The growth of gradients of solutions of some elliptic equations and Bi-Lipschicity of QCH

Filomat ◽  
2017 ◽  
Vol 31 (10) ◽  
pp. 3023-3034
Author(s):  
Miodrag Mateljevic

In this paper, we study the growth of gradients of solutions of elliptic equations, including the Dirichlet eigenfunction solutions on bounded plane convex domain. Several results related to Bi-Lipschicity of quasiconformal harmonic (qch) mappings with respect to quasi-hyperbolic and euclidean metrics, are proved. In connection with the subject, we announce a few results concerning the so called interior estimate, including Proposition 1.1. In addition, a short review of the subject is given.

1959 ◽  
Vol 37 (9) ◽  
pp. 1017-1035 ◽  
Author(s):  
John M. Bowsher

The study of the propagation of "plastic" waves in solids has reached a stage where it is necessary to consider which direction future research should take. In the past 90 or so years many experiments, mostly designed to elucidate certain points of engineering significance, and a few attempts at a theoretical study have cast some light on the subject and revealed it as one of formidable difficulty.Nearly all the experiments have of necessity relied on rather dubious theories for their interpretation, and part of the present paper will be devoted to a description of an apparatus which gives results capable of being interpreted with a very minimum of theory. The remainder of the paper is devoted to a short review of past work with particular emphasis on basic phenomena and to a brief discussion on the most pressing problems still remaining. The experiments described in the present paper bring to light a factor in the propagation of "plastic" waves that seems to have been overlooked in previous work.


2020 ◽  
Vol 10 (3) ◽  
Author(s):  
Denys Kutsenko

The article deals with an instrumental use of the national legislation by the local authorities in Kharkiv, the second-largest city in Ukraine and shows how the shortcomings in the national legislation on the politics of memory can be used by the local political elites of “borderland city” in an attempt to raise the rating and/or to mobilize the electorate before the elections. Consequently, several interviews with local experts and activists were conducted in 2019, and qualitative data analysis was made for the transcribed texts as well as a short review of other papers on the subject. Also, the article shows how the local court can accelerate the process of depriving a historical building of the status of an architectural monument using decommunization laws. The study confirms the existence of serious polarization in Ukrainian society and the superficial nature of decommunization (started in 2015), which stimulates the deepening of such polarization.


1990 ◽  
Vol 43 (2) ◽  
pp. 159
Author(s):  
E Saar

Implications of the observed large scale structure on the physics of the early universe are described. A short review of Soviet work on the subject is given, and the present status of the fractal model of the large scale structure is discussed.


Zootaxa ◽  
2010 ◽  
Vol 2489 (1) ◽  
pp. 47 ◽  
Author(s):  
DAVID B. NORMAN

This short review discusses current understanding of the history, anatomy and taxonomy of the lower Wealden Groupaged (Valanginian ~141–137Ma) iguanodontian dinosaurs from southern England. English Wealden iguanodontian taxonomy has been the subject of comment and scrutiny since the latter half of the 19 th century. As proposed over two decades ago, iguanodontians recovered from quarries across this geographic region can be subdivided into anatomically and chronologically distinct assemblages. A review of the lower Wealden Group (Valanginian) assemblage (formerly understood to comprise the relatively poorly known and understood taxa Iguanodon dawsoni, Iguanodon fittoni and Iguanodon hollingtoniensis) establishes the presence of two diagnosable taxa: Barilium dawsoni (Lydekker, 1888) comb. nov. and Hypselospinus fittoni (Lydekker, 1889) comb. nov. The upper Wealden Group (Hauterivian–Lower Aptian) assemblage comprises Iguanodon bernissartensis and Mantellisaurus atherfieldensis. Recent suggestions concerning the creation of additional new Wealden Group taxa reflect systemic misunderstandings of the actual skeletal material. A detailed taxonomic review of all Wealden Group iguanodontians is in preparation.


Urban History ◽  
2005 ◽  
Vol 32 (1) ◽  
pp. 132-169
Author(s):  
BÄRBEL BRODT ◽  
PAUL ELLIOTT ◽  
BILL LUCKIN

Few – if any - would deny that cartography is one of the most essential disciplines within the multi-layered scope of urban history. Elizabeth Baigent pays tribute to the possibilities and problems posed by maps in her ‘Fact or fiction? Town maps as aids and snares to the historian’, Archives: The J. of the British Records Association, 29, 110 (2004), 24–37. By looking at a map of Gloucester, compiled in 1455, and two late medieval Bristol maps (one by Robert Ricart, the other by William Smith), she outlines their usefulness as well as the problems that the modern urban historian faces. Although medieval maps can clearly help to identify ‘lost’ streets, and to elucidate the town's social geography, it is essential to consider the purpose for which any individual map was drawn, the context in which it was published (and re-published) and not least the skills of the cartographer concerned. Cartography may be an essential tool for the urban historian, but there are many other tools and topics, and this year's medieval urban periodical literature again reflects the wide scope of the subject. This is especially true for the German language periodicals which tend to relate to traditionally powerful concepts rather than to recent departures. This trend largely reflects the nature of those periodicals concerned for they are almost entirely devoted to strictly local, or at most regional concerns. They are naturally home to brief essays on mainly local matters, particularly the commemoration of anniversaries of urban charters (e.g., Paul Wietzorek, ‘Zum Titelbild: 100 Jahre Stadtwappen Zons – 1904–2004’, Der Niederrhein. Die Zeitschrift des Vereins Niederrhein, 71, 1 (2004), 2–5; Paul Wietzorek, ‘Zum Titelbild: 750 Jahre Stadtrechte Grieth 1254–2004’, ibid., 71, 2 (2004), 54–5; Paul Wietzorek, ‘Zum Titelbild: 650 Jahre Stadt Dahlen (Rheindalen) 1354–2004’, ibid., 71, 3 (2004), 114–15), overviews of town histories (e.g. Eberhard Lebender, ‘Die Weizackerstadt Pyritz. Ein Gang durch die Geschichte – von der Bronzezeit bis zur Zerstörung 1945’, Pommern. Zeitschrift für Kultur und Geschichte, 42, 2 (2004), 8–17) and recent archaeological excavations (e.g., Sven Spiong, ‘Archäologische Ausgrabung an der Paderborner Stadtmauer’, Die Warte, 65, 123 (2004), 23–6; Sven Spiong, ‘Den Stiftsherren auf der Spur: Archäologische Ausgrabung nördlich der Busdorfkirche in Paderborn’, ibid., 65, 124 (2004), 9–10). Anna Helena Schubert's ‘Archäologische Untersuchungen im Bereich der “Untersten Stadtmühle” in Olpe’, Heimatstimmen aus dem Kreis Olpe, 75, 3 (2004), 195–202, is another example of local archaeological case studies. Olpe received its urban charter in 1311; in the German context such an urban charter necessarily involved fortification. Schubert is concerned whether the ‘lower mill’ which was situated outside the first urban wall was erected at the same time or at a later date than this wall, yet has to admit that despite extensive archaeological excavation this question has to remain – at least for the time – unanswered. English articles on local excavations are too numerous to be dealt with adequately in this short review. Two examples may suffice: Robert Cowie's ‘The evidence from royal sites in Middle Anglo-Saxon London’, Medieval Archaeology, 48 (2004), 201–8, looks at the evidence for palaces c. 650 – c. 850 that emerged from recent archaeological investigations in the Cripplegate area of the City and at the Treasury in Whitehall. Mary Alexander, Natasha Dodnell and Christopher Evans have published ‘A Roman cemetery in Jesus Lane, Cambridge’, Proceedings of the Cambridge Antiquarian Society, 93 (2004), 67–94. 32 corpses were unearthed (three of them decapitated), and modest grave goods were found. This cemetery seems to have served a suburban settlement within the lower Roman town. Pottery assemblage indicates industrial activity. The excavation added significantly to our knowledge of the layout and scale of Roman Cambridge. Cambridge clearly remained a significant centre during the fourth century and sustained an economic and commercial role.


1998 ◽  
Vol 6 (3-4) ◽  
pp. 197-204 ◽  
Author(s):  
Heinz Hutter ◽  
Astrid Hammer ◽  
Gottfried Dohr ◽  
Joan S. Hunt

Pregancy in the human presents an “immunological paradox,” because of the unexpected willingness of mothers to accept genetically disparate tissues. The fact that the fetus can develop unharmed for nine months shows that protective mechanisms must exist to permit its survival. The conditions that permit the genetically dissimilar human fetus to evade rejection by its mother's immune system have been the subject of intense interest for several decades. As the placental cells, which are in contact with maternal blood or tissue, are devoid of HLA class II antigens, interest has focused on the expression of HLA class molecules. Recent developments in the constitutive, transcriptional, and translational expression of HLA class I molecules on anatomically and morphologically different subpopulations of trophoblast cells will form the basis of this short review.


1986 ◽  
Vol 31 (2) ◽  
pp. 142-145
Author(s):  
Esther Samson ◽  
Et Sylvie Picard

Summary A new case of Capgras’ syndrome is presented with a short review on the subject. Since there are many controversies about the etiology of this syndrome, and since some authors explain it with organic factors, others with psychodynamic factors, or a combination of the two, one should be careful with this syndrome to eliminate the presence of organic factors with a meticulous physical examination and appropriate neuropsychological tests. A thorough examination of early interpersonal relations is necessary to verify psychodynamic hypothesis, the most plausible being the splitting of internalized object representations.


1988 ◽  
Vol 61 (3) ◽  
pp. 548-553 ◽  
Author(s):  
Gary R. Hamed

Abstract Over the past several years the author and collaborators have studied the autohesion (tack) and cohesion (green strength) of uncrosslinked elastomers. It is the purpose of this short review to present some highlights of this research. This is not meant to be a brief review of the entire literature on the subject.


2016 ◽  
Vol 23 (3) ◽  
pp. 3-12 ◽  
Author(s):  
Witold Kazimierski ◽  
Marta Włodarczyk-Sielicka

Abstract The paper undertakes the subject of spatial data pre-processing for marine mobile information systems. Short review of maritime information systems is given and the focus is laid on mobile systems. The need of spatial data generalization is underlined and the concept of technology for such generalization in mobile system is presented. The research part of the paper presents the results of analyzes on selected parameters of simplification in the process of creating mobile navigation system for inland waters. In the study authors focused on selected layers of system. Models of simplification for layers with line features and with polygons were tested. The parameters of tested models were modified for the purposes of study. The article contains tabular results with statistics and spatial visualization of selected layers for individual scales.


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