On the Asymptotic Expansions of the (<i>p</i>,<i>k</i>)-Analogues of the Gamma Function and Associated Functions by Tomislav Burić

“…General asymptotic expansion of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>k</mi><mo>)</mo></mrow></semantics></math></inline-formula>-gamma function is obtained and various approaches to this expansion are studied. …”
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Question–Answer Methodology for Vulnerable Source Code Review via Prototype-Based Model-Agnostic Meta-Learning by Pablo Corona-Fraga, Aldo Hernandez-Suarez, Gabriel Sanchez-Perez, Linda Karina Toscano-Medina, Hector Perez-Meana, Jose Portillo-Portillo, Jesus Olivares-Mercado, Luis Javier García Villalba

“…Proto-MAML demonstrates strong performance across multiple programming languages, achieving an average precision of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>98.49</mn><mo>%</mo></mrow></semantics></math></inline-formula>, recall of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>98.54</mn><mo>%</mo></mrow></semantics></math></inline-formula>, F1-score of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>98.78</mn><mo>%</mo></mrow></semantics></math></inline-formula>, and exact match rate of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>98.78</mn><mo>%</mo></mrow></semantics></math></inline-formula> in PHP, Java, C, and C++.…”
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Application of Statistical Methods for the Characterization of Radon Distribution in Indoor Environments: A Case Study in Lima, Peru by Rafael Liza, Félix Díaz, Patrizia Pereyra, Daniel Palacios, Nhell Cerna, Luis Curo, Max Riva

“…The results revealed significant temporal variability in radon concentrations, with geometric means of 146.4 Bq·<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mtext>m</mtext><mrow><mo>−</mo><mn>3</mn></mrow></msup></semantics></math></inline-formula>, 162.3 Bq·<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mtext>m</mtext><mrow><mo>−</mo><mn>3</mn></mrow></msup></semantics></math></inline-formula>, and 150.8 Bq·<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mtext>m</mtext><mrow><mo>−</mo><mn>3</mn></mrow></msup></semantics></math></inline-formula>, respectively, across the three periods. …”
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Efficient and Secure Traffic Scheduling Based on Private Sketch by Yang Chen, Huishu Wu, Xuhao Ren

“…The key idea is to develop a randomized admission (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>R</mi><mi>A</mi></mrow></semantics></math></inline-formula>) structure, linking two count–mean–min (CMM) sketches. …”
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Discrete Fractional-Order Modeling of Recurrent Childhood Diseases Using the Caputo Difference Operator by Yasir A. Madani, Zeeshan Ali, Mohammed Rabih, Amer Alsulami, Nidal H. E. Eljaneid, Khaled Aldwoah, Blgys Muflh

“…The stability analysis indicates that the disease-free equilibrium point is stable when <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="script">R</mi><mn>0</mn></msub><mo><</mo><mn>1</mn></mrow></semantics></math></inline-formula>, while the endemic equilibrium point is stable when <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="script">R</mi><mn>0</mn></msub><mo>></mo><mn>1</mn></mrow></semantics></math></inline-formula> and otherwise unstable. …”
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The Discrete Ueda System and Its Fractional Order Version: Chaos, Stabilization and Synchronization by Louiza Diabi, Adel Ouannas, Amel Hioual, Giuseppe Grassi, Shaher Momani

“…Advanced complexity measures, including approximation entropy (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><mi>p</mi><mi>E</mi><mi>n</mi></mrow></semantics></math></inline-formula>) and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>C</mi><mn>0</mn></msub></semantics></math></inline-formula> complexity, are applied to validate and measure the nonlinear and chaotic nature of the system; the results indicate a high level of complexity. …”
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Information Theoretical Analysis of Quantum Mixedness in a Finite Model of Interacting Fermions by Diana Monteoliva, Angelo Plastino, Angel Ricardo Plastino

“…In this study, we utilize information theory tools to investigate notable features of the quantum degree of mixedness (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>C</mi><mi>f</mi></msub></semantics></math></inline-formula>) in a finite model of <i>N</i> interacting fermions. …”
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Modeling Anomalous Transport of Cosmic Rays in the Heliosphere Using a Fractional Fokker–Planck Equation by José Luis Díaz Palencia

“…The model parameters, including the fractional orders <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula> and the entropic index <i>q</i>, are estimated by a short comparison between theoretical predictions and observational data from cosmic ray experiments. …”
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Black Holes Have More States than Those Defined by the Bekenstein–Hawking Entropy: A Simple Argument by Carlo Rovelli

“…It is often assumed that the maximum number of independent states a black hole may contain is <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>N</mi><mrow><mi>B</mi><mi>H</mi></mrow></msub><mo>=</mo><msup><mi>e</mi><msub><mi>S</mi><mrow><mi>B</mi><mi>H</mi></mrow></msub></msup></mrow></semantics></math></inline-formula>, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>S</mi><mrow><mi>B</mi><mi>H</mi></mrow></msub><mo>=</mo><mi>A</mi><mo>/</mo><mn>4</mn></mrow></semantics></math></inline-formula> is the Bekenstein–Hawking entropy and <i>A</i> is the horizon area in Planck units. …”
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The Cyclically Resolvable Steiner Triple Systems of Order 57 by Svetlana Topalova, Stela Zhelezova

“…They have been classified up to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>v</mi><mo>=</mo><mn>45</mn></mrow></semantics></math></inline-formula> and before the present work <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>v</mi><mo>=</mo><mn>57</mn></mrow></semantics></math></inline-formula> was the first open case. …”
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Nonrelativistic Approximation in the Theory of a Spin-2 Particle with Anomalous Magnetic Moment by Alina Ivashkevich, Viktor Red’kov, Artur Ishkhanyan

“…We apply the general method for performing the nonrelativistic approximation, which is based on the structure of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>50</mn><mo>×</mo><mn>50</mn></mrow></semantics></math></inline-formula> matrix <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mo>Γ</mo><mn>0</mn></msup></semantics></math></inline-formula> of the main equation. …”
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Physics-Informed Neural Networks for Modal Wave Field Predictions in 3D Room Acoustics by Stefan Schoder

“…Similar relative errors were obtained for the case <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>s</mi><mo>=</mo><mn>0.2</mn></mrow></semantics></math></inline-formula> m using adaptive refinement. …”
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Effect of Body-Weight-Based Resistance Training on Balance Ability and Fear of Falling in Community-Dwelling Older Japanese Women by Zhenyue Liu, Shuji Sawada, Pengyu Deng, Hisashi Naito, Shuichi Machida

“…Results: Significant interactions were observed in the CS-30 (F = 9.503, <i>p</i> < 0.01, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>η</mi><mi>p</mi><mn>2</mn></msubsup></semantics></math></inline-formula> = 0.312), OLST-O (F = 5.211, <i>p</i> < 0.05, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>η</mi><mi>p</mi><mn>2</mn></msubsup></semantics></math></inline-formula> = 0.199), and OLST-C (F = 5.257, <i>p</i> < 0.05, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>η</mi><mi>p</mi><mn>2</mn></msubsup></semantics></math></inline-formula> = 0.200), though significant simple main effects from pre to post were observed only in the LRT group. …”
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On the Relationship between Frames and Emotionality in Text by Enrica Troiano, Roman Klinger, Sebastian Padó

“…We shift our attention to word relations. We leverage Frame Semantics, a prominent theory for the description of predicate-argument structures, which matches the study of emotions: frames build on a “semantics of understanding” whose assumptions rely precisely on people’s world knowledge. …”
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On Analytical Continuation of the Horn’s Hypergeometric Functions <i>H</i>₃ and Their Ratios by Roman Dmytryshyn, Tamara Antonova, Sofiia Hladun

“…This paper considers the Horn’s hypergeometric function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mn>3</mn></msub></semantics></math></inline-formula>, which is closely related to other hypergeometric functions and has various mathematical or physical applications. …”
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Greedy Algorithm for Deriving Decision Rules from Decision Tree Ensembles by Evans Teiko Tetteh, Beata Zielosko

“…They show that, as the value of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mo>≤</mo><mi>α</mi><mo><</mo><mn>1</mn></mrow></semantics></math></inline-formula>, increases, shorter rules are obtained, and also it is possible to improve the classification accuracy of rule-based models.…”
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An Introduction to i-Commutative Rings by Muhammad Saad, Usama A. Aburawash, Ahmed M. A. El-Sayed, Nour Nabil

“…In particular, we study rings with the property that, whenever <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>a</mi><mi>b</mi><mo>+</mo><mi>c</mi><mi>d</mi></mrow></semantics></math></inline-formula> is a nontrivial idempotent, then <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>b</mi><mi>a</mi><mo>+</mo><mi>d</mi><mi>c</mi></mrow></semantics></math></inline-formula> is idempotent. …”
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Predicting Photovoltaic Module Lifespan Based on Combined Stress Tests and Latent Heat Analysis by Woojun Nam, Jinho Choi, Gyugwang Kim, Jinhee Hyun, Hyungkeun Ahn, Neungsoo Park

“…<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>Q</mi></mrow><mrow><mi>m</mi><mi>o</mi><mi>d</mi></mrow></msub></mrow></semantics></math></inline-formula> facilitates in predicting a PV module’s lifespan according to the environmental factors of the actual installation area. …”
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Distinguishing Compact Objects in Extreme-Mass-Ratio Inspirals by Gravitational Waves by Lujia Xu, Shucheng Yang, Wenbiao Han, Xingyu Zhong, Rundong Tang, Yuanhao Zhang

“…We evaluate the accuracy of parameter estimation for these simulated waveforms using the Fisher Information Matrix (FIM) and find that the spin, tidal-induced quadruple, and spin-induced quadruple can all be measured with precision ranging from <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mrow><mo>−</mo><mn>2</mn></mrow></msup></semantics></math></inline-formula> to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mrow><mo>−</mo><mn>1</mn></mrow></msup></semantics></math></inline-formula>, particularly for a mass ratio of ∼<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mrow><mo>−</mo><mn>4</mn></mrow></msup></semantics></math></inline-formula>. …”
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Large-Eddy Simulation of the Flow Past a Circular Cylinder at Re = 130,000: Effects of Numerical Platforms and Single- and Double-Precision Arithmetic by Dmitry A. Lysenko

“…Numerical simulations of sub-critical flow past a circular cylinder at Reynolds number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mi mathvariant="normal">R</mi><mi mathvariant="normal">e</mi></mrow></mrow></semantics></math></inline-formula> = 130,000 are performed using two numerical platforms: the commercial, Ansys Fluent, and the open-source, OpenFOAM (finite volume method and large-eddy simulation based on a differential equation for the sub-grid kinetic energy). …”
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