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Chapter 3 examines the various uses of Bank notes based on the Lost Note Books and other archival sources. Besides being used to buy goods and services, the Bank note frequently appeared in specific monetary transactions, making it a form of ‘special purpose currency’. The high value of Bank notes made them more likely to be used for round sums, such as paying employees’ wages. Paying wages for seamen and navy employees had a significant impact on the spread of Bank notes, expanding their user base geographically and socially. Other notable uses of Bank of England notes include interregional payments, rent and tax payments, which demonstrate how Bank notes became a special currency in Britain’s diverse monetary landscape. This chapter also highlights the different modes of Bank note use, particularly through social endorsement. Although not legally significant as in the case of bills of exchange, note users widely endorsed Bank notes during the Bank Restriction period. This social form of endorsement represented a sense of communal currency and the belief that note users played a role in generating monetary value.
In this chapter, we propose a boundedness conjecture for the regional fundamental group of klt singularities. We prove that this boundedness conjecture, the Zariski closedness of the diminished base locus of KX , and an upper bound for minimal log discrepancies imply the termination of flips with scaling. We prove the boundedness conjecture in the case of toric singularities, quotient singularities, isolated three-fold singularities, and exceptional singularities.
Chapter 6 analyses narrative representations of local women, who feature throughout UN mediation texts as ‘the women’. This subject position is multifaceted and articulated differently according to different logics of UN mediation. Especially within the logic of UN mediation as a science, ‘the women’ are expected to play a legitimating, information-providing role to support the UN. This is an extractive, rather than an empowering, relationship. UN narratives position ‘the women’s’ labour as central to mediation effectiveness, but they also question their abilities and authenticity as representatives of their communities. Capacity-building training is one method that the UN, and particularly gender advisors, use to discipline women into appropriate forms of participation. The logic of UN mediation as an art has less use for 'the women' in its narratives and instead questions whether they are 'political enough' to be appropriate representatives in negotiations. In turn, local women resist and navigate the subject position of ‘the women’ through strategic essentialism, critique, or opting out.
In this chapter it is argued that language discretely combines lexical items into dependency structures rather than recursively embedding syntactic objects into phrase structures. This must be the case if language is to be able to manage discrete infinity and specifiers. In particular it is argued that the ubiquity of subordinators and other subordinating elements in the languages of the world and the fact that these are obligatory in many contexts clearly show that language is not recursive embedding. If language were recursive embedding, the subordinators would be completely redundant, since the subordinate clauses would automatically be embedded under the predicates. Other potential functions of universal subordinators such as Germanic that are discussed and refuted. The chapter will discuss several cases in English, Swedish and German where the universal subordinator is needed to embed the clause, and cases where it is not needed but where other subordination strategies are employed instead. Furthermore, it will be shown that in those cases where the subordinator is omitted and there is no other subordinating strategy, the clauses become desubordinated.
Epilepsy requiring ongoing medical treatment is the most common neurologic disorder in pregnancy [1]. Data from a number of population-based studies estimate that maternal epilepsy is present in 0.3–1% of all pregnancies [2–7], the vast majority representing women with preexisting epilepsy, and a minority (2–10%) representing women with new-onset epilepsy during pregnancy [8, 9]. The incidence of antiseizure medication (ASM) use is estimated at 0.3–0.4% of all pregnancies, which includes those who are maintained on ASMs for neuropsychiatric disorders such as bipolar and schizoaffective disorders, a practice that has become more common in the past two decades [3–5, 10, 11].
Sijilmassi et al. claim that historical myths are technologies of recruitment that mimic cues of fitness interdependence. Paradoxically, they also claim that people are vigilant and that these myths might not and do not have to convince others, which raises questions about how these myths become culturally successful. Thinking about historical myths as commitment devices helps overcome this paradox.
The commentaries addressed various aspects of our account of historical myths. We respond by clarifying the evolutionary theory of coalitional psychology that underlies our claims (R1). This addresses concerns about the role of fitness interdependence in large groups (R2), cultural transmission processes (R3), alternative routes to nation-building (R4) and the role of proximal mechanisms (R5). Finally, we evaluate alternative theories (R6) and discuss directions for future research (R7).
Chapter 5 starts with the definitions of the note and the acoustics of sound production. Here, I first examine the acoustical underpinnings of the classical Greek writings on the subject and the impact they had on how the musical note was conceptualized. I then demonstrate that scholars of the medieval Islamic world approached their received wisdom with a skeptical eye and occasionally disagreed with their intellectual masters. These disagreements resulted in illuminating conversations about the nature of a musical note, how it should be differentiated from mere sound, and what role do acoustics of sound production play in these discussions.
Current practice in factor analysis typically involves analysis of correlation rather than covariance matrices. We study whether the standard z-statistic that evaluates whether a factor loading is statistically necessary is correctly applied in such situations and more generally when the variables being analyzed are arbitrarily rescaled. Effects of rescaling on estimated standard errors of factor loading estimates, and the consequent effect on z-statistics, are studied in three variants of the classical exploratory factor model under canonical, raw varimax, and normal varimax solutions. For models with analytical solutions we find that some of the standard errors as well as their estimates are scale equivariant, while others are invariant. For a model in which an analytical solution does not exist, we use an example to illustrate that neither the factor loading estimates nor the standard error estimates possess scale equivariance or invariance, implying that different conclusions could be obtained with different scalings. Together with the prior findings on parameter estimates, these results provide new guidance for a key statistical aspect of factor analysis.
The topic of this chapter is the deterministic (worst-case) theory of quantization. The main object of interest is the metric entropy of a set, which allows us to answer two key questions:
(1) covering number: the minimum number of points to cover a set up to a given accuracy;
(2) packing number: the maximal number of elements of a given set with a prescribed minimum pairwise distance.
The foundational theory of metric entropy was put forth by Kolmogorov, who, together with his students, also determined the behavior of metric entropy in a variety of problems for both finite and infinite dimensions. Kolmogorov’s original interest in this subject stems from Hilbert’s thirteenth problem, which concerns the possibility or impossibility of representing multivariable functions as compositions of functions of fewer variables. Metric entropy has found numerous connections to and applications in other fields, such as approximation theory, empirical processes, small-ball probability, mathematical statistics, and machine learning.
Recent advancements in Earth system science have been marked by the exponential increase in the availability of diverse, multivariate datasets characterised by moderate to high spatio-temporal resolutions. Earth System Data Cubes (ESDCs) have emerged as one suitable solution for transforming this flood of data into a simple yet robust data structure. ESDCs achieve this by organising data into an analysis-ready format aligned with a spatio-temporal grid, facilitating user-friendly analysis and diminishing the need for extensive technical data processing knowledge. Despite these significant benefits, the completion of the entire ESDC life cycle remains a challenging task. Obstacles are not only of a technical nature but also relate to domain-specific problems in Earth system research. There exist barriers to realising the full potential of data collections in light of novel cloud-based technologies, particularly in curating data tailored for specific application domains. These include transforming data to conform to a spatio-temporal grid with minimum distortions and managing complexities such as spatio-temporal autocorrelation issues. Addressing these challenges is pivotal for the effective application of Artificial Intelligence (AI) approaches. Furthermore, adhering to open science principles for data dissemination, reproducibility, visualisation, and reuse is crucial for fostering sustainable research. Overcoming these challenges offers a substantial opportunity to advance data-driven Earth system research, unlocking the full potential of an integrated, multidimensional view of Earth system processes. This is particularly true when such research is coupled with innovative research paradigms and technological progress.