Optimal recovery of operators in sequence spaces by V.F. Babenko, N.V. Parfinovych, D.S. Skorokhodov

“…In this paper we solve the problem of optimal recovery of the operator $A_\alpha x= (\alpha_1x_1,\alpha_2x_2,\ldots)$ on the class $W^T_q = \{(t_1h_1,t_2h_2,\ldots)\,:\,\|h\|_{\ell_q}\le 1\}$, where $1\le q < \infty$ and $t_1\ge t_2\ge \ldots \ge 0$, and $\alpha_1t_1\ge\alpha_2t_2\ge\ldots\ge 0$ are given, in the space $\ell_q$. …”
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Score-Valued Decision Making Models Based on Inverse Soft Matrices by Seda Erdinç, Emin Aygün

“…In this work, we introduce some useful concepts  in soft set theory, such as $\overline{\alpha}$-inverse intersection and  $\overline{\alpha}$-inverse union of inverse soft sets, together with  the type soft $\overline{\alpha}$-upper, $\overline{\alpha}$-lower, $\overline{\alpha}$-intersection and $\overline{\alpha}$-union of inverse soft matrices.  …”
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Shadows and accretion disk images of charged rotating black hole in modified gravity theory by He-Bin Zheng, Meng-Qi Wu, Guo-Ping Li, Qing-Quan Jiang

“…For the accretion disk, it shows that the inner shadow expands with $$\alpha $$ α , while decreases with Q. The increase of $$\alpha $$ α exhibits an increasing effect on redshift. …”
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Doubly critical problems involving Sub-Laplace operator on Carnot group by Shuhai Zhu

“…This paper was focused on the solvability of a class of doubly critical sub-Laplacian problems on the Carnot group $ \mathbb{G} $: \begin{document}$ -\Delta_{\mathbb{G}}u-\mu \frac{\psi^{2}(\xi) u }{\text{d}(\xi)^2} = \vert u\vert^{p-2}u +\psi^{\alpha}(\xi)\frac{\vert u\vert^{2^*(\alpha)-2}u}{\text{d}(\xi)^{\alpha}}, \quad u\in S^{1, 2}(\mathbb{G}). …”
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On weakly prime-additive numbers with length $4k+3$ by Fang, Jin-Hui, Xue, Fang-Gang

“…If a positive integer $n$ has at least two distinct prime divisors and can be written as $n=p_1^{\alpha _1}+\dots +p_t^{\alpha _t}$, where $p_1<\dots 3$. …”
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Superderivations and Jordan superderivations of generalized quaternion algebras by Leila Heidari Zadeh

“…Let $H_{\alpha,\beta}$ be the generalized quaternion algebra over a unitary commutative ring. …”
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Fractalization of Fractional Integral and Composition of Fractal Splines by Gowrisankar Arulprakash

“…The present study perturbs the fractional integral of a continuous function $f$ defined on a real compact interval, say $(\mathcal{I}^vf)$ using a family of fractal functions $(\mathcal{I}^vf)^\alpha$ based on the scaling parameter $\alpha$. To elicit this phenomenon, a fractal operator is proposed in the space of continuous functions, an analogue to the existing fractal interpolation operator which perturbs $f$ giving rise to $\alpha$-fractal function $f^\alpha$. …”
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The small condition for modules with Noetherian dimension by Nasrin Shirali, Hooriya Kavoosi Ghafi, Sayed Malek Javdannezhad

“…As a main result, it is shown that if $M$ is a  module with  finite hollow dimension which satisfies the  small condition, then $\alpha \leq n-dim\, M\leq \alpha+1$, where  $\alpha=\sup\{ n-dim\,S: S\ll M\}$. …”
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PAGR: Accelerating Global Routing for VLSI Design Flow by Roman A. Solovyev, Ilya A. Mkrtchan, Dmitry V. Telpukhov, Ilya I. Shafeev, Aleksandr Y. Romanov, Yevgeniy V. Stolbikov, Alexander L. Stempkovsky

“…In this paper, we present PAGR (Python Alpha Global Routing) &#x2013; a solution to the global routing problem in physical synthesis based on data from the ISPD 2024 contest. …”
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Boundedness of classical solutions to a chemotaxis consumption system with signal dependent motility and logistic source by Baghaei, Khadijeh

“…Here, the functions $\gamma (v)$ and $\xi (v)$ are as: \begin{equation*} \gamma (v)=(1+v)^{-k}\quad \text{and} \quad \xi (v)=-(1-\alpha )\gamma ^{\prime }(v), \end{equation*} where $k>0$ and $\alpha \in (0,1).…”
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Correction to &#x201C;Energy Efficient Signal Detection Using SPRT and Ordered Transmissions in Wireless Sensor Networks&#x201D; by Shailee Yagnik, Ramanarayanan Viswanathan, Lei Cao

“…In [1, p. 1124], a footnote is needed on (13) as shown below: \begin{equation*}\qquad\qquad\quad{{\alpha }^\# } < \left( {1 - {{c}_1}} \right)\alpha + \left( {1 - \left( {1 - {{c}_1}} \right)\alpha } \right)\alpha\qquad\qquad\quad \hbox{(13)$^{1}$} \end{equation*}…”
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The Bergen Facebook addiction scale: a reliability generalization meta-analysis by Jian-Ling Ma, ZhengCheng Jin, Chang Liu

“…We performed a reliability generalization meta-analysis involving 173,641 participants across 127 articles, which reported 147 Cronbach’s alpha values for internal consistency. The random-effects model revealed that the pooled Cronbach’s alpha values were 0.8535 (95% CI [0.8409, 0.8660]) for the BFAS and 0.8248 (95% CI [0.8116, 0.8380]) for the BSMAS. …”
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Troop Takeover and Reproductive Success of Wild Male Japanese Macaques on Yakushima Island (Macaca fuscata yakui) by Sachiko Hayakawa, Joseph Soltis

“…Troop takeovers occurred only in the mating season; nontroop males (NTMs) did not cooperate with each other; former alpha males were rarely expelled from the troop; new alpha males did not commit infanticide; new alpha male tenure in the group was usually less than two years. …”
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Electroencephalographic markers in Major Depressive Disorder: insights from absolute, relative power, and asymmetry analyses by Mehmet Akif Özçoban, Oğuz Tan

“…Additionally, asymmetry values in theta, alpha, and beta bands may serve as potential biomarkers for MDD. …”
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Rényi relative entropy based monogamy of entanglement in tripartite systems by Marwa Mannaï, Hisham Sati, Tim Byrnes, Chandrashekar Radhakrishnan

“…In the traditional Rényi relative entropy, the generalization parameter $$\alpha$$ can take values only in the range $$0 \le \alpha \le 2$$ due to the requirements of joint convexity of the measure. …”
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THE STRUCTURE OF GRAPHS ON \(n\) VERTICES WITH THE DEGREE SUM OF ANY TWO NONADJACENT VERTICES EQUAL TO \(n-2\) by Do Nhu An

“…We show that, for \(n\geq3\) is an odd number then \(\alpha(G)=2\) and \(G\) is a disconnected graph; for \(n\geq4\) is an even number then \(2\leq\alpha(G)\leq(n+2)/2\), where if \(\alpha(G)=2\) then \(G\) is a disconnected graph, otherwise \(G\) is a connected graph, \(G\) contains  \(k\) total vertices and \(n-k\) vertices of degree \(\delta=(n-2)/2\), where \(0\leq k\leq(n-2)/2\). …”
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Holographic drag force with translational symmetry breaking by Sara Tahery, Kazem Bitaghsir Fadafan, Sahar Mojarrad Lamanjouei

“…In this asymptotic $$\hbox {AdS}_5$$ AdS 5 background, we will demonstrate that a decrease in $$\alpha $$ α results in a reduction of the drag force. …”
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Subliminal visual stimulation produces behavioural oscillations in multiple frequencies in a visual integration task by Michelle Johannknecht, Alfons Schnitzler, Joachim Lange

“…These fluctuations were found in the range of theta, alpha and beta oscillations. Our results further support the idea, that alpha oscillations are a functional rhythm for visual perception, leading to rhythmic fluctuations of perception and behaviour. …”
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Some estimates of multilinear operators on tent spaces by Heng Yang, Jiang Zhou

“…Let $ 0 < \alpha < mn $ and $ 0 < r, q < \infty $. In this paper, we obtain the boundedness of some multilinear operators by establishing pointwise inequalities and applying extrapolation methods on tent spaces $ T_{r}^{q}(\mathbb{R}_{+}^{n+1}) $, where these multilinear operators include multilinear Hardy–Littlewood maximal operator $ \mathcal{M} $, multilinear fractional maximal operator $ \mathcal{M}_{\alpha} $, multilinear Calderón–Zygmund operator $ \mathcal{T} $, and multilinear fractional integral operator $ \mathcal{I}_{\alpha} $. …”
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Pericardial Effusion due to Infliximab Therapy for Ulcerative Colitis by Muhammad Mirza, Maira Mirza, Vagishwari Murugesan, Arrel Olano

“…Antitumor necrosis factor alpha (anti-TNF alpha) agents such as infliximab are drugs that have been used for the treatment of ulcerative colitis for decades. …”
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