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We study residual polynomials, Rx0,n(e), e⊂ R, x∈ R\ e, which are the degree at most n polynomials with R(x) = 1 that minimize the sup norm on e. New are upper bounds on their norms (that are optimal in some cases) and Szegő–Widom asymptotics under fairly general circumstances. We also discuss several illuminating examples and some results in the complex case such as root asymptotics, a universal
We prove a bijective unitary correspondence between (1) the isospectral torus of almost-periodic, absolutely continuous CMV matrices having fixed finite-gap spectrum E and (2) special periodic block-CMV matrices satisfying a Magic Formula. This latter class arises as E-dependent operator Möbius transforms of certain generating CMV matrices that are periodic up to a rotational phase; for this reaso
Viruses are the most abundant and genetically diverse entities on Earth, yet the functions and evolution of most viral proteins remain poorly understood. Their rapid evolution often obscures evolutionary relationships, limiting the ability to assign functions using sequence-based methods. Although the conservation of protein fold can reveal deep homologies, viral proteins remain underrepresented i
We consider the indeterminate Stieltjes moment problem associated with the Stieltjes-Wigert polynomials. After a presentation of the well-known solutions, we study a transformation T of the set of solutions. All the classical solutions turn out to be fixed under this transformation but this is not the case for the so-called canonical solutions. Based on generating functions for the Stieltjes-Wige
We show that for a positive linear operator acting in ℓ2 and defined from anxn+1 + bn xn + an-1xn-1 its so-called Friedrichs and Krein extensions may be explicitly characterized by boundary conditions as n → ∞.
This study examines the perception, implementation, and challenges of sustainable supply chain practices among small and medium-sized enterprises (SMEs) in Nigeria's retail sector. The retail industry in emerging economies like Nigeria, is dominated by SMEs, are crucial for economic growth and employment but often face significant barriers to adopting sustainability. Using a qualitative metho
Background: Early restitution of electroencephalogram (EEG) slow wave activity (SWA) may be able to predict favorable functional outcome after cardiac arrest. SWA can be monitored using the C-Trend Index, a recently developed dynamic numerical index computed using commercially available medical device software. Methods: This is a pre-planned prospective substudy of the randomized controlled Sedati
This study contributes to the growing literature on mobile work by examining the coordination of safety practices in public transport in Stockholm. We explore how safety, a critical and evolving theme in mobility studies, intersects with mobile work and its associated coordination challenges. Since the introduction of safety policies, security guards have focused on ‘circulatory maintenance’, a pr
Date palm oases in North Africa have historically supported agriculture through indigenous irrigation techniques such as foggaras and tabias, made possible by a relatively stable water supply. However, the sustainability of these systems is increasingly threatened by irrational water use, climate change and environmental resources degradation. In response to these challenges, we introduced and eva
Aluminum (Al), as a carbon-free energy source, features favorable characteristics regarding its production, transportation, utilization, and recyclability. The combustion of single Al particles mainly occurs as a vapor-phase diffusion flame, wherein the gas-phase combustion kinetics plays an important role. However, the understanding of the kinetics is still limited and rate constants for the same
BACKGROUND AND OBJECTIVES: Tau accumulation pattern shows substantial variability in Alzheimer disease (AD), and 4 distinct spatiotemporal trajectories were distinguished using a data-driven approach called the Subtype and Stage Inference (SuStaIn). A visual method to validate and identify these subtypes is a requirement for their clinical translation. Our study aimed to provide a standardized top
Introduction: Assessing suicide risk in clinical settings is challenging, as conventional self-report scales have limited predictive validity. The Death Implicit Association Test (D-IAT) was developed to explore implicit associations related to death and the self-concept. However, it omits the emotional association with death that may be crucial in suicide risk assessment. This cross-sectional stu
We propose data-driven surrogate models to solve systems of time-dependent differential equations coupled with noise. Using a feedforward neural network, we separately learn the noise and solution, tackling approximations across regimes with bifurcations and rare events. Focusing on irregular data generated by a stochastic noise model on a one-dimensional spatial lattice coupled to a differential
Background: There is an increasing incidence of oropharyngeal squamous cell carcinoma (OPSCC) survivors living with treatment-related head and neck lymphedema (HNL). This study aimed to determine (i) the prevalence of external HNL, (ii) changes in HNL over a nine-month period post-treatment, and (iii) factors associated with HNL among patients with OPSCC treated with (chemo)radiotherapy. Methods a
Three-dimensional (3D) cultures of primary human hepatocytes (3D PHH) are successfully used to reduce and replace the use of animal experiments in biomedical research. Yet, the initial formation of 3D PHH is highly dependent on the supplementation with FBS. However, the molecular composition of FBS and its effects on cultured cells are poorly understood. Moreover, FBS is prone to batch-to-batch va
Polyploidy is an important driver of the evolution and diversification of flowering plants. Several studies have shown that established polyploids differ from diploids in floral morphological traits and that polyploidization directly affects these traits. However, for floral scent, which is key to many plant-pollinator interactions, only a few studies have quantified differences between establishe
Based on previous work, we extend a primal-dual semi-smooth Newton method for minimizing a general L^1-L^2-TV functional over the space of functions of bounded variations by adaptivity in a finite element setting. For automatically generating an adaptive grid, we introduce indicators based on a-posteriori error estimates. Further, we discuss data interpolation methods on unstructured grids in the
We consider waveform iterations for dynamical coupled problems, or more specifically, PDEs that interact through a lower-dimensional interface. We want to allow for the reuse of existing codes for the subproblems, called a partitioned approach. To improve computational efficiency, different and adaptive time steps in the subsolvers are advisable. Using so-called waveform iterations in combination
