Geometry in preduals of spaces of 2-homogeneous polynomials on Hilbert spaces

Let H be a (real or complex) Hilbert space. Using spectral theory and properties of the Schatten–Von Neumann operators, we prove that every symmetric tensor of unit norm in HoH is an infinite absolute convex combination of points of the form xox with x in the unit sphere of the Hilbert space. We use this to obtain explicit characterizations of the smooth points of the unit ball of HoH .

Latin American migration in the central area of Iquique: New fronts of residential location and unequal forms of access to housing

Historically the central area of the city of Iquique has been established as residential space migrants choosing from different backgrounds , however since the late 2000s migration flows are diversified being mostly Latin American immigrants who live in precarious conditions , accessing tugurizados properties , deteriorated in an increasingly growing informal market. The results presented here are derived from quantitative residential location of migrants , as well as the implementation of 13 in-depth interviews . From these results emerge that Latin American migrants access to the same places where once lived internal migrants, however they inhabit a restrictive market , uneven and inadequate living conditions lease, but allows them to articulate residence and proximity to industrial networks , social and popular trade.

'From Neo-Latin to Vernacular: Marvell's Bilingualism and Renaissance Pedagogy'

This chapter contextualises Marvell's Latin poetry in relation to seventeenth-century pedagogical theory and practice, with particular focus on bilingual textbooks, double translation methodology, and etymological alertness. An analysis of several Marvellian case-studies serves to highlight the influence of pedagogical bilingualism upon his poetic creativity.

The Co-Entrapment of a Homogeneous Catalyst and an Ionic Liquid by a Sol-gel Method: Recyclable Ionogel Hydrogenation Catalysts

Molecular hydrogenation catalysts have been co-entrapped with the ionic liquid [Bmim]NTf(2) inside a silica matrix by a sot-gel method. These catalytic ionogels have been compared to simple catalyst-doped glasses, the parent homogeneous catalysts, commercial heterogeneous catalysts, and Rh-doped mesoporous silica. The most active ionogel has been characterised by transmission electron microscopy, X-ray photoelectron spectroscopy, and solid state NMR before and after catalysis. The ionogel catalysts were found to be remarkably active, recyclable and resistant to chemical change.

Solventless continuous flow homogeneous hydroformylation of 1-octene

The hydroformylation of 1-octene under continuous flow conditions is described. The system involves dissolving the catalyst, made in situ from [ Rh(acac)(CO)(2)] (acacH = 2,4- pentanedione) and [RMIM][TPPMS] ( RMIM = 1-propyl (Pr), 1-pentyl (Pn) or 1-octyl (O)-3-methyl imidazolium, TPPMS = Ph2P(3-C6H4SO3)), in a mixture of nonanal and 1-octene and passing the substrate, 1-octene, together with CO and H-2 through the system dissolved in supercritical CO2 (scCO(2)). [PrMIM][TPPMS] is poorly soluble in the medium so heavy rhodium leaching (as complexes not containing phosphine) occurs in the early part of the reaction. [PnMIM][ PPMS] affords good rates at relatively low catalyst loadings and relatively low overall pressure (125 bar) with rhodium losses <1 ppm, but the catalyst precipitates at higher catalyst loadings, leading to lower reaction rates. [OMIM][ TPPMS] is the most soluble ligand and promotes high reaction rates, although preliminary experiments suggested that rhodium leaching was high at 5-10 ppm. Optimisation aimed at balancing flows so that the level within the reactor remained constant involved a reactor set up based around a reactor fitted with a sight glass and sparging stirrer with the CO2 being fed by a cooled head HPLC pump, 1-octene by a standard HPLC pump and CO/H-2 through a mass flow controller. The pressure was controlled by a back pressure regulator. Using this set up, [OMIM][ TPPMS] as the ligand and a total pressure of 140 bar, it was possible to control the level within the reactor and obtain a turnover frequency of ca. 180 h(-1). Rhodium losses in the optimised system were 100 ppb. Transport studies showed that 1-octene is preferentially transported over the aldehydes at all pressures, although the difference in mol fraction in the mobile phase was less at lower pressures. Nonanal in the mobile phase suppresses the extraction of 1-octene to some extent, so it is better to operate at high conversion and low pressure to optimise the extraction of the products relative to the substrate. CO and H2 in the mobile phase also suppress the extraction effciency by as much as 80%.

Homogeneous habitat can meet the discrete and varied resource requirements of hares but may set an ecological trap

In common with other farmland species, hares (Lepus spp.) are in widespread decline in agricultural landscapes due to agricultural intensification and habitat loss. We examined the importance of habitat heterogeneity to the Irish hare (Lepus timidus hibernicus) in a pastoral landscape. We used radio-tracking during nocturnal active and diurnal inactive periods throughout one year. In autumn, winter and spring, hares occupied a heterogeneous combination of improved grassland, providing food, and Juncus-dominated rough pasture, providing refuge. In summer, hares significantly increased their use of improved grassland. This homogeneous habitat can fulfil the discrete and varied resource requirements of hares for feeding and shelter at certain times of year. However, improved grassland may be a risky habitat for hares as silage harvesting occurs during their peak birthing period of late spring and early summer. We therefore posit the existence of a putative ecological trap inherent to a homogeneous habitat of perceived high value that satisfies the hares' habitat requirements but which presents risks at a critical time of year. To test this hypothesis in relation to hare populations, work is required to provide data on differential leveret mortality between habitat types.

Both English and Latin: Bilingualism and Biculturalism in Milton's Neo-Latin Writings (219pp.)

Review by Emma A. Wilson, Milton Quarterly 49.1 (March, 2015), 54-59:

‘This volume provides an invaluable new perspective on both Milton’s neo-Latin poems and also the major vernacular poetry by insisting politely but firmly upon the bilingualism of their author and the manifest effects of that bilingualism upon style and intertextuality in his corpus. Through a dextrous combination of manuscript research, modern understandings of bilingualism, and crucially meticulous and demanding close readings, this volume succeeds in vivifying a wealth of new relationships between Milton’s neo-Latin works and his vernacular poems … Haan is expert in probing and elucidating the multiple linguistic and cultural lenses through which Milton projects his work, and the resulting volume brings a new set of historical contexts and consequences for both the major and minor texts, whilst also more importantly furnishing an exciting new method with which to approach these works as a whole ... Haan's linguistic expertise and meticulous archival research combine to create a critical work in which discoveries gradually accumulate and speak to one another in very specific, nuanced dialogues between chapters ... opening up exciting new reading vistas ... The final two chapters, in which Haan harvests some of the fruits of her considerable and fantastic labor in the archives and in current linguistic research into bilingualism, bring to light fresh perspectives on some of Milton's major published poetic works.’


Both English and Latin: Bilingualism and Biculturalism in Milton’s Neo-Latin Writings (2012) (Back Cover):

Gordon Campbell, University of Leicester:
‘Estelle Haan is the world’s foremost authority on Milton’s Latin poetry, and probably the most distinguished student of that poetry in the history of critical commentary. This is a work of extraordinary authority written by a scholar at the height of her powers. In short, this is a terrific book, elegant and informative.’

Anne Mahoney, Tufts University:
‘This book ssucceeds in presenting Milton's poetry as a single, unified body of work. Its biggest strength is the many close readings of Milton's Latin verse as engagements with classical Latin literature. In addition to introducing the Latin verse to new readers, it provides a new approach to Paradise Lost, one that accounts for one of the difficulties of Milton’s text—its language—in a novel way.’


Abstract:

Both English and Latin examines the interplay of Latin and English in a selection of John Milton's neo-Latin writings. It argues that this interplay is indicative of an inherent bilingualism that proceeds hand-in-hand with a self-fashioning that is bicultural in essence. Interlingual flexibility ultimately proved central to the poet of Paradise Lost, an epic uniquely characterized by its Latinate vernacular and its vernacular Latinitas.

CsF and alumina: A mixed homogeneous-heterogeneous catalytic system for the transesterification of sunflower oil with methanol

The activity and nature (i e heterogeneous and/or homogeneous) of catalysts based on CsF supported on alpha-Al2O3 were investigated for the transesterification of vegetable oil with methanol. The effect of the activation temperature, CsF loading and the reusability in a recirculating reactor were first studied CsF/alpha-Al2O3 exhibited the highest activity for a CsF loading of 0 6 mmol/g and when activated at 120 degrees C An important aspect of this study is the effect of CsF leaching into the reaction mixture, which is attributed to the high solubility of CsF in methanol, leading to a complete loss of activity after one run It was Identified that the activity of the catalyst resulted from a synergy between alumina and dissolved CsF, the presence of both compounds being absolutely necessary to observe any conversion The use of an alumina with a higher surface area resulted in a far greater reaction rate, showing that the concentration of surface site on the oxide (probably surface hydroxyl) was rate-limiting in the case of the experiments using the low surface area alpha-Al2O3 This work emphasizes that combined homogeneous-heterogeneous catalytic systems made from the blending of the respective catalysts can be used to obtain high conversion of vegetable oil to biodiesel. Despite the homogeneous/heterogeneous dual character, such a catalytic system may prove valuable in developing a simple and cost-effective continuous catalytic process for biodiesel production (C) 2010 Elsevier B V All rights reserved

Three-dimensional pattern formation, multiple homogeneous soft modes, and nonlinear dielectric electroconvection

Patterns forming spontaneously in extended, three-dimensional, dissipative systems are likely to excite several homogeneous soft modes (approximate to hydrodynamic modes) of the underlying physical system, much more than quasi-one- (1D) and two-dimensional (2D) patterns are. The reason is the lack of damping boundaries. This paper compares two analytic techniques to derive the pattern dynamics from hydrodynamics, which are usually equivalent but lead to different results when applied to multiple homogeneous soft modes. Dielectric electroconvection in nematic liquid crystals is introduced as a model for 3D pattern formation. The 3D pattern dynamics including soft modes are derived. For slabs of large but finite thickness the description is reduced further to a 2D one. It is argued that the range of validity of 2D descriptions is limited to a very small region above threshold. The transition from 2D to 3D pattern dynamics is discussed. Experimentally testable predictions for the stable range of ideal patterns and the electric Nusselt numbers are made. For most results analytic approximations in terms of material parameters are given. [S1063-651X(00)09512-X].

Entrapping homogeneous catalysts by sol-gel methods: the bottom-up synthesis of catalysts that recycle and cascade

Perspective and front cover article: Homogeneous catalysts entrapped in silica matrices, including ionic liquid containing 'ionogels', exhibit high selectivity, unexpected activity and excellent recyclability.

'Neo-Latin Writing in the British Isles'

This chapter seeks to identify cultural and generic trends and authorial methodologies that may serve to unify or to differentiate between the histories of neo-Latin literature in England, Scotland, Wales and Ireland. It considers ways in which Latin served to bridge horizontal spaces (both physical and metaphorical) between four British regions, between neo-Latin writers in Britain and their continental predecessors and peers, and between Latin and the respective vernacular(s). It also examines vertical spaces (both chronological and cultural) between the neo-Latin and the classical Latin text, and between the linear demarcations of ‘early modern’, ‘Augustan’ and ‘Romantic’. An assessment of links between nationhood and the neo-Latin text as evinced by anthologies, antiquarian and quasi-historical writing, is followed by examples of generic continuity and metamorphosis in the British neo-Latin pastoral, ode and epigram. The concluding sections offer two generic case-studies (neo-Latin epic and didactic) both of which, it is argued, engendered the birth of specifically British versions of the mock-heroic and mock-didactic.