About Influence of Corridor Tube Bank Geometry on Its Heat Transfer in Cross Flow by A. A. Smаliak

“…A correction factor that denotes an increase of heat transfer coefficient of a corridor tube bank at longitudinal pitch decrease is widely used in educational literature. …”
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Conceptualization of legal terminology: the need for a transparent terminological approach by V. V. Lazariev

“…Although the same term is used to denote an interdisciplinary concept, its conceptualization may differ in various areas of law and different legal systems, which may adversely affect the case because there will be no common approach to understanding the term. …”
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Impact of Isothermal Layering on the Stability of Saline Soil Subgrade in Cold Regions by Yu Zhang, Xuerui Chen, Meisi Zou, Runze Tian, Yunlong Hou, Bingbing Han

“…When the local temperature dropped below -10°C, the stability has slight decline; CS-1 and CS-2 saline soil subgrade in the ground temperature dropped to 10°C (HC-1 and HC-2 denote two groups of saline soil with high chloride-salt content (≥15%) and low sulfate salt content (≤0.5%), whereas CS-1 and CS-2 denote two groups of saline soil with low chloride-salt (≤5%)), the slope stability was significantly improved, and the stability of CS-1 increases slightly with further decrease in temperature.…”
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Analysis of a Stochastic Competitive Model with Distributed Time Delays and Jumps in a Polluted Environment by Taolin Zhang, Yuanfu Shao, Xiaowan She

“…With or without a polluted environment, the model is denoted by (M) or (M0), respectively. The existence of positive solution, persistence in mean, and extinction of species for (M) and (M0) are both studied. …”
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Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions by Reza Sazeedeh

“…Let A denote a commutative Noetherian ring, a be an ideal of A, X be an arbitrary dense subcategory of A-modules, and N be the full subcategory of finite A-modules. …”
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Rings decomposed into direct sums of J-rings and nil rings by Hisao Tominaga

“…Let R be a ring (not necessarily with identity) and let E denote the set of idempotents of R. We prove that R is a direct sum of a J-ring (every element is a power of itself) and a nil ring if and only if R is strongly π-regular and E is contained in some J-ideal of R. …”
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Solving Linear and Nonlinear Fractional Differential Equations Using Spline Functions by Adel Al-Rabtah, Shaher Momani, Mohamed A. Ramadan

“…The proposed method is applicable for 0<α≤1 and α≥1, where α denotes the order of the fractional derivative in the Caputo sense. …”
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A Note on the Regularity Criterion of Weak Solutions of Navier-Stokes Equations in Lorentz Space by Xunwu Yin

“…It is proved that the weak solution is regular if the horizontal velocity denoted by ũ=(u1,u2,0) satisfies ũ(x,t)∈Lq(0,T;Lp,∞(R3))  for  2/q + 3/p=1,  3<p<∞. …”
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Inclusions of Hardy Orlicz spaces by Roshdi Khalil

“…The Hardy-Orlicz space generated by ϕ is denoted by H(ϕ). In this paper, we prove that for ϕ≠ψ, if H(ϕ)=H(ψ) as sets, then H(ϕ)=H(ψ) as topological vector spaces. …”
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Finite and Infinite Arithmetic Progressions Related to Beta-Expansion by Bing Li, Chao Ma

“…Let 1<β<2 and ε(x,β) be the β-expansion of x∈[0,1). Denote by Aβ(x) the set of positions where the digit 1 appears in ε(x,β). …”
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Homotopy Characterization of ANR Function Spaces by Jaka Smrekar

“…Let Y be an absolute neighbourhood retract (ANR) for the class of metric spaces and let X be a topological space. Let YX denote the space of continuous maps from X to Y equipped with the compact open topology. …”
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An Iterative Decomposed Piecewise-Linear Model Description by Victor Jimenez-Fernandez, Luis Hernandez-Martinez, Arturo Sarmiento-Reyes

“…A model description for the representation of one-dimensional piecewise-linear characteristics is presented. The model can be denoted as a decomposed one, because the independent and dependent variables of the PWL characteristic are treated separately. …”
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Local extrema in random trees by Lane Clark

“…., local minima) in a tree T∈𝒯n rooted at r∈[n] is denoted by Mr(T) (resp., by mr(T)). We find exact formulas as rational functions of n for the expectation and variance of M1(T) and mn(T) when T∈𝒯n is chosen randomly according to a uniform distribution. …”
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The Range of the Spectral Projection Associated with the Dunkl Laplacian by Salem Ben Said, Hatem Mejjaoli

“…For s∈ℝ, denote by Pksf the “projection” of a function f in Dℝd into the eigenspaces of the Dunkl Laplacian Δk corresponding to the eigenvalue −s2. …”
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Nonseparated manifolds and completely unstable flows by Sudhir K. Goel

“…Here, a nonseparated manifold denotes any topological space that is locally Euclidean and has a countable basis; the usual Hausdorff separation property is not required. …”
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On the Hosoya Indices of Bicyclic Graphs with Small Diameter by Tingzeng Wu, Yong Yu

“…The Hosoya index of G, denoted by zG, is defined as the total number of its matchings. …”
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On the Distribution Properties of the Smarandache Prime Part by Yahui Yu, Jiayuan Hu

“…For each integer n, denote by ppn the largest prime ≤n and by Ppn the smallest prime ≥n, called as the Smarandache inferior prime part and superior prime part of n, respectively. …”
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The particle size distribution (PSD) as criteria for comparison of silver powders obtained by different methods of synthesis and by conditions of electrolysis by Avramović Lj., Bugarin M., Milanović D., Conić V., Pavlović M.M., Vuković M., Nikolić N.D.

“…In the DC regime, the current densities of –14.4 mA cm-2 for the nitrate (NIT; powder denoted with DC(NIT)) and –13.05 mA cm-2 for the ammonium (AM; DC(AM)) electrolytes were applied. …”
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Some Remarks on Spaces of Morrey Type by Loredana Caso, Roberta D'Ambrosio, Sara Monsurrò

“…We deepen the study of some Morrey type spaces, denoted by Mp,λ(Ω), defined on an unbounded open subset Ω of ℝn. …”
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Certain integral operator and strongly starlike functions by Jin-Lin Liu

“…Let S∗(ρ,γ) denote the class of strongly starlike functions of order ρ and type γ and let C(ρ,γ) be the class of strongly convex functions of order ρ and type γ. …”
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