A Scenario for Origin of Global 4 mHz Oscillations in Solar Corona by Li Xue, Chengliang Jiao, Lixin Zhang

“…We establish a spherically symmetric model of solar atmosphere, which consists of the whole chromosphere and low corona below the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.25</mn></mrow></semantics></math></inline-formula> solar radius. …”
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Finite Local Rings of Length 4 by Sami Alabiad, Alhanouf Ali Alhomaidhi, Nawal A. Alsarori

“…</mo></mrow></semantics></math></inline-formula>…”
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On the Uniform Projection Problem in Descriptive Set Theory by Vladimir Kanovei, Vassily Lyubetsky

“…For every <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="double-struck">n</mi><mo>≥</mo><mn>1</mn></mrow></semantics></math></inline-formula>, generic models of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold">ZFC</mi></semantics></math></inline-formula> will be presented for either of the following two sentences: 1. …”
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Strongly Coupled 𝒫𝒯-Symmetric Models in Holography by Daniel Areán, David Garcia-Fariña, Karl Landsteiner

“…Generically, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-symmetric non-Hermitian theories can also feature phases where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula> symmetry is broken and unitarity is lost. …”
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On Value Distribution for the Mellin Transform of the Fourth Power of the Riemann Zeta Function by Virginija Garbaliauskienė, Audronė Rimkevičienė, Mindaugas Stoncelis, Darius Šiaučiūnas

“…In this paper, the asymptotic behavior of the modified Mellin transform <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="script">Z</mi><mn>2</mn></msub><mrow><mo>(</mo><mi>s</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>s</mi><mo>=</mo><mi>σ</mi><mo>+</mo><mi>i</mi><mi>t</mi></mrow></semantics></math></inline-formula>, of the fourth power of the Riemann zeta function is characterized by weak convergence of probability measures in the space of analytic functions. …”
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Approximation and the Multidimensional Moment Problem by Octav Olteanu

“…First, approximations on a Cartesian product of intervals by polynomials taking nonnegative values on the entire <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mi mathvariant="double-struck">R</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></semantics></math></inline-formula>, or on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi mathvariant="double-struck">R</mi></mrow><mrow><mo>+</mo></mrow><mrow><mn>2</mn></mrow></msubsup></mrow></semantics></math></inline-formula>, are considered. …”
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Modeling Seed Longevity and Percentile Prediction: A Sigmoidal Function Approach in Soybean, Maize, and Tomato by Felipe Souza Carvalho, Brunna Rithielly Rezende, Amanda Rithieli Pereira dos Santos, Maria Márcia Pereira Sartori

“…Additionally, it seeks to determine the performance of these models in predicting <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>P</mi></mrow><mrow><mn>50</mn></mrow></msub></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>P</mi></mrow><mrow><mn>85</mn></mrow></msub></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>P</mi></mrow><mrow><mn>25</mn></mrow></msub></mrow></semantics></math></inline-formula>. …”
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Scalar Field Kantowski–Sachs Solutions in Teleparallel <i>F</i>(<i>T</i>) Gravity by Alexandre Landry

“…In this paper, we investigate time-dependent Kantowski–Sachs spherically symmetric teleparallel <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 with a scalar field source. …”
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Precision Higgs Constraints in U(1) Extensions of the Standard Model with a Light <i>Z</i>′-Boson by Zoltán Péli, Zoltán Trócsányi

“…Anomaly-free <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo></mrow></semantics></math></inline-formula> extensions of the standard model (SM) predict a new neutral gauge boson <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>Z</mi><mo>′</mo></msup></semantics></math></inline-formula>. …”
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Studies on the High-Power Piezoelectric Property Measurement Methods and Decoupling the Power and Temperature Effects on PZT-5H by Wenchao Xue, Xiaobo Wang, Yuliang Zhu, Chengtao Luo

“…The results from both methods indicated that with increasing power, the electromechanical coupling coefficient <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>k</mi></mrow><mrow><mn>31</mn></mrow></msub></mrow></semantics></math></inline-formula> , the piezoelectric constant <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>d</mi></mrow><mrow><mn>31</mn></mrow></msub></mrow></semantics></math></inline-formula>, and the elastic compliance <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi>s</mi></mrow><mrow><mn>11</mn></mrow><mrow><mi mathvariant="normal">E</mi></mrow></msubsup></mrow></semantics></math></inline-formula> of the PZT-5H showed increasing trends, while the mechanical quality factor <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>Q</mi></mrow><mrow><mi mathvariant="normal">m</mi></mrow></msub></mrow></semantics></math></inline-formula> first decayed rapidly and then stabilized at a fixed level. …”
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Elliptic and Quadrangular Flow of Protons in the High-Baryon-Density Region by Shaowei Lan, Zuowen Liu, Like Liu, Shusu Shi

“…In this paper, we use the hadronic transport model SMASH to investigate the elliptic flow (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>v</mi><mn>2</mn></msub></semantics></math></inline-formula>), quadrangular flow (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>v</mi><mn>4</mn></msub></semantics></math></inline-formula>), and their ratio (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>v</mi><mn>4</mn></msub><mo>/</mo><msubsup><mi>v</mi><mrow><mn>2</mn></mrow><mn>2</mn></msubsup></mrow></semantics></math></inline-formula>) in Au+Au collisions at high baryon density. …”
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Bioenergetic Modeling of the Relationship Between Voltage and Electroactive Microbial Biomass Yield for Bioelectrochemical Carbon Dioxide Reduction to Methane by Vafa Ahmadi, Nabin Aryal

“…While most studies assume constant growth yields or rely on empirical estimates, this study presents a novel thermodynamic model, linking anodic oxidation and cathodic carbon dioxide (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>C</mi><mi>O</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></semantics></math></inline-formula>) reduction to methane (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>C</mi><mi>H</mi></mrow><mrow><mn>4</mn></mrow></msub></mrow></semantics></math></inline-formula>) by growing microbial biofilm. …”
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Self-Normalized Moderate Deviations for Degenerate <i>U</i>-Statistics by Lin Ge, Hailin Sang, Qi-Man Shao

“…Let <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>{</mo><msub><mi>X</mi><mi>i</mi></msub><mo>,</mo><mi>i</mi><mo>≥</mo><mn>1</mn><mo>}</mo></mrow></semantics></math></inline-formula> be i.i.d. random variables and consider symmetric and degenerate kernel functions in the form <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>h</mi><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></mrow><mo>=</mo><msubsup><mo>∑</mo><mrow><mi>l</mi><mo>=</mo><mn>1</mn></mrow><mo>∞</mo></msubsup><msub><mi>λ</mi><mi>l</mi></msub><msub><mi>g</mi><mi>l</mi></msub><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><msub><mi>g</mi><mi>l</mi></msub><mrow><mo>(</mo><mi>y</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>λ</mi><mi>l</mi></msub><mo>></mo><mn>0</mn></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>E</mi><msub><mi>g</mi><mi>l</mi></msub><mrow><mo>(</mo><msub><mi>X</mi><mn>1</mn></msub><mo>)</mo></mrow><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>g</mi><mi>l</mi></msub><mrow><mo>(</mo><msub><mi>X</mi><mn>1</mn></msub><mo>)</mo></mrow></mrow></semantics></math></inline-formula> is in the domain of attraction of a normal law for all <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>l</mi><mo>≥</mo><mn>1</mn></mrow></semantics></math></inline-formula>. …”
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An Erdős-Révész Type Law for the Length of the Longest Match of Two Coin-Tossing Sequences by Karl Grill

“…., a sequence of independent variables, taking values 0 and 1 with probability <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></semantics></math></inline-formula>. …”
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Wind–Wave Misalignment in Irish Waters and Its Impact on Floating Offshore Wind Turbines by Thomas Shanahan, Breiffni Fitzgerald

“…Using the ERA5 reanalysis dataset validated against Irish Marine Data Buoy Observation Network measurements, the results showed a satisfactory accuracy with an average wind speed error of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>−</mo><mn>0.54</mn></mrow></semantics></math></inline-formula> m/s and a strong correlation coefficient of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.92</mn></mrow></semantics></math></inline-formula>. …”
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Accurate Sum and Dot Product with New Instruction for High-Precision Computing on ARMv8 Processor by Kaisen Xie, Qingfeng Lu, Hao Jiang, Hongxia Wang

“…The number of floating-point operations has been reduced from <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>7</mn><mi>n</mi><mo>−</mo><mn>5</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>10</mn><mi>n</mi><mo>−</mo><mn>5</mn></mrow></semantics></math></inline-formula> to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>4</mn><mi>n</mi><mo>−</mo><mn>2</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>7</mn><mi>n</mi><mo>−</mo><mn>2</mn></mrow></semantics></math></inline-formula>, compared with the classic compensated precision algorithms. …”
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Reliability of a Low-Cost Inertial Measurement Unit (IMU) to Measure Punch and Kick Velocity by Lukas Pezenka, Klaus Wirth

“…The system demonstrated moderate reliability (intraclass correlation coefficient (ICC) <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>3</mn><mo>,</mo><mn>1</mn></mrow></semantics></math></inline-formula> = <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.746</mn></mrow></semantics></math></inline-formula> to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.786</mn></mrow></semantics></math></inline-formula>, standard error of measurement (SEM) = <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.488</mn></mrow></semantics></math></inline-formula> to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.921</mn></mrow></semantics></math></inline-formula> m/s), comparable to commercially available systems. …”
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Morphology and Formation of Chrysanthemum-like Pearlite in 100Mn13 Steel During Aging Treatment by Bo Liang, Jiaoyang Sun, Zhimin Ding, Rujin Tian, Feng Yan

“…The results show that some pearlite colonies are chrysanthemum-like and are composed of M₇C₃ lamellae and ferrite lamellae, maintaining an orientation relationship (OR) of (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mn>3</mn><mo stretchy="true">¯</mo></mover></mrow></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mn>3</mn></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>12</mn></mrow></semantics></math></inline-formula>)_M7C3‖(<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mo> </mo><mover accent="true"><mn>2</mn><mo stretchy="true">¯</mo></mover><mo> </mo><mn>4</mn></mrow></semantics></math></inline-formula>)_α, [<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>4</mn><mo> </mo><mn>0</mn><mo> </mo><mn>1</mn></mrow></semantics></math></inline-formula>]_M7C3‖[<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>5</mn><mo> </mo><mn>2</mn><mo> </mo><mn>1</mn></mrow></semantics></math></inline-formula>]_α. …”
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Some New Constructions of <i>q</i>-ary Codes for Correcting a Burst of at Most <i>t</i> Deletions by Wentu Song, Kui Cai, Tony Q. S. Quek

“…In this paper, we construct <i>q</i>-ary codes for correcting a burst of at most <i>t</i> deletions, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>t</mi><mo>,</mo><mi>q</mi><mo>≥</mo><mn>2</mn></mrow></semantics></math></inline-formula> are arbitrarily fixed positive integers. …”
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Similarity of Overlap Functions and Robustness of Fuzzy Reasoning by Songsong Dai, Qiuchen Ruan

“…In this paper, we introduce the concepts of the similarity and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-equality of overlap functions to measure the degree of similarity between two overlap functions. …”
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