16,016 research outputs found
Special Issue Dedicated to the 65th birthday of Alexander Kruger
No full textIn this special issue, we take the opportunity, on the occasion of his 65th birthday,to acknowledge the outstanding contributions of Professor Alexander Kruger (home page: https://asterius.ballarat.edu.au/akruger/) to the theoretical founda-tions of variational analysis and nonsmooth optimization during his 45 year longresearch career
Uniform Regularity of Set-Valued Mappings and Stability of Implicit Multifunctions
No full textWe propose a unifying general (i.e. not assuming the mapping to have anyparticular structure) view on the theory of regularity and clarify therelationships between the existing primal and dual quantitative sufficient andnecessary conditions including their hierarchy. We expose the typical sequenceof regularity assertions, often hidden in the proofs, and the roles of theassumptions involved in the assertions, in particular, on the underlying space:general metric, normed, Banach or Asplund. As a consequence, we formulateprimal and dual conditions for the stability properties of solution mappings toinclusionsComment: 24 page
Douglas Alexander Stewart, poet, author and playwright
No full textDouglas Alexander Stewart, poet, author and playwrigh
Author inscription in William Hazlitt, essayist and critic; selections from his writings, with a memoir, biographical and critical by Alexander Ireland
No full textAuthor's gift inscription, "To W. C. Hazlitt Esq with kind regards, from Alexr Ireland," with tipped-in review of the book.ASU Library edition has inscription from Ireland to Hazlitt [a child of William Hazlitt?].
Hazlitt , William, 1778-1830.
Ireland, Alexander, 1810-1894
An induction theorem and nonlinear regularity models
No full textA general nonlinear regularity model for a set-valued mapping F : X x R+ paired right arrows Y, where X and Y are metric spaces, is studied using special iteration procedures, going back to Banach, Schauder, Lyusternik, and Graves. Namely, we revise the induction theorem from Khanh [J. Math. Anal. Appl., 118 (1986), pp. 519-534] and employ it to obtain basic estimates for exploring regularity/openness properties. We also show that it can serve as a substitution for the Ekeland variational principle when establishing other regularity criteria. Then, we apply the induction theorem and the mentioned estimates to establish criteria for both global and local versions of regularity/openness properties for our model and demonstrate how the definitions and criteria translate into the conventional setting of a set-valued mapping F : X paired right arrows Y. An application to second-order necessary optimality conditions for a nonsmooth set-valued optimization problem with mixed constraints is provided
"All things bright and beautiful" – children singing the apostolic creed
No full textDie kerk het oor die eeue heen van liedere gebruikgemaak om teologiese waarhede oor te dra
aan volgelinge. Hierdie proses het ook plaasgevind in die godsdienstige onderrig van kinders.
Kinderkerkliedere raak veral in die 19de eeu in Brittanje toenemend toegespits op kinders se
vermoëns om teologiese begrippe en Bybelse kennis te kan verwerk. In hierdie artikel word die
oordrag van kennis van die apostoliese geloofsbelydenis, soos dit voorkom in drie liedere uit CF
Alexander se Hymns for Children (1848), ondersoek. Daar word geargumenteer dat Alexander se
benadering verskil van dié van vorige kinderliedere deurdat dit nie net konsentreer op oordrag
van kennis (in hierdie geval die geloofsbelydenis) nie, maar ook aanspraak maak op die spirituele
belewenis van die kind. Spiritualiteit word verstaan as ’n besondere vlak van bewustheid van die
werklikheid en oomblikke van verwondering, opgewondenheid en verbeelding soos uiteengesit
deur die Nye en Hay. Die gevolgtrekking is dat die digter deur gebruik van eenvoudige taal
en beelde wat aan die kind bekend is, aansluiting vind by die kind se verwysingsraamwerk en
spirituele vermoëns. Dit dra daartoe by dat oordrag van teologiese kennis in die Hymns for little childen plaasvind deurdat die belewenis en ervaring van die betrokke aanhalings uit die
geloofsbelydenis geïntensiveer word. Terselfdertyd gee dit aan die kind die geleentheid om sy/
haar spiritualiteit uit te leef deurdat ’n besondere bewustheid van die werklikheid, soos verwoord
in die lied, aangemoedig word en aspekte van spiritualiteit soos verwondering en verbeelding
beleef en ontwikkel word
The Author of the Alexander Romance
No full textThis paper, which is based on a portion of the introduction of the author’s edition of Il Romanzo di Alessandro (Mondadori: Fondazione Valla 2007), surveys the generic components of the Alexander Romance in an attempt to arrive at a definition of the work. The argument builds on Merkelbach’s categorisation of elements and uses Fusillo’s insight into the novel as an ‘encyclopaedic genre’ to propose that ‘historical novel’ is not, as Hägg contended, a misnomer for the work. The main components I discuss are: ‘life’; praxeis; chreiai; Cynic elements, including choliambic poetry and utopian perspectives; and the Egyptian aspects of the narrative. A concluding jeu d’esprit offers a characterisation of the putative author, his antecedents and his process of composition.Richard Stoneman was for 25 years editor for classics at Croom Helm and then Routledge. In 1997 he was appointed an Honorary Fellow in the department of classics, University of Exeter. After retiring from publishing in 2006 he has been pursuing his researches on the Alexander legends and teaching a course on the subject at Exeter. His Penguin translation of the Alexander Romance was published in 1991, and a volume of translated Legends of Alexander the Great appeared from Everyman in 1994. Also in 1994 he co-edited Greek Fiction with John Morgan. His edition of the Greek recensions of the Alexander Romance was published (volume I) by the Fondazione Valla in 2007 – volumes II and III will follow over the next few years – and his Alexander the Great: A Life in Legend appeared from Yale University Press in spring 2008. He is the author of a number of other books on Greek history and travel, and is writing a book on oracles
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