In a recent series of papers, Poll and Schumann have been developing a simple model for estimating fuel burn for turbofan powered, civil transport aircraft for a given mass, Mach number and flight level and in a specified ambient temperature profile for all phases of flight. This paper focuses upon the combination of Mach number and flight level at which an aircraft cruises with the absolute minimum fuel burn. For a given aircraft type, the information necessary to determine these conditions must be specified and this poses a challenge. An initial attempt to obtain these data has been described previously by the first author. In this paper, the optimum conditions are found using a completely different approach. Starting from first principles and using established theory, the equations governing the situation where engine overall efficiency and airframe lift-to-drag ratio both have local maxima at the same flight condition are developed. This special case is termed the “design optimum” condition and, for a specified aircraft mass and a specified atmospheric temperature versus pressure profile, it gives the lowest possible fuel burn for any aircraft and engine combination. The design optimum occurs at a particular Mach number and Reynolds number, and it is a fixed characteristic of the aircraft. The analysis reveals the significance of Reynolds number variations, wave drag, including its derivatives with respect to both lift coefficient and Mach number, and the atmospheric properties. Whilst wave drag is notoriously difficult to determine accurately, it is found that solutions to the equations are not particularly sensitive to the accuracy of this quantity. Consequently, a simple, physically realistic model can give good results. An appropriate model is developed and a complete, approximate solution is obtained. Taking the International Standard Atmosphere as the design atmosphere, results are presented for the 53 aircraft types previously considered by Poll and Schumann. Relative to the design optimum conditions, when Reynolds number is constant and wave drag is zero, compressibility alone reduces L/D by about 5%, reduces lift coefficient by about 1.5% and increases drag coefficient by about 3.5%. Reynolds number variation has little effect upon L/D, but it reduces lift coefficient and drag coefficient by a further 7% and 8% respectively. The reduction in lift coefficient has a significant impact on the optimum cruise flight level.

In general, an aircraft’s operating optimum will not coincide with its design optimum, but deviations are expected to be small. Therefore, using the design optimum solution as a reference point, an improved version of the operating optimum estimation method described by Poll and Schumann in previous work is developed. This allows the estimation of the conditions for absolute minimum fuel burn for an aircraft of given mass flying thorough any atmosphere. Updated coefficients for the 53 aircraft types are given.

‘The Sequence on the Virgin Mary and Christ’, by the poet and martyr St Robert Southwell, S.J. (1561–95), is a beautiful work that is generally still undervalued. The sequence explores the physical, moral, and emotional unity of Mary and her Son in the work of our salvation. The larger context is the Protestant devaluing of hyperdulia. In its historical moment – it was written sometime in the 1580s – it is a subtle exploration of the theme of kenosis and of what a ‘prince’ or ‘queen’ should really be. While being relatively inexplicit, Southwell seems to poise the Virgin Mary against that other ‘empress’, Elizabeth I, and writes with intimacy from the perspective of his own self-understanding as ‘Beatae Virginis filius’ (a son of the Blessed Virgin). The sequence’s modern, editorial title needs to be replaced with one that matches its devotional aims and content. As he faced up to the almost certain prospect of his own martyrdom, Southwell looked to Mary as true mother and queen to sustain him in his sacrifice.

This research was carried out in north-central Poland, which was occupied by the ice sheet of the Saalian (Marine Isotope Stage [MIS] 6) and Upper Stadial of the Weichselian (MIS 2) glaciation. The application of the anisotropy of magnetic susceptibility (AMS) method supported by a digital elevation model (DEM) analysis of the orientation of glacial landforms allowed for the reconstruction of ice-sheet extent and ice movement directions of these two Pleistocene glaciations. The research used an innovative method of collecting AMS till samples from the glacial plateau areas. Based on the research, it was found that during the general recession of the ice sheet of the Saalian glaciation, a previously undescribed glacial transgression occurred, characterized by a different direction of ice-sheet movement. On the basis of detailed geomorphological studies of the area of terminal moraines, previously described in fragments, the maximum extent of the ice sheet during the Weichselian glaciation was clarified. The recession of the ice sheet of the Weichselian glaciation from the area of north-central Poland took place in four regressive or transgressive–regressive stages with variable directions of ice-sheet movement. The results obtained indicate the great potential of the AMS method in paleoenvironmental studies of glaciated areas.

In 2021, the first-ever Ukrainian business and human rights strategy and action plan were approved. Although a positive political shift, the Government-led endevour failed dismally. This piece explores the drafting process and content of the policy in question, its many shortcomings and the possible way forward as business and human rights becomes even more pressing matter in times of war and in post-conflict context.

Historic species records of the families Onuphidae and Eunicidae, from the Falkland Islands region, are reviewed and updated, new records added from intertidal and nearshore localities on and around the Falkland Islands, and a new species of Hyalinoecia described. Eight genera are reported from around the region including eight taxa of Onuphidae and two of Eunicidae, although most are only known from deep offshore waters. Kinbergonuphis dorsalis is re-described from type material, Kinbergonuphis sp. from the Falkland Islands is described and discrepancies between the two descriptions are examined. Hyalinoecia falklandica sp. nov. is described and the history of the genus and its misidentification in the region is discussed. The new species is distinguished from all other species in the genus through a combination of simple, unidentate falcigers on chaetigers 1 and 2, ventral cirri present to chaetigers 3 or 4, and branchiae present from chaetigers 26 or 27 to the end of the body. The historic record of Marphysa aenea from the Falkland Islands is also shown to be a misidentification and the actual, as-yet-undetermined species present is described. Problems surrounding a correct identification of Marphysa species, other species that do not quite fit current descriptions, and additional Eunicoidea taxa that might be expected to occur in the region are also discussed.

We show that perfectoidization can be (almost) calculated by using p-root closure in certain cases, including the semiperfectoid case. To do this, we focus on the universality of perfectoidizations and uniform completions, as well as the p-root closed property of integral perfectoid rings. Through this calculation, we establish a connection between a classical closure operation “p-root closure” used by Roberts in mixed characteristic commutative algebra and a more recent concept of “perfectoidization” introduced by Bhatt and Scholze in their theory of prismatic cohomology.

The final intonation in French wh-in-situ questions is subject to much debate. Although a wide variety of final pitch movements has been observed, recent studies generally agree on a tendency for final rises. In our study, we analysed the answered wh-in-situ questions (e.g. Tu veux savoir quoi ? – Tout ! ‘What do you want to know? – Everything!’) in a corpus of eleven audio books.

For our analysis, we used perceptual classifications by three annotators. Annotations included not only the perception of final intonational movement (‘rise’/‘fall’/‘plateau’), but also string-related (wh-lexeme; ‘wh-word final’/‘wh-word non-final’) and pragmatic (‘information-seeking’/‘non-information-seeking’; ‘hierarchical’/‘non-hierarchical’) features.

Our results show that a) even string-identical wh-in-situ questions can be pronounced with rises as well as falls and b) pragmatics affect the final pitch movement. If the speaker is hierarchically superior to the hearer, rises are less likely, and questions that are answered by the same speaker are even associated with a non-rising default. However, our data also suggest that pragmatic functions cannot be directly mapped to pitch movement. Information-seeking questions can be pronounced with all three final intonations and speakers may even choose opposite patterns for the same interrogative in the same context.

Parents’ responses to their children’s negative emotions are a central aspect of emotion socialization that have well-established associations with the development of psychopathology. Yet research is lacking on potential bidirectional associations between parental responses and youth symptoms that may unfold over time. Further, additional research is needed on sociocultural factors that may be related to the trajectories of these constructs. In this study, we examined associations between trajectories of parental responses to negative emotions and adolescent internalizing symptoms and the potential role of youth sex and racial identity. Adolescents and caregivers (N = 256) completed six assessments that spanned adolescent ages 13–18 years. Multivariate growth models revealed that adolescents with higher internalizing symptoms at baseline experienced increasingly non-supportive parental responses over time (punitive and distress responses). By contrast, parental responses did not predict initial levels of or changes in internalizing symptoms. Parents of Black youth reported higher minimization and emotion-focused responses and lower distress responses compared to parents of White youth. We found minimal evidence for sex differences in parental responses. Internalizing symptoms in early adolescence had enduring effects on parental responses to distress, suggesting that adolescents may play an active role in shaping their emotion socialization developmental context.

In this paper, the authors explore the question of whether cognitive enhancement via direct neurostimulation, such as through deep brain stimulation, could be reasonably characterized as a form of transformative experience. This question is inspired by a qualitative study being conducted with people at risk of developing dementia and in intimate relationships with people living with dementia (PLWD). They apply L.A. Paul’s work on transformative experience to the question of cognitive enhancement and explore potential limitations on the kind of claims that can legitimately be made about individual well-being and flourishing, as well as limit the kind of empirical work—including the authors’ own—that can hope to enlighten ethical discourse. In this paper, the authors advance the following theses: (1) it is sometimes reasonable to characterize cognitive enhancement as a transformative experience; (2) the testimonies of people intimately acquainted with dementia may still be relevant to evaluating cognitive enhancement even though cognitive enhancement may be a transformative experience; and (3) qualitative studies may still be useful in the ethical analysis of cognitive enhancement, but special attention may need to be given to how these are conducted and what kind of insights can be drawn from them.

This article concerns the role of covenant in early rabbinic literature in relation to biblical and especially Second Temple-era predecessors. The first part establishes that the Qumran sectarians and earlier circles were drawn to the concept of covenant because it represented, especially through the mechanism of covenant renewal, a powerful tool for defining and supporting group identity. The second part shows that for the rabbis, the importance of covenant lay chiefly, instead, in its capacity to conceptualize the notion of Israel as a collective body defined by corporate responsibility. The third part suggests that this novel deployment of covenant arose in part to counter the individuating force of halakah as law, another innovation of the rabbis.

The purpose of this paper is to (a) develop a comprehensive understanding of the relationships between person–environment (PE) fit and employee engagement by shedding light on their intervening mechanisms; (b) represent how different types of PE fit and employee engagement interact; and (c) establish a comprehensive theoretical framework to guide future research based on the empirically examined constructs and their relationships. An integrative literature review of 51 empirical papers which analyzed the relationship between PE fit and employee engagement suggests that the antecedents of the relationship exist at the organizational, group, and individual levels and can be conceptualized as socialization, relationship building, and personal character, respectively; values–supplies fit, needs–supplies fit, and demands–abilities fit act as intervening mechanisms in the relationship; the relationship is temporal, reciprocal, and facilitated by human agency; and various outcomes result from the relationship. Implications for future research and practice are also discussed.