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Abstract  

We present a unified representation theorem for the class of all outer generalized inverses of a bounded linear operator. Using this representation we develop a few specific expressions and computational procedures for the set of outer generalized inverses. The obtained result is a generalization of the well-known representation theorem of the Moore--Penrose inverse as well as a generalization of the well-known results for the Drazin inverse and the generalized inverse AT,S (2). Also, as corollaries we get corresponding results for reflexive generalized inverses.

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The author examines strategies for the construction and representation of heritage in connection with the wine brotherhoods that are an integral part of modern wine culture. The choice of name frequently involves Latin expressions that reveal the communities’ attitude to the past as they wish to create a link with a particular historical period. The symbols often combine totally unrelated historical events, ages and tangible relics remote from each other in time that can be linked not only to the local grape and wine culture but also in the wider sense to the past of the region or settlement. The celebrations and rites of the wine brotherhoods can also be instruments for the construction of heritage by manifesting different traditions.

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This study deals with the use of the Holy Crown of Hungary in Hungarian revolts and Habsburg representation between 1604 and 1611. It describes how the meaning of the crown suddenly changed after 1604 and how this meaning was spread across the borders of Hungary. The focus is on the use of the crown in the propaganda of King Matthias II at the time of his crowning as King of Bohemia in 1611. This is a rare example of the use of the Hungarian crown in the political legitimation of a ruler in another country outside Hungary, but it has a special ideological background. This use is an aspect of the history of the crown that has been overlooked to this day.

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The Neo-Latin occasional poetry is a rarely explored field of Hungarian literary history. József Batthyány was addressed with almost 160 — mostly printed, but some in manuscript — works of art, poems and speeches during his 40-year service as high priest. The main idea of these was the overwhelmingly excessive appraisal of his pastoral and personal merits. The apropos of the works were the Archbishop-Cardinal’s birth and name days, his investiture into ecclesiastic positions and his diocese visits. In this study I examine the poems from the point of view of their genre, including the theoretical background of some 18th-century poetics, among which the Palaestra by Jacob Masen undoubtedly had the biggest influence on the contemporaneous poetic approach.

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representation theorem, Studia Sci. Math. Hungar. 28 (1993), 71-77. MR 94k :46071 Integration of vector-valued continuous functions and the Riesz representation theorem Studia Sci. Math. Hungar

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focus on one of them (which we call ‘Representation-Based Phonology’) in detail, as it rests on quite recent developments, and has not been described before in synoptic work on phonological theory: section 3 discusses its key concepts and principles

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(co-word analysis, term representation). Both approaches have their own advantages and shortcomings. The main advantage of citation-based methods is beyond doubt their discriminative power. This is contrasted by a serious disadvantage: Citation

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Fulton, W. and Harris, J., Representation theory. A first course , Graduate Texts in Mathematics, 129 , Readings in Mathematics, Springer-Verlag, New York, 1991. MR 93a :20069

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non-OECD countries increased their representation in science by three percentage points during the decade 1993–2003. 1 NSF reported that among non-OECD countries and economies, Brazil, China, India, Russia, and Taiwan produced two-thirds of this

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Edwin Williams: Representation Theory. MIT Press, Cambridge MA, 2003, 285 pp.

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