Investigation of a Biochemical Model with Recycling in Case of Negative Cooperativity by Svetoslav G. Nikolov, Vassil M. Vassilev, Momchil I. Nenov

“…The objective of this paper is to find new dynamic perspectives in a well-known two dimensional nonlinear system which is a modification of the phosphofructo kinase model by incorporating recycling of the product, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>p</mi></semantics></math></inline-formula>, into the substrate, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>s</mi></semantics></math></inline-formula>. …”
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Convergence Speed of Bermudan, Randomized Bermudan, and Canadian Options by Guillaume Leduc

“…We extend our analysis to Canadian options, showing under mild conditions a convergence rate of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1</mn><mo>/</mo><msqrt><mi>n</mi></msqrt></mrow></semantics></math></inline-formula> to their American limits. …”
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Hydrodynamic Characteristics Study of Bionic Dolphin Tail Fin Based on Bidirectional Fluid–Structure Interaction Simulation by Ning Wang, Yu Zhang, Linghui Peng, Wenchuan Zhao

“…Asymmetric motion modes have a certain thrust-enhancing effect, but altering the frequency ratio <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>F</mi></semantics></math></inline-formula> and amplitude ratio <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>H</mi></semantics></math></inline-formula> of heaving motion leads to an increase in pitching moment, reducing swimming stability. …”
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Enhancing Low-Light Images with Kolmogorov–Arnold Networks in Transformer Attention by Alexandru Brateanu, Raul Balmez, Ciprian Orhei, Cosmin Ancuti, Codruta Ancuti

“…This innovative mechanism is the foundation of KAN-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">T</mi></semantics></math></inline-formula>, our proposed Transformer network. …”
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Room-Temperature Fiber-Coupled Single-Photon Source from CdTeSeS Core Quantum Dots by Surasak Chiangga

“…Single-photon emission from CdTeSeS cQDs was verified by measuring the second-order correlation function, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>g</mi><mrow><mfenced><mn>2</mn></mfenced></mrow></msup><mfenced><mi>τ</mi></mfenced></mrow></semantics></math></inline-formula>, using a Hanbury-Brown and Twiss setup. …”
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Analysis of Acoustic Surface Wave Focused Unidirectional Interdigital Transducers Using Coupling-of-Mode Theory by Guopeng Hui, Tinglun Ao, Haotian Liu, Minglei Li, Chen Chen

“…The EWC-FEFUDT (Design 3) has a lower insertion loss (IL) of −5.1 dB and greater unidirectionality (20 × log₁₀(<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>D</mi></mrow></semantics></math></inline-formula>) = 13.8 dB). …”
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KATEGORINIŲ SAKINIŲ SEMANTIKA PORT ROYALIO LOGIKOJE by Laisvūnas Šopauskas

“…Their semantics of categoricals is analysed in three aspects: understanding of syntax, interpretation of elementary parts and dependence on context. …”
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On the Search for Supersingular Elliptic Curves and Their Applications by Ismel Martinez-Diaz, Rashad Ali, Muhammad Kamran Jamil

“…This paper analyzes the search of supersingular elliptic curves in the space of curves over <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="double-struck">F</mi><msup><mi>p</mi><mn>2</mn></msup></msub></semantics></math></inline-formula>. …”
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Stability Analysis of Batch Offline Action-Dependent Heuristic Dynamic Programming Using Deep Neural Networks by Timotei Lala

“…The validation case study shows that BOADHDP with multiple hidden layer NN architecture implementation obtains <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.0034</mn></mrow></semantics></math></inline-formula> on the control benchmark, while the single-hidden-layer NN architectures obtain <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.0049</mn></mrow></semantics></math></inline-formula>, outperforming the former by 1.58% by using the same collected dataset and learning conditions. …”
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Nature–Inspired Metaheuristic Optimization for Control Tuning of Complex Systems by Jesús Garicano-Mena, Matilde Santos

“…The performance of the ALO and WOA techniques for the tuning of conventional PID controllers is evaluated in relation to the number of agents <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>n</mi><mi>S</mi></msub></semantics></math></inline-formula> and the maximum number of iterations <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>n</mi><mrow><mi>M</mi><mi>a</mi><mi>x</mi><mi>I</mi><mi>t</mi><mi>e</mi><mi>r</mi></mrow></msub></semantics></math></inline-formula>; given the stochastic nature of both methods, repeatability is also addressed. …”
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A Comparative Study and Numerical Solutions for the Fractional Modified Lorenz–Stenflo System Using Two Methods by Mohamed Elbadri, Mohamed A. Abdoon, Abdulrahman B. M. Alzahrani, Rania Saadeh, Mohammed Berir

“…This paper provides a solution to the new fractional-order Lorenz–Stenflo model using the adaptive predictor–corrector approach and the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula>-Laplace New Iterative Method (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>L</mi><mi>ρ</mi></msub><mi>N</mi><mi>I</mi><mi>M</mi></mrow></semantics></math></inline-formula>), representing an extensive comparison between both techniques with RK4 related to accuracy and error analysis. …”
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Finite Differences on Sparse Grids for Continuous-Time Heterogeneous Agent Models by Jochen Garcke, Steffen Ruttscheidt

“…Discretizations on sparse grids only involve <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">O</mi><mo>(</mo><mi>N</mi><msup><mrow><mo>(</mo><mo form="prefix">log</mo><mi>N</mi><mo>)</mo></mrow><mrow><mi>d</mi><mo>−</mo><mn>1</mn></mrow></msup><mo>)</mo></mrow></semantics></math></inline-formula> degrees of freedom in comparison to the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">O</mi><mo>(</mo><msup><mi>N</mi><mi>d</mi></msup><mo>)</mo></mrow></semantics></math></inline-formula> degrees of freedom of conventional methods, where <i>N</i> denotes the number of grid points in one coordinate direction and <i>d</i> is the dimension of the problem. …”
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Estimation of Wind Farm Losses Using a Jensen Model Based on Actual Wind Turbine Characteristics for an Offshore Wind Farm in the Baltic Sea by Ziemowit Malecha, Maciej Chorowski

“…Two models are used: the classical Jensen model, assuming a constant thrust coefficient (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>C</mi><mi>T</mi></msub></semantics></math></inline-formula>), and an updated model that incorporates the actual turbine-specific <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>C</mi><mi>T</mi></msub><mrow><mo>(</mo><mi>U</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> characteristics. …”
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An Updated Design Formula for Predicting the Compressive Strength of Plate: Elastic Buckling and Ultimate Compressive Strength by Do Kyun Kim, Hee Yeong Yang, Shen Li, Seungjun Kim

“…The shape of the elastic buckling strength (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mrow><mi>x</mi><mi>E</mi></mrow></msub></mrow></semantics></math></inline-formula>) equation is utilised and adjusted to predict the ultimate compressive strength of the plate. …”
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Relational Almost (<i>ϕ</i>,<i>ψ</i>)-Contractions and Applications to Nonlinear Fredholm Integral Equations by Fahad M. Alamrani, Ebrahem A. Algehyne, Esmail Alshaban, Adel Alatawi, Hamid I. A. Mohammed, Faizan Ahmad Khan

“…This paper deals with the fixed-point findings under relational strict almost <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ϕ</mi><mo>,</mo><mi>ψ</mi><mo>)</mo></mrow></semantics></math></inline-formula>-contraction. …”
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Thompson Sampling for Non-Stationary Bandit Problems by Han Qi, Fei Guo, Li Zhu

“…We show that the regret upper bounds of both algorithms are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mi>O</mi><mo stretchy="false">~</mo></mover><mrow><mo stretchy="false">(</mo><msqrt><mrow><mi>T</mi><msub><mi>B</mi><mi>T</mi></msub></mrow></msqrt><mo stretchy="false">)</mo></mrow></mrow></semantics></math></inline-formula>, where <i>T</i> is the time horizon and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>B</mi><mi>T</mi></msub></semantics></math></inline-formula> is the number of breakpoints. …”
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Energy Transfer of Electronic Excitations by Activators in Phosphates and Sulfates via the Creation of Combined Electron Emission States by Aibek S. Nurpeissov, Temirulan T. Alibay, Turlybek Nurakhmetov, Aivaras Kareiva, Aleksej Zarkov, Sapargali Pazylbek

“…Radiative states are excited by photon energies of ~4.5 eV and ~4.0 eV, resulting in recombination emissions at 3.06–3.1 eV and 2.92–2.95 eV, as well as activator emissions at 2.06 eV for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mi>M</mi><mi>n</mi></mrow><mrow><mn>2</mn><mo>+</mo></mrow></msup></mrow></semantics></math></inline-formula>, 2.5 eV for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mi>T</mi><mi>b</mi></mrow><mrow><mn>3</mn><mo>+</mo></mrow></msup></mrow></semantics></math></inline-formula>, and 2.56 eV and 2.16 eV for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mi>D</mi><mi>y</mi></mrow><mrow><mn>3</mn><mo>+</mo></mrow></msup></mrow></semantics></math></inline-formula>. …”
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Normative Database of Spatiotemporal Gait Metrics Across Age Groups: An Observational Case–Control Study by Lianne Mobbs, Vinuja Fernando, R. Dineth Fonseka, Pragadesh Natarajan, Monish Maharaj, Ralph J. Mobbs

“…The fastest gait speed is observed in the 41–50 age group at <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.35</mn><mtext> </mtext><mo>±</mo><mtext> </mtext><mn>0.23</mn><mtext> </mtext><mi mathvariant="normal">m</mi><mo>/</mo><mi mathvariant="normal">s</mi></mrow></semantics></math></inline-formula>. …”
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On the Komlós–Révész SLLN for Ψ-Mixing Sequences by Zbigniew S. Szewczak

“…The Komlós–Révész strong law of large numbers (SLLN) is proved for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ψ</mi></semantics></math></inline-formula>-mixing sequences without a rate assumption.…”
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On the Static Stability and Seakeeping Performance of a Submerged Floating Tunnel Module in Wet Tow by Ikjae Lee, Chungkuk Jin, Sung-Jae Kim, Moohyun Kim

“…The most probable extreme motion analysis for 3 h under sea state 4 (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>H</mi><mi>S</mi></msub><mo>=</mo><mn>2.44</mn><mtext> </mtext><mi mathvariant="normal">m</mi></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>T</mi><mi>P</mi></msub><mo>=</mo><mn>8.1</mn><mtext> </mtext><mi mathvariant="normal">s</mi></mrow></semantics></math></inline-formula>) shows that the beam sea condition causes the largest heave (0.6 m), and the stern sea (30 deg.) leads to the largest yaw response (0.85 deg.), which is likely to cause an instantaneous decrease in towing stability.…”
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