162,066 research outputs found
The sharp A(p) constant for weights in a reverse-Holder class
No full textCoifman and Fefferman established that the class of Muckenhoupt weights is equivalent to the class of weights satisfying the "reverse Holder inequality". In a recent paper V. Vasyunin [17] presented a proof of the reverse Holder inequality with sharp constants for the weights satisfying the usual Muckenhoupt condition. In this paper we present the inverse, that is, we use the Bellman function technique to find the sharp A(p) constants for weights in a reverse-Holder class on an interval; we also find the sharp constants for the higher-integrability result of Gehring [7].Additionally, we find sharp bounds for the A(p) constants of reverse-Holder-class weights defined on rectangles in R-n, as well as bounds on the A(p) constants for reverse-Holder weights defined on cubes in R-n, without claiming the sharpness.</p
Signaturenverzeichnis abendländischer und Musikhandschriften der ehem. Preussischen Staatsbibliothek
No full textGehring P., Gebhardt W. Signaturenverzeichnis abendländischer und Musikhandschriften der ehem. Preussischen Staatsbibliothek. In: Scriptorium, Tome 13 n°1, 1959. pp. 127-130
Signaturenverzeichnis abendländischer und Musikhandschriften der ehem. Preussischen Staatsbibliothek
No full textGehring P., Gebhardt W. Signaturenverzeichnis abendländischer und Musikhandschriften der ehem. Preussischen Staatsbibliothek. In: Scriptorium, Tome 13 n°1, 1959. pp. 127-130
The ubiquitous quasidisk
No full textThis book focuses on gathering the numerous properties and many different connections with various topics in geometric function theory that quasidisks possess. A quasidisk is the image of a disk under a quasiconformal mapping of the Riemann sphere. In 1981 Frederick W. Gehring gave a short course of six lectures on this topic in Montreal and his lecture notes "Characteristic Properties of Quasidisks" were published by the University Press of the University of Montreal. The notes became quite popular and within the next decade the number of characterizing properties of quasidisks and their ramifications increased tremendously. In the late 1990s Gehring and Hag decided to write an expanded version of the Montreal notes. At three times the size of the original notes, it turned into much more than just an extended version. New topics include two-sided criteria. The text will be a valuable resource for current and future researchers in various branches of analysis and geometry, and with its clear and elegant exposition the book can also serve as a text for a graduate course on selected topics in function theory. Frederick W. Gehring (1925-2012) was a leading figure in the theory of quasiconformal mappings for over fifty years. He received numerous awards and shared his passion for mathematics generously by mentoring twenty-nine Ph.D. students and more than forty postdoctoral fellows. Kari Hag received her Ph.D. under Gehring's direction in 1972 and worked with him on the present text for more than a decade
Molecular insights into the eye evolution of bivalvian molluscs
No full textThe intention of my PhD project was to gain more insights into eye evolution and to provide further evidence for the recently proposed idea that all eye-types found in eumetazoans derive from a common Pax6-dependent proto-type eye (Gehring and Ikeo, 1999). To do so, we decided to focus on eyes found in bivalves. Two main reasons prompted us to investigate the molecular basis of bivalvian eye formation. In the first place, all major eye-types, the compound eye, consisting of numerous ommatidia, the camera eye with a single lens and the mirror eye with a reflecting mirror in the back of the eye, are found in bivalves. Hence, the occurrence of different eye-types within the same phylogenetic class makes it very unlikely that these eyes arose as independent formations during evolution. A more elegant alternative is to assume that the compound-, camera-, and mirror eyes of clams evolved monophyletically from a common ancestral precursor. The second reason why we decided to investigate bivalvian eyes is their unusual anatomical position, the edge of the mantle. So far, molecular data and most prominently Pax6 expression were exclusively gathered from “cerebral eyes” of bilaterians, with the only exception of the non-cerebral Hesse eyecups of the lancelet, which by the way do not show any Pax6 expression (Glardon et al., 1998). In this study we focused on two bivalvian species, Arca noae and Pecten maximus, representing the compound eye-type and the mirror eye-type, respectively. We isolated two genes, Pax6 and Six1/2, known to be high up in the genetic regulatory cascade of eye development, from Arca and Pecten. Our expression studies of Pax6 and Six1/2 support the idea that these two genes are necessary for the formation of the olfactory system throughout the animal kingdom. In contrast, we could not assign Pax6 and Six1/2 expression to the visual system with absolute certainty. In a second project, we isolated three opsin genes, one from Arca and two opsin genes from Pecten. A Go-coupled opsin was isolated from Pecten which was shown to be exclusively expressed in the rhabdomeric photoreceptor cells of the proximal retina. The second opsin gene isolated from Pecten and the opsin gene from Arca were shown to be expressed in various tissues, suggesting a putative role in the photic regulation of peripheral circadian clocks. Moreover, phylogenetic analysis indicate that each of these two opsin genes may constitute a novel opsin subfamily
Prof. Th. W. Adorno and the author Hans Erich Nossack.
No full textProf. Th. W. Adorno and the author Hans Erich Nossack at a reception of Insel Verlag, Buchmesse Frankfurt 1966LB
Nowe spojrzenie na planowanie architektury mieszkaniowej w afryce subsaharyjskiej
No full textThe author shares his reflections on state of art in housing and urban planning, deficiencies, expectations and possibilities in the Sahel region of Africa. He notices, that the housing problem in Africa is one of the challenges, which should be solved in order to recover life dignity of African people and secure their rights to traditional family life in acceptable conditions. The paper describes the studies on the typical dispersed urban structures and the need to foster this type of settlement structure and proposals of introduction of new on light steel frame housing system in the area of Sahel, combining the traditional way of building houses with modern technology. The particularly analysed case, is the housing problem in the Republic of Chad. The author presents the basic discussion on this topic and his architectural proposals. Unfortunately, the gap between the needs and the financial feasibility of housing construction in this area, makes this project already at the starting point extremely difficult to be realized without external subventions.Problem mieszkaniowy w Afryce jest jednym z wyzwań, które należy rozwiązać, aby Afrykanie mogli odzyskać godność życiową i zabezpieczyć swoje prawa do tradycyjnego życia rodzinnego w akceptowalnych warunkach. W artykule opisano badania nad typowymi rozproszonymi strukturami miejskimi i potrzebą wspierania tego typu struktur osadniczych oraz propozycji wprowadzenia nowego systemu konstrukcji domów, opartym na lekkim szkielecie stalowym, łączącym tradycyjny sposób budowania domów z nowoczesną technologią. Przypadkiem szczególnie analizowanym jest problem mieszkaniowy w Republice Czadu. Autor przedstawia podstawową dyskusję na ten temat i swoje propozycje architektoniczne. Niestety luka między potrzebami mieszkaniowymi w Czadzie a finansową wykonalnością budownictwa mieszkaniowego w tym obszarze sprawia, że projekt ten, już w punkcie wyjścia, jest niezwykle trudny do realizacji bez uzyskania zewnętrznych dotacji
Seeing the world anew : the radical vision of Martin Waldseemüller's 1507 & 1516 world maps /
No full text9781929154470 (ISBN). 192915447X (ISBN). First edition 2012. Accompanied by 2 foldeds map in front and back pockets: 1507 map -- 1516 map.; Includes bibliographical references: pages 98-107.; Maps from pockets also available online http://nla.gov.au/nla.map-vn6254227; Original version of the 1507 map: Universalis cosmographiae secundum Ptholomaei traditionem et Americi Vespucii alioru que lustrationes. [St. Dié, France? : s.n., 1507]; Original version of the 1516 map: Carta marina, navigatoria Portugallen, navigationes atque tocius cogniti orbis terre marisque formam naturamq[u]e situs et terminos nostris temporibus recognitos et ab antiquorum traditione differentes eciam quor[um] vetusti non meminerunt auctores hec generaliter indicat / consumatum est in oppido S. Deodati compositione et digestione Martini Waldseemuller Ilacomili. [St. Dié, France? : s.n., 1516]. Prologue: In a Renaissance Vision, a Glimpse of the Modern / John W. Hessler -- "An island surrounded on all sides by sea" : The World Map, 1507 / John W. Hessler -- "Land of Cuba, part of Asia" : The Carta marina, 1516 / Chet Van Duzer -- Epilogue: A Renaissance That Resonates Still / John W. Hessler -- Notes -- Afterword / Ralph E. Ehrenberg -- About the authors -- Acknowledgments -- The Maps: The 1507 World Map, 12 sheets, with commentary -- Composite: front pocket -- The 1516 Carta marina, 13 sheets, with commentary -- Composite: back pocket
Klimat społeczny w szkole inkluzyjnej
No full textAuthor presented in this paper theoretical approach to the building of social climate in an inclusive school. The publication indicatessome tendencies and directions of changes to improve the functioning of these institutions and to implement the idea of inclusive education.Autorka przedstawiła w artykule teoretyczne ujęcie zagadnienia związanego z budowaniem klimatu społecznego w szkole inkluzyjnej. W publikacji ukazano pewne dążenia i kierunki zmian, jakich należy dokonywać w masowych szkołach, aby poprawić jakość funkcjonowania tych placówek, tak by kierowały się one ideą edukacji włączającej
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