Denoising and deconvolving CT images of unknown origin: comparing linear Wiener-deconvolution with deep convolutional neural network Noise2Inverse by Simon Zabler, Antoine Klos, Pierre Lhuissier, Luc Salvo, Maziyar Farahmandi, Simon Wittl

“…Unlike Wiener filtering, N2I is far more effective in removing pixel noise. …”
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Boundedness of classical solutions to a chemotaxis consumption system with signal dependent motility and logistic source by Baghaei, Khadijeh

“…$We prove that the classical solutions to the above system are uniformly-in-time bounded provided that $ k\,(1-\alpha )<\frac{4}{n+5}$ and the initial value $ v_{0}$ and $\mu $ satisfy the following conditions: \begin{align*} 0<\Vert v_{0}\Vert _{L^{\infty }(\Omega )}\le \Bigg [\frac{4\big [1-k \, \big (1-\alpha \big )\big ]}{k\, (n+1)\,(1-\alpha )}\Bigg ]^{\frac{1}{k}}-1, \end{align*} and \begin{equation*} \mu > \frac{k\,n\,(1-\alpha ) \Vert v_{0}\Vert _{L^{\infty }(\Omega )}}{(n+1)(1+\Vert v_{0}\Vert _{L^{\infty }(\Omega )})}. …”
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Prevalence of depression in visually impaired children and adolescents: A systematic review and meta-analysis by Ajay Kumar Bakhla, Puja Pallavi, Ravi Rohan Kisku, Nishant Goyal, Amit Kumar, Kameshwar Prasad

“…Five studies that expressed gender distribution showed a cumulative prevalence of diagnosed depressive disorders was 6.85% and 18.96%, respectively, for male (n = 219, I2 = 47.52) and female (n = 116, I2 = 60.6%) participants. …”
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Management of Nitrogen Through the Use of Leaf Color Chart (LCC) and Soil Plant Analysis Development (SPAD) or Chlorophyll Meter in Rice Under Irrigated Ecosystem by Debtanu Maiti, D. K. Das, Tanmoy Karak, Mahua Banerjee

“…The results show that the amount of N can be saved as 2042.5 and 27.547.5 kg N ha−1 through the use of LCC and SPAD in rice over the fixed-timing N treatment T7 where 150 kg N ha−1 was applied in three (3) splits without reduction in the yield. …”
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Bounded Oscillation of a Forced Nonlinear Neutral Differential Equation by Zeqing Liu, Yuguang Xu, Shin Min Kang, Young Chel Kwun

“…This paper is concerned with the nth-order forced nonlinear neutral differential equation [x(t)-p(t)x(τ(t))](n)+∑i=1mqi(t)fi(x(σi1(t)),x(σi2(t)),…,x(σiki(t)))=g(t),  t≥t0. …”
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On the number of representations of positive integers by quadratic forms as the basis of the space S4(Γ0(47),1) by Ahmet Tekcan, Osman Bızım

“…Moreover, a basis for the space S4(Γ0(47),1) are constructed, and the formulas for r(n;F4), r(n;G4), r(n;F3⊕G1), r(n;F2⊕G2), and r(n;F1⊕G3) are derived.…”
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On the global behavior of the nonlinear difference equation xn+1=f(pn,xn−m,xn−t(k+1)+1) by Taixiang Sun, Hongjian Xi

“…We consider the following nonlinear difference equation: xn+1=f(pn,xn−m,xn−t(k+1)+1), n=0,1,2,…, where m∈{0,1,2,…} and k,t∈{1,2,…} with 0≤m<t(k+1)−1, the initial values x−t(k+1)+1,x−t(k+1)+2,…,x0∈(0,+∞), and {pn}n=0∞ is a positive sequence of the period k+1. …”
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On the acyclic point-connectivity of the n-cube by John Banks, John Mitchem

“…In a 1975 paper, Harary stated erroneously that α(Qn)=2n−1−1 where Qn denotes the n-cube. We prove that for n>4, 7⋅2n−4≤α(Qn)≤2n−1−2n−y−2, where y=[log2(n−1)]. …”
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Energy Conditions for Hamiltonicity of Graphs by Guidong Yu, Gaixiang Cai, Miaolin Ye, Jinde Cao

“…The energy of G is defined as ℰ(G)=∑i=1n‍|μi(G)|. Denote by GBPT a bipartite graph. In this paper, we establish the sufficient conditions for G having a Hamiltonian path or cycle or to be Hamilton-connected in terms of the energy of the complement of G, and give the sufficient condition for GBPT having a Hamiltonian cycle in terms of the energy of the quasi-complement of GBPT.…”
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An H-system for a revolution surface without boundary by P. Amster, P. De Nápoli, M. C. Mariani

“…Under suitable conditions we prove that the existence of a solution is equivalent to the solvability of a scalar equation N(a)=L/2, where N:&#x1D49C;⊂ℝ+→ℝ is a function depending on H. Moreover, using the method of upper and lower solutions we prove existence results for some particular examples. …”
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Reducing Subspaces of Some Multiplication Operators on the Bergman Space over Polydisk by Yanyue Shi, Na Zhou

“…We consider the reducing subspaces of MzN on Aα2(Dk), where k≥3, zN=z1N1⋯zkNk, and Ni≠Nj for i≠j. We prove that each reducing subspace of MzN is a direct sum of some minimal reducing subspaces. …”
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Global Asymptotic Stability of a Rational System by Lin-Xia Hu, Xiu-Mei Jia

“…The main goal of this paper is to investigate the global asymptotic behavior of the difference equation xn+1=β1xn/A1+yn, yn+1=β2xn+γ2yn/xn+yn, n=0,1,2,… with β1,β2,γ2,A1∈(0,∞) and the initial value (x0,y0)∈[0,∞)×[0,∞) such that x0+y0≠0. …”
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Meniscal Regeneration: A Cause of Persisting Pain following Total Knee Arthroplasty by Hosam E. Matar, Benan Dala-Ali, Henry D. Atkinson

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Surgeon Preference and Clinical Outcome of 3D Vision Compared to 2D Vision in Laparoscopic Surgery: Systematic Review and Meta-Analysis of Randomized Trials by Rawin Amiri, BSc, Maurice J. W. Zwart, PhD, Leia R. Jones, BSc, Mohammad Abu Hilal, PhD, FRCS, Harrie P. Beerlage, PhD, FEBU, Mark I. van Berge Henegouwen, PhD, Wytze W. Lameris, PhD, Willem A. Bemelman, PhD, Marc G. Besselink, MD, MSc, PhD

“…This benefit was mostly seen in bariatric surgery (−16.3%; 95% CI, −1.28 to −0.21; P = 0.006; 2 studies; n = 58; I2 = 0%) and general surgery (−6.7%; 95% CI, −0.34 to −0.01; P = 0.036; 9 studies; n = 1056; I2 = 41%). …”
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A Realistic Approach to Calculating the Nitrogen Use Efficiency Index in Cereals with Winter Wheat (<i>Triticum aestivum</i> L.) as an Example by Witold Grzebisz, Jarosław Potarzycki

“…This article proposes a method for calculating NUE which is based on N input (<i>N_in</i>) into the soil/crop system in the critical phases of yield formation in winter wheat. …”
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Identification of Intracranial Germ Cell Tumors Based on Facial Photos: Exploratory Study on the Use of Deep Learning for Software Development by Yanong Li, Yixuan He, Yawei Liu, Bingchen Wang, Bo Li, Xiaoguang Qiu

“…The study comprised the collection and division of datasets into training (n=847, iGCTs=358, NCs=300, other midline brain tumors=189) and testing (n=212, iGCTs=79, NCs=70, other midline brain tumors=63), with an additional independent validation dataset (n=336, iGCTs=130, NCs=100, other midline brain tumors=106) sourced from 4 medical institutions. …”
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Further Results on a Curious Arithmetic Function by Long Chen, Kaimin Cheng, Tingting Wang

“…In this paper, we introduce an arithmetic function fp:N∗⟶Q+ defined by fpn≔n/pvpn1−vpn for any positive integer n. We show several interesting arithmetic properties about that function and then use them to establish some curious results involving the p-adic valuation. …”
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Global Behavior of a Discrete Anticompetitive System in the Plane by Lin-Xia Hu

“…The main goal of this paper is to investigate the global asymptotic behavior of the difference system xn+1=γ1yn/A1+xn,  yn+1=β2xn/B2+yn,  n=0,1,2,…. with γ1,β2,A1,B2∈(0,∞) and the initial condition (x0,y0)∈[0,∞)×[0,∞). …”
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On iterative solution of nonlinear functional equations in a metric space by Rabindranath Sen, Sulekha Mukherjee

“…Given that A and P as nonlinear onto and into self-mappings of a complete metric space R, we offer here a constructive proof of the existence of the unique solution of the operator equation Au=Pu, where u∈R, by considering the iterative sequence Aun+1=Pun (u0 prechosen, n=0,1,2,…). We use Kannan's criterion [1] for the existence of a unique fixed point of an operator instead of the contraction mapping principle as employed in [2]. …”
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Stable domains for higher order elliptic operators by Grosjean, Jean-François, Lemenant, Antoine, Mougenot, Rémy

“…This paper is devoted to prove that any domain satisfying a $(\delta _0,r_0)$-capacitary condition of first order is automatically $(m,p)$-stable for all $m\geqslant 1$ and $p> 1$, and for any dimension $N\geqslant 1$. In particular, this includes regular enough domains such as $\mathscr{C}^1$-domains, Lipschitz domains, Reifenberg-flat domains, but is sufficiently weak to also include cusp points. …”
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