A New Sixth-Order Finite Difference Compact Reconstruction Unequal-Sized WENO Scheme for Nonlinear Degenerate Parabolic Equations by Liang Li, Yan Zhang, Jun Zhu

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Processing streams in a monitoring cloud cluster by Alexey N. Nazarov

“…The obtained results made it possible to develop mathematical models of parallel DStreams from sources processed in a cloud cluster via Hadoop technology using the micro-batch architecture of the Spark Streaming module. …”
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Determining the Height of Water-Flowing Fractured Zone in Bedrock-Soil Layer in a Jurassic Coalfield in Northern Shaanxi, China by Jie Feng, Sujian Wang, Enke Hou, Xiang Ding, Huijun Duan

“…The microresistivity scanning imaging results were consistent with those obtained by other methods. (2) Based on the thickness of the soil layer and the bedrock, the height model of the water-flowing fracture zone was divided into four regions, that is, the thick bedrock-thick soil layer region, thick bedrock-thin soil layer region, thin bedrock-thin soil layer region, and thin bedrock-thick soil layer region. A mathematical model describing the difference between the thickness of the water-flowing fractured zone and the bedrock and the thickness of the soil under the condition of bedrock-soil was established. (3) We conclude that microresistivity scanning imaging technology can accurately detect the height of the water-flowing fractured zone in a soil layer, and the apparent density logging and long-range gamma logging can precisely detect the height of the water-flowing fractured zone in bedrock. …”
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The Law of Fracture Evolution of Overlying Strata and Gas Emission in Goaf under the Influence of Mining by Cheng Cheng, Xiaoyu Cheng, Rui Yu, Wenping Yue, Chao Liu

“…The mine is characterized by overlying strata fracture in goaf during the process of working face mining. A mathematical model of gas source emission from the working face and gas migration and the finite element COMSOL software were used to simulate the law of gas migration in the region with overlying strata fissures under the influence of mining. …”
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Evaluation of indirect indices in the insulin resistance assessment in patients with different body mass index by Lejla Čano Dedić, Arzija Pašalić, Emsel Papić, Emir Begagić, Sabina Šečić Selimović, Mario Gazibarić, Sabina Šegalo

“…Indirect indices based on mathematical models and derived from laboratory parameters have become increasingly popular in the past two decades. …”
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Primena daljinske detekcije u inventuri mešovitih šuma hrasta lužnjaka by Borota Dragan, Pantić Damjan, Ponjarac Radenko, Popović Aleksandar

“…In high, mixed, middle-aged and maturing Penduculate oak stands, the possibility of using aerial photogrammetry in the inventory was tested, both to obtain informa­tion related to site and stand information and to determine numerical elements (number of trees, basal area and volume per hectare) obtained on the basis of data read from the images (crown diameter, height and estimated breast height diameter of the tree based on the selected mathematical model). Most of the information from the site and stand infor­mation, especially the information about the above-ground parts of the forest (presence of dead cover, ground vegetation, shrubs, weeds, saplings and the degree of their damage, etc.) could not be identified from the image. …”
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Free vibration analysis of aluminum foam metal sandwich panels: a comparative study between numerical and analytical modelling by Zahra Hamdan, Sadeq Bakhy, Muhsin Jweeg

“…The panels consist of an aluminum foam core sandwiched between two aluminum sheets, offering a lightweight yet structurally robust solution, making them ideal for applications in the aerospace and automotive industries. A mathematical model based on classical plate theory (CPT) was developed to compute the natural frequencies of supported rectangular sandwich plates. …”
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Solving geocryology problems based on generalized Fourier theory for temperature waves in half-space by Anatoliy M. Afanasyev, Yulia S. Bakhracheva

“…Lykov’s theory, a spatially one-dimensional mathematical model of the processes of heat and moisture propagation in a homogeneous half-space, the boundary of which is in a state of heat and mass exchange with an airless medium, has been developed. …”
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Numerical Simulation of Gas–Liquid–Solid Three-Phase Erosion in a Gas Storage Tank Tee by Zongxiao Ren, Chenyu Zhang, Zhaoyang Fan, Yanfei Ren

“…In accordance with the principles of the multiphase flow theory, the particle discrete phase model, high temperature, high pressure, water volume fraction, and other pertinent factors, this paper presents a three-phase gas–liquid–solid erosion mathematical model of a three-way gas storage reservoir. …”
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Nanomechanical characterization of soft nanomaterial using atomic force microscopy by Chi-Dat Lam, Soyeun Park

“…We comprehensively reviewed experimental techniques and fundamental mathematical models to investigate the mechanical properties, including elastic moduli and binding forces, of soft materials.To determine these mechanical properties, two-dimensional arrays of force-distance (f-d) curves are obtained through AFM indentation experiments using the force volume technique. …”
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Deep learning to decode sites of RNA translation in normal and cancerous tissues by Jim Clauwaert, Zahra McVey, Ramneek Gupta, Ian Yannuzzi, Venkatesha Basrur, Alexey I. Nesvizhskii, Gerben Menschaert, John R. Prensner

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Impaired hemodynamic forces assessed by routine CMR and its determinants in different duration T2DM patients with normal LV function and myocardial strain by Guozhu Shao, Guozhu Shao, Guozhu Shao, Yukun Cao, Yukun Cao, Yukun Cao, Yue Cui, Yue Cui, Yue Cui, Hongyan Li, Heshui Shi, Heshui Shi, Heshui Shi

“…The objective of this study is to quantitatively assess hemodynamic forces (HDFs) using a rigorous mathematical model based on conventional cine cardiac magnetic resonance (CMR) images in patients with T2DM, and investigate their correlation with late gadolinium enhancement (LGE) and duration of diabetes.MethodsWe recruited 63 T2DM patients and 50 healthy volunteers to undergo contrast-enhanced CMR examinations. …”
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Human Serum Albumin and Human Serum Albumin Nanoparticles as Carriers of 10-(2′-Pyrimidyl)-3,6-diazaphenothiazine: In Vitro Spectroscopic Studies by Aleksandra Owczarzy, Karolina Kulig, Beata Morak-Młodawska, Małgorzata Jeleń, Tammam Muhammetoglu, Wojciech Rogóż, Małgorzata Maciążek-Jurczyk

“…Based on the obtained data and the appropriate mathematical models (Stern-Volmer and Klotz models), it can be concluded that 10-Pyr-3,6-DAPT probably forms a weak (K_a = (5.24 ± 0.57) <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>×</mo></mrow></semantics></math></inline-formula> 10⁴ and K_a = (4.67 ± 0.59) <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>×</mo></mrow></semantics></math></inline-formula> 10⁴) for excitation wavelengths λ_ex 275 nm and λ_ex 295 nm, respectively) static complex (k_q > 10¹⁰) with HSA (at Sudlow site II (subdomain IIIA), and the phenomenon of it having both strong therapeutic and toxic effects is possible. …”
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Criteria for the admissibility of digital (electronic) evidence in criminal proceedings by V. V. Romaniuk, S. Ye. Ablamskyi

“…This is due to the fact that digital (electronic) evidence contains abstract technical and mathematical models, characterized by specific conditions of origin, existence, copying and storage, which significantly differ from other types of evidentiary information. …”
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Model-based fed-batch cultivation of Viola odorata plant cells exhibiting antimalarial and anticancer activity by R. Babu, Manokaran Veeramani, Wallepure Aadinath, Vignesh Muthuvijayan, Shailja Singh, Smita Srivastava

“…Sufficient nutrient feeding strategies were developed using first principle-based mathematical modelling to overcome substrate inhibition and achieve higher cell density in the reactor. …”
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Vehicle-Mounted Photovoltaic System Energy Management in Intelligent Transportation Systems: A Maximum Power Point Tracking Control by Jingao Wang, Qifei Liu, Silan Jing

“…The maximum power point (MPP) is solved directly by the mathematical method based on the mathematical model of I-U relation mathematics, and the DC-DC circuit is used to adjust the running point to MPP. …”
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Spline approximation of multivalued functions in linear structures routing by D. A. Karpov, V. I. Struchenkov

“…At the first stage, a novel mathematical model is developed to apply the dynamic programming method taking into account the constraints on the desired spline parameters. …”
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Dealings between Cataract and Retinal Reattachment Surgery in PVR by Svenja Deuchler, Pankaj Singh, Michael Müller, Thomas Kohnen, Hanns Ackermann, Joerg Iwanczuk, Rachid Benjilali, Frank Koch

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A Hybrid Approach for Modular Neural Network Design Using Intercriteria Analysis and Intuitionistic Fuzzy Logic by Sotir Sotirov, Evdokia Sotirova, Vassia Atanassova, Krassimir Atanassov, Oscar Castillo, Patricia Melin, Todor Petkov, Stanimir Surchev

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Simulation and Test of Key Decorticating Components of Spiral Ramie Decorticator by Wenlong Zheng, Lan Ma, Jiajie Liu, Bo Yan, Yiping Duan, Sixun Chen, Jiangnan Lyu, Wei Xiang

“…The Box–Behnken experimental design method was used to construct a mathematical model describing the effects of the decorticating drum rotation speed and the decorticating gap on the fiber percentage of fresh stalk, and the optimal operating parameters were determined accordingly. …”
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