Let $\Omega \subset \mathbb{R}^d$ with $d\geq 2$ be a bounded domain of class ${\mathcal C}^{1,\beta }$ for some $\beta \in (0,1)$. For $p\in (1, \infty )$ and $s\in (0,1)$, let $\Lambda ^s_{p}(\Omega )$ be the first eigenvalue of the mixed local–nonlocal operator $-\Delta _p+(-\Delta _p)^s$ in Ω with the homogeneous nonlocal Dirichlet boundary condition. We establish a strict Faber–Krahn-type inequality for $\Lambda _{p}^s(\cdot )$ under polarization. As an application of this strict inequality, we obtain the strict monotonicity of $\Lambda _{p}^s(\cdot )$ over the annular domains and characterize the rigidity property of the balls in the classical Faber–Krahn inequality for $-\Delta _p+(-\Delta _p)^s$.

Analysts often seek to compare representations in high-dimensional space, e.g., embedding vectors of the same word across groups. We show that the distance measures calculated in such cases can exhibit considerable statistical bias, that stems from uncertainty in the estimation of the elements of those vectors. This problem applies to Euclidean distance, cosine similarity, and other similar measures. After illustrating the severity of this problem for text-as-data applications, we provide and validate a bias correction for the squared Euclidean distance. This same correction also substantially reduces bias in ordinary Euclidean distance and cosine similarity estimates, but corrections for these measures are not quite unbiased and are (non-intuitively) bimodal when distances are close to zero. The estimators require obtaining the variance of the latent positions. We (will) implement the estimator in free software, and we offer recommendations for related work.

The aeronautical telecommunication network (ATN) aims to provide reliable end-to-end communications even for those including the air-to-ground segment and in particular for data link applications. The existing ATN, known as ATN/OSI, is based on OSI protocols since its first deployment. The OSI model implementation in ATN communicating entities causes great complexity in network management, particularly in terms of Internet network interoperability. Therefore, since 2010, the International Civil Aviation Organization (ICAO) proposed a migration to ATN over Internet protocol suite (IPS), called ATN/IPS. Thus, this research work focuses on specifying the reliability mechanisms required for air ground data link applications in future ATN/IPS. To achieve this, the transport protocols performance is assessed based on simulations using an ATN model developed considering the ICAO standards. The modeled legacy application enables to generate traffic based on real controller-pilot data link communications (CPDLC) log files from French area control centre (ACC). The air-to-ground subnetworks are characterised using time series delay induced from previously modeled VDL Mode 2 data link analysis. As proof-of-concept, CPDLC messages exchange from aircraft to controller and future applications that transmits heavier files from ground-to-board are simulated. Transport protocols performance are evaluated with respect to the most constraining requirements. The simulation results highlighted the limitations of both connection-oriented transport protocol class 4 (COTP4) and TCP. This enabled to provide a preliminary overview of a new QUIC-like reliable protocol that should meet the heterogeneous requirements of the legacy and the eventual future ATN/IPS applications.

During the early 1970s, the Italian feminist movement opened up to foreign militant contexts. The two crucial interplays were with the American and French Women’s Liberation Movements. The aim of this article is to analyze from a transnational historical perspective the connection between Milanese activists and the French group Psychanalyse et politique led by Antoinette Fouque, which developed through several encounters during a period of a few days. From the French militants, the Milanese women learnt the political practice of unconscious which differed from the more diffuse consciousness-raising technique. From those meetings I reflect on general issues linked to the Italian and French feminist movements of that time: for instance, viewing the women’s separatist communal life both as a response to the New Left’s refusal to take on the peculiarity of women’s oppression and as the positive exemplification of the deconstructive claim that the personal is political. I also consider the contrast between the use of psychoanalysis and consciousness-raising practices, the significance of orality as a feminist means of communication, and the relationship between orality and the later trend of feminist bookshops. The ultimate goal is to understand the political effectiveness and limitations of the transnational feature of those encounters.

The purpose of this paper is to problematize how the wave narrative maintains and reinforces the hegemony of Western-dominant feminisms while silencing, excluding, appropriating, and/or diluting Othered feminisms and gender-related perspectives. As Western-dominant feminist historicizations travel to the wave narrative, they become the points of reference to all, while Othered historicizations are either erased or Westernized and whitewashed as they travel to the wave narrative. First, to present these problematizations, I will articulate with Edward Said’s travelling theories, Santiago Castro-Gómez’s zero-point hubris, and Linda Alcoff’s speaking for the other. Secondly, I will argue the wave narrative is embedded in Western myths that reinforce its supremacy, including the myths of: (i) true-universal feminisms; (ii) neutral locus of enunciation; (iii) linear-progressive feminist historicization; and (iv) white feminist savior. Finally, I seek to contribute with the theoretical perspectives presented in this paper by focusing on: (1) the importance of understanding from-to/how-by theories and historicizations travel; (2) how Othered epistemologies are located, according to zero-point hubris logics, within hyper-surveilled points of no-observation; and (3) how the dilution and appropriation of Othered stories and epistemologies by Western-dominant feminisms is not simply speaking for Others, but speaking above Others.

Ludovico Luigi Nicola di Giura (1868–1947) was an Italian doctor who lived in Beijing from 1900 to 1931. In addition to his medical practice, di Giura actively engaged with the local elite, developed a profound interest in Chinese literature, and contributed to introducing Chinese reality and culture into Italy through journalistic, literary, and translation works. Upon his return to Italy, he constructed a ‘Chinese library’ at his family estate in Chiaromonte, located in the Basilicata region. This article adopts the ‘Heraclitean approach’ proposed by Weingarten (2022) to examine di Giura's personal library, analysing the evolution of both individual and communal cultural longings reflected by his collection and marginalia within the books spanning different periods. Drawing upon the primary sources recently discovered and catalogued from the library, along with archival and bibliographical materials from both Italian and Chinese sources, the paper not only aims to reveal di Giura's intellectual profile, but also aims to utilise his individual experiences as a lens for observing the social and cultural life of Italians in China during the early twentieth century.

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).