NHERI education and community outreach: longitudinal, educational outcomes of a coordinated, distributed network by Robin Nelson, Karina I. Vielma, Karina I. Vielma, JoAnn Browning

“…National Science Foundation (NSF) Natural Hazards Engineering Research Infrastructure (NHERI) Network Coordination Office (NCO) Education and Community Outreach (ECO) led coordinated efforts to promote educational activities along various pathways for students and educators targeted at broadening participation in and awareness of natural hazards engineering research through the Research Experiences for Undergraduates (REU) Summer Program, the Graduate Student Council (GSC), and the Summer Institute for Early Career Researchers and K-12 Educators. NHERI connects a diverse group of undergraduate and graduate students, faculty and K-12 educators, and researchers interested in mitigating the effects of natural hazards through these flagship educational programs. …”
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Parameter Dependence of Positive Solutions for Second-Order Singular Neumann Boundary Value Problems with Impulsive Effects by Xuemei Zhang

“…The author considers the Neumann boundary value problem -y′′t+Myt=λωtft,yt,  t∈J,    t≠tk,  -Δy′|t=tk = λIktk,ytk,   k=1,2,…,m,  y′(0)=y′(1)=0 and establishes the dependence results of the solution on the parameter λ, which cover equations without impulsive effects and are compared with some recent results by Nieto and O’Regan.…”
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Mean number of real zeros of a random hyperbolic polynomial by J. Ernest Wilkins

“…Consider the random hyperbolic polynomial, f(x)=1pa1coshx+⋯+np×ancoshnx, in which n and p are integers such that n≥2,   p≥0, and the coefficients ak(k=1,2,…,n) are independent, standard normally distributed random variables. …”
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Global Universality of the Two-Layer Neural Network with the k-Rectified Linear Unit by Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

“…This paper concerns the universality of the two-layer neural network with the k-rectified linear unit activation function with k=1,2,… with a suitable norm without any restriction on the shape of the domain in the real line. …”
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Dynamical Behavior and Expressions of Solutions of a Class of Higher-Order Nonlinear Difference Equations by Ghada AlNemer, Lama Sh. Aljoufi, A. M. Ahmed, Samir Al Mohammady, M. Zakarya, H. M. Rezk

“…The aim of this article is to get the forms of the solutions of the following nonlinear higher-order difference equations χs+1=χs−3k+1/±1±Πl=1kχs−3l+1,s=0,1,2,…, where the initial conditions χ−j,j=0,1,2,…,3k−1 and k∈1,2,… are arbitrary real numbers. Also, we examine stability, boundedness, oscillation, and the periodic nature of these solutions.…”
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Schur m-Power Convexity of a Class of Multiplicatively Convex Functions and Applications by Wen Wang, Shiguo Yang

“…We investigate the conditions under which the symmetric functions Fn,k(x,r)=∏1≤i1<i2<⋯<ik≤n ‍f(∑j=1k‍xijr)1/r,  k=1,2,…,n, are Schur m-power convex for x∈R++n and r>0. …”
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Extracellular viral microRNAs as biomarkers of virus infection in human cells by Cheryl Chan, Joanne Xin Yi Loh, Wei-Xiang Sin, Denise Bei Lin Teo, Nicholas Kwan Zen Tan, Chandramouli Nagarajan, Yunxin Chen, Francesca Lorraine Wei Inng Lim, Michael E. Birnbaum, Rohan B.H. Williams, Stacy L. Springs

“…Viral exmiR profiling of spent media from EBV- and HHV-8-reactivated B cell models revealed specific signatures of elevated EBV miR-BHRF1-2-3p and HHV-8 miR-K12-10a-3p, miR-K12-10b, and miR-K12-12-3p, respectively, during virus reactivation. …”
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Permanents of Hexagonal and Armchair Chains by O. Nekooei, H. Barzegar, A. R. Ashrafi

“…As a consequence of our work, it is proved that if Gk and Hk denote the hexagonal and armchair chains, respectively, then permAG1=4, permAGk=k+12, k≥2, and permAHk=4k with k≥1. One question about the permanent of a hexagonal zig-zag chain is also presented.…”
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Meta-synthesis of school leadership competencies to support learner-centered, personalized education by Jayson W. Richardson, Sahar Khawaja

“…This study analyzes the corpus of research on how K–12 school leaders foster deeper learning by creating learner-centered, personalized learning opportunities for students. …”
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Solutions of Second-Order m-Point Boundary Value Problems for Impulsive Dynamic Equations on Time Scales by Xue Xu, Yong Wang

“…We study a general second-order m-point boundary value problems for nonlinear singular impulsive dynamic equations on time scales uΔ∇(t)+a(t)uΔ(t)+b(t)u(t)+q(t)f(t,u(t))=0,t∈(0,1),t≠tk,uΔ(tk+)=uΔ(tk)-Ik(u(tk)), and k=1,2,…,n,u(ρ(0))=0,u(σ(1))=∑i=1m-2αiu(ηi)‍. The existence and uniqueness of positive solutions are established by using the mixed monotone fixed point theorem on cone and Krasnosel’skii fixed point theorem. …”
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Global attractivity of positive periodic solutions for an impulsive delay periodic food limited population model by Jian Song

“…We will consider the following nonlinear impulsive delay differential equation N′(t)=r(t)N(t)((K(t)−N(t−mw))/(K(t)+λ(t)N(t−mw))), a.e. t>0, t≠tk, N(tk+)=(1+bk)N(tk), K=1,2,…, where m is a positive integer, r(t), K(t), λ(t) are positive periodic functions of periodic ω. …”
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Asymptotic expansion of small analytic solutions to the quadratic nonlinear Schrödinger equations in two-dimensional spaces by Nakao Hayashi, Pavel I. Naumkin

“…We study asymptotic behavior in time of global small solutions to the quadratic nonlinear Schrödinger equation in two-dimensional spaces i∂tu+(1/2)Δu=&#x1D4A9;(u), (t,x)∈ℝ×ℝ2;u(0,x)=φ(x), x∈ℝ2, where &#x1D4A9;(u)=Σj,k=12(λjk(∂xju)(∂xku)+μjk(∂xju¯)(∂xku¯)), where λjk,μjk∈ℂ. …”
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Extensions of Some Parametric Families of D(16)-Triples by Alan Filipin

“…Furthermore, if {k−4,4k,9k−12}, for k>5, is a D(16)-quadruple, then d=9k3−48k2+76k−32. …”
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Development of a scale of teachers’ perceived training quality from the perspective of TPACK by Jielin Yang, Hongju Wei

“…The validity and reliability of the scale were verified with a sample of 426 K-12 teachers in Henan, China. Explanatory factor analysis, confirmatory factor analysis, and item discrimination were also conducted. …”
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The Feasibility of Farmer-Led Cooperatives for Southwest Florida Farm to School Procurement by Jonathan Adam Watson, Danielle D. Treadwell, Catherine Campbell, Ray Bucklin

“… Florida’s K–12 schools provide a potential opportunity to increase market channel options for small- and mid-sized diversified farms, but processing, storage, and distribution resources are extremely limited for smaller producers. …”
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Professional Learning Communities and Institutional Culture Change in Higher Education: Facilitators to Learning Ecological Validation to Support Historically Marginalized Students by Adrianna Kezar, Ronald E. Hallett, Zoë B. Corwin, Liane I. Hypolite, Mariama N. Nagbe

“…The findings identify six conditions that support learning within PLCs in higher education settings aimed at culture change and these are distinctive from findings in the K-12 literature on PLCs. …”
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Probiotics in the prevention of dental caries by Johany Duque de Estrada Riverón, Ileana Hidalgo-Gato Fuentes, Yensi Díaz Martell

“…Oral probiotics that have shown promising activities in the prevention of dental caries are: Streptococcus salivarius (strain K12), BGH01 Lactobacillus salivarius, BGH089 gasseri Lactobacillus, Streptococcus sanguinis and Streptococcus oligofermentans. …”
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The Feasibility of Farmer-Led Cooperatives for Southwest Florida Farm to School Procurement by Jonathan Adam Watson, Danielle D. Treadwell, Catherine Campbell, Ray Bucklin

“… Florida’s K–12 schools provide a potential opportunity to increase market channel options for small- and mid-sized diversified farms, but processing, storage, and distribution resources are extremely limited for smaller producers. …”
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Formulas for Rational-Valued Separability Probabilities of Random Induced Generalized Two-Qubit States by Paul B. Slater, Charles F. Dunkl

“…The associated induced-measure separability probabilities (k=1,2,…) are found—via a high-precision density approximation procedure—to assume interesting, relatively simple rational values in the two-re[al]bit (α=1/2), (standard) two-qubit (α=1), and two-quater[nionic]bit (α=2) cases. …”
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The Real-Time-Based Assessment of the Microbial Killing by the Antimicrobial Compounds of Neutrophils by J. T. Atosuo, E.-M. Lilius

“…A recombinant Escherichia coli K-12 strain, transformed with a modified bacterial luciferase gene (luxABCDE) from Photorhabdus luminescens, was constructed in order to monitor the activity of various antimicrobial agents on a real-time basis. …”
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