An introduction to the book and outline of its contents.

This chapter demonstrates the positive impact of the pedagogical intervention on students’ attitudes, expressed in their own words. It presents key highlights and recommendations, followed by an in-depth discussion. The sustained influence of the intervention on students’ engagement with lectures is revealed through their reflections, alongside insights into research supervisees’ experiences during their third-year projects.

Complex fluids can be found all around us, from molten plastics to mayonnaise, and understanding their highly nonlinear dynamics is the subject of much research.

This text introduces a common theoretical framework for understanding and predicting the flow behavior of complex fluids. This framework allows for results including a qualitative understanding of the relationship between a fluid’s behavior at the microscale of particles or macromolecules, and its macroscopic, viscoelastic properties. The author uses a microstructural approach to derive constitutive theories that remain simple enough to allow computational predictions of complicated macroscale flows.

Readers develop their intuition to learn how to approach the description of materials not covered in the book, as well as limits such as higher concentrations that require computational methods for microstructural analysis.

This monograph’s unique breadth and depth make it a valuable resource for researchers and graduate students in fluid mechanics.

Most regression methods estimate the mean of Y given X. But it can also be useful to estimate the quantiles of Y given X. This provides more information about the relationship between X and Y.

Turning from the pulpit to the courtroom, Chapter 4 demonstrates the centrality of frenzy to what would later come to be termed the ‘insanity defence’. The English common law had its own framework for classifying mental illness, one which ran parallel to the medical nosologies explored in Chapter 1. This chapter explores the different categories of ‘madness’ recognizsed by early modern common lawyers – partial versus total, continual versus intermittent – and shows where frenzy fitted within this framework. It then turns to look at how these theories were mobilized in a specific legal context: coroners’ inquests into unexplained drownings. Where suicide was suspected, it argues, a story about frenzy – told right – offered an escape route for suspects and their families. Crucial, here, was the issue of culpability: frantic persons could not be held accountable for what they did while their wits were impaired. Without the capacity for consent, crime was impossible.

In Chapter 3, we achieved speedup by reducing the precision used throughout the model using low-precision techniques. In this chapter, we introduce pruning, a method that transforms the model at a finer granularity to accelerate computation.

Now in its second edition, this handbook is a current overview of second language (L2) research, providing state-of-the-art synopses of recent developments in each subarea of the field and bringing together contributions by emerging scholars and experts in second language acquisition (SLA). Since the first edition, broad sociopolitical movements, alternative views of bilingualism, emergence of global markets, vast expansion of electronic resources, the development of social media and the availability of big data have transformed the discipline, and this edition has been thoroughly updated to address these changes. It is divided into six main parts: Part I situates SLA in terms of research and practice; Part II explores individual cognitive, age-related and neurolinguistic similarities and differences; Part III outlines external, sociocultural and interactive factors; Part IV presents profiles of bilinguals who take differing paths of acquisition; Part V describes interlanguage properties; and Part VI comprises clear models of L2 development.

In this chapter we turn our attention to the variety of possible embeddings. We consider here χ(W) and π1W, for W a complementary region of an embedding of M in S4.

Chapter 8 considers a radically different version of the dynamic explored in chs 6-7: the relationships between provincial governors and Christian communities across the Mediterranean world. For much of this period, these governors were outsiders with short terms of office, who relied heavily on resident office staffs and local grandees. Recent revisionist work on the Christianization of the Roman world has thus stressed the tendency of provincial appointees to prioritise those local elite interests over the demands of bishops and ascetics in the context of religious conflict. As Brent Shaw has put it, the governor could ‘give rather short shrift to a person whom they thought had no standing to intervene in the running of the state affairs over which they had authority’ (Shaw 2015, 58). In this chapter, I seek to modify this picture by suggesting that membership of the church and relationships with provincial Christian communities, institutions, and authority figures played a more significant role for governors than has been appreciated. In this sense, bishops and ascetics were, in fact, amongst the local interest groups whose collaboration these Christian appointees had to pursue.

This chapter examines the concept of recognition. It discusses the recognition of states in the light of the competing constitutive and declaratory theories and the differing views taken by states, together with the consequences of non-recognition internationally. This is followed by a reference to the recognition of governments in the light of doctrine and practice. Various kinds of recognition from de jure and de facto to premature, implied and collective recognition are noted as well as the withdrawal of recognition. The concept of non-recognition is referenced. The chapter then turns to the legal effects of recognition, both internationally and internally, including the relevance of state immunity and standing. UK practice is examined in the light of extensive case law. The chapter turns to US practice concerning the legal effects of recognition or non-recognition.

The class of Seifert manifolds is in many respects well understood, and has a natural parametrization in terms of Seifert data, and so we might expect criteria for embedding in terms of such data. We first review the notion of Seifert manifold and Seifert invariants. In this chapter we shall consider orientable Seifert manifolds which are Seifert fibred over orientable base orbifolds.