Long-Term Evaluation of GCOM-C/SGLI Reflectance and Water Quality Products: Variability Among JAXA G-Portal and JASMES by Salem Ibrahim Salem, Mitsuhiro Toratani, Hiroto Higa, SeungHyun Son, Eko Siswanto, Joji Ishizaka

“…This study aims to evaluate the SGLI full-resolution <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>R</mi></mrow><mrow><mi>r</mi><mi>s</mi></mrow></msub></mrow></semantics></math></inline-formula> products from G-Portal and JASMES at regional scales (Japan and East Asia) and assess G-Portal <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>R</mi></mrow><mrow><mi>r</mi><mi>s</mi></mrow></msub></mrow></semantics></math></inline-formula> products globally between January 2018 and December 2023. …”
Get full text

On the Work of Cartan and Münzner on Isoparametric Hypersurfaces by Thomas E. Cecil, Patrick J. Ryan

“…A hypersurface <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>M</mi><mi>n</mi></msup></semantics></math></inline-formula> in a real space form <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow><mi mathvariant="bold">R</mi></mrow><mrow><mi>n</mi><mo>+</mo><mn>1</mn></mrow></msup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>S</mi><mrow><mi>n</mi><mo>+</mo><mn>1</mn></mrow></msup></semantics></math></inline-formula>, or <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>H</mi><mrow><mi>n</mi><mo>+</mo><mn>1</mn></mrow></msup></semantics></math></inline-formula> is isoparametric if it has constant principal curvatures. …”
Get full text

On Defining Expressions for Entropy and Cross-Entropy: The Entropic Transreals and Their Fracterm Calculus by Jan A. Bergstra, John V. Tucker

“…Classic formulae for entropy and cross-entropy contain operations <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mstyle scriptlevel="0" displaystyle="true"><mfrac><mi>x</mi><mn>0</mn></mfrac></mstyle></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mo form="prefix">log</mo><mn>2</mn></msub><mi>x</mi></mrow></semantics></math></inline-formula> that are not defined on all inputs. …”
Get full text

Regularizing Effects for a Singular Elliptic Problem by Ida de Bonis, Maria Michaela Porzio

“…In this paper, we prove existence and regularity results for a nonlinear elliptic problem of p-Laplacian type with a singular potential like <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mstyle scriptlevel="0" displaystyle="true"><mfrac><mi>f</mi><msup><mi>u</mi><mi>γ</mi></msup></mfrac></mstyle></semantics></math></inline-formula> and a lower order term <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>b</mi><mi>u</mi></mrow></semantics></math></inline-formula>, where <i>u</i> is the solution and <i>b</i> and <i>f</i> are only assumed to be summable functions. …”
Get full text

Approximation Characteristics of Weighted Sobolev Spaces on Sphere in Different Settings by Jiayi Qiu, Guanggui Chen, Yanyan Xu, Ying Luo, Hang Ren

“…This article primarily examines the approximation properties of a weighted Sobolev space <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>W</mi><mrow><mn>2</mn><mo>,</mo><mi>κ</mi></mrow><mi>r</mi></msubsup></semantics></math></inline-formula> defined on a sphere <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">S</mi><mrow><mi>d</mi><mo>−</mo><mn>1</mn></mrow></msup></semantics></math></inline-formula> equipped with Gaussian measures. …”
Get full text

The Multimessenger Contribution of Ultra-High-Energy Cosmic Rays from Gamma-Ray Bursts by Zhenjiang Li, Fangsheng Min, Yi Jin, Yiqing Guo

“…In this study, we consider GRBs as sources of UHECR injection with an injection index of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>α</mi><mo>=</mo><mn>2</mn></mrow></semantics></math></inline-formula> and propagate them through the extragalactic magnetic field within the framework of CRPropa 3. …”
Get full text

New Solitary Wave Solutions of the Lakshamanan–Porsezian–Daniel Model with the Application of the Φ⁶ Method in Fractional Sense by Hicham Saber, Hussien Albala, Khaled Aldwoah, Amer Alsulami, Khidir Shaib Mohamed, Mohammed Hassan, Abdelkader Moumen

“…This paper explores a significant fractional model, which is the fractional Lakshamanan–Porsezian–Daniel (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">FLPD</mi></semantics></math></inline-formula>) model, widely used in various fields like nonlinear optics and plasma physics. …”
Get full text

Lie Bialgebra Structures and Quantization of Generalized Loop Planar Galilean Conformal Algebra by Yu Yang, Xingtao Wang

“…In this paper, we analyze the Lie bialgebra (LB) and quantize the generalized loop planar-Galilean conformal algebra (GLPGCA) <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>W</mi><mo>(</mo><mo>Γ</mo><mo>)</mo></mrow></semantics></math></inline-formula>. …”
Get full text

Fractal Continuum Maxwell Creep Model by Andriy Kryvko, Claudia del C. Gutiérrez-Torres, José Alfredo Jiménez-Bernal, Orlando Susarrey-Huerta, Eduardo Reyes de Luna, Didier Samayoa

“…Then, creep strain <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ε</mi><mo>(</mo><mi>t</mi><mo>)</mo></mrow></semantics></math></inline-formula>, creep modulus <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>J</mi><mo>(</mo><mi>t</mi><mo>)</mo></mrow></semantics></math></inline-formula>, and relaxation compliance <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>G</mi><mo>(</mo><mi>t</mi><mo>)</mo></mrow></semantics></math></inline-formula> in materials with fractal linear viscoelasticity can be described by their generalized forms, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>ε</mi><mi>β</mi></msup><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>,</mo><mspace width="0.166667em"></mspace><msup><mi>J</mi><mi>β</mi></msup><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mrow><mi> </mi><mi>and</mi><mi> </mi></mrow><msup><mi>G</mi><mi>β</mi></msup><mrow><mo>(</mo><mi>t</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><mi>β</mi><mo>=</mo><mi>d</mi><mi>i</mi><mi>m</mi><mi>S</mi><mo>/</mo><mi>d</mi><mi>i</mi><mi>m</mi><mi>H</mi></mrow></semantics></math></inline-formula> represents the time fractal dimension, and it implies the variable-order of fractality of the self-similar domain under study, which are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>d</mi><mi>i</mi><mi>m</mi><mi>S</mi></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>d</mi><mi>i</mi><mi>m</mi><mi>H</mi></mrow></semantics></math></inline-formula> for their spectral and Hausdorff dimensions, respectively. …”
Get full text

A Navier–Stokes-Informed Neural Network for Simulating the Flow Behavior of Flowable Cement Paste in 3D Concrete Printing by Tianjie Zhang, Donglei Wang, Yang Lu

“…The results show that the presented NSINN has a higher accuracy compared to a traditional artificial neural network (ANN) as the Mean Square Errors (MSEs) of the u, v, and p predicted by NSINN are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.25</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>4</mn></mrow></msup></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.85</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>5</mn></mrow></msup></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>3.91</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>3</mn></mrow></msup></mrow></semantics></math></inline-formula>, respectively. …”
Get full text

Experimental Study of Steady Blowing from the Trailing Edge of an Open Cavity Flow by Naser Al Haddabi, Konstantinos Kontis, Hossein Zare-Behtash

“…Cavity flows have a wide range of low-speed applications (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>M</mi><mo>≤</mo><mn>0.3</mn></mrow></semantics></math></inline-formula>), such as aircraft wheel wells, ground transportations, and pipelines. …”
Get full text

Impact of Charge on Strange Compact Stars in Rastall Theory by Malick Sallah, Muhammad Sharif

“…To do so, we present modified field equations based upon the Finch–Skea metric potentials expressed in terms of three parameters <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>A</mi><mo>,</mo><mi>B</mi><mo>,</mo><mi>C</mi><mo>)</mo></mrow></semantics></math></inline-formula>. …”
Get full text

Exploring Seasonality Indices for Low-Flow Analysis on Tibagi Watershed (Brazil) by Alexandre Sokoloski de Azevedo Delduque de Macedo, Michael Männich

“…This study investigated the seasonality of low-flow discharges in the Tibagi watershed, Paraná, Brazil, through the analysis of three indices: Seasonality Ratio (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mi>R</mi></mrow></semantics></math></inline-formula>), Seasonality Index (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mi>I</mi></mrow></semantics></math></inline-formula>), and Seasonality Histogram (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mi>H</mi></mrow></semantics></math></inline-formula>). …”
Get full text

Dual Connectivity in Graphs by Mohammed A. Mutar, Daniele Ettore Otera, Hasan A. Khawwan

“…An edge-coloring <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula> of a connected graph <i>G</i> is called rainbow if there exists a rainbow path connecting any pair of vertices. …”
Get full text

Magnetocaloric Effect for a <i>Q</i>-Clock-Type System by Michel Aguilera, Sergio Pino-Alarcón, Francisco J. Peña, Eugenio E. Vogel, Natalia Cortés, Patricio Vargas

“…We calculate the thermodynamic quantities using Monte Carlo simulations for even <i>Q</i> numbers, ranging from <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mo>=</mo><mn>2</mn></mrow></semantics></math></inline-formula> to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mo>=</mo><mn>8</mn></mrow></semantics></math></inline-formula> spin orientations per site in a lattice. …”
Get full text

A Muscle Physiology-Based Framework for Quantifying Training Load in Resistance Exercises by Frank Imbach, Stéphane Perrey, Thomas Brioche, Robin Candau

“…Results: Significant differences were found between sessions in terms of mechanical work (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mo><</mo><mn>0.05</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mo><</mo><mn>0.001</mn></mrow></semantics></math></inline-formula>, for LI-MI and MI-HI, respectively), averaged normalised torque (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mo><</mo><mn>0.001</mn></mrow></semantics></math></inline-formula>), mechanical impulse (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mo><</mo><mn>0.001</mn></mrow></semantics></math></inline-formula>), and rate of force development (RFD, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mo><</mo><mn>0.001</mn></mrow></semantics></math></inline-formula> for LI-MI). …”
Get full text

Sphere Theorems for <i>σ_k</i>-Einstein Manifolds by Jingyang Zhong, Xinran Mu

“…In this note, we provide the definitions of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>σ</mi><mi>k</mi></msub></semantics></math></inline-formula>-curvatures and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>σ</mi><mi>k</mi></msub></semantics></math></inline-formula>-Einstein manifolds, and we show that a closed <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>σ</mi><mi>k</mi></msub></semantics></math></inline-formula>-Einstein manifold under certain pinching conditions of a Weyl curvature and Einstein curvature is isometric to a quotient of a round sphere.…”
Get full text

Some Existence, Uniqueness, and Stability Results for a Class of <i>ϑ</i>-Fractional Stochastic Integral Equations by Fahad Alsharari, Raouf Fakhfakh, Omar Kahouli, Abdellatif Ben Makhlouf

“…This paper focuses on the existence and uniqueness of solutions for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϑ</mi></semantics></math></inline-formula>-fractional stochastic integral equations (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϑ</mi></semantics></math></inline-formula>-FSIEs) using the Banach fixed point theorem (BFPT). …”
Get full text

A Study on the Evolution of Emission Altitude with Frequency Among 104 Normal Pulsars by Chaoxin Luo, Xin Xu, Changrong Du, Qijun Zhi

“…In this work, it is found that the frequency evolution of pulsar emission altitude can be divided into three groups according to their different frequency dependencies of emission altitude (emission altitude decreases with frequency (Group A, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>η</mi><mo>≤</mo><mo>−</mo><mn>0.1</mn></mrow></semantics></math></inline-formula>), keeps relatively constant with frequency (Group B, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>−</mo><mn>0.1</mn><mo><</mo><mi>η</mi><mo>≤</mo><mn>0.1</mn></mrow></semantics></math></inline-formula>), and increases with frequency (Group C, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>η</mi><mo>≥</mo><mn>0.1</mn></mrow></semantics></math></inline-formula>)), where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula> is the emission altitude variation rate. …”
Get full text

On the Twistability of Partially Coherent, Schell-Model Sources by Riccardo Borghi

“…By employing an abstract operatorial language, the problem of determining the highly degenerate spectrum of a twisted operator <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mover accent="true"><mi>W</mi><mo stretchy="false">^</mo></mover><mi>u</mi></msub></semantics></math></inline-formula> is addressed through a modal analysis based on the complete knowledge of the spectrum of the <i>sole</i> twist operator <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mover accent="true"><mi>T</mi><mo stretchy="false">^</mo></mover><mi>u</mi></msub></semantics></math></inline-formula>, as found by R. …”
Get full text