Information-Reduction Ability Assessment in the Context of Complex Problem-Solving by Xiaoxuan Bu, Huijia Zheng, Xuetao Tian, Fang Luo

“…., “information reduction”, is becoming more crucial to daily functioning. However, the fact that information reduction is most prominent in complex situations poses challenges for measuring and quantifying this ability. …”
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On Computation of Prefactor of Free Boundary in One Dimensional One-Phase Fractional Stefan Problems by Nahuel Caruso, Sabrina Roscani, Lucas Venturato, Vaughan Voller

“…We consider the melting of a one-dimensional domain (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>x</mi><mo>≥</mo><mn>0</mn></mrow></semantics></math></inline-formula>), initially at the melting temperature <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>u</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula>, by fixing the boundary temperature to a value <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>u</mi><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mi>t</mi><mo>)</mo></mrow><mo>=</mo><msub><mi>U</mi><mn>0</mn></msub><mo>></mo><mn>0</mn></mrow></semantics></math></inline-formula>—the so called Stefan melting problem. …”
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Finite Nuclear Size Effect on the Relativistic Hyperfine Splittings of 2<i>s</i> and 2<i>p</i> Excited States of Hydrogen-like Atoms by Katharina Lorena Franzke, Uwe Gerstmann

“…For the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1</mn><mi>s</mi></mrow></semantics></math></inline-formula> ground state and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>2</mn><mi>s</mi></mrow></semantics></math></inline-formula> excited state of the one-electron systems <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mmultiscripts><mi mathvariant="normal">H</mi><none></none><none></none><mprescripts></mprescripts><none></none><mn>1</mn></mmultiscripts></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mmultiscripts><mi mathvariant="normal">H</mi><none></none><none></none><mprescripts></mprescripts><none></none><mn>2</mn></mmultiscripts></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mmultiscripts><mi mathvariant="normal">H</mi><none></none><none></none><mprescripts></mprescripts><none></none><mn>3</mn></mmultiscripts></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mmultiscripts><mi>He</mi><none></none><mo>+</mo><mprescripts></mprescripts><none></none><mn>3</mn></mmultiscripts></semantics></math></inline-formula>, the calculated finite-size related hyperfine shifts are quite similar for the different structure models and in excellent agreement with those estimated by comparing QED and experiment. …”
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Evaluative vocabulary as a method for quality presentation in advertising of children's products by E.A. Vazhdaeva

“…The functioning of lexemes with evaluative semantics in the texts of advertising of products for children aged from 0 to 3 years was analyzed. …”
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On the Study of Solutions for a Class of Third-Order Semilinear Nonhomogeneous Delay Differential Equations by Wenjin Li, Jiaxuan Sun, Yanni Pang

“…Moreover, under these criteria, we demonstrate that the global oscillatory behavior of solutions remains unaffected by time-delay functions, nonhomogeneous terms, or nonlinear perturbations when <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>α</mi><mo>=</mo><mn>1</mn><mo>.…”
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Mapping the Λ_sCDM Scenario to <i>f</i>(<i>T</i>) Modified Gravity: Effects on Structure Growth Rate by Mateus S. Souza, Ana M. Barcelos, Rafael C. Nunes, Özgür Akarsu, Suresh Kumar

“…However, when considered within general relativity, this scenario does not predict any effects on the evolution of the matter density contrast beyond modifications to the background functions. In this work, we propose a new gravitational model in which the background dynamics predicted by the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="sans-serif">Λ</mi><mi mathvariant="normal">s</mi></msub></semantics></math></inline-formula>CDM framework are mapped into <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>T</mi><mo>)</mo></mrow></semantics></math></inline-formula> gravity, dubbed <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mrow><mo>(</mo><mi>T</mi><mo>)</mo></mrow><mtext>-</mtext><msub><mi mathvariant="sans-serif">Λ</mi><mi mathvariant="normal">s</mi></msub></mrow></semantics></math></inline-formula>CDM, rendering the models indistinguishable at the background level. …”
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Gaussian Process with Vine Copula-Based Context Modeling for Contextual Multi-Armed Bandits by Jong-Min Kim

“…Context vectors are generated using Gaussian and vine copulas to capture nonlinear dependencies, while arm-specific reward functions are modeled via GP regression with Beta-distributed targets. …”
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Dynamic-Step-Size Regulation in Pulse-Coupled Neural Networks by Jiayi Geng, Fanqing Ji, Shouliang Li, Yulin Shen, Zhen Yang

“…A dynamic-step-size mechanism is proposed, utilizing trigonometric functions to adaptively control segmentation granularity, along with the supervised optimization of a single parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϕ</mi></semantics></math></inline-formula> via intersection over union (IoU) maximization, reducing tuning complexity. …”
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On the Three-Dimensional Shape of a Crystal by Emanuel Indrei, Aram Karakhanyan

“…The purpose of this paper is to investigate the Almgren problem in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mn>3</mn></msup></semantics></math></inline-formula> under generic conditions on the potential and tension functions which define the free energy. …”
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The Role of Cognitive Performance in Older Europeans’ General Health: Insights from Relative Importance Analysis by Eleni Serafetinidou, Christina Parpoula

“…This study explores the role of cognitive performance in the general health of older Europeans aged 50 and over, focusing on gender differences, using data from 336,500 respondents in the sixth wave of the Survey of Health, Aging, and Retirement in Europe (SHARE). Cognitive functioning was assessed through self-rated reading and writing skills, orientation in time, numeracy, memory, verbal fluency, and word-list learning. …”
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NeuroFlex: Feasibility of EEG-Based Motor Imagery Control of a Soft Glove for Hand Rehabilitation by Soroush Zare, Sameh I. Beaber, Ye Sun

“…The glove’s soft, lightweight, and flexible design enables users to perform rehabilitation exercises involving fist formation and grasping movements, aligning with natural hand functions for fine motor practices. The results show that the accuracy of decoding the intent of fingers making a fist from MI EEG can reach up to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>85.3</mn><mo>%</mo></mrow></semantics></math></inline-formula>, with an average AUC of 0.88. …”
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Effect of Confinement on the Structural, Dielectric, and Dynamic Properties of Liquid Crystals in Anopores by Pavel V. Maslennikov, Alex V. Zakharov

“…The distance-dependent values of the order parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>P</mi><mn>2</mn></msub><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, the relaxation time <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>τ</mi><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow><mo>≡</mo><msubsup><mi>τ</mi><mn>00</mn><mn>1</mn></msubsup><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, the rotational diffusion coefficient <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>D</mi><mo>⊥</mo></msub><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, and both rotational viscosity coefficients <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>γ</mi><mi>i</mi></msub><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>i</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></semantics></math></inline-formula>) as functions of the distance <i>r</i> away from the bounding surface are calculated by a combination of existing statistical-mechanical approaches and data obtained by the BDS technique. …”
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Common Neighborhood Energy of the Non-Commuting Graphs and Commuting Graphs Associated with Dihedral and Generalized Quaternion Groups by Hanaa Alashwali, Anwar Saleh

“…We derive explicit formulas for the CN characteristic polynomials and corresponding CN eigenvalues for both the NCM-graph and CM-graph as functions of <i>n</i>. Consequently, we establish closed-form expressions for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>E</mi><mrow><mi>C</mi><mi>N</mi></mrow></msub></semantics></math></inline-formula> of these graphs, which are parameterized by <i>n</i>. …”
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Excess Thermodynamic Properties and FTIR Studies of Binary Mixtures of Toluene with 2-Propanol or 2-Methyl-1-Propanol by Maria Magdalena Naum, Vasile Dumitrescu

“…The values of thermodynamic functions of activation of viscous flow were computed and analyzed. …”
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Information Propagation in Hypergraph-Based Social Networks by Hai-Bing Xiao, Feng Hu, Peng-Yue Li, Yu-Rong Song, Zi-Ke Zhang

“…Social networks, functioning as core platforms for modern information dissemination, manifest distinctive user clustering behaviors and state transition mechanisms, thereby presenting new challenges to traditional information propagation models. …”
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Pair of Associated <i>η</i>-Ricci–Bourguignon Almost Solitons with Vertical Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds by Mancho Manev

“…Each of the two B-metrics on the considered manifold is specialized here as an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula>-Ricci–Bourguignon almost soliton, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula> is the contact form, i.e., has an additional curvature property such that the metric is a self-similar solution of a special intrinsic geometric flow. …”
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Advanced Stability Analysis for Fractional-Order Chaotic DC Motors Subject to Saturation and Rate Limitations by Esmat Sadat Alaviyan Shahri, Yangquan Chen, Naser Pariz

“…The proposed methodology employs indirect, direct, and composite Lyapunov functions to derive sufficient stability conditions under four scenarios: unconstrained input, saturation-only, rate-limited-only, and combined constraints. …”
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A POD-Based Reduced-Dimension Method for Solution Coefficient Vectors in the Crank–Nicolson Mixed Finite Element Method for the Fourth-Order Parabolic Equation by Xiaohui Chang, Hong Li

“…The reduced-dimension method employs identical basis functions, unlike standard CNMFE methods. It significantly reduces the number of unknowns in the computations, thereby effectively decreasing computational time, while there is no loss of accuracy. …”
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Novel Approach to Diagnose Safe Electrical Power Distribution by Lars Braun, Minh Le, Jürgen Motz, Kai Peter Birke

“…Safety-relevant consumers are critical loads, for example, electric power steering, braking systems with functionalities like Anti-Lock Braking or Electronic Stability Control, and autonomous drive systems. …”
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Integral Representation for Three-Dimensional Steady-State Couple-Stress Size-Dependent Thermoelasticity by Ali R. Hadjesfandiari, Arezoo Hajesfandiari, Gary F. Dargush

“…As a result, the size-dependent behavior is specified entirely by a single characteristic length scale parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>l</mi></semantics></math></inline-formula>, while the thermal coupling is defined in terms of the thermal expansion coefficient <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>, as in the classical theory of steady-state isotropic thermoelasticity.…”
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