Research on Arch Model and Numerical Simulation of Critical Water and Sand Inrush in Coal Mine near Unconsolidated Layers by Guibin Zhang, Wenquan Zhang, Hailong Wang, Siwen Cao, Yuliang Wu, Zaiyong Wang

“…The paper also proposed and established three critical arching mechanics models (interlocking arch, bonded arch, and transition arch), deduced the mathematical expression of interlocking arch and transition arch, and obtained the critical instability conditions of the arch and its influencing factors. …”
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Logarithmic sensitivity ratio elucidates thermal transport physics in multivariate thermoreflectance experiments by Jing Tu, Md Azimul Haque, Derya Baran, Wee-Liat Ong

“…We mathematically derived a sensitivity-based method that identifies the thermal transport physics and parameters suitable for multivariate nonlinear fits in a frequency-domain thermoreflectance (FDTR) experiment. …”
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Research of Porous Asphalt Concrete Application on Highway Sections with The Increased Aquaplaning Danger Level by Oleksandr Rieznik, Shilin Yang, Andrii Bieliatynskyi, Meiyu Shao, Mingyang Ta

“…The construction of the road surface was also improved with the separation of the pavement layers, where porous asphalt mixture was used as the top layer, and the basalt canvas (impregnated) between the used construction levels was used. The mathematical calculation of the road was improved taking into account the physical phenomena occurring between the car and the road surface in the presence of water. …”
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Spinor Quintom Cosmology with Intrinsic Spin by Emre Dil

“…After constructing the mathematical formalism of the model, we obtain the spin contributed total energy-momentum tensor giving the energy density and the pressure of the quintom model, and then we find the equation of state parameter, Hubble parameter, deceleration parameter, state finder parameter, and some distance parameter in terms of the spinor potential. …”
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The Experience of Using «Virtual Petrolab» – Virtual Petrophysical laboratory for Mobile Devices in the Educational Process by E. V. Shelyago, N. D. Shelyago

“…The program “Virtual PetroLab” simulates functions of various petrophysical equipment in the lab, possesses built-in methodological instructions on performing laboratory works. The mathematical model of the application allows the student to conduct measuring tasks, make, accumulate and correct his own errors. …”
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Copernicus and Copernicans: Galileo, Kepler, Bruno by Ünsal Çimen

“…He adopted Hermetic philosophy and opposed Copernicus’s mathematical (geometric) method; he also claimed, unlike Copernicus, that the universe was infinite and that there were intelligent life forms on other planets. …”
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Analysis of Static Characteristic of Hydrodynamic Bearing with Different Surface Roughnesses by Hong Guo, Lanlan Song, Shaolin Zhang, Weipei He

“…In order to study the influence of roughness on the static characteristics of bearing， an experimental platform is built based on M2000 friction and wear testing machine to test the sliding friction pairs of 42CrMo steel， and a Reynolds mathematical model considering the surface roughness is established and solved. …”
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Influence of Tooth Surface Microstructure on the Stability of Gear Motion by Wang Wei, Adayi Xieeryazidan, Shen Shiyu

“…With the help of W-M function,M-B fractal contact model and Hertz contact formula,the stiffness and damped mathematical model considering the uneven surface of gear surface is established. …”
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Three-Dimensional Modeling and Structured Vibration Modes of Two-Stage Helical Planetary Gears Used in Cranes by Lina Zhang, Yong Wang, Kai Wu, Ruoyu Sheng

“…Furthermore, the unique properties of these vibration modes are mathematically proved. Results show that the vibration modes of the two-stage helical planetary gears can be categorized as five classes: the rigid body mode, the axial translational-rotational mode, the radical translational mode, and the 1st-stage and the 2nd-stage planet mode.…”
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A joint analysis of single cell transcriptomics and proteomics using transformer by Yuanyuan Chen, Xiaodan Fan, Chaowen Shi, Zhiyan Shi, Chaojie Wang

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Density Classification with Non-Unitary Quantum Cellular Automata by Elisabeth Wagner, Federico Dell’Anna, Ramil Nigmatullin, Gavin K. Brennen

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Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts by Baoqin Chen, Zongxuan Chen, Sheng Li

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Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups by Heping Liu, Manli Song

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Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov Equations Using a Generalized Fractional Subequation Method by Yanqin Liu, Limei Yan

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Completeness of certain compact Lorentzian locally symmetric spaces by Leistner, Thomas, Munn, Thomas

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Necessary and Sufficient Conditions of Optimality for a Damped Hyperbolic Equation in One-Space Dimension by Ismail Kucuk, Kenan Yildirim

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Approximate Generalized Cubic *-Derivations by Heejeong Koh, Dongseung Kang

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Tri-vector deformations with external fluxes by Sergei Barakin, Kirill Gubarev, Edvard T. Musaev

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Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method by Tian Wang, Zhaocai Hao

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Stability and Hopf Bifurcation in a Diffusive Predator-Prey System with Beddington-DeAngelis Functional Response and Time Delay by Yuzhen Bai, Xiaopeng Zhang

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