On a problem of Nathanson related to minimal asymptotic bases of order $h$ by Chen, Shi-Qiang, Sándor, Csaba, Yang, Quan-Hui

“…For $W\subseteq \mathbb{N}$, denote by $\mathcal{F}^*(W)$ the set of all finite, nonempty subsets of $W$. …”
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On Super Mean Labeling for Total Graph of Path and Cycle by Nur Inayah, I. Wayan Sudarsana, Selvy Musdalifah, Nurhasanah Daeng Mangesa

“…The number of vertices of G is called order of G and it is denoted by p. Let G be a (p,q) graph. A super mean graph on G is an injection f:V→{1,2,3…,p+q} such that, for each edge e=uv in E labeled by f⁎e=fu+f(v)/2, the set fV∪{f⁎e:e∈E} forms 1,2,3,…,p+q. …”
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Integral representation of vertical operators on the Bergman space over the upper half-plane by Bais, Shubham R., Venku Naidu, D., Mohan, Pinlodi

“…Let $\Pi $ denote the upper half-plane. In this article, we prove that every vertical operator on the Bergman space $\mathcal{A}^2(\Pi )$ over the upper half-plane can be uniquely represented as an integral operator of the form \begin{equation*} \left(S_\varphi f\right)(z) = \int _{\Pi } f(w) \varphi (z-\overline{w}) d\mu (w),~~\forall f\in \mathcal{A}^2(\Pi ),~z\in \Pi , \end{equation*} where $\varphi $ is an analytic function on $\Pi $ given by \begin{equation*} \varphi (z) = \int _{\mathbb{R}_+}\xi \sigma (\xi ) e^{iz\xi } d\xi , \ \forall z\in \Pi \end{equation*} for some $\sigma \in L^\infty (\mathbb{R}_+)$. …”
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Link-Based Similarity Measures Using Reachability Vectors by Seok-Ho Yoon, Ji-Soo Kim, Jiwoon Ha, Sang-Wook Kim, Minsoo Ryu, Ho-Jin Choi

“…Each element of the vector corresponds to all the objects in the given data, and the value of each element denotes the weight for the corresponding object. As for this weight value, we propose to utilize the probability of reaching from the target object to the specific object, computed using the “Random Walk with Restart” strategy. …”
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Challenges in the Diagnosis and Management of Acquired Nontraumatic Urethral Strictures in Boys in Yaoundé, Cameroon by F. F. Mouafo Tambo, G. Fossi kamga, C. Kamadjou, L. Mbouche, A. S. Nwaha Makon, J. Birraux, O. G. Andze, F. F. Angwafo, P. Y. Mure

“…Urethral strictures in boys denote narrowing of the urethra which can be congenital or acquired. …”
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Global stability for a mosquito-borne disease model with continuous-time age structure in the susceptible and relapsed host classes by Maria Guadalupe Vazquez-Peña, Cruz Vargas-De-León, Jorge Velázquez-Castro

“…On the other hand, asymptomatic infection age denotes the time elapsed since the host became asymptomatic after the primary infection. …”
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Mirative focalization: A case study of Mandarin lian-DP dou construction by Yue Xing

“…Support is threefold – pragmatically, lian-DP dou construction denotes contextually similar implicatures as Sicilian mirative expressions do; semantically, the quantifier dou, serving as a maximality operator, imposes exhaustivity over the alternatives available on a scale and therefore forces the lian-DP to move to SpecdouP; and syntactically, the observable weak crossover effects (WCO) manifest that lian-DP movement is inherently focus fronting. …”
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An Unbridgeable Gap? The Treatment of Definiteness Restrictions in French and Chinese Presentational Constructions by Ludovica Lena

“…At the same time, French definite pivots do not always denote identifiable referents, as is the case of the weak use of the definite article but also the special use of demonstrative determiners in topic-promoting and event-reporting contexts.…”
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General Switch-and-Stay Combing for Space Diversity over Rayleigh Fading Channels by Yawgeng A. Chau, Yao-Hua Chen

“…., switch statistic) are used. Let a and r denote the fading factor and the received baseband signal of a diversity branch, respectively. …”
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Recognition of Finite Bitopological Spaces with Unique Isolated Point by Devi Selvam, Sivaramakrishnan Monikandan

“…The {deck} of a bitopological space $(X, \tau_{1}, \tau_{2})$ is the set $\mathscr{D}(X)=\{[X_{x}]:x\in X\},$ where $[Z]$ denotes the pair-homeomorphism class of $Z$. A bitopological space $X$ is {reconstructible} if whenever $\mathscr{D}(X)=\mathscr{D}(Y)$ then $(X, \tau_{1}, \tau_{2})$ is pair-homeomorphic to $(Y, \tau^{'}_{1}, \tau^{'}_{2})$. …”
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Fractional Sobolev’s Spaces on Time Scales via Conformable Fractional Calculus and Their Application to a Fractional Differential Equation on Time Scales by Yanning Wang, Jianwen Zhou, Yongkun Li

“…t∈a,bTκ2, u(a)-u(b)=0, Tα(u)(a)-Tα(u)(b)=0, where Tα(u)(t) denotes the conformable fractional derivative of u of order α at t, σ is the forward jump operator, a,b∈T,  0<a<b,  p>1, and F:[0,T]T×RN→R. …”
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An Intermediate Value Theorem for the Arboricities by Avapa Chantasartrassmee, Narong Punnim

“…The vertex (edge) arboricity of G denoted by a(G) (a1(G)) is the minimum number of subsets into which the vertex (edge) set of G can be partitioned so that each subset induces an acyclic subgraph. …”
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Hydrological Information related Existed Dam Sites Assessment using ArcGIS in Zawita District by Zahraa Mahmood Klari, Dadvan Hakeem Abdulrahman

“…In other hand, the mismanagement of water resources and unplanned urbanization denoted as the most obstacles for developing the arid and semi-arid regions. …”
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Do Not Be Fooled by Fancy Mutations: Inflammatory Fibroid Polyps Can Harbor Mutations Similar to Those Found in GIST by Bodil Bjerkehagen, Kristin Aaberg, Sonja E. Steigen

“…A subtype of gastric and intestinal polyps is denoted as inflammatory fibroid polyp (IFP). In some of these cases a mutation in PDGFRA is found, leading to the diagnosis of gastrointestinal stromal tumor (GIST). …”
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METAETINIS MORALĖS TYRIMO MODELIS: SEMANTINIS IR EPISTEMOLOGINIS ASPEKTAI by Aleksandras Patapas

“…This new strategy of moral research was primarily based on reflection of essentially casuistic status of previous moral investigations which by and large were based on conotative definitions of ethical terms. An alternative denotative of definition of moral terms is considered as the new strategy of defining moral concepts. …”
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THE MEANING OF SEMANTIC ANALYSIS WITHIN SONG’S LYRICS “A HEAD FULL OF DREAMS” ALBUM BY COLDPLAY by Lilis Sholihah

“…After analyzing the data, the lexical terms found in this song contains 6 denotations, 5 connotations, 1 ambiguity, 10 antonyms and 11 synonyms. …”
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Language and business: Patterns in the annual report translations of public companies in Indonesia by Emma Natasha Octoveria, Aris Munandar

“…Patterns in translating annual reports from Indonesian to English were identified, namely the use of explicitations and implicitations in interactional, cohesive, and denotational manners through translation shifts. The results of this study suggest that annual report translation was made possible through shifts involving changes in syntactic structure and the choice of information to be added, omitted, or substituted.…”
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The Strong Local Diagnosability of a Hypercube Network with Missing Edges by Min Xie, Jiarong Liang, Xi Xiong

“…Based on these results, we conclude that in a hypercube network of n dimensions, denoted by Qn, the SLD of a node is equal to its degree when n⩾4. …”
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ACADEMIC TEXTBOOKS AS A MEDIUM FOR STUDENTS’ INTELLECT DEVELOPMENT IN TEACHING MATHEMATICS by Emanuila G. Gelfman, Marina A. Kholodnaya

“…Secondly, the authors denote the psycho-didactic typology of and requirements for developmental texts.Scientific novelty is related to the specificity of the given academic texts, conveying the structure of the formal mathematical knowledge on the one hand, and on the other hand - developing the basic components of students’ mental experience (including cognitive, conceptual, metacognitive and intentional ones), and creating the conditions for exercising the individual cognitive styles.Practical significance results from activating the individual intellectual resources of school leavers, developing their learning ability and readiness for the future innovative professional and personal life.…”
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Oscillation Criteria for Second-Order Delay, Difference, and Functional Equations by L. K. Kikina, I. P. Stavroulakis

“…Consider the second-order linear delay differential equation x′′(t)+p(t)x(τ(t))=0, t≥t0, where p∈C([t0,∞),ℝ+), τ∈C([t0,∞),ℝ), τ(t) is nondecreasing, τ(t)≤t for t≥t0 and limt→∞τ(t)=∞, the (discrete analogue) second-order difference equation Δ2x(n)+p(n)x(τ(n))=0, where Δx(n)=x(n+1)−x(n), Δ2=Δ∘Δ, p:ℕ→ℝ+, τ:ℕ→ℕ, τ(n)≤n−1, and limn→∞τ(n)=+∞, and the second-order functional equation x(g(t))=P(t)x(t)+Q(t)x(g2(t)), t≥t0, where the functions P, Q∈C([t0,∞),ℝ+), g∈C([t0,∞),ℝ), g(t)≢t for t≥t0, limt→∞g(t)=∞, and g2 denotes the 2th iterate of the function g, that is, g0(t)=t, g2(t)=g(g(t)), t≥t0. …”
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