In this paper, we study the twisted Ruelle zeta function associated with the geodesic flow of a compact, hyperbolic, odd-dimensional manifold X. The twisted Ruelle zeta function is associated with an acyclic representation $\chi \colon \pi _{1}(X) \rightarrow \operatorname {\mathrm {GL}}_{n}(\mathbb {C})$, which is close enough to an acyclic, unitary representation. In this case, the twisted Ruelle zeta function is regular at zero and equals the square of the refined analytic torsion, as it is introduced by Braverman and Kappeler in [6], multiplied by an exponential, which involves the eta invariant of the even part of the odd-signature operator, associated with $\chi $.

This article analyses the paradoxical relationship between the relative decline and resurgence of national sovereignty in the context of economic and informational globalisation, the rise of mega-platforms, the sovereign individuals hidden within blockchains, and large model behemoths free from the feature design of programming. It highlights how the decline of sovereignty has given rise to concepts such as “the digital sovereignty” in Europe and “the sovereign blockchain” in China, while the resurgence of sovereignty has led to theories like the “surveillance society” in North America and the “electronic forbidding leave” metaphor in China. In any case, with the AI-driven era, “the Algorithmic Leviathan” is becoming an extremely powerful dominating force that countries and laws must confront. To prevent its runaway abuse, it is necessary to consolidate a basic consensus through global digital compacts and institutionalise it through legal and technical due process—this is the essence of the digital rule of law.

Rapid and comprehensive fighter optimisation is an important part of modern combat decision-making. However, due to the numerous influencing factors, it is difficult for decision-makers to consider comprehensively and specify the optimal decision, and it is highly subjective, which leads to different decision conclusions from person to person. Therefore, to solve the above deficiencies in fighter selection, this paper proposes a sequential decision-making framework that comprehensively considers the effectiveness, maintenance, support capability and health status of the fighter aircraft. Based on the multi-dimensional state, it provides comprehensive and credible auxiliary support for commanders. The sequential decision-making framework (called GRA-VIKOR-IFNs) uses the combination of equation and fuzzy multi-criteria decision-making (FMCDM) to evaluate the effectiveness, support capability and health in turn, to complete the step-by-step selection of fighter models, troops and sorties. The evaluation equation is for the effectiveness evaluation and a hybrid method using the extended grey correlation analysis (GRA) and VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method based on intuitionistic fuzzy numbers (IFNs) is for the support capability and health evaluation. The proposed strategy is in line with the logic and demand of actual combat and training decision-making and takes into account the influence of uncertain factors. Finally, a comparison with some classical methods is carried out, such as the full consistency method (FUCOM), the technique for order of preference by similarity to ideal solution (TOPSIS) and so on. The GRA-VIKOR-IFNs method is consistent with the results of other methods and the result sort resolution is 0.0619 and at least 40% higher than other methods, which can lead the commanders to a more reliable and clear decision.

The Highlander Nursery School, run by the Highlander Folk School from 1938 to 1953, provided no-cost early care and learning to the white working-class children of Summerfield, Tennessee. While Highlander is best known as a democratic education and movement-building hub that builds adults’ capacity to shape labor and racial justice in their communities, it has also facilitated programs for young people, including a nursery school. The Highlander Nursery School functioned as a cooperative institution that relied on the material and conceptual support of local residents, serving as a depoliticized entry point for families who might otherwise have been antagonistic toward Highlander’s pro-union and pro-civil rights agenda. This article aims to understand how the complexity of Highlander’s political vision for grassroots leadership, cooperation, and radical social change was expressed in and through the nursery school, an institution that teachers, local children, and their families worked together to sustain.

While various parts of St Thomas’ work have been suggested as places to discern a Thomistic ecclesiology, this article tries to situate the Church in a discussion of creation and the communication of divine goodness that is at the heart of the mystery of providence and predestination. Despite the assurance that God works for good with those who love him, our understanding of divine providence must begin with the frank admission of a tension between our intuition that creation must be ordered, and our experience of contingency. By understanding the Church’s place within creation, in a hidden and shadowy way from Abel until its manifestation in the Lord’s Paschal Mystery, we can see how God’s loving purposes are worked out both in the implicit faith in a Mediator, which finds its expression in a belief in God’s providential care of creation, and in the life of the visible Church where the mystery of predestination is worked out in the lives of the faithful until all is at last made manifest at the end of time. Such an ecclesiology allows us to see the fundamental importance, and mystical meaning, of the visible hierarchical Church.

Indigenous employment has attracted an increasing focus in recent decades from policy-makers, in the context of the gap between national rates of Indigenous and non-Indigenous employment. Non-Indigenous businesses are implementing a series of workplace and recruitment policies to enhance their rates of Indigenous employment, yet there is limited research demonstrating the impact of these policies. This paper uses primary survey data from a representative sample of Australian-based non-Indigenous-owned businesses to detail how Indigenous-focused workplace and recruitment practices are associated with Indigenous employment and retention. Descriptive analysis reveals that businesses with a workforce with 3.8% or more Indigenous employees (3.8% being the most recent Indigenous population proportion estimate) are more likely to maintain a series of Indigenous-specific workplace and recruitment practices, including celebrating NAIDOC, having a Reconciliation Action Plan (RAP), and cultural competency training, compared to businesses with fewer than 3.8% Indigenous employees. Businesses with higher Indigenous employee retention rates similarly demonstrate a higher likelihood to maintain these policies; however, the clearest delineation for businesses with 3.8% or more Indigenous employment and high Indigenous staff retention, is the presence of Indigenous management within these businesses. Revealingly, probit regression models demonstrate that Indigenous manager/s in a business are associated with a 50–60% higher probability of maintaining an Indigenous employment rate of 3.8% or above and an 11–16% lower probability of having poor Indigenous staff retention. Therefore, this paper reveals the importance of having Indigenous people in positions of organisational influence within non-Indigenous organisations, more so than implementing isolated workplace strategies.

We consider how LGBT+ legal rights frameworks, broadly construed, can be used to bolster support within the general public for transgender subgroup rights. Our research is informed by theoretical perspectives on appeals to superordinate identities to reduce prejudice. Based on a survey experiment in the United States, we find that framing a salient transgender advocacy issue—transgender participation in sports—within a broader LGBT+ legal rights framework increases public support for transgender inclusion in sports. There is a nearly 10 percentage-point increase in support, including among partisan Republicans, when transgender rights in sports are preceded by priming and framing around the more general LGBT+ rights struggle. Our results underscore the importance of broader LGBT+ rights advocacy to public acceptance of the transgender community.

For a class of potentials $\psi $ satisfying a condition depending on the roof function of a suspension (semi)flow, we show an EKP inequality, which can be interpreted as a Hölder continuity property in the weak${^*}$ norm of measures, with respect to the pressure of those measures, where the Hölder exponent depends on the $L^q$-space to which $\psi $ belongs. This also captures a new type of phase transition for intermittent (semi)flows (and maps).

This paper aims to examine Wolfhart Pannenberg’s theology of divine action using the conceptual framework of cognitive linguistics. Central to this exploration is Pannenberg’s use of the scientific concept of force field in an analogical/metaphorical way, enabling him to present a trinitarian-pneumatological understanding of divine action through divine omniscience and omnipresence. This paper argues that, despite justified criticisms of Pannenberg’s reliance on Faraday’s outdated concept of a universal force field, recent developments in cognitive linguistics affirm the legitimacy of Pannenberg’s panentheistic metaphorical approach to the theology of divine action while calling for revisions.

We present a streamlined and simplified exponential lower bound on the length of proofs in intuitionistic implicational logic, adapted to Gordeev and Haeusler’s dag-like natural deduction.

Mismatches in weight criteria across weight-sensitive processes within individual languages present difficulties for theories of moraic structure, particularly regarding coda weight. Previous accounts, which stipulate that codas are variably moraic to account for the typological variation in the weight status of CVC for primary stress, make incorrect predictions for the status of CVC in other weight-sensitive phenomena, including tone, word minimality and secondary stress, among others. This article proposes a theory of Uniform Moraic Quantity coupled with a new syllable weight metric as a solution, which captures CVC’s flexible weight status while maintaining the cross-linguistic moraicity of codas and avoiding the incorrect predictions that frustrate the standard variable-weight approach.

Kushner's monograph (published in 2000) explores clinicians’ developing understanding of a syndrome first described 200 years ago. This article highlights changing concepts of the disorder, its aetiology and treatment over its long history, as described by Kushner, and considers the current differential diagnosis of DSM-5 ‘Tourette's disorder’. It points out Kushner's astute observation that the clinical syndrome originally described by Itard and Gilles de la Tourette as ‘maladie des tics’ is not what is defined in the 21st century as Tourette syndrome.

Amid the growing trend of political polarization and nationalization of US politics, the link between federal and local governments has become increasingly significant in the American public policy process. Consequently, the president, as party leader, has increasingly supported co-partisan candidates, not only in federal elections but also in subnational ones. Incorporating 1,124 contested partisan local elections for 399 cities with populations exceeding 50,000 between 2005 and 2020, we investigate how the president strategically employs federal funds to assist co-partisan mayoral candidates. Using two-way fixed effects models, we find that the president distributes more block and project grants to swing cities with co-partisan mayors during mayoral election years. We do not find that the president disproportionately allocates grants to co-partisan mayors in swing cities during non-mayoral election years; instead, jurisdictions are rewarded irrespective of their electoral value.

At the beginning of the fourth millennium bc, the Typical Comb Ware culture (TCW) emerged in north-eastern Europe. One of its characteristics is a wealth of ‘amber’ or ‘ochre’ graves and mortuary practices. This article concerns the graves’ key elements, their distribution and frequency, and their relationship to the TCW phenomenon. The analysis of seventy-seven graves from twenty-three sites suggests that TCW graves are a materialization of a complex set of practices in which visual aspects (colours, contrasts, and combinations of materials) and performance play significant roles. Given the small number and distribution of graves, these practices were reserved for particular people and/or occasions, and the tradition only lasted for a few centuries. Interpreted from the perspective of identity production and sociocultural networks, these graves and associated practices are defined as ‘symbolically overloaded’, with buried bodies and activities intended to be seen.

For decades, transnational knowledge circulation in relation to schooling in Ireland has been a neglected area of study among historians. This paper provides new insights through a transnational lens on primary, secondary, and vocational curriculum developments in the first decade following the advent of national independence in the country in 1922. During this period, key policy-makers largely rejected progressive educational ideas circulating internationally and promoted curricula and pedagogy in primary and secondary schools that reflected the new nation’s deeply conservative Catholic nature and nationalist ethos. While initial signs indicated that developments in vocational education might head in a different direction, ultimately, more progressive educational ideas circulating internationally were excluded from that sector as well. At all levels of the education system, the hegemony of the Catholic Church and other contextual factors resulted in traditional and conservative curricula that underpinned policy and practice until the 1960s.