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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Shock reaction model for impact energy release behavior of Al/PTFE reactive material by Bao-yue Guo, Ke-rong Ren, Xia-yin Ma, Gan Li, Cai-min Huang, Zhi-bin Li, Rong Chen

“…The shock reaction model can describe the chemical reaction behavior of materials during shock compression. The mathematical expressions, programming implementation principles, and methods for obtaining model parameters of the shock reaction model are elaborated. …”
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Interpersonal dependence and differential types of reflection in students – boys and girls by O. V. Myloslavska

“…The first group included of 45 boys, the second – 51 girls. For the mathematical processing of data the Spearman rank correlation coefficient was used. …”
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The Influence of Occupational Therapy on College Students’ Home Physical Exercise Behavior and Mental Health Status under the Artificial Intelligence Technology by Chao SONG, G. E. Sha, Wanxiang Yao, Linhai YANG

“…Second, descriptive statistics, correlation analysis, independent sample t-test, and variance analysis were carried out on the survey results using mathematical statistics methods and big data technology. …”
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Evolution of CFD as an engineering science. A personal perspective with emphasis on the finite volume method by Runchal, Akshai Kumar

“…For many important applications, we lack both the physics and the mathematical tools to adequately understand the behavior of fluids. …”
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A measure of the difference between test sets for generating controlled random tests by V. N. Yarmolik, V. V. Petrovskaya, I. Mrozek

“…For the case p = 2, mathematical relations are given for calculating the intervals and distances AD(Ti, Tk) for address sequences 2A used for controlled random testing of storage devices. …”
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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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RELATIONSHIP OF SELF-REGULATION AND PERSONAL PROFESSIONAL PERSPECTIVE OF STUDENTS by D. P. Zavodchikov, P. O. Manyakova

“…Pryazhnikov were applied. Mathematical-statistical processing of the results was carried out by means of the Kolmogorov-Smirnov test. …”
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Research on Damage Assessment of Concrete-Filled Steel Tubular Column Subjected to Near-Field Blast Loading by Ying Cui, Meimei Song, Zhan Qu, Shanshan Sun, Junhai Zhao

“…Finally, based on the two pressure-impulse damage evaluation curves, the two pressure-impulse damage criteria for these two different fixed-end CFST columns were defined based on the deflection of the surfaces facing the explosives. Furthermore, the mathematical formulae for the two different column types were established to generate pressure-impulse diagrams. …”
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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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Research on the robustness of convolutional neural networks in image recognition by Dian LIN, Li PAN, Ping YI

“…Convolutional neural network is one of the key technologies in the application of image recognition and processing in artificial intelligence.Its wide application makes researches on its robustness more and more important.Previous researches on robustness of neural networks were too sweeping and most of them focused on adversarial robustness, which causes difficulty in further study in the mechanism of neural network robustness.The related researches of neuroscience were introduced and the concept of visual robustness was put forward.By studying the similarity and difference between neural network models and human visual system, the internal mechanism and faults of neural network robustness were revealed.The researches of neural network robustness in recent years were reviewed, and the reasons for the lack of robustness of neural network models were analyzed.The lack of robustness of neural networks is reflected in their sensitivity to small perturbations.The reason is that neural networks tend to learn high-frequency information for calculation and inference, which is difficult for humans to recognize.High-frequency information is easily affected by perturbations, and eventually causes mistakes of models.Previous researches on robustness mostly focused on mathematical properties of models, and were limited in the natural faults of neural networks.Visual robustness extends the traditional concept of robustness.The traditional concept of robustness measures the discrimination ability of models for distorted image examples.Distorted examples and clean examples can get correct outputs through robust models.Visual robustness measures the consistency between models and humans in discrimination ability.Visual robustness combines the research methods and achievements of neuroscience and psychology with artificial intelligence.The development of neuroscience in the field of vision were reviewed, and the application of research methods of cognitive psychology in neural network robustness were discussed.Human visual system has advantages in learning and abstract ability, whill neural network models have better performance in calculation speed and memory.The difference between the physiological structure of human brain and the logical structure of neural network models is the key factor leading to the problem of robustness of neural networks.The research of visual robustness requires deeper understanding of human visual system.Revealing the differences in cognitive mechanism between human visual system and neural network models and effectively improving the algorithm are the development trends of neural network robustness and even artificial intelligence.…”
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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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Measuring effective indicators for waste disposal in order to assess the sustainable environment: application of fuzzy approach by Mohammad Hossein Kabgani

“…Also, the technical contribution of this article is presented by combining fuzzy logic and Nonlinear mathematical programming.…”
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Pharmacological activity of OST-01, a natural product from baccharis coridifolia, on breast cancer cells by HyunJun Kang, Dinh Hoa Hoang, Melissa Valerio, Khyatiben Pathak, William Graff, Alexis LeVee, Jun Wu, Mark A. LaBarge, David Frankhouser, Russell C. Rockne, Patrick Pirrotte, Bin Zhang, Joanne Mortimer, Le Xuan Truong Nguyen, Guido Marcucci

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Synthesis and Characterization of Modified Kaolin-Bentonite Composites for Enhanced Fluoride Removal from Drinking Water by Ebenezer Annan, Emmanuel Nyankson, Benjamin Agyei-Tuffour, Stephen Kofi Armah, George Nkrumah-Buandoh, Joanna Aba Modupeh Hodasi, Michael Oteng-Peprah

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The Turing heritage for plant biology: all spots and stripes? by Eric Siero, Eva E. Deinum

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Unbounded Solutions of the Difference Equation xn=xn−lxn−k−1 by Stevo Stević, Bratislav Iričanin

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Using a Gyro as a Tool for Continuously Variable Lateral Stabilisation of Dynamic Bipeds by N. M. Mayer, K. Masui, M. Browne, M. Asada, M. Ogino

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