The American College of Rheumatology guidance for management of pediatric patients with multisystem inflammatory syndrome in children (MIS-C) associated with SARS-CoV-2 have been recently published. The guidance was prepared by the multidisciplinary Task Force and provide a very rational approach to management of this condition. There is, however, one area in which we are in disagreement.

Let S be a symmetric linear relation in the Pontyagin space (K, [., .]) and let Π = (H,Γ0,Γ1) be the corresponding boundary triple. We prove that the corresponding Weyl function Q satisfies Q ∈ Nκ(H). Conversely, for regular Q ∈ Nκ(H), we find linear relation S ( A, where A is representing self-adjoint linear relation of Q, and we prove that Q is the Weyl function of the relation S. We also prove  = kerΓ1, where  is the representing relation of the Q̂ := −Q−1. In addition, if we assume that the derivative at infinity Q ′ (∞) := lim z→∞ zQ(z) is a boundedly invertible operator then we are able to decompose A,  and S in terms of S, i.e. we express relation matrices of A,  and S in terms of S, which is a bounded operator in this case.

Above-threshold ionization spectra from cesium are measured as a function of the carrier-envelope phase (CEP) using laser pulses centered at 3.1  μm wavelength. The directional asymmetry in the energy spectra of backscattered electrons oscillates three times, rather than once, as the CEP is changed from 0 to 2π. Using the improved strong-field approximation, we show that the unusual behavior arises from the interference of few quantum orbits. We discuss the conditions for observing the high-order CEP dependence, and draw an analogy with time-domain holography with electron wave packets.

We provide the necessary and sufficient conditions for a generalized Nevanlinna function $Q$ ($Q\in N_{\kappa }\left( \mathcal{H} \right)$) to be a Weyl function (also known as a Weyl-Titchmarch function). We also investigate an important subclass of $N_{\kappa }(\mathcal{H})$, the functions that have a boundedly invertible derivative at infinity $Q'\left( \infty \right):=\lim \limits_{z \to \infty}{zQ(z)}$. These functions are regular and have the operator representation $Q\left( z \right)=\tilde{\Gamma}^{+}\left( A-z \right)^{-1}\tilde{\Gamma},z\in \rho \left( A \right)$, where $A$ is a bounded self-adjoint operator in a Pontryagin space $\mathcal{K}$. We prove that every such strict function $Q$ is a Weyl function associated with the symmetric operator $S:=A_{\vert (I-P)\mathcal{K}}$, where $P$ is the orthogonal projection, $P:=\tilde{\Gamma} \left( \tilde{\Gamma}^{+} \tilde{\Gamma} \right)^{-1} \tilde{\Gamma}^{+} $. Additionally, we provide the relation matrices of the adjoint relation $S^{+}$ of $S$, and of $\hat{A}$, where $\hat{A}$ is the representing relation of $\hat{Q}:=-Q^{-1}$. We illustrate our results through examples, wherein we begin with a given function $Q\in N_{\kappa }\left( \mathcal{H} \right)$ and proceed to determine the closed symmetric linear relation $S$ and the boundary triple $\Pi$ so that $Q$ becomes the Weyl function associated with $\Pi$. 2020 Mathematics Subject Classification. 34B20, 47B50, 47A06, 47A56

We use the epidemic threshold parameter, R0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathcal {R}}}_{0}$$\end{document}, and invariant rectangles to investigate the global asymptotic behavior of solutions of the density-dependent discrete-time SI epidemic model where the variables Sn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{n}$$\end{document} and In\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_{n}$$\end{document} represent the populations of susceptibles and infectives at time n=0,1,…\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n = 0,1,\ldots $$\end{document}, respectively. The model features constant survival “probabilities” of susceptible and infective individuals and the constant recruitment per the unit time interval [n,n+1]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$[n, n+1]$$\end{document} into the susceptible class. We compute the basic reproductive number, R0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathcal {R}}}_{0}$$\end{document}, and use it to prove that independent of positive initial population sizes, R0<1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathcal {R}}}_{0}<1$$\end{document} implies the unique disease-free equilibrium is globally stable and the infective population goes extinct. However, the unique endemic equilibrium is globally stable and the infective population persists whenever R0>1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathcal {R}}}_{0}>1$$\end{document} and the constant survival probability of susceptible is either less than or equal than 1/3 or the constant recruitment is large enough.

Abstract The significance and methods of measuring inefficiency of local communities has been gaining prominence in the last decade. The purpose of this paper is to empirically investigate the level of technical inefficiency in the sample of local communities in Bosnia and Herzegovina (BiH) for the year of 2017. We implement parametric stochastic frontier analysis (SFA) to conduct an input-oriented stochastic parametric approach to measuring technical inefficiency of local communities in BiH. The results of our work are complementary to previous research indicating relative technical inefficiency of local communities in BiH. On average, BiH local communities’ total expenditures can be reduced by 46.8 percent without reducing output levels to achieve the result of the local community on the best practice frontier. Since our analysis and selection of variables are driven by data availability, the future research plans to include more variables.

The current world trends and the global market require production organizations to increase the quality while reducing the costs of their products. In most cases, traditional production technologies of spiral drill bits (SD) cannot meet these expectations, as they most often fulfil only one of the set requirements. Thus, the cost of a SD produced with the rolling technology is low, but its quality is also much lower than that of the drills produced with the grinding technology whose cost is also much higher. The grooves of the SDs produced with our new technological method have advantages over the grooves produced with the rolling technology or grinding technology, and the savings in the material and grinding wheel are higher compared to the SDs produced with the grinding technology. This paper presents an analysis of the application of this new technological process for producing SD grooves.

Bosnia and Herzegovina (BIH) pear germplasm in the ex situ field collection at the University of Banja Luka was characterised with simple sequence repeat (SSR) markers in order to reveal redundancies, determine genetic diversity and confirm uniqueness. European pear (Pyrus communis L.) 67 accessions of the BIH collection and 7 reference cultivars of the ex situ collection at SLU in Balsgård, Sweden were analysed using a set of 10 SSR markers. All markers resulted in good amplification and easy scoring of marker alleles One-third of accessions appeared to be triploid. A total of 112 alleles were amplified in unique diploid genotypes with on average 11.2 alleles per marker. Mean observed heterozygosity (Ho) was 0.72, mean expected heterozygosity (He) – 0.80 and mean Shannon index (I) – 1.96. Inbreeding coefficient (FIT) for diploid accessions ranged from −0.06 to 0.28 (mean 0.02) and Wright’s inbreeding coefficient (FIS) – from −0.27 to 0.17 (mean −0.03). In the BIH pear collection, mean value of genetic differentiation (FST) between the reference cultivars and pear accessions was 0.05. Principal coordinate analysis (PCoA) divided the 74 pear accessions into three groups. The first group consisted of diploid, reference and possible triploid pear accessions, while the second and third groups contained only BIH possible triploid accessions. Overall, the results revealed high levels of polymorphism and uniqueness, indicating that BIH pear germplasm represents very diverse and valuable material for future breeding programmes.

This paper presents a model of dependence between the parameters of surface roughness and the parameters of cylindricity and eccentricity in drilling operation for the enhancing steel EN 42CrMo4, hardness 28 HRC, with twist drills DIN 338 made of high-speed steel EN HS6-5-2, with normal blade. The quality of machining, besides the accuracy of measures, completely determined with the values of the parameters of the surface roughness and the parameters of form and location, hence this paper is oriented to the creating models between parameters of the quality of a machined surface and parameters of deviations from form and position. By the developing models based on artificial neural networks and using experimental results, it is possible to analyse the quality of machining on the basis of parameters of a surface roughness.

This paper describes the usage of voltage VAr control (VVC) in closed loop mode (CLVVC). The focus is the application in single feeder radial distribution systems, where the CLVVC is executed in combination with short term load forecast (STLF) and distribution system state estimation (DSSE). Although well-known benefits, this paper especially deals with pitfalls and drawbacks of implementing and using closed loop.

Concurrently with the electrification of many segments of modern life, such as transport and heating, the problem of short term load forecasting becomes more actual and important. For each power system management, it is crucial to have parameters that display how much electricity is consumed and generated, so the estimation of future consumption can be developed. During the last years, short term load forecast is obtained by various methodologies; each presenting their advantages compared to the others. In this paper we investigate the feasibility of short term load forecasting using dynamic mode decomposition (DMD). The main idea is to model the consumption space as a linear dynamic system using the measured data. A test data-set is collected from 2009 to 2011 in Ireland, consumption of power was recorded every half hour, the experiments performed by manipulating data, and arranging it for easier application of the algorithm. It is shown that using timestamps with DMD provides easy and fast computation. The obtained results are proven to be promising and comparable with others from the literature.

Detection of small moving objects is an important research area with applications including monitoring of flying insects, studying their foraging behavior, using insect pollinators to monitor flowering and pollination of crops, surveillance of honeybee colonies, and tracking movement of honeybees. However, due to the lack of distinctive shape and textural details on small objects, direct application of modern object detection methods based on convolutional neural networks (CNNs) shows considerably lower performance. In this paper we propose a method for the detection of small moving objects in videos recorded using unmanned aerial vehicles equipped with standard video cameras. The main steps of the proposed method are video stabilization, background estimation and subtraction, frame segmentation using a CNN, and thresholding the segmented frame. However, for training a CNN it is required that a large labeled dataset is available. Manual labelling of small moving objects in videos is very difficult and time consuming, and such labeled datasets do not exist at the moment. To circumvent this problem, we propose training a CNN using synthetic videos generated by adding small blob-like objects to video sequences with real-world backgrounds. The experimental results on detection of flying honeybees show that by using a combination of classical computer vision techniques and CNNs, as well as synthetic training sets, the proposed approach overcomes the problems associated with direct application of CNNs to the given problem and achieves an average F1-score of 0.86 in tests on real-world videos.

Methylation marks of exposure to health risk factors may be useful markers of cancer risk as they might better capture current and past exposures than questionnaires, and reflect different individual responses to exposure. We used data from seven case‐control studies nested within the Melbourne Collaborative Cohort Study of blood DNA methylation and risk of colorectal, gastric, kidney, lung, prostate and urothelial cancer, and B‐cell lymphoma (N cases = 3123). Methylation scores (MS) for smoking, body mass index (BMI), and alcohol consumption were calculated based on published data as weighted averages of methylation values. Rate ratios (RR) and 95% confidence intervals for association with cancer risk were estimated using conditional logistic regression and expressed per SD increase of the MS, with and without adjustment for health‐related confounders. The contribution of MS to discriminate cases from controls was evaluated using the area under the curve (AUC). After confounder adjustment, we observed: large associations (RR = 1.5‐1.7) with lung cancer risk for smoking MS; moderate associations (RR = 1.2‐1.3) with urothelial cancer risk for smoking MS and with mature B‐cell neoplasm risk for BMI and alcohol MS; moderate to small associations (RR = 1.1‐1.2) for BMI and alcohol MS with several cancer types and cancer overall. Generally small AUC increases were observed after inclusion of several MS in the same model (colorectal, gastric, kidney, urothelial cancers: +3%; lung cancer: +7%; B‐cell neoplasms: +8%). Methylation scores for smoking, BMI and alcohol consumption show independent associations with cancer risk, and may provide some improvements in risk prediction.

ABSTRACT This article focuses on the role the Bosnian Serb Assembly played in the process of socially constructing Bosniaks as “Turks” during the period between October 1991 and December 1995. This process can be placed within the wider context of the genocidal policies pursued by agencies, institutions and organs under the sway of the assembly. The article argues that the assembly—both its individual members, and as an institution—played a central role not only in determining policies that ultimately led to genocide, but also in the process of reconceptualization of Bosniaks as cultural aliens whose very existence presented a mortal threat to the existence of the Serb people.