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A system of linear equations in $\mathbb {F}_p^n$ is Sidorenko if any subset of $\mathbb {F}_p^n$ contains at least as many solutions to the system as a random set of the same density, asymptotically as $n\to \infty $. A system of linear equations is common if any two-colouring of $\mathbb {F}_p^n$ yields at least as many monochromatic solutions to the system of equations as a random 2-colouring, asymptotically as $n\to \infty $. Both classification problems remain wide open despite recent attention.
We show that a certain generic family of systems of two linear equations is not Sidorenko. In fact, we show that systems in this family are not locally Sidorenko, and that systems in this family which do not contain additive tuples are not weakly locally Sidorenko. This endeavour answers a conjecture and question of Kamčev–Liebenau–Morrison. Insofar as methods, we observe that the true complexity of a linear system is not maintained under Fourier inversion; our main novelty is the use of higher-order methods in the frequency space of systems which have complexity one. We also give a shorter proof of the recent result of Kamčev–Liebenau–Morrison and independently Versteegen that any linear system containing a four-term arithmetic progression is uncommon.
Following Russia’s annexation of Crimea in 2014, the recent conflicts in Ukraine and the Middle East signal the return of geopolitics. This book challenges conventional approaches that ignore border change, arguing that geopolitics is driven by nationalism and focusing on how nationalism transforms the state. Using geocoded historical maps covering state borders and ethnic groups in Europe, the authors’ spatial approach shows how, since the French Revolution, nationalism has caused increasing congruence between state and national borders and how a lack of congruence increased the risk of armed conflict. This macro process is traced from early modern Europe and widens the geographic scope to the entire world in the mid twentieth century. The analysis shows that the risk of conflict may be increased by how nationalists, seeking to revive past golden ages and restore their nations’ prestige, respond to incongruent borders. This title is also available as Open Access on Cambridge Core.
Publicly funded international organizations have traditionally been cautious in engaging with the private sector. This contribution will study the different types of relationships of Gavi, the Vaccine Alliance – as a quasi-international organization – with the private sector. As illustrated, they are multi-faceted and relatively advanced. It will assess how the different types of interactions with the private sector have evolved over time and operate in practice. The contribution will also touch on how intergovernmental organizations that are members of the Alliance engage with the private sector as part of Gavi-funded activities. Some of those are complementary while for others intergovernmental organizations and private sector entities can be considered as alternatives.
This study examines how contested statehood is navigated in the ambit of the common participation in a multilateral treaty, focusing on a bilateral legal relationship between a non-recognizing state and an entity with disputed statehood. Using the case of Serbia and Kosovo, the research explores how a state that does not recognize another entity strategically navigates their shared participation in multilateral agreements. It analyses legal tools available to non-recognizing states to safeguard their national interests, including statements of non-recognition, objections to accession, engagement with treaty depositaries, and territorial clauses. The findings demonstrate that statements of exclusion are the most legally effective instrument for preventing the establishment of bilateral treaty relations while other mechanisms primarily serve the communicative function. The study highlights the dual role of international law, as both a legal framework governing treaties and a strategic tool for states to manage contested sovereignty within multilateral treaties.
The work of Félix Acuto encourages archaeologists to compromise more strongly when it comes to the praxis towards, with and for the Indigenous people. Understanding archaeology as a practice oriented by the political stance of decolonization, Acuto’s work promotes making it available – through its knowledge, methods and techniques – as a dedication in time and experience to the projects and struggles of Indigenous people in Latin America. The goal is to contribute to the double decolonization that these populations are undergoing, via their shedding of what has been imposed on them by Western society and by the relationship that the state establishes with them – that is to say, arguing that interculturality is the way.
Surface layer integrals are introduced as an adaptation of surface integrals to causal fermion systems and causal variational principles. Conservation laws are derived and formulated in terms of surface layer integrals.
In Chapter 10, we shift the attention toward the right-peopling of states within their existing borders. We test conventional constructivist expectations by flipping the causal pathway back to ethnic settlements via ethnic cleansing. This is a crucial complement to our focus on border change since even a casual reading of European states’ violent history and our analyses suggest that much of their current ethnic homogeneity resulted from ethnic cleansing. We directly link ethnic cleansing to states’ fear of being right-sized. As rising nationalism in the nineteenth century threatened multiethnic states with the secessionism and irredentism examined in the preceding chapters, some states turned to ethnic cleansing to prevent territorial losses. To test this argument, we analyze our spatial data on changes in ethnic settlement areas from 1886 to the present, which we link to episodes of ethnic cleansing. Building on Chapters 7 and 8, we find that border-crossing groups and those with a history of lost home rule were most at risk of ethnic cleansing, especially in times of interstate war. The analysis closes the circuit and shows how right-peopling and right-sizing are part of the same macrohistorical process of nationalist state transformation.
We analyse the long-time dynamics of trajectories within the stability boundary between laminar and turbulent square duct flow. If not constrained to a symmetric subspace, the edge trajectories exhibit a chaotic dynamics characterised by a sequence of alternating quiescent phases and intense bursting episodes. The dynamics reflects the different stages of the well-known near-wall streak–vortex interaction. Most of the time, the edge states feature a single streak with a number of flanking vortices attached to one of the four surrounding walls. The initially straight streak undergoes a linear instability and eventually breaks in an intense bursting event. At the same time, the downstream vortices give rise to a new low-speed streak at one of the neighbouring walls, thereby causing the turbulent activity to ‘switch’ from one wall to the other. If the edge dynamics is restricted to a single or twofold mirror-symmetric subspace, the bursting and wall-switching episodes become self-recurrent in time, representing the first periodic orbits found in square duct flow. In contrast to the chaotic edge states in the non-symmetric case, the imposed symmetries enforce analogue bursting cycles to simultaneously appear at two parallel opposing walls in a mirror-symmetric configuration. Both the localisation of turbulent activity to one or two walls and the wall-switching dynamics are shown to be common phenomena in marginally turbulent duct flows. We argue that such episodes represent transient visits of marginally turbulent trajectories to some of the edge states detected here.
Chapter 7 links specific violations of Gellner’s congruence principle to ethnonationalist conflict within and between states. While it is generally accepted that violations of state-nation congruence can cause conflict, less is known about which configurations increase the risk of either civil or interstate conflict, and how these conflict types interact. Inspired by Myron Weiner’s classic model of the Macedonian Syndrome, this chapter proposes an integrated theoretical framework that links specific nationality questions to both conflict types. Using our spatial data on state borders and ethnic settlements in Europe since 1816, we show that excluded and divided groups are more likely to rebel and, where they govern on only one side of the border, to initiate territorial claims and militarized disputes. Compounding the risk of conflict, rebellion, and interstate conflict reinforce each other where ethnic division coincides with partial home rule. We obtain similar, but weaker, findings for civil wars and territorial claims in a post-1945 global sample. After World War II, governments have typically shied away from engaging in interstate disputes to address nationality questions and instead support ethnic rebels abroad.
In the social sciences and policymaking, life satisfaction surveys are increasingly taken as the best measure of wellbeing. However, the life satisfaction theory of wellbeing (LST) barely features in philosophers’ discussions of wellbeing. This prompts two questions. First, is LST distinct from the three standard accounts of wellbeing (hedonism, desire theories, the objective list)? I argue LST is a type of desire theory. Second, is LST a plausible theory of wellbeing? I raise two serious, underappreciated objections and argue it is not. Life satisfaction surveys are useful, but we should not conclude they are the ideal measure of wellbeing.
Acuto’s manuscript is a gateway to understanding what could be called ‘Indigenous Latin American Archaeology’ (or ‘Indigenous Archaeology in Latin America’). This manuscript summarizes several arguments that have shaped the theoretical panorama of Latin American Indigenous archaeology in recent decades. The first argument is of a historical order. Clearly, the construction of national identities in Latin America that began in the 19th century after the wars of independence set forward a programmatic agenda concerning the question of the region’s Indigenous populations. The core of this agenda was to eradicate Indigenous populations so that the territories could be populated with modern citizens. So once the new Latin American republics were recognized, the project of clearing what would represent the Indigenous background was undertaken.
Childhood maltreatment (CM) increases the risk for psychopathology and CM type, severity and timing are considered important modulating factors in this relationship. However, reported associations are heterogeneous and hardly considered vulnerable groups broadly exposed to CM.
Methods
We investigated the association between CM types and timing and psychopathology in formerly out-of-home placed young adults (N = 185; 32% women, age mean = 26.38 years, SD = 3.49). CM was assessed using the Maltreatment and Abuse Chronology of Exposure Scale. Conditional random forest regression was used to estimate the importance of CM types (abuse, neglect, peer victimization, and sexual abuse), timing (ages 3–18), and global measures (severity, multiplicity, and duration) on adult general, internalizing, and externalizing problems (Achenbach System of Empirically Based Assessment). We validated the results using diagnoses of mental disorders clustered with the Hierarchical Taxonomy of Psychopathology model.
Results
Global CM measures were stronger predictors of internalizing problems than CM type and timing. Abuse in early childhood was a stronger predictor of externalizing problems compared to global CM measures.
Conclusions
Considering CM type and timing might be valuable to guide maltreatment-informed interventions in therapeutic settings.
The introduction points out that changing human presence in the Pacific affected Japanese politics throughout the nineteenth century. In particular, the whaling boom of the 1820s to 1840s caused security anxieties among policymakers, while Japanese whalers by mid-century struggled with declining catch rates. Building on scholarship from Oceania, the introduction suggests thinking of Japan not as an island, but as a “Sea of Islands,” a terraqueous zone awash in currents such as the Kuroshio south of Honshu that allocate warmth, humidity, and nutrients and create a specific, though fluid, offshore geography in which consequential historical conflicts and competitions unfold. It lays out a set of questions that emerge from such framing and suggests conceptualizing the history of the Kuroshio’s catchment area as an oceanic frontier. This brings the historical significance of ocean, islands, and human travelers beyond the traditional human habitat to the fore. Since the seventeenth century, ongoing attempts at controlling this frontier has informed business practices and expansionist ideologies of Japan.
This chapter summarizes the aims, scope, and contents of the book. Both science and humanism have evolved over hundreds of years, and both are associated with influential forms of inquiry into the world. Throughout this evolution, humanism and science have been intimately connected, in ways that are crucial for thinking about whether, as a significant strand of humanist thought contends, the sciences can (or can be relied upon to) enhance the welfare of humans, other life, and the environment. It is clear that there is no necessary connection between scientific inquiry and social or moral progress; the sciences have facilitated both significant goods and significant harms. Faced today with pressing challenges to the well-being of people and the planet, our attitudes toward science call for renewed scrutiny. With chapters spanning the history of entanglements of forms of humanism and science up to the present, and case studies of the value implications of the sciences, this book asks us to think about what relationships between science and humanism we should build for the future.
Many factors are known to influence experiences in bereavement. With a growing focus on public health approaches to bereavement support, it is important to further understand factors which healthcare workers (HCW) can influence regarding bereavement experiences for families. The study aim was to describe the experience of people bereaved following a death in Sydney Local Health District (SLHD), with particular focus on people’s awareness and experience of available supports and the perceived impact of healthcare interactions on bereavement experiences.
Methods
The study used semi-structured qualitative interviews (n = 15) to explore the experiences of bereaved people. These were recorded, transcribed, and analyzed using a Reflexive Thematic Analysis approach.
Results
Themes were generated showing the ways in which healthcare and bereavement experiences are mediated by personal interactions; that information and its delivery are central to shaping experiences; and the impacts of healthcare and government system issues on experiences of care and access to support. Attention to these factors may positively impact end-of-life care and subsequent bereavement experiences.
Significance of results
It is illuminating to consider the results in light of proposed public health approaches to bereavement. Our findings assist in understanding the role that HCWs have in supporting preparation for death, providing care with the potential to prevent negative bereavement outcomes, and offering short-term bereavement support. This is key in planning models that acknowledge the essential role HCWs play within public health approaches to bereavement support. Findings can inform education and training in healthcare, with a focus on approaches that affirm dignity and positive relationships, ensure sensitive and timely information provision, and enhance skilled communication. Recommendations can support policy and system improvements to enhance bereavement outcomes.