Transreal calculus

Transreal arithmetic totalises real arithmetic by defining division by zero in terms of three definite, non-finite numbers: positive infinity, negative infinity and nullity. We describe the transreal tangent function and extend continuity and limits from the real domain to the transreal domain. With this preparation, we extend the real derivative to the transreal derivative and extend proper integration from the real domain to the transreal domain. Further, we extend improper integration of absolutely convergent functions from the real domain to the transreal domain. This demonstrates that transreal calculus contains real calculus and operates at singularities where real calculus fails.

HESS Opinions: On forecast (in)consistency in a hydro-meteorological chain: curse or blessing?

Flood forecasting increasingly relies on numerical weather prediction forecasts to achieve longer lead times. One of the key difficulties that is emerging in constructing a decision framework for these flood forecasts is what to dowhen consecutive forecasts are so different that they lead to different conclusions regarding the issuing of warnings or triggering other action. In this opinion paper we explore some of the issues surrounding such forecast inconsistency (also known as "Jumpiness", "Turning points", "Continuity" or number of "Swings"). In thsi opinion paper we define forecast inconsistency; discuss the reasons why forecasts might be inconsistent; how we should analyse inconsistency; and what we should do about it; how we should communicate it and whether it is a totally undesirable property. The property of consistency is increasingly emerging as a hot topic in many forecasting environments.

National experiences with insurgencies and counterinsurgencies: are there “National styles”?

There are clearly identifiable patterns in the way in which insurgents operate in certain geographic areas and cultures, and in which states deal with them. These have been stressed by writing about national "ways of war", strategic culture, or national styles. Nevertheless, there have been important ruptures and changes in some of these, so that for Britain, for example, three successive phases corresponding to patterns can be identified. For France, two pronounced rivaling traditions coincided over two centuries. Algerians by contrast changed fundamentally in their fighting style with the different political ideologies they were following. Palestinian insurgency against Israel is also marked by change in approach. Russia and China possibly show the longest continuity in their handling of insurgencies.

Convective updraught evaluation in high-resolution NWP simulations using single-Doppler radar measurements

This study presents an evaluation of the size and strength of convective updraughts in high-resolution simulations by the UK Met Office Unified Model (UM). Updraught velocities have been estimated from range–height indicator (RHI) Doppler velocity measurements using the Chilbolton advanced meteorological radar, as part of the Dynamical and Microphysical Evolution of Convective Storms (DYMECS) project. Based on mass continuity and the vertical integration of the observed radial convergence, vertical velocities tend to be underestimated for convective clouds due to the undetected cross-radial convergence. Velocity fields from the UM at a resolution corresponding to the radar observations are used to scale such estimates to mitigate the inherent biases. The analysis of more than 100 observed and simulated storms indicates that the horizontal scale of updraughts in simulations tend to decrease with grid length; the 200 m grid length agreed most closely with the observations. Typical updraught mass fluxes in the 500 m grid length simulations were up to an order of magnitude greater than observed, and greater still in the 1.5 km grid length simulations. The effect of increasing the mixing length in the sub-grid turbulence scheme depends on the grid length. For the 1.5 km simulations, updraughts were weakened though their horizontal scale remained largely unchanged. Progressively more so for the sub-kilometre grid lengths, updraughts were broadened and intensified; horizontal scale was now determined by the mixing length rather than the grid length. In general, simulated updraughts were found to weaken too quickly with height. The findings were supported by the analysis of the widths of reflectivity patterns in both the simulations and observations.

Caribbean Irish connections

There has been an Irish presence within the Caribbean since at least the 1620s and yet the historical and cultural dimensions of this encounter remain relatively under-researched and are often conceived of in reductive terms by crude markers such as redlegs or poor whites. While there are some striking reminders of this hitory throughout the region, this collection explores how the complications and contradictions of Irish Caribbean relations are much richer and deeper than previously recognized. Caribbean Irish Connections makes an important contribution to Irish studies by challenging the dominance of a US diasporic history and a disciplinary focus on cultural continuity and ancestry. Likewise, within Caribbean studies, the Irish presence troubles the orthodox historical models for understanding race and the plantation, race and class structures, as well as questions of ethnic and religious minorities. The contributors emphasize the importance of understanding the transatlantic nexus between Ireland and the Caribbean in terms of the shared historical experiences of dislocation, diaspora and colonization, as well as of direct encounter. This collection pays tribute to the extraordinarily rich tradition of cultural expression that informs both cultures and their imagination of each other.

Since we have been a dialogue: Blanchot's 'Entretiens'

At the turn of the 1960s, Maurice Blanchot began publishing texts that he named entretiens, this change in his writing responding to what deconstruction sees as the closure of logocentric or continuous discourse. Paradoxically, this closure does not prevent such discourse, in which philosophical enquiry and technological change are intertwined, from dominating the modern world. By changing his writing, and by reiterating the dialogical form so central to metaphysical tradition since Plato, Blanchot gives voice to the tensions between continuity and its ‘outside’, between philosophy and literature. This is one sense in which his entretiens do not engage in a representation of difference, but instead open themselves to the inflections of what Jean-Luc Nancy calls le partage des voix.

The heliospheric Hale cycle over the last 300 years and its implications for a “lost” late 18th century solar cycle

A Hale cycle, one complete magnetic cycle of the Sun, spans two complete Schwabe cycles (also referred to as sunspot and, more generally, solar cycles). The approximately 22-year Hale cycle is seen in magnetic polarities of both sunspots and polar fields, as well as in the intensity of galactic cosmic rays reaching Earth, with odd- and even-numbered solar cycles displaying qualitatively different waveforms. Correct numbering of solar cycles also underpins empirical cycle-to-cycle relations which are used as first-order tests of stellar dynamo models. There has been much debate about whether the unusually long solar cycle 4 (SC4), spanning- 1784–1799, was actually two shorter solar cycles combined as a result of poor data coverage in the original Wolf sunspot number record. Indeed, the group sunspot number does show a small increase around 1794–1799 and there is evidence of an increase in the mean latitude of sunspots at this time, suggesting the existence of a cycle ‘‘4b’’. In this study, we use cosmogenic radionuclide data and associated reconstructions of the heliospheric magnetic field (HMF) to show that the Hale cycle has persisted over the last 300 years and that data prior to 1800 are more consistent with cycle 4 being a single long cycle (the ‘‘no SC4b’’ scenario). We also investigate the effect of cycle 4b on the HMF using an open solar flux (OSF) continuity model, in which the OSF source term is related to sunspot number and the OSF loss term is determined by the heliospheric current sheet tilt, assumed to be a simple function of solar cycle phase. The results are surprising; Without SC4b, the HMF shows two distinct peaks in the 1784–1799 interval, while the addition of SC4b removes the secondary peak, as the OSF loss term acts in opposition to the later rise in sunspot number. The timing and magnitude of the main SC4 HMF peak is also significantly changed by the addition of SC4b. These results are compared with the cosmogenic isotope reconstructions of HMF and historical aurora records. These data marginally favour the existence of SC4b (the ‘‘SC4b’’ scenario), though the result is less certain than that based on the persistence of the Hale cycle. Thus while the current uncertainties in the observations preclude any definitive conclusions, the data favour the ‘‘no SC4b’’ scenario. Future improvements to cosmogenic isotope reconstructions of the HMF, through either improved modelling or additional ice cores from well-separated geographic locations, may enable questions of the existence of SC4b and the phase of Hale cycle prior to the Maunder minimum to be settled conclusively.

Greek printing outside Greece, from the 15th century to e-books

An exhibition of rare Greek printed books, with printed items dating from 1488 to recent decades, and rarely seen in one setting. This exhibition focuses on the typographic continuity of Greek literary culture.

Pragmatic solutions for syntactic problems: Understanding some L2 syntactic errors in terms of discourse-pragmatic deficits

Contemporary research in generative second language (L2) acquisition has attempted to address observable target-deviant aspects of L2 grammars within a UG-continuity framework (e.g. Lardiere 2000; Schwartz 2003; Sprouse 2004; Prévost & White 1999, 2000). With the aforementioned in mind, the independence of pragmatic and syntactic development, independently observed elsewhere (e.g. Grodzinsky & Reinhart 1993; Lust et al. 1986; Pacheco & Flynn 2005; Serratrice, Sorace & Paoli 2004), becomes particularly interesting. In what follows, I examine the resetting of the Null-Subject Parameter (NSP) for English learners of L2 Spanish. I argue that insensitivity to associated discoursepragmatic constraints on the discursive distribution of overt/null subjects accounts for what appear to be particular errors as a result of syntactic deficits. It is demonstrated that despite target-deviant performance, the majority must have native-like syntactic competence given their knowledge of the Overt Pronoun Constraint (Montalbetti 1984), a principle associated with the Spanish-type setting of the NSP.

Chinese overseas doctoral student narratives of intercultural adaptation

This study aims to explore how Chinese overseas doctoral students adjust to a different academic, social and cultural environment, using Giddens’ theoretical framework of self-identity (1991). The findings indicate the participants proactively used various coping strategies in meeting challenges, and adapting to new social environments. Continuity and stability of self-identity were achieved either culturally or academically through self-reflexivity, autonomy, creativity, authenticity, and reliance on an ontological identity. The result is to challenge the grand narrative of essentialised “problematic Chinese learners”.

Family language policy in the Chinese community in Singapore: a question of balance?

This paper focuses on the language shift phenomenon in Singapore as a consequence of the top-town policies. By looking at bilingual family language policies it examines the characteristics of Singapore’s multilingual nature and cultural diversity. Specifically, it looks at what languages are practiced and how family language policies are enacted in Singaporean English-Chinese bilingual families, and to what extend macro language policies – i.e. national and educational language policies influence and interact with family language policies. Involving 545 families and including parents and grandparents as participants, the study traces the trajectory of the policy history. Data sources include 2 parts: 1) a prescribed linguistic practices survey; and 2) participant observation of actual negotiation of FLP in face-to-face social interaction in bilingual English-Chinese families. The data provides valuable information on how family language policy is enacted and language practices are negotiated, and what linguistic practices have been changed and abandoned against the background of the Speaking Mandarin Campaign and the current bilingual policy implemented in the 1970s. Importantly, the detailed face-to-face interactions and linguistics practices are able to enhance our understanding of the subtleties and processes of language (dis)continuity in relation to policy interventions. The study also discusses the reality of language management measures in contrast to the government’s ‘separate bilingualism’ (Creese & Blackledge, 2011) expectations with regard to ‘striking a balance’ between Asian and Western culture (Curdt-Christiansen & Silver 2013; Shepherd, 2005) and between English and mother tongue languages (Curdt-Christiansen, 2014). Demonstrating how parents and children negotiate their family language policy through translanguaging or heteroglossia practices (Canagarajah, 2013; Garcia & Li Wei, 2014), this paper argues that ‘striking a balance’ as a political ideology places emphasis on discrete and separate notions of cultural and linguistic categorization and thus downplays the significant influences from historical, political and sociolinguistic contexts in which people find themselves. This simplistic view of culture and linguistic code will inevitably constrain individuals’ language expression as it regards code switching and translanguaging as delimited and incompetent language behaviour.

My generation(s): cycles, branding and renewal in E4’s 'Skins'

In an era of fragmenting audience and diversified viewing platforms, youth television needs to move fast and make a lot of noise in order to capture and maintain the attention of the teenage viewer. British ensemble youth drama Skins (E4, 2007-2013) calls attention to itself with its high doses of drugs, chaotic parties and casual attitudes towards sexuality. It also moves quickly, shedding its cast every two seasons as they graduate from school, then renewing itself with a fresh generation of 16 year old characters - three cycles in total. This essay will explore the challenges of maintaining audience connections whilst resetting the narrative clock with each cycle. I suggest that the development of the Skins brand was key to the programme’s success. Branding is particularly important for an audience demographic who increasingly consume their television outside of broadcast flow and essential for a programme which renews its cast every two years. The Skins brand operate as a framework, as the central audience draw, have the strength to maintain audience connections when it ‘graduates’ those characters they identify with at the close of each cycle and starts again from scratch. This essay will explore how the Skins brand constructs a cohesive identity across its multiple generations, yet also consider how the cyclic form poses challenges for the programme’s representations and narratives. This cyclic form allows Skins to repeatedly reach out to a new audience who comes of age alongside each new generation and to reflect shifts in British youth culture. Thus Skins remains ever-youthful, seeking to maintain an at times painfully hip identity. Yet the programme has a somewhat schizophrenic identity, torn between its roots in British realist drama and surrealist comedy and an escapist aspirational glamour that shows the influence of US Teen TV. This combination results in a tendency towards a heightened melodrama at odds with Skins claims for authenticity - its much vaunted teenage advisors and young writers - with the cyclic structure serving to amplify the programme’s excessive tendencies. Each cycle wrestles with a need for continuity and familiarity - partly maintained through brand, aesthetic and setting - yet a desire for freshness and originality, to assert difference from what has gone before. I suggest that the inevitable need for each cycle to ‘top’ what has gone before results in a move away from character-based intimacy and the everyday to high-stakes drama and violence which sits uncomfortably within British youth television.

Rethinking the Russian Revolution as historical divide

This monograph is the product of a series of workshops held in the UK and the USA, the premise of which was to suggest that 1917 is the wrong departure point for a full analysis of the social and cultural particularities of the Soviet Union. Breaking away from the binary of ‘change and continuity’, however, we asked how the new and the old (tradition and modernity) came together to make the Soviet experience ‘across 1917’. Building on these workshops, we have gathered 15 scholars from America, Europe, Russia, and the Middle East to contribute to this edition. This volume examines, among other things, the social and cultural frameworks that helped determine Soviet perceptions of social duty, justice, and governance.

MOLES3: implementing an ISO standards driven data catalogue

ISO19156 Observations and Measurements (O&M) provides a standardised framework for organising information about the collection of information about the environment. Here we describe the implementation of a specialisation of O&M for environmental data, the Metadata Objects for Linking Environmental Sciences (MOLES3). MOLES3 provides support for organising information about data, and for user navigation around data holdings. The implementation described here, “CEDA-MOLES”, also supports data management functions for the Centre for Environmental Data Archival, CEDA. The previous iteration of MOLES (MOLES2) saw active use over five years, being replaced by CEDA-MOLES in late 2014. During that period important lessons were learnt both about the information needed, as well as how to design and maintain the necessary information systems. In this paper we review the problems encountered in MOLES2; how and why CEDA-MOLES was developed and engineered; the migration of information holdings from MOLES2 to CEDA-MOLES; and, finally, provide an early assessment of MOLES3 (as implemented in CEDA-MOLES) and its limitations. Key drivers for the MOLES3 development included the necessity for improved data provenance, for further structured information to support ISO19115 discovery metadata export (for EU INSPIRE compliance), and to provide appropriate fixed landing pages for Digital Object Identifiers (DOIs) in the presence of evolving datasets. Key lessons learned included the importance of minimising information structure in free text fields, and the necessity to support as much agility in the information infrastructure as possible without compromising on maintainability both by those using the systems internally and externally (e.g. citing in to the information infrastructure), and those responsible for the systems themselves. The migration itself needed to ensure continuity of service and traceability of archived assets.

Institutional legacies and capabilities: work practices and employment relations in Portugal and Mozambique

This is a study of institutional change and continuity, comparing the trajectories followed by Mozambique and its formal colonial power Portugal in HRM, based on two surveys of firm level practices. The colonial power sought to extend the institutions of the metropole in the closing years of its rule, and despite all the adjustments and shocks that have accompanied Mozambique’s post-independence years, the country continues to retain institutional features and associated practices from the past. This suggests that there is a post-colonial impact on human resource management. The implications for HRM theory are that ambitious attempts at institutional substitution may have less dramatic effects than is commonly assumed. Indeed, we encountered remarkable similarities between the two countries in HRM practices, implying that features of supposedly fluid or less mature institutional frameworks (whether in Africa or the Mediterranean world) may be sustained for protracted periods of time, pressures to reform notwithstanding. This highlights the complexities of continuities which transcend formal rules; as post-colonial theories alert us, informal conventions and embedded discourse may result in the persistence of informal power and subordination, despite political and legal changes.