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Let G be a Baumslag–Solitar group. We calculate the intersection $\gamma_{\omega}(G)$ of all terms of the lower central series of G. Using this, we show that $[\gamma_{\omega}(G),G]=\gamma_{\omega}(G)$, thus answering a question of Bardakov and Neschadim [1]. For any $c \in \mathbb{N}$, with $c \geq 2$, we show, by using Lie algebra methods, that the quotient group $\gamma_{c}(G)/\gamma_{c+1}(G)$ of the lower central series of G is finite.
The perturbations existing on a breaking wavefront can be a potential explanation for the slamming pressure variability in wave impacts. Here, we investigate the effect of these perturbations by forced vertical slamming of a two-dimensional circular cylinder with constant downward velocity on standing waves. Through experimental modelling and numerical simulation, the slamming force is measured for several standing wave amplitudes and wavelengths. The standing wave phase is tuned such that the impact occurs symmetrically at the instant of maximum crest or trough. Our observations show that slamming coefficients vary with the standing wave amplitude when the wavelength is kept constant and vice versa. The trough impact slamming coefficient can be more than two times the flat impact, and up to four times the crest impact. The experimental results are reproduced by numerical simulations and they agree reasonably well in general. Two analytical approaches based on the von Kármán (NACA, vol. 321, 1929, pp. 1–8) and Wagner (Z. Angew. Math. Mech., vol. 12, 1932, pp. 913–215) methods, which consider the effect of water surface curvature, are introduced. The slamming coefficient calculated from these methods can provide a bound in which the slamming coefficient can be found for each standing wave amplitude and wavelength. Further insight is achieved by numerical simulations of impact on the shorter wavelength to diameter ratio of $0.05<\lambda /D<0.4$. As the wavelength to diameter ratio becomes smaller, the cylinder impacts the water surface at several locations. As a result, multiple peaks occur, and the trapped air at different locations between the cylinder and the water surface yields oscillations with different frequencies on the slamming coefficient time history.
In this work, we investigate the characteristics of wind turbine wakes for three different blade designs (i.e. the NREL-Ori, NREL-Root and NREL-Tip designs, where the NREL-Ori refers to the baseline offshore 5 MW wind turbine designed by the US National Renewable Energy Laboratory) under turbulent inflows using large-eddy simulations with the actuator surface model. The load on the blade is higher near the blade root/tip for the NREL-Root/NREL-Tip designs when compared with the NREL-Ori design, while their thrust coefficients are the same. The results show that the blade designs influence the velocity deficit in the near wake, turbulence kinetic energy and wake meandering (both amplitude and frequency). In the near-wake region, the magnitude of the velocity deficit from the NREL-Root design is higher. As for the turbulence kinetic energy, its maximum in the near wake is higher for the NREL-Tip design, while in the far wake, it is higher for the NREL-Root design. Analyses of the instantaneous spanwise wake centre positions show higher meandering amplitude for the NREL-Root design, with the magnitudes of the low-frequency components approximately the same as the other two designs under the same inflow. The dominant meandering frequencies from different designs are different, with lower values for the NREL-Root design for which the vortex structures near the hub of low frequency play leading roles, and higher values for the NREL-Tip design for which the flow structures of high frequency in the tip shear layer are more important.
Numerous studies have investigated the kinds of verbs that can be used with there constructions. Generally, only existence and appearance verbs can occur in there constructions. However, some cases have been observed involving verbs not lexically expressing existence or appearance. This study focuses on there sentences with the verb become which are noteworthy in the following two respects. First, although the verb become is not an existence or appearance verb but a change-of-state verb, the verb is felicitously used with there constructions. Second, become is used without an adjectival or nominal complement, a unique argument realization pattern of the verb not found in other syntactic contexts. This study, based on a detailed examination of actual data in corpora, claims that there sentences with become express the appearance/occurrence of an entity. Although the postverbal noun is structurally a subject in there constructions and the subject of the verb become is usually interpreted as an entity undergoing a change, the postverbal noun of there sentences with become is an entity that has arisen as a result of the changing event.
This paper argues that Aristotelian ethical naturalism can combine two commitments that are often held to be incompatible: (a) a commitment to a strong form of ethical objectivity and (b) a thoroughgoing historicism about ethical value. The notions of species and life-form invoked by ethical naturalism do not, I argue, rely upon an ahistorical picture of human nature. I develop this idea by building upon Philippa Foot's defence of ethical naturalism in Natural Goodness. I go on to argue that linguistic changes in the ways we articulate the conditions of human flourishing can be understood, in some cases, as transforming those very conditions.
Late-life divorce is increasingly common in many Western countries, however, studies on this transition remain scarce. The purpose of this article is to study attributed reasons for late-life divorce, and if any life phase-typical aspects can be identified in these attributions. Qualitative interviews were carried out with Swedish men and women aged 62–82, who after the age of 60 had divorced from a cross-gender marital or non-marital co-habiting union (N = 37). The results, analysed using principles from Grounded Theory, revealed four different types of narratives: (a) incompatible goals for the third age, (b) personality change caused by age-related disease, (c) a last chance for romance, and (d) enough of inequality and abuse. A central insight and an original contribution generated by the study was the importance grey divorcees attributed to the existential conditions of later life in their divorce decisions. The results are discussed in relation to theories of late modern intimacy and the third age.
Este artículo analiza la arquitectura del período Clásico de Pahñú, un centro ceremonial en el noreste del valle del Mezquital, México. Esta arquitectura se distingue porque desarrolló un estilo local, integrando elementos de distintas tradiciones culturales. Por un lado, los conjuntos arquitectónicos de patio hundido siguen los estándares de la tradición del Bajío. Por otra parte, los edificios muestran rasgos de la arquitectura monumental teotihuacana y zapoteca. A partir de esta evidencia se concluye que Pahñú definió su identidad étnica estableciendo filiaciones políticas con las culturas del centro y el Bajío. Esta interpretación pone a prueba varias explicaciones previas que conciben el desarrollo regional durante el período Clásico como aculturación o resistencia a Teotihuacán. Asimismo, pone a prueba las interpretaciones que sostienen que la fusión cultural entre los grupos del centro y el Bajío comenzó hasta el Epiclásico. Finalmente, Pahñú es importante porque representa un pequeño centro político que mantuvo su liderazgo por unos seiscientos años, aprovechando su posición fronteriza entre el centro y el Bajío.
Standardized observation of bed baths and showers for 100 residents in 8 nursing homes revealed inadequate cleansing of body sites (88%–100% failure) and >90% process failure involving lather, firm massage, changing dirty wipes or cloths, and following clean-to-dirty sequence. Insufficient water warmth affected 86% of bathing opportunities. Bathing training and adequate resources are needed.
A migrant's journey is no linear trajectory from A to B. It is a fragmented and complex move over different regions with alternating periods of mobility and immobility. This article researches the complex dynamics of irregular migration from Iran to the Netherlands, and everywhere in between. Through a historical comparison of the life stories of Iranian asylum seekers in the Netherlands in two time periods (1988–1989 and 2009–2010), it studies the routes they took, their relations with human smugglers, and their interactions with immigration policies and border managements along the way. It shows migrants' and smugglers’ flexibility and capacity to adapt to ever-changing circumstances. Migration politics and border controls, along with their increasing limitations on legal migration channels, are indeed crucial in the understanding of irregular migration practices and the ever-growing involvement of facilitating services. Through a combination of this migration policy research and the migration trajectory research, the paper explores these dynamics and the interactions between migrants, smugglers, and state policies in every phase of their journey from Iran to the Netherlands, and everywhere in between.
The English particle verb alternation has been argued to be sensitive to the social role occupied by speakers on radio broadcasts; Kroch and Small (1978) argue that radio show hosts and in-studio guests’ greater sensitivity to prescriptive norms makes them more likely to use the joined variant of the alternation than listeners calling in to the show. This study analyzes 10,521 tokens of variable particle verbs from the RadioTalk Corpus (Beeferman et al. 2019) to try to replicate the effect of speaker role. Our analysis confirms that direct object length, register, a measure of frequency, semantic compositionality of the particle verb, and the particle's prosody all condition the alternation. However, the effect of social role does not replicate.
This article investigates how marginal individuals construct a productive self in an interview. It reports on a case study of three women—a squatter, a rough sleeper, and an Irish Traveller—who inhabit uncertain and threatened homes. In response to dominant discourses of productivity, in the interviews the speakers’ talk reflects the desire to be perceived as able and knowledgeable individuals. Thus, rejecting their marginal subjectivities, the three women propose profitable solutions to society's issues along the very same principles of productivity heralded by dominant society. Framed within a performative notion of identity, the study elaborates on the notion of a non-sexual desire as the trigger of most human actions. The results suggest that marginality is not a fixed and segregated state of being and the stereotype of individuals like those discussed in the study as passive and out of touch must be challenged. (Marginality, space, squatter, Irish Traveller, rough sleeper, desire/aspiration, epistemic and agentive self, neo-liberalism)*
My theoretical aim in this article is to focus on an examination of processual enactments of scale in light of the technological affordances that are currently at the disposal of a significant majority of humans. I offer the terms algorithmic scales and algorithmic scalar affordances to describe one activist's engagement of practical theories of scale—her ‘algorithmic imagination’ (Bucher 2017)—which led her to design her audience in ways intended to algorithmically scale up, or amplify, her activities on Facebook—to enhance their spread numerically, rapidly, and translocally, making use of the algorithmically constructed communicative possibilities or affordances available to her on the site. (Social media, scale, algorithms, audience design, Facebook, activism, nation, politics)