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We analyze the eigenvalue problem for the semiclassical Dirac (or Zakharov–Shabat) operator on the real line with general analytic potential. We provide Bohr–Sommerfeld quantization conditions near energy levels where the potential exhibits the characteristics of a single or double bump function. From these conditions we infer that near energy levels where the potential (or rather its square) look

Pulchrol, a natural compound isolated from the roots of the vegetal specie Bourreria pulchra has been shown to possess potential antiparasitic activity toward Trypanosomatids, particularly against Trypanosoma cruzi, which causes the Chagas disease; and moderately against Leishmania species, responsible for Leishmaniasis. In this investigation, several pulchrol analogues were prepared and assayed t

We study questions of existence and uniqueness of quadrature domains using computational tools from real algebraic geometry. These problems are transformed into questions about the number of solutions to an associated real semi-algebraic system, which is analyzed using the method of real comprehensive triangular decomposition.

Reflections on ongoing work on the interactions of welfare, planning and landscape, based on a session at the 2021 ECLAS conference.

This paper deals with the exterior Calderón operator for not necessarily spherical domains. We present a new approach of finding the norm of the exterior Calderón operator for a wide class of surfaces. The basic tool in the treatment is the set of eigenfunctions and eigenvalues to the Laplace–Beltrami operator for the surface. The norm is obtained in view of an eigenvalue problem of a quadratic fo

Background: Osteoclasts have been strongly implicated in osteoarthritic cartilage degradation, at least indirectly via bone resorption, and have been shown to degrade cartilage in vitro. The osteoclast resorption processes required to degrade subchondral bone and cartilage-the remodeling of which is important in the osteoarthritic disease process-have not been previously described, although cathep

Delayed-acceptance Markov chain Monte Carlo (DA-MCMC) samples from a probability distribution, via a two-stages version of the Metropolis-Hastings algorithm, by combining the target distribution with a "surrogate" (i.e. an approximate and computationally cheaper version) of said distribution. DA-MCMC accelerates MCMC sampling in complex applications, while still targeting the exact distribution. W

We introduce a family of boundary confinements for Coulomb gas ensembles, and study them in the two-dimensional determinantal case of random normal matrices. The family interpolates between the free boundary and hard edge cases, which have been well studied in various random matrix theories. The confinement can also be relaxed beyond the free boundary to produce ensembles with fuzzier boundaries,

Musculoskeletal health is critical for human function, enabling mobility, dexterity and the ability to work and actively participate in all aspects of life. It is essential for maintaining economic, social and functional independence as well as human capital across the life course. Action is needed and the Global Alliance for Musculoskeletal Health (G-MUSC) is working with the entire musculoskelet

Most university biobanks begin like other university research projects, i.e. with an idea conceived by an individual researcher in pursuit of his/her own research interests, publications, funding and career. Some biobanks, however, come to have scientific value that goes beyond the projects that were initially responsible for the collection of the samples and data they contain. Such value may deri

The Learning with Errors (LWE) problem is one of the main mathematical foundations of post-quantum cryptography. One of the main groups of algorithms for solving LWE is the Blum-Kalai-Wasserman (BKW) algorithm. This paper presents new improvements for BKW-style algorithms for solving LWE instances. We target minimum concrete complexity and we introduce a new reduction step where we partially reduc

BACKGROUND: Transient tachypnea of the newborn is characterized by tachypnea and signs of respiratory distress. Transient tachypnea typically appears within the first two hours of life in term and late preterm newborns. Although transient tachypnea of the newborn is usually a self-limited condition, it is associated with wheezing syndromes in late childhood. The rationale for the use of salbutamol

Massive MIMO (MaMI) is often promoted as a technology that will enable the use of low-quality, cheap hardware. One particular component that has been in the focus of MaMI-related research is the analog-to-digital converter (ADC), and use of very low-resolution ADCs has been proposed. However, studies about whether this strategy is justified from an energy-efficiency point of view have largely been

Cambodia is facing the familiar problem of achieving sustained rates of economic growth that could help it alleviate widespread poverty. Against the background of some encouraging developments, and quite a few that are not equally reassuring, we argue that any push for development needs to consider both agriculture and industry. This is so as both labour absorption, primarily in secondary sector a

Accounting based measures of exposure to macroeconomic shocks in exchange rates, interest rates and inflation do not capture the economic effects on the corporation of such shocks. We suggest measures that conceptually are coefficients in a multiple regression. The coefficients capture the sensitivity of a firm's real value or cash flows to unanticipated changes in each variable holding other vari

We present the development of a new colour reconnection model in Pythia where the full spacetime separation between partons constrains the reconnection probability throughout the final-state radiative shower. Building upon previous ideas of a perturbative dipole-based model, our objective is to introduce realistic spatially-based colour reconnections within the Angantyr model for heavy-ion collisi