Spectral asymmetry of the massless Dirac operator on a 3-torus

Consider the massless Dirac operator on a 3-torus equipped with Euclidean metric and standard spin structure. It is known that the eigenvalues can be calculated explicitly: the spectrum is symmetric about zero and zero itself is a double eigenvalue. The aim of the paper is to develop a perturbation theory for the eigenvalue with smallest modulus with respect to perturbations of the metric. Here the application of perturbation techniques is hindered by the fact that eigenvalues of the massless Dirac operator have even multiplicity, which is a consequence of this operator commuting with the antilinear operator of charge conjugation (a peculiar feature of dimension 3). We derive an asymptotic formula for the eigenvalue with smallest modulus for arbitrary perturbations of the metric and present two particular families of Riemannian metrics for which the eigenvalue with smallest modulus can be evaluated explicitly. We also establish a relation between our asymptotic formula and the eta invariant.

The description of stencilling by Gilles Filleau des Billettes: transcription and translation

This article presents the description of stencilling by Gilles Filleau des Billettes. The description sets out a method for stencilling letters, words, and texts, and specifies equipment for doing the work; it forms the basis for a reconstruction of the equipment and method, which is presented in a parallel article in this volume of Typography papers (see E. Kindel, 'A reconstruction of stencilling based on the description by Gilles Filleau des Billettes', Typography papers, 9, pp. 28–65). The original French text, approximately 10,000 words in length, is here transcribed and accompanied by a parallel English translation. Introductory notes on the preparation of both texts are provided; images of stencil letters found among the papers of Sébastien Truchet, Des Billettes’s colleague, are shown in an appendix.

Eigenvalues of a one-dimensional Dirac operator pencil

We study the spectrum of a one-dimensional Dirac operator pencil, with a coupling constant in front of the potential considered as the spectral parameter. Motivated by recent investigations of graphene waveguides, we focus on the values of the coupling constant for which the kernel of the Dirac operator contains a square integrable function. In physics literature such a function is called a confined zero mode. Several results on the asymptotic distribution of coupling constants giving rise to zero modes are obtained. In particular, we show that this distribution depends in a subtle way on the sign variation and the presence of gaps in the potential. Surprisingly, it also depends on the arithmetic properties of certain quantities determined by the potential. We further observe that variable sign potentials may produce complex eigenvalues of the operator pencil. Some examples and numerical calculations illustrating these phenomena are presented.

A decade of plant proteomics and mass spectrometry: translation of technical advancements to food security and safety issues

Tremendous progress in plant proteomics driven by mass spectrometry (MS) techniques has been made since 2000 when few proteomics reports were published and plant proteomics was in its infancy. These achievements include the refinement of existing techniques and the search for new techniques to address food security, safety, and health issues. It is projected that in 2050, the world’s population will reach 9–12 billion people demanding a food production increase of 34–70% (FAO, 2009) from today’s food production. Provision of food in a sustainable and environmentally committed manner for such a demand without threatening natural resources, requires that agricultural production increases significantly and that postharvest handling and food manufacturing systems become more efficient requiring lower energy expenditure, a decrease in postharvest losses, less waste generation and food with longer shelf life. There is also a need to look for alternative protein sources to animal based (i.e., plant based) to be able to fulfill the increase in protein demands by 2050. Thus, plant biology has a critical role to play as a science capable of addressing such challenges. In this review, we discuss proteomics especially MS, as a platform, being utilized in plant biology research for the past 10 years having the potential to expedite the process of understanding plant biology for human benefits. The increasing application of proteomics technologies in food security, analysis, and safety is emphasized in this review. But, we are aware that no unique approach/technology is capable to address the global food issues. Proteomics-generated information/resources must be integrated and correlated with other omics-based approaches, information, and conventional programs to ensure sufficient food and resources for human development now and in the future.

Foreign credit: travel writing and authenticity in the dutch translation of The memoirs and travels of Mauritius Augustus, Count de Benyowsky (1790)

This article explores the translation and reception of the Memoirs and Travels (1790) of Count Mauritius Augustus Benyowsky (1746-86) in the Netherlands, and examines the complications, tensions and problems that transfer between a major and a more minor European language involves. I analyse how the Dutch translator Petrus Loosjes Adriaanszoon positioned himself as a mediator between these very different source and target cultures and ask how he dealt with the problems of plausibility and ‘credit’ which had beleaguered the reception of the Memoirs and Travels from the outset. In this article I am concerned to restore minority languages to the discussion of how travel literature circulated in Western Europe at the close of the eighteenth century and to demonstrate how major/minor language translation was central to the construction of Dutch-language culture in the Low Countries in this period.

Type-1 error inflation in the traditional by-participant analysis to metamemory accuracy: a generalized mixed-effects model perspective

In order to examine metacognitive accuracy (i.e., the relationship between metacognitive judgment and memory performance), researchers often rely on by-participant analysis, where metacognitive accuracy (e.g., resolution, as measured by the gamma coefficient or signal detection measures) is computed for each participant and the computed values are entered into group-level statistical tests such as the t-test. In the current work, we argue that the by-participant analysis, regardless of the accuracy measurements used, would produce a substantial inflation of Type-1 error rates, when a random item effect is present. A mixed-effects model is proposed as a way to effectively address the issue, and our simulation studies examining Type-1 error rates indeed showed superior performance of mixed-effects model analysis as compared to the conventional by-participant analysis. We also present real data applications to illustrate further strengths of mixed-effects model analysis. Our findings imply that caution is needed when using the by-participant analysis, and recommend the mixed-effects model analysis.

Translation and usability of autism screening and diagnostic tools for autism spectrum conditions in India

There is a critical need for screening and diagnostic tools (SDT) for autism spectrum conditions (ASC) in regional languages in South Asia. To address this, we translated four widely used SDT (Social Communication Disorder Checklist, Autism Spectrum Quotient, Social Communication Questionnaire, and Autism Diagnostic Observation Schedule) into Bengali and Hindi, two main regional languages (∼ 360 million speakers), and tested their usability in children with and without ASC. We found a significant difference in scores between children with ASC (n = 45 in Bengali, n = 40 in Hindi) and typically developing children (n = 43 in Bengali, n = 42 in Hindi) on all SDTs. These results demonstrate that these SDTs are usable in South Asia, and constitute an important resource for epidemiology research and clinical diagnosis in the region.

"Just as fragments are part of a vessel": a translation into medieval Occitan of the life of Alexander the Great

This article examines a 14th-c. translation into Old Occitan prose of a late-antique life of Alexander the Great: Justin’s Epitome of the 'Historia Philippicae' of Pompeius Trogus. The article argues that it is the work of translators whose knowledge of pagan Latin materials was incomplete and whose use of their native tongue rested on non-literary bases. This text has not been edited before, and examining its uneven treatment of its source provides important new insights into the work of translators in the later Middle Ages. In conclusion, the article suggests some new approaches to the understanding of translation as a process of reconstruction and adaptation.

The full infinite dimensional moment problem on semi-algebraic sets of generalized functions

We consider a generic basic semi-algebraic subset S of the space of generalized functions, that is a set given by (not necessarily countably many) polynomial constraints. We derive necessary and sufficient conditions for an infinite sequence of generalized functions to be realizable on S, namely to be the moment sequence of a finite measure concentrated on S. Our approach combines the classical results about the moment problem on nuclear spaces with the techniques recently developed to treat the moment problem on basic semi-algebraic sets of Rd. In this way, we determine realizability conditions that can be more easily verified than the well-known Haviland type conditions. Our result completely characterizes the support of the realizing measure in terms of its moments. As concrete examples of semi-algebraic sets of generalized functions, we consider the set of all Radon measures and the set of all the measures having bounded Radon–Nikodym density w.r.t. the Lebesgue measure.

The Devil’s Daughters and a question of translation between Occitan and Anglo-Norman French: ‘De las .vii. filhas del diable’ (British Library Add. MS 17920).

The evidence for vernacular-to-vernacular translation is hard to demonstrate in medieval Romance languages. This article analyses a hypothesis published a century ago that there is an identifiable Anglo-Norman source for an Occitan prose text. Both texts spring from a Latin exemplum in which the seven capital vices are personified as the Devil's daughters, married off to seven social categories (the clergy, knights, peasants, etc.). Although the hypothesis is disproved, it remains that the dialogue between Anglo-Norman French and Occitan has been overlooked, and deserves further exploration.

The Vida of Queen Fredegund in Tote Listoire de France: vernacular translation and genre in thirteenth-century French and Occitan literature

This article examines the role that translation may have played in the development of medieval vernacular literature. It analyses an extract of an early 13th-c. translation into a hybrid French-Occitan vernacular of an 8th-c. historical text, the 'Liber Historiae Francorum'. The translation coincides with the adoption of narrative prose both in Old French and in Occitan literature, which reflects a growing interest in historical writings. The second half of the article compares the anecdote with the narrative structures and content of one of the troubadour 'vidas' and 'razos' - biographical texts in prose that emerged in the same period and regions as this translation. The article concludes by suggesting that the new vernacular genre shares narrative features with the early medieval Latin text that are preserved in its translation.

Accurate delay analysis in prioritised wireless sensor networks for generalized packet arrival

This letter presents an accurate delay analysis in prioritised wireless sensor networks (WSN). The analysis is an enhancement of the existing analysis proposed by Choobkar and Dilmaghani, which is only applicable to the case where the lower priority nodes always have packets to send in the empty slots of the higher priority node. The proposed analysis is applicable for any pattern of packet arrival, which includes the general case where the lower priority nodes may or may not have packets to send in the empty slots of the higher priority nodes. Evaluation of both analyses showed that the proposed delay analysis has better accuracy over the full range of loads and provides an excellent match to simulation results.