Solution of a System of Generalized Abel Integral Equations Using Fractional Calculus

A method is presented for obtaining useful closed form solution of a system of generalized Abel integral equations by using the ideas of fractional integral operators and their applications. This system appears in solving certain mixed boundary value problems arising in the classical theory of elasticity.

Outdoor group portrait of Marga Abel, Franzche Wolf, Miss Mahler, Margot Frank and Else Hirschfeld; Bad Kissingen Portraits Groups Women

Handwritten caption: Wir tragen nur Bemberg-Seidenstruempfe! (We wear only Bemberg silk stockings!)

Water-wave scattering by two submerged plane vertical barriers-Abel integral-equation approach

The classical problem of surface water-wave scattering by two identical thin vertical barriers submerged in deep water and extending infinitely downwards from the same depth below the mean free surface, is reinvestigated here by an approach leading to the problem of solving a system of Abel integral equations. The reflection and transmission coefficients are obtained in terms of computable integrals. Known results for a single barrier are recovered as a limiting case as the separation distance between the two barriers tends to zero. The coefficients are depicted graphically in a number of figures which are identical with the corresponding figures given by Jarvis (J Inst Math Appl 7:207-215, 1971) who employed a completely different approach involving a Schwarz-Christoffel transformation of complex-variable theory to solve the problem.

Oxidation of Abel's ketone and similar spiroketones with 2,3-dichloro-5,6-dicyano-1,4- benzoquinone (DDQ). Synthesis of novel tropone derivatives

The structure of the novel product obtained from the oxidation of Abel's ketone (1a) and similar spiroketones (1b–d) with 2, 3-dichloro-5, 6-dicyano-1,4-benzoquinone has been determined on basis of spectral data (i.r., n.m.r., and mass)

Use of Abel integral equations in water wave scattering by two surface-piercing barriers

In this paper the classical problem of water wave scattering by two partially immersed plane vertical barriers submerged in deep water up to the same depth is investigated. This problem has an exact but complicated solution and an approximate solution in the literature of linearised theory of water waves. Using the Havelock expansion for the water wave potential, the problem is reduced here to solving Abel integral equations having exact solutions. Utilising these solutions,two sets of expressions for the reflection and transmission coefficients are obtained in closed forms in terms of computable integrals in contrast to the results given in the literature which,involved six complicated integrals in terms of elliptic functions. The two different expressions for each coefficient produce almost the same numerical results although it has not been possible to prove their equivalence analytically. The reflection coefficient is depicted against the wave number in a number of figures which almost coincide with the figures available in the literature wherein the problem was solved approximately by employing complementary approximations. (C) 2009 Elsevier B.V. All rights reserved.

A formula for the solution of general Abel integral equation

A new formula for the solution of the general Abel Integral equation is derived, and an important special case is checked with the known result.

Abel Inversion of Axially-Symmetric Shock Wave Flows

Finite-fringe interferograms produced for axisymmetric shock wave flows are analyzed by Fourier transform fringe analysis and an Abel inversion method to produce density field data for the validation of numerical models. For the Abel inversion process, we use basis functions to model phase data from axially-symmetric shock wave structure. Steady and unsteady flow problems are studied, and compared with numerical simulations. Good agreement between theoretical and experimental results is obtained when one set of basis functions is used during the inversion process, but the shock front is smeared when another is used. This is because each function in the second set of basis functions is infinitely differentiable, making them poorly-suited to the modelling of a step function as is required in the representation of a shock wave.

[Discurso do Deputado Abel Rafael : Sessão da Câmara dos Deputados de 02 de maio de 1960]

Discurso proferido durante a primeira Sessão da Câmara dos Deputados na nova capital, Brasília. Congratulações, em nome do Partido da Representação Popular - PRP, pela transferência da Capital.

Making object-oriented databases more knowledgeable (From ADAM to ABEL)

Tesis leida en la Universidad de Aberdeen. 178 p.

Caín y Abel

Nivel educativo: Grado. Duración (en horas): De 11 a 20 horas

Alien gosd in the new epics: Noah remythologised through the ancient astronaut hypothesis in Abel's Montagut's "La gesta d'Utnoa"

Modern scientific world-view has undermined traditional myths, the functional survival of which seems to depend today in the West on a positivist justification. This would place them in the field of real History, through their study and revitalization by pseudoscientific disciplines such as the Atlantis and the ancient astronaut hypotheses. These have inspired new epic poems in (regular) verse that combine classic and/or biblical myths with a (pseudo)scientific modern world-view. For example, the critical rewriting of Noah’s myth by using the ancient astronaut hypothesis as a fictional device to produce a contemporary kind of plausibility allowed Abel Montagut to renew epic poetry, updating it also by adopting science fiction chronotopes in order to structure his fictional construction and to generate a high ethical sense for our time. Thus, his Poemo de Utnoa (1993) / La gesta d’Utnoa (1996), which has become a major classic of the literature in Esperanto thanks to its original version in this language, is a landmark of both science fiction and neo-biblical epics. This poem is written from a secular and purely literary perspective.

Tracing Inspiration in Proverbial Material: From 'The Royal Dictionary' (1699 & 1729) of Abel Boyer to 'The English-Irish Dictionary' (1732) of Begley-McCurtin.

This metalexicographic study examines the relationship between the proverbial material in The English-Irish Dictionary (1732) of Begley and McCurtin, Abel Boyer’s The Royal Dictionary (First edition 1699, second edition 1729), and Nathaniel Bailey’s An Universal Etymological English Dictionary (1721). It will show, for the first time, that both the English macrostructure and microstructure of the proverbial entries in Begley and McCurtin (1732) were reproduced directly from Boyer’s dictionary and, in spite of claims to the contrary, the impact of Bailey’s (1721) dictionary was negligible. Furthermore, empirical data gleaned from a comparative linguistic analysis of the various editions of The Royal Dictionary prior to 1732, will prove that it was the second official edition (1729) that was used as the framework for The English-Irish Dictionary. A quantitative and qualitative analysis of the nature of the proverbial entries will also outline the various translation strategies that were used to compose the Irish material— particularly literal translation—and show that there are extremely high-levels of borrowings from Boyer (1729), both in terms of the English entries under the lemma, and the French entries in the comment.

Between Sound and Sight: Framing the Exotic in Roysten Abel's The Manganiyar Seduction

Roysten Abel’s The Manganiyar Seduction is perhaps the most popular performance of Indian folk music on the global festival market today. This performance of Rajasthani folk music is an apt exemplification of an auto-exoticism framed as cultural commodity. Its mise en scéne of musicians framed, literally, by illuminated red square boxes ‘theatricalises’ Rajasthan’s folk culture of orality and renders such a tradition the quality of strangeness that borders on theatre and music, contemporary and traditional. The ‘dazzling’ union of the Manganiyar’s music and scenography of Amsterdam’s red light district engendered an exotic seduction that garnered raving reviews on its global tour. This paper then examines the production’s performative interstices: the in betweenness of sound and sight where aural tradition is ‘spectacularised’, and the shifting convergences of tradition and cultural consumption. It further interrogates the role of reception in the construction of such ‘exotic’ spectacles.

Tradução comentada do livro de Abel Salazar "A Crise da Europa"

Este trabalho de projeto do Mestrado em Tradução e Interpretação Especializadas consiste na tradução, para inglês, do livro A Crise da Europa, de Abel Salazar. O protocolo celebrado entre a Casa-Museu Abel Salazar e o ISCAP deu o mote a esta colaboração que tem como objectivo final a edição da obra traduzida, possibilitando que o legado de Abel Salazar esteja cada vez mais acessível a um número crescente de pessoas. Este trabalho pretende, não só, tornar disponível a obra do autor a novos públicos através da sua publicação na que é hoje a língua universal – o inglês –, mas também dar conta de quem foi Abel Salazar em toda a sua soberba pluralidade. Para além da tradução, o presente trabalho leva a cabo uma análise da metodologia utilizada no processo tradutivo e das opções que foram tomadas na produção do texto de chegada. Finalmente, o desfasamento temporal entre o autor/texto fonte e o tradutor/texto de chegada é ilustrado, com recurso a exemplos que o demonstram e clarificam a postura metodológica da tradutora. A tradução desta obra é a primeira alguma vez feita de um livro de Abel Salazar para inglês e considero que será a primeira de muitas que poderão surgir da parceria com a Casa-Museu Abel Salazar.