Dissertations / Theses on the topic 'King of norway'

The Old Norse Synoptic Histories of Norway can make a valuable contribution to thanatology (the study of attitudes towards death) and the history of medieval thought. This piece of research is an attempt to analyse how the new blend of Christian faith with ancient heroic ideals is reflected in accounts of the deaths of eleventh- and twelfth century Norwegian kings, as described in those Old Norse sagas that deal with the stories of medieval Scandinavian royalty. The period covered in this study runs from 1035, the date of the accession to the Norwegian throne of Magnús gὁoi, the son of St. Óláfr, to the death of Ingi Haraldsson in 1161. This period seems to have seen very important changes and to have been full of clashing ideas and attitudes, most of which were due to the conversion of Norway to Christianity in the immediately preceding period. The major texts covered are Theodoricus's Historia de Antiquitate Regum Norwagiensium, Ágrip af Noregskonungasögum, Morkinskinna, Snorri Sturluson's Heimskringla and Fagrskinna. A comparison between these five major sources shows how their authors often convey their political judgements on kings by the ways in which they describe their deaths, and how they were involved in the cultural and religious environment of medieval Europe, in which the discussion about Purgatory was being developed and changes in burial customs were taking place.

18q-: A Different Kind of Normal: Re-imagining Representation of Disability and Human Potentiality is a very personal project that evolved out of love and respect for those of us born with physical and intellectual impairment – made more precious when they happen to be our children. As a practice-led research project, a feature-length autobiographical documentary film has been created as a mechanism to explore the challenge of re-presenting the fullness of the lives of persons born with genetic difference on screen. The film introduces to the screen a group of individuals born with rare genetic conditions occurring on the 18th chromosome. It uses my family‟s story as a vehicle to traverse the new and unknown terrain brought by intellectual and physical impairment. In a bid to usurp entrenched, stereotypical storytelling devices that continue to marginalise, demonise and dehumanise persons of difference, the film balances the sharing of challenges with the joy and delight expressed in our lives. As a mother, filmmaker, advocate, student, academic and subject within the film, I have charted my process within the exegesis and ,in the absence of a formalised code of ethics for documentary filmmakers, I have explored ethical approaches across a number of disciplines in an endeavour to construct a framework to inform my work.
Thesis (PhD Doctorate)
Doctor of Philosophy (PhD)
Griffith Film School
Arts, Education and Law
Full Text

Thesis (Ph. D.)--Kent State University, 2008.
Title from PDF t.p. (viewed May 29, 2008). Advisor: Susanna Fein. Keywords: British Library; manuscripts; scribal studies; manuscript studies. Includes bibliographical references.

Over the last twenty years, the analysis of social networks has become an increasingly significant tool for sociologists, anthropologists and historians alike. Network analysis has not yet, however, been adopted extensively by historians of ducal Normandy or the Anglo-Norman realm. Although there has been some useful work on specific families or political groups, these have tended to artificially isolate networks from one another and from their broader social milieux. It has become clear that these problems can only be addressed by both inter and intra network analysis over a broader time frame, and that those networks themselves must also be conceived in broad terms. This thesis therefore considers three aristocratic kin-groups of significant contemporary and subsequent importance; the Clares, Giffards, and Tosnys, and includes both their cadet branches and their in-laws. All three groups are examined in terms of their kinship structures, their roles as lords and vassals, and their relationships to the church. While much of the material is Anglo-Norman, the chronological range extends from c.940 to c.1200. The aim has been to produce a fuller picture of how all three great family enterprises were constituted, developed, interacted with one another and were embedded within society, and to acknowledge that no man, and indeed, no kin-group, is an island entire of itself.

Much has been written about twelfth-century chroniclers in England, but satisfactory reasons for their approaches to historical explanation have not yet been advanced. This thesis investigates how and why historians in England retold accounts of England's eleventh-century invasions: the Danish Conquest of 1016 and the Norman Conquest of 1066. The object is to illuminate the consistent historical agendas of three historians: William of Malmesbury, Henry of Huntingdon and John of Worcester. I argue that they share a view of royal responsibility independent both of their sources (primarily the Anglo-Saxon Chronicle) and of any political agenda that placed English and Norman allegiances in opposition. Although the accounts diverge widely in the interpretation of character, all three are concerned more with the effectiveness of England's kings than with their origins. Part One outlines trends in early insular narratives and examines each of the three historians' background, prose style and view of English history to provide the necessary context for understanding how and why they rewrote narratives of kings and conquest. Part Two analyzes narratives of defending kings Æthelred and Harold; Part Three conducts a parallel analysis of conquering kings Cnut and William. These sections argue that all three writers add a significant and new degree of causal and moral responsibility to English kings in their invasion narratives. Part Four discusses the implications and significance of the thesis's findings. It argues that the historians' invasion narratives follow consistent patterns in service of their projects of redeeming the English past. It contends that modern understanding of the eleventh-century conquests of England continues to be shaped by what historians wrote years later, in the twelfth. In departing from prior modes of explanation by collective sin, the three historians' invasion narratives reflect a renaissance of ancient ideas about rule.

Doutoramento em Matemática
Nesta tese de Doutoramento desenvolve-se principalmente uma abordagem algébrica à teoria de sistemas de controlo não lineares. No entanto, outros tópicos são também estudados. Os tópicos tratados são os seguidamente enunciados: fórmulas para sistemas de controlo sobre álgebras de Lie livres, estabilidade de um sistema de corpos rolantes, algoritmos para aritmética digital, e equações integrais de Fredholm não lineares. No primeiro e principal tópico estudam-se representações para as soluções de sistemas de controlo lineares no controlo. As suas trajetórias são representadas pelas chamadas séries de Chen. Estuda-se a representação formal destas séries através da introdução de várias álgebras não associativas e técnicas específicas de álgebras de Lie livres. Sistemas de coordenadas para estes sistemas são estudados, nomeadamente, coordenadas de primeiro tipo e de segundo tipo. Apresenta-se uma demonstração alternativa para as coordenadas de segundo tipo e obtêm-se expressões explícitas para as coordenadas de primeiro tipo. Estas últimas estão intimamente ligadas ao logaritmo da série de Chen que, por sua vez, tem fortes relações com uma fórmula designada na literatura por “continuous Baker-Campbell- Hausdorff formula”. São ainda apresentadas aplicações à teoria de funções simétricas não comutativas. É, por fim, caracterizado o mapa de monodromia de um campo de vectores não linear e periódico no tempo em relação a uma truncatura do logaritmo de Chen. No segundo tópico é estudada a estabilizabilidade de um sistema de quaisquer dois corpos que rolem um sobre o outro sem deslizar ou torcer. Constroem-se controlos fechados e dependentes do tempo que tornam a origem do sistema de dois corpos num sistema localmente assimptoticamente estável. Vários exemplos e algumas implementações em Maple°c são discutidos. No terceiro tópico, em apêndice, constroem-se algoritmos para calcular o valor de várias funções fundamentais na aritmética digital, sendo possível a sua implementação em microprocessadores. São também obtidos os seus domínios de convergência. No último tópico, também em apêndice, demonstra-se a existência e unicidade de solução para uma classe de equações integrais não lineares com atraso. O atraso tem um carácter funcional, mostrando-se ainda a diferenciabilidade no sentido de Fréchet da solução em relação à função de atraso.
In this PhD thesis several subjects are studied regarding the following topics: formulas for nonlinear control systems on free Lie algebras, stabilizability of nonlinear control systems, digital arithmetic algorithms, and nonlinear Fredholm integral equations with delay. The first and principal topic is mainly related with a problem known as the continuous Baker-Campbell-Hausdorff exponents. We propose a calculus to deal with formal nonautonomous ordinary differential equations evolving on the algebra of formal series defined on an alphabet. We introduce and connect several (non)associative algebras as Lie, shuffle, zinbiel, pre-zinbiel, chronological (pre-Lie), pre-chronological, dendriform, D-I, and I-D. Most of those notions were also introduced into the universal enveloping algebra of a free Lie algebra. We study Chen series and iterated integrals by relating them with nonlinear control systems linear in control. At the heart of all the theory of Chen series resides a zinbiel and shuffle homomorphism that allows us to construct a purely formal representation of Chen series on algebras of words. It is also given a pre-zinbiel representation of the chronological exponential, introduced by A.Agrachev and R.Gamkrelidze on the context of a tool to deal with nonlinear nonautonomous ordinary differential equations over a manifold, the so-called chronological calculus. An extensive description of that calculus is made, collecting some fragmented results on several publications. It is a fundamental tool of study along the thesis. We also present an alternative demonstration of the result of H.Sussmann about coordinates of second kind using the mentioned tools. This simple and comprehensive proof shows that coordinates of second kind are exactly the image of elements of the dual basis of a Hall basis, under the above discussed homomorphism. We obtain explicit expressions for the logarithm of Chen series and the respective coordinates of first kind, by defining several operations on a forest of leaf-labelled trees. It is the same as saying that we have an explicit formula for the functional coefficients of the Lie brackets on a continuous Baker-Campbell-Hausdorff-Dynkin formula when a Hall basis is used. We apply those formulas to relate some noncommutative symmetric functions, and we also connect the monodromy map of a time-periodic nonlinear vector field with a truncation of the Chen logarithm. On the second topic, we study any system of two bodies rolling one over the other without twisting or slipping. By using the Chen logarithm expressions, the monodromy map of a flow and Lyapunov functions, we construct time-variant controls that turn the origin of a control system linear in control into a locally asymptotically stable equilibrium point. Stabilizers for control systems whose vector fields generate a nilpotent Lie algebra with degree of nilpotency · 3 are also given. Some examples are presented and Maple°c were implemented. The third topic, on appendix, concerns the construction of efficient algorithms for Digital Arithmetic, potentially for the implementation in microprocessors. The algorithms are intended for the computation of several functions as the division, square root, sines, cosines, exponential, logarithm, etc. By using redundant number representations and methods of Lyapunov stability for discrete dynamical systems, we obtain several algorithms (that can be glued together into an algorithm for parallel execution) having the same core and selection scheme in each iteration. We also prove their domains of convergence and discuss possible extensions. The last topic, also on appendix, studies the set of solutions of a class of nonlinear Fredholm integral equations with general delay. The delay is of functional character modelled by a continuous lag function. We ensure existence and uniqueness of a continuous (positive) solution of such equation. Moreover, under additional conditions, it is obtained the Fr´echet differentiability of the solution with respect to the lag function.

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The objective of this work is to study the rules that deal with the impact of the tax services (ISSQN) in situations that characterize the import of services in order to verify its compatibility with positive legislation. The research has as its starting point the analysis of the constitutional text, seeking to build content, meaning and scope of prescriptive statements that impact directly on the legal regime of the ISS. In this plan, we focus the study of standards of competence of the ISS and what constitutes it and other infraconstitucional enunciations, through studying the role of supplementary law on the conformation of the legal system of the ISS. Traced the boundaries of both substance and form that define the institution of Tax Services at the constitutional level, the archetype of this constitutional duty is achieved, partly to investigate these prescriptive statements introduced in the legal system from the LC 116/03, analyzing the limits of positive law, each of the criteria of the rule of taxation possible from the ISS by building their semantic content, focusing on those that can trigger further discussions in relation to the tax in imports of services, namely the substantive test, the space and subjective criteria. We concluded that neither the constitutional legislator nor complement legislator, the determination of the substantive (conjugation of the verb with the complement), limited, both vehicles sheaths to address the possible materiality of the tax as the provision of services. On the space criterion, closely related to the principle of territoriality, we verify the possibility of adopting the principle of origin, as well as the destination on the taxation of services, being indispensable to the location of taxable activity the existence of evidence of connection to the Brazilian legal system, in order to legitimize the tax. Regarding the subjective criterion, especially on the topic of passive submission, we note that the legislature has the freedom to choose those which are responsible for compliance with the tax liability within the prescribed limits, may choose different person from the one who gets the economic benefit arising from activity of service provision, provided that there is another rule that permits restitution (reimbursement or retention). That done, we begin the analysis of rule of tax incidence of the incident ISS on the import of services covered by the same method in the previous steps, proving its compatibility with the Brazilian legal system
O objetivo do presente trabalho é estudar as normas que dispõem sobre a incidência do Imposto sobre Serviços de Qualquer Natureza nas situações que caracterizam a importação de serviços, a fim de verificar a sua compatibilidade com o ordenamento jurídico-positivo. A pesquisa tem como ponto de partida a análise do Texto Constitucional, buscando construir o conteúdo, sentido e alcance dos enunciados prescritivos que influem diretamente no regime jurídico do ISS. Neste plano, as atenções se voltam para o estudo da norma de competência do ISS e dos seus integrantes constitutivos como os princípios e demais enunciados infraconstitucionais, passando pelo estudo do papel da lei complementar na conformação do regime jurídico do ISS. Traçados os limites de fundo e de forma que delimitam a instituição do Imposto sobre Serviços no plano constitucional, alcança-se o arquétipo constitucional deste imposto, parte para a investigação dos enunciados prescritivos introduzidos no ordenamento jurídico a partir da LC n. 116/03, analisando dentro dos limites do direito positivo, cada um dos critérios integrantes da regra-matriz de incidência tributária possível do ISS, a partir da construção dos respectivos conteúdos semânticos, enfatizando aqueles que podem provocar maiores discussões em relação à incidência do imposto na importação de serviços, a saber o critério material, o critério espacial e o critério subjetivo. Conclui que não houve por parte, seja do legislador constitucional seja do legislador complementar, a determinação do critério material (conjugação do verbo com o complemento), limitando-se, ambos os veículos introdutores, a tratar da materialidade possível do imposto como sendo a prestação de serviços. Quanto ao critério espacial, intimamente relacionado ao princípio da territorialidade, verifica-se a possibilidade de adoção do princípio da origem, tanto quanto do destino na tributação da prestação de serviços, sendo indispensável para a localização da atividade tributável a existência de elementos de conexão com o ordenamento jurídico brasileiro, de modo a legitimar a tributação. Em relação ao critério subjetivo, em especial no tópico da sujeição passiva, constata-se que tem o legislador liberdade para a escolha daquele a quem incumbe o cumprimento da obrigação tributária, dentro dos limites previstos, podendo escolher pessoa diversa daquela que obtém o benefício econômico decorrente da atividade de prestação de serviço, desde que exista uma outra norma, que autorize a restituição (retenção ou reembolso). Feito isso, tem início a análise da regra-matriz de incidência tributária do ISS incidente na importação de serviços, pelo mesmo método percorrido nas etapas anteriores, concluindo pela sua compatibilidade com o ordenamento jurídico brasileiro

Alors que la forêt de Lyons est souvent assimilée à une simple forêt-frontière, dix années d’enquête nous obligent à modifier radicalement cette définition géo-historique. Il faut dire qu’entre temps, il a fallu reconsidérer la notion même de forêt qui désignait au haut Moyen Âge, non pas de grandes étendues boisées, mais tout au contraire un espace fortement humanisé où coexistent futaies et taillis, landes et prairies, champs et villages. De cette grande forêt médiévale de Lyons – la plus importante de Normandie avec ses 30 000 ha – entièrement dévolue à l’usage et aux besoins de son détenteur ducal ou royal se dégage alors un pays, lui-même fruit de la sédimentation de quatre espaces nettement identifiés, entre 1100 et 1450. Des multiples séjours des Plantagenêts puis des Capétiens, attestés par plus de 500 chartes signées en forêt de Lyons entre 1100 et 1400 et justifiées soit par la chasse (espace résidentiel), soit par la guerre (espace militaire) résultent en effet un espace politique qui explique la fortune étonnante d’au moins deux favoris issus du pays de Lyons : Guillaume de Longchamps, chancelier d’Angleterre sous Richard Cœur de Lion et Enguerrand de Marigny, le familier de Philippe le Bel. S’ajoutent à cela tous les revenus qu’un espace économique comme la forêt de Lyons procure à son détenteur, en se rappelant l’importance prise par le bois dans l’économie médiévale. En définitive, l’on découvre ainsi que ce pays a fini par produire un véritable écosystème d’une résilience à toute épreuve jusqu’à ce que les années sombres de la fin de la Guerre de cent ans finissent par avoir raison de cet âge d’or qu’a représenté le Moyen Âge pour la forêt de Lyons
Although the forest of Lyons is often defined simply as a border forest, ten years of research has enabled me to make a radical change to this old geographical definition. My reconsideration of even the concept of “forest,” shows that, in the High Middle Ages, the word meant not large stretches of woodlands but, instead, a well-developed space, where timberlands, thickets, heaths, pastures, cultivated fields, and villages coexisted. The medieval forest of Lyons, the most important in all Normandy with its 30,000 hectares, was entirely devoted to the use and necessities of its ducal or royal title-holder, and it emerged as a pays formed by the coalescence of four distinct spaces between 1100 and 1450. The many sojourns of the Plantagenets and then the Capetians — due to hunting (residential space) and various wars (military space) — are documented by more than 500 acts signed in the forest of Lyons between 1100 and 1400. These sojourns produced a political space that explains the stunning careers of at least two royal favorites, natives of the pays of Lyons: William Longchamp, chancellor under Richard the Lionheart, and Enguerrand de Marigny, chief minister of Philip the Fair. Since wood was a necessity in medieval times, the forest of Lyons was also an important economic space because it earned significant revenue for its title-holder. All things considered, it is clear that the pays of Lyons produced a true ecosystem able to survive all hardships until the dark, final period of the Hundred Years War put an end to the Golden Age that the Middle Ages had brought to the forest of Lyons

碩士
國立臺灣大學
政治學研究所
102
This dissertation attempts to discuss the concept “The Normal Course for Rulers and Kings” in Ming Dynasty by studying 《Nanhua Zhenjing Fumo》（南華真經副墨）、《Commentary on the Inner Chapters of the Zhuangzi》（莊子內篇注）and《Zhuangzi Tong》（莊子通）.First of all , I focus on the three authors－Lu Xi-Xing（陸西星）、Hanshan Deqing（憨山德清）and Shen Yi-Guan（沈一貫）how to define Zhuangzi between different academic groups. Second, I try to find out the theme of “The Normal Course for Rulers and Kings” in those books . Furthermore , following by there subthemes－“Tao and the perfection of knowledge”、“how the enlightened king took his stand could not be fathomed”、“the government of the enlightened king”of Zhuangzi I analysis the three philosophers how to explain these concepts and then come to a conclusion . The main findings are as follows: From Taoism to Taoist religion , Lu Xi-Xing, who was the expert of inner alchemy (neidan) in Ming Dynasty, make the linkages between body and political affairs .He believes that the true king is not only a political leader but also the man who can use occult arts skillfully. In my opinion, Lu Xi-Xing created a type of political myth which combined with body metaphors of “Tao-Te”and political ideology . Master Hanshan was one of the four eminent monks who spared the revival of Buddhism in the Late Ming. About the concept “The Normal Course for Rulers and Kings” of 《Commentary on the Inner Chapters of the Zhuangzi》,he advocated the theory of “unity in essence and appearance”. He emphasised on “Understanding”(覺)—this one word is the source of all mysteries. And the best method of spiritual cultivation is to do one''s tasks without deliberate effort or purposeful mind. In this way, he narrowed the gap between political and non-political fundamentally. Thus the sage is both of this world and the other world. Shen Yi-Guan thought Zhuangzi is one of the best philosopher of Confucianism. He made a connection between 《Book of Changes》 and 《Zhuangzi》 , and centered on the ideas of the dynamic balance of opposites, the evolution of events as a process, and acceptance of the inevitability of change. He believed that the whole truth is the Tao of " sageliness within and kingliness with-out". The true king must be the sage who doing for nothing instead of doing nothing , his mind was so vast that it lay in a single stream with Heaven and Earth. And finally, the king understand that over and above society as a whole, there is the great whole which is the universe. He is not only a member of society, but at the same time a member of the universe. This understanding and self-consciousness constitute for him a higher sphere of living.

Ziel dieser Arbeit war es, mit Hilfe 35 normalhörender Probanden im Alter von 19-27 Jahren Schwellenkurven (Speech reception threshold) zu einem neu aufgenommenen dynamischen Einsilbertest mit den Zahlen eins bis zwölf (enthält den Zweisilber sieben) und den Farben braun, blau, gelb, grün, rot, schwarz und weiß zu erstellen. Die Versuche sollten zunächst orientierende Ergebnisse der Sprachverständlichkeiten zu den verschiedenen Sprachmodi ohne Störlärm liefern. Das Besondere an diesem sprachaudiometrischen Test waren neun verschiedene Sprachmodi, kombiniert aus den Stimmen drei verschiedener, unterschiedlich gut trainierter Sprecher – Mann, Frau und Kind – mit den oben genannten Wörtern in geflüsterter, normaler und gebrüllter Sprache. Die für jeden Modus charakteristischen Sprachverständlichkeits-schwellen sind eine 50%ige Sprachverständlichkeit in den Modi Mann flüsternd bei einem Schalldruckpegel von 32,0 dB, Frau flüsternd bei 31,7 dB, Kind flüsternd bei 38,3 dB; Mann normal bei 26,7 dB; Frau normal bei 23,4 dB, Kind normal bei 25,7 dB; Mann laut bei 17,9 dB, Frau laut bei 16,6 dB und Kind laut bei 13,2 dB. Hieran kann deutlich gezeigt werden, dass stimmlose Flüstersprache schwieriger verstanden wird und höhere Schalldruckpegel zum Erreichen der Schwelle bzw. der vollständigen Sprachverständlichkeit benötigt, als leiser gedrehte normal betonte Sprache, wie es bei üblichen Sprachtests der Fall ist. Die verschiedenen Steigungen der sigmoidalen Sprachverständlich-keitskurven von Mann flüsternd 3,4%/dB, Frau flüsternd 4,3%/dB, Kind flüsternd 2,6%/dB; Mann normal 5,9%/dB; Frau normal 5,1%/dB, Kind normal 2,9%/dB; Mann laut 5,0%/dB, Frau laut 2,2%/dB und Kind laut 2,7%/dB, zusammen mit weiteren graphischen Analysen der Verständlichkeits-Pegel-Diagramme, lassen die Sprecherqualitäten der jeweiligen Sprachmodi beurteilen. Die Variabilitäten sowohl interindividuell als auch sprachmodusbezogen zeigen, dass erst verschiedene Sprecher sowie unterschiedliche Betonung der Testsprache geeignet sein könnten, um dem gesamten Sprachspektrum, dem ein Mensch in seinem sozialen Umfeld ausgesetzt ist, bei der Hörgeräte-anpassung näher zu kommen. Dieser neue Sprachtest vereint in Geschlecht und Alter verschiedene Sprecher mit geflüsterter, normaler und gerufener Sprache und wird durch sein knappes Testwörtervolumen klinisch anwendbar. Durch das größere getestete Sprachspektrum könnte bereits eine beginnende, subjektiv noch nicht wahrgenommene Schwerhörigkeit aufgedeckt werden. Die Untersuchungen des Sprachmaterials zeigen, dass ein Proband je nach Trainingslevel des Sprechers unterschiedlich gute Sprachverständlichkeiten erreicht. Ein Testergebnis ist somit nicht unerheblich von der Qualität des Sprechers abhängig. Weiterhin werden auch die Sprachverständlichkeiten auf jedes einzelne Wort hin betrachtet. Das Testmaterial erscheint außer den Wörtern „acht“ und „braun“ in seiner Verständlichkeit homogen. So ist es nicht verwunderlich, dass sich Hörgeräteträger in besonderen Alltagssituationen, zum Beispiel während eines Gesprächs mit dem Enkel, von ihrer Hörhilfe im Stich gelassen fühlen. Dies bestätigen Zahlen aus Studien über die allgemein niedrige Hörgeräteakzeptanz. Die für einen Hörverlust typischen Handicaps und die damit verbundenen Anforderungen an ein Hörgerät verlangen sensiblere Methoden zur Hörgeräteanpassung mit dem Ziel, die Hörgeräteakzeptanz zu verbessern. Die Untersuchung des Testmaterials an Menschen mit Hörverlust sowie in einer alltagsnahen Testsituation mit Störlärm soll in weiteren Studien abgeklärt werden
The aim was to generate the speech reception thresholds of a new developed speech audiometry test on 35 normal hearing persons in the age of 19-27. The test contains the numbers one to twelve and the colours brown, blue, yellow, green, red, black and white. First the experiment should result in normal curves without background noise. The speciality of this speech test were nine different mode in speech, combined of three different voices of speakers with different training level - man, woman and child - with whispered, normal and shouted intonation. The characteristic speech reception thresholds were with "man whispered" at 32,0 dB, "woman whispered" at 31,7 dB, "child whispered" at 38,3 dB, "man normal" at 26,7 dB, "woman normal" at 23,4 dB, "child normal" at 25,7 dB, "man shouted" at 17,9 dB, "woman shouted" at 16,6 dB and "child shouted" at 13,2 dB. The gradients and the graphic analysis of the curves gave information about the speakers quality. The variabilities show, that different speakers and different mode of speech could be able to simulate the whole acoustic spectrum in the process of fitting a hearing aid. This speech audiometry test could be a method to make this process more sensitive in order to advance the acceptance of using a hearing aid. The examination of this test material on people with hearing loss as well as in an "everyday-like" situation with background noise has to be accomplished in further studies

Дмітрова К. М. Наближено аналітичний розв’язок системи інтегральних рівнянь однієї плоскої контактної задачі про нелінійне зношування : кваліфікаційна робота магістра спеціальності 111 "Математика" / наук. керівник Н. М. Д’яченко. Запоріжжя : ЗНУ, 2020. 40 с.
UA : Робота викладена на 40 сторінках друкованого тексту, містить 3 рисунки, 17 джерел, 1 додаток. Об’єкт дослідження: система інтегральних рівнянь задачі про нелінійне зношування пружного шару при контакті. Мета роботи: знайти аналітичний і наближений розв’язки задачі про нелінійне зношування пружного шару при контакті за допомогою покрокового за часом методу, довести існування і єдиність такого розв’язку на кожному часовому кроці. Методи дослідження: аналітичний: вивчення та аналіз системи інтегральних рівнянь даної задачі, практичний: розв’язання конкретної контактної задачі; порівняльний: порівняння отриманих розв’язків з результатами І.Г. Горячевої. У кваліфікаційній роботі розглянуто задачу про нелінійне зношування пружної тонкої смуги при ковзанні по ній штампа з плоскою основою, що зводиться до розв’язання системи інтегральних рівнянь на кожному часовому кроці. Досліджено питання існування і єдиності розв’язку даної системи. Проведено аналіз розподілу тиску і товщини зношуваної смуги в різні моменти часу, зокрема на стадії припрацювання та на стадії сталого зносу.
EN : The work is presented on 40 pages of printed text,3figures, 17references, 1 supplement. The object of the study isa system of integral equations of the problem of nonlinear attrition of an elastic strip at contact. The aim of the study isto analyze the problem of nonlinear attrition of an elastic layer given contact, to prove the existence of the unique decision of the system of the integral equation, which this problem is reducedto, at each step to time, and to find an analytic and approximate solution in these steps. The methods of research areanalytical: to learn and to analyze the system of the integral equation, practical: to solve the specific flat contact problem, and comparative: to compare the gotten solution to I.H. Goryacheva’s result. In the qualifying paper, the problem of the nonlinear attrition of a thin elastic strip is considered at sliding on it a stamp with a flat basis. The problem is reduced to solving the system of integral equations in each step to time. The existence of the unique decision of the system is proved. The analysis of the distribution of pressure and thickness of a worn outstrip in different time intervals is carried out: at a stage of the run-in and at a stage of the steady-state wear.