ambiguity is, then, both a problem that needs to be identified and a tool that can help in elucidating intricate philosophical issues. This unique approach to ambiguity and figurative (“enigmatic”) language enabled Aristotle to formulate invaluable intuitions that still await appropriate recognition.

Polski Hamlet

Chapter is an attempt at reconstruction of the culminating moment of the first stage of the Polish reception of Shakespeare's "Hamlet". It has been entirely devoted to J. Słowacki's "Horsztyński". There is no doubt that "Horsztyński" should be viewed as the fullest and deepest interpretation of Shakespearean elements in the literary output of Juliusz Słowacki. Numerous citations and references to the works of the Elizabethan dramatist reach deeply into the structure of the world and human's life. Thanks to many adductions (citations) to Shakespeare, Słowacki approached the so much important problem for the Romantic period in Polish literature, namely the problem of individual tragedy of existence of the main character of a play and a clash with historical dilemmas of the community. The analysis of the text is aimed at showing all references to Shakespearean masterpiece with a particular emphasis on the hamletism of the charactwe of Szczęsny Kossakowski. The author describes the motif of betrayal, ever-present on different levels of the text structure, which in the most complete way describes the organisation of space between humans and their interaction in "Horsztyński". The author focuses his attention on detailed description and analysis of the recurrent themes frequently repeated in Szczęsny's statements, namely motifs of "man-harp", "man-actor in the theatre of the world", and "man-puppet", harlequin, clown. These motifs prove the sensibility of Szczęsny's to the theatrical aspect of the surrounding reality. The motif of darkness and of a blind man groping his way in the darkness so frequent in Szczęsny's statements can be interpreted as a manifestation of utter lack of hope and the feeling of uselessness of one's existence in the world.

Refugee Question as an International Global Problem

The problem of refugees is a phenomenon characteristic of contemporary international relations. It can take an individual form (as a result of individual persecutions of a racial, religious, national or political character) or the form of mass relocations, especially in the face of military conflicts or general breaching of human rights. The purpose of this paper is to present the refugee question as an international global problem that may appear in any region of the world, impacting the situation of states and societies, that is perceived as both a threat and a fundamental challenge for the entire international community.

Konwencja dotycząca statusu uchodźców a praktyka turecka. Problem przybyszów zza wschodniej granicy

Celem publikacji jest podjęcie próby przeanalizowania polityki, jaką Turcja prowadzi wobec obcokrajowców poszukujących schronienia na jej terytorium. O ważkości zagadnienia zadecydowała w ostatnich latach przede wszystkim tocząca się w Syrii wojna domowa, w wyniku której na terytorium Turcji znalazło się ponad 700 tysięcy Syryjczyków. Szczególne w tym kontekście kontrowersje budzi fakt stosowania przez Turcję podwójnych standardów w przedmiocie nadawania imigrantom konwencyjnego statusu uchodźcy. Państwo to, jako jedno z czterech na świecie, w momencie przystępowania do Konwencji dotyczącej statusu uchodźców i Protokołu nowojorskiego zastrzegło sobie prawo do stosowania w tej materii tzw. kryterium geograficznego. W efekcie, o ile status uchodźcy nadany być może osobom przybywającym zza zachodnich granic Turcji, o tyle uciekinierzy z państw takich, jak Syria, Iran, czy Irak z formalnego punktu widzenia są „poszukującymi schronienia” (tur. sığınmacı). To zaś oznacza brak ich konwencyjnej ochrony. Celem artykułu jest jednak nie tylko przeanalizowanie prawnego i rzeczywistego położenia, w jakim znajdują się ofiary syryjskiej wojny domowej, przybywające na terytorium Turcji, a także próba przewidzenia scenariusza rozwoju tejże sytuacji. Celem uczynienia analizy możliwie najbardziej rzetelną, odwołano się zarówno do anglo, jak i tureckojęzycznych materiałów źródłowych.

Asynchronous Auction for Distributed Nonlinear Resource Allocation Problem

Resource Allocation Problems (RAPs) are concerned with the optimal allocation of resources to tasks. Problems in fields such as search theory, statistics, finance, economics, logistics, sensor & wireless networks fit this formulation. In literature, several centralized/synchronous algorithms have been proposed including recently proposed auction algorithm, RAP Auction. Here we present asynchronous implementation of RAP Auction for distributed RAPs.

On the Stable Paths Problem and a Restricted Variant

Interdomain routing on the Internet is performed using route preference policies specified independently, and arbitrarily by each Autonomous System in the network. These policies are used in the border gateway protocol (BGP) by each AS when selecting next-hop choices for routes to each destination. Conflicts between policies used by different ASs can lead to routing instabilities that, potentially, cannot be resolved no matter how long BGP is run. The Stable Paths Problem (SPP) is an abstract graph theoretic model of the problem of selecting nexthop routes for a destination. A stable solution to the problem is a set of next-hop choices, one for each AS, that is compatible with the policies of each AS. In a stable solution each AS has selected its best next-hop given that the next-hop choices of all neighbors are fixed. BGP can be viewed as a distributed algorithm for solving SPP. In this report we consider the stable paths problem, as well as a family of restricted variants of the stable paths problem, which we call F stable paths problems. We show that two very simple variants of the stable paths problem are also NP-complete. In addition we show that for networks with a DAG topology, there is an efficient centralized algorithm to solve the stable paths problem, and that BGP always efficiently converges to a stable solution on such networks.

Recognition of Human Action Using Moment-Based Feature

The performance of different classification approaches is evaluated using a view-based approach for motion representation. The view-based approach uses computer vision and image processing techniques to register and process the video sequence. Two motion representations called Motion Energy Images and Motion History Image are then constructed. These representations collapse the temporal component in a way that no explicit temporal analysis or sequence matching is needed. Statistical descriptions are then computed using moment-based features and dimensionality reduction techniques. For these tests, we used 7 Hu moments, which are invariant to scale and translation. Principal Components Analysis is used to reduce the dimensionality of this representation. The system is trained using different subjects performing a set of examples of every action to be recognized. Given these samples, K-nearest neighbor, Gaussian, and Gaussian mixture classifiers are used to recognize new actions. Experiments are conducted using instances of eight human actions (i.e., eight classes) performed by seven different subjects. Comparisons in the performance among these classifiers under different conditions are analyzed and reported. Our main goals are to test this dimensionality-reduced representation of actions, and more importantly to use this representation to compare the advantages of different classification approaches in this recognition task.

The Cache Inference Problem and its Application to Content and Request Routing

In many networked applications, independent caching agents cooperate by servicing each other's miss streams, without revealing the operational details of the caching mechanisms they employ. Inference of such details could be instrumental for many other processes. For example, it could be used for optimized forwarding (or routing) of one's own miss stream (or content) to available proxy caches, or for making cache-aware resource management decisions. In this paper, we introduce the Cache Inference Problem (CIP) as that of inferring the characteristics of a caching agent, given the miss stream of that agent. While CIP is insolvable in its most general form, there are special cases of practical importance in which it is, including when the request stream follows an Independent Reference Model (IRM) with generalized power-law (GPL) demand distribution. To that end, we design two basic "litmus" tests that are able to detect LFU and LRU replacement policies, the effective size of the cache and of the object universe, and the skewness of the GPL demand for objects. Using extensive experiments under synthetic as well as real traces, we show that our methods infer such characteristics accurately and quite efficiently, and that they remain robust even when the IRM/GPL assumptions do not hold, and even when the underlying replacement policies are not "pure" LFU or LRU. We exemplify the value of our inference framework by considering example applications.

Anisotropic Interpolation on Graphs: The Combinatorial Dirichlet Problem

The combinatorial Dirichlet problem is formulated, and an algorithm for solving it is presented. This provides an effective method for interpolating missing data on weighted graphs of arbitrary connectivity. Image processing examples are shown, and the relation to anistropic diffusion is discussed.