Controlling Listeria monocytogenes Scott A on Surfaces of Fully Cooked Turkey Deli Product Using Organic Acid-Containing Marinades as Postlethality Dips by Gerardo Casco, Jennifer L. Johnson, T. Matthew Taylor, Carlos N. Gaytán, Mindy M. Brashears, Christine Z. Alvarado

“…Numbers of Lm Scott A rose by 0.7 log10 CFU/g through the 56 d storage period. …”
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Estimation of Tabriz population based on exponential and logistic growth models for water scarcity analysis by Saeed Imani, Yagob Dinpashoh, Esmaeil Asadi, Ahmad Fakheri Fard

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Asymptotic Stability for a Class of Nonlinear Difference Equations by Chang-you Wang, Shu Wang, Zhi-wei Wang, Fei Gong, Rui-fang Wang

“…We study the global asymptotic stability of the equilibrium point for the fractional difference equation xn+1=(axn-lxn-k)/(α+bxn-s+cxn-t), n=0,1,…, where the initial conditions x-r,x-r+1,…,x1,x0 are arbitrary positive real numbers of the interval (0,α/2a),l,k,s,t are nonnegative integers, r=max⁡⁡{l,k,s,t} and α,a,b,c are positive constants. …”
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Gamma-Glutamyl Transpeptidase-to-Platelet Ratio Predicts Significant Liver Fibrosis of Chronic Hepatitis B Patients in China by Tianyi Ren, Huan Wang, Ruihong Wu, Junqi Niu

“…Of these 160 CHB patients, the numbers of F0, F1, F2, F3, and F4 are 34 (21.3%), 62 (38.8%), 18 (11.3%), 24 (15%), and 22 (13.8%), respectively. …”
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Necessary Conditions for the Solutions of Second Order Non-linear Neutral Delay Difference Equations to Be Oscillatory or Tend to Zero by R. N. Rath, J. G. Dix, B. L. S. Barik, B. Dihudi

“…We find necessary conditions for every solution of the neutral delay difference equation Δ(rnΔ(yn−pnyn−m))+qnG(yn−k)=fn to oscillate or to tend to zero as n→∞, where Δ is the forward difference operator Δxn=xn+1−xn, and pn, qn, rn are sequences of real numbers with qn≥0, rn>0. Different ranges of {pn}, including pn=±1, are considered in this paper. …”
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On the Komlós–Révész SLLN for Ψ-Mixing Sequences by Zbigniew S. Szewczak

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Global Attractivity and Periodic Character of Difference Equation of Order Four by M. A. Obaid, E. M. Elsayed, M. M. El-Dessoky

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4-H Marine Aquarium Project Book: Youth Project Guide to Starting and Maintaining a Saltwater Aquarium System by R. Prudence Caskey

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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. …”
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Global Stability of a Rational Difference Equation by Guo-Mei Tang, Lin-Xia Hu, Gang Ma

“…We consider the higher-order nonlinear difference equation 𝑥𝑛+1=(𝑝+𝑞𝑥𝑛−𝑘)/(1+𝑥𝑛+𝑟𝑥𝑛−𝑘),𝑛=0,1,… with the parameters, and the initial conditions 𝑥−𝑘,…,𝑥0 are nonnegative real numbers. …”
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Cesàro Summable Sequence Spaces over the Non-Newtonian Complex Field by Uğur Kadak

“…The spaces ω0p, ωp, and ω∞p can be considered the sets of all sequences that are strongly summable to zero, strongly summable, and bounded, by the Cesàro method of order 1 with index p. …”
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On the Difference Equation xn+1=xnxn-k/(xn-k+1a+bxnxn-k) by Stevo Stević, Josef Diblík, Bratislav Iričanin, Zdenĕk Šmarda

“…We show that the difference equation xn+1=xnxn-k/xn-k+1(a+bxnxn-k),n∈ℕ0, where k∈ℕ, the parameters a, b and initial values x-i, i=0,k̅ are real numbers, can be solved in closed form considerably extending the results in the literature. …”
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The Characteristics of PM2.5 Pollution Episodes during 2016–2019 in Sichuan Basin, China by Xiaodong Wu, Guangming Shi, Xing Xiang, Fumo Yang

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Holderian functional central limit theorem for linear processes by Mindaugas Juodis

“… Let (Xt)t ≥ 1 be a linear process defined by Xt =  ∑i=0∞ψi εt-1 where (ψi, i ≥ 0) is a sequence of  real numbers and (εi , i ∈ Z) is a sequence of random variables with null expectation and variance 1. …”
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Solutions of a Quadratic Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems by Hong-Xiu Zhong, Guo-Liang Chen, Xiang-Yun Zhang

“…Given k pairs of complex numbers and vectors (closed under conjugation), we consider the inverse quadratic eigenvalue problem of constructing n×n real matrices M, D, G, and K, where M>0, K and D are symmetric, and G is skew-symmetric, so that the quadratic pencil Q(λ)=λ2M+λ(D+G)+K has the given k pairs as eigenpairs. …”
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The Spectrum of Mapping Ideals of Type Variable Exponent Function Space of Complex Variables with Some Applications by Awad A. Bakery, Mustafa M. Mohammed

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Conceptual images and learning obstacles in exponentiation and logarithms: A hermeneutic phenomenological analysis by Yuvita Andriani Kusumadewi, Riki Andriatna

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On the Recursive Sequence xn=1+∑i=1kαixn−pi/∑j=1mβjxn−qj by Stevo Stevic

“…We give a complete picture regarding the behavior of positive solutions of the following important difference equation: xn=1+∑i=1kαixn−pi/∑j=1mβjxn−qj, n∈ℕ0, where αi, i∈{1,…,k}, and βj, j∈{1,…,m}, are positive numbers such that ∑i=1kαi=∑j=1mβj=1, and pi, i∈{1,…,k}, and qj, j∈{1,…,m}, are natural numbers such that p1<p2<⋯<pk and q1<q2<⋯<qm. …”
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Invaders Galore! by Charles Jacoby, Nanette Holland, Debbi Berger

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Healthy Living: Scrambling for a Variety of Foods by Linda B. Bobroff

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