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We obtain sharp embeddings from the Sobolev space (Formula presented.) into the space (Formula presented.) and determine the extremal functions. This improves on a previous estimate of the sharp constants of these embeddings due to Kalyabin.

The increasing use of digital tools in archaeology has vastly expanded our capacity to document and visualise the past, yet the reasoning that connects evidence to interpretation often remains implicit or undocumented. This paper addresses that gapby integrating Inference to the Best Explanation (IBE)—a philosophical model of hypothesis evaluation—into the Archaeological Interactive Report (AIR),

High-sensitive cardiac troponins are essential biomarkers in the diagnostics of myocardial infarction. However, analytical interference such as macrotroponin, where troponin forms stable complexes with endogenous antibodies, can lead to persistently elevated levels without actual myocardial injury. The first case report presents a young woman with recurrent chest pain and prolonged troponin I elev

The royal Danish-Norwegian flagship Gribshunden, launched in 1485, was amongthe earliest northern European warships purpose-built to carry artillery. However, King Hans employed his vessel as far more than a weapons platform. The ship was his ‘floating castle’, fulfilling all the various purposes of a land redoubt. At its loss in 1495 enroute to a political summit in Kalmar, where Hans expected to

Deficiency in C1 inhibitor (C1INH, SERPING1) is canonically associated with hereditary angioedema (HAE-C1INH) but not thrombosis. To determine the thrombosis risk conferred by loss of C1INH in the general population, we studied genetically-defined C1INH deficiency across 635,823 participants. Functionally deleterious germline coding variation in SERPING1 was rare (~1:10,000), indicating strong gen

Aims: Social science literature suggests that unlimited trust in others may lead to adverse outcomes, and that moderate trust may be more optimal in social interactions. The aim was to analyze associations between generalized trust in other people and all-cause mortality using a four-alternative generalized trust item that includes moderate trust. Study design: Prospective cohort study. Methods: T

Early life air pollution exposure may play a role in development of respiratory infections, but underlying mechanisms are still not understood. We utilized data from two independent prospective birth cohorts to investigate the influence of prenatal and postnatal ambient air pollution exposure of PM2.5, PM10 and NO2 on maternal and child proteomic profiles and the risk of daily diary-registered com

We present a numerical scheme for the solution of the initial-value problem for the “bad” Boussinesq equation. The accuracy of the scheme is tested by comparison with exact soliton solutions as well as with recently obtained asymptotic formulas for the solution.

Firms require multi-stakeholder ecosystems to successfully create and implement circular business models for electric vehicle (EV) battery second life. However, there is a notable absence of guiding instruments to assist EV battery ecosystem actors in formulating and managing strategies for battery second-life operations. This study's aim is to analyze how circular ecosystems are formed and manage

This study featured about the synthesis of graphene oxide hydrogel-CuO@reduced graphene oxide (rGH-CuO@rGO) micromotors with core-shell structure via an ultrasonication-assisted chemical precipitation method and their application for catalytic dye degradation. The micromotors were comprehensively characterized by X-ray diffraction (XRD), scanning electron microscopy (SEM), transmission electron mi

We investigate the computation of stable fracture paths in brittle thin films using one-dimensional damage models with an elastic foundation. The underlying variational formulation is non-convex, making the evolution path sensitive to algorithmic choices. In this paper, we inquire into the effectiveness of quasi-Newton algorithms as an alternative to conventional Newton-Raphson solvers. These algo

This study analyzed Japanese mandible movements using a recently developed technique, the MARRYS helmet [Gudmundsson et al., Interspeech (2024)]. Data were collected from 9 first language and 10 second language (Mandarin Chinese) speakers of Japanese. The speech materials included three sentences composed entirely of /a/ vowels, one neutral sentence and three focus sentences with emphasis on diffe

Co-speech head and eyebrow gestures often align with pitch accents in spoken language production, thereby likely instantiating what we could refer to as multimodal prominence. Indeed, when speech is perceived audio-visually, controlled experimental studies have shown that both pitch accents and head and eyebrow gestures, when independently manipulated, have sizable effects on perceived prominence.

Transboundary crises often create a problem of fit, where existing institutional structures are inadequate to meet the demands of the situation, requiring strategic adaptations. This study examines how Italy, Sweden, and Norway, in different ways, addressed national-level leadership needs of decision-making, coordination, and information flow during the early onset of the COVID-19 pandemic, not on

Staten har — inte minst med tanke på det förändrade omvärldsläget — god anledning att vara tydlig i kommunikationen, så att statens institutioner inte förväxlas med privata verksamheter. Detta gör att det rättsliga skyddet för statssymboler blir en viktigare fråga än tidigare. Men regelverket avseende svenska statssymboler och andra officiella symboler (såsom kommunvapen) är ganska svåröverskådlig

Accurate detection of traffic anomalies is crucial for effective urban traffic management and congestion mitigation. We use the Spatiotemporal Generative Adversarial Network (STGAN) framework combining Graph Neural Networks and Long Short-Term Memory networks to capture complex spatial and temporal dependencies in traffic data. We apply STGAN to real-time, minute-by-minute observations from 42 tra

We present and analyze a hybridizable discontinuous Galerkin method for coupling Stokes and Darcy equations, whose domains are discretized by two independent triangulations. This causes nonconformity at the intersection of the subdomains or leaves a gap (unmeshed region) between them. In order to properly couple the two different discretizations and obtain a high-order scheme, we propose suitable