Pose Determination for Malfunctioned Satellites Based on Depth Information by Feng Yu, Yi Zhao, Yanhua Zhang

“…The algorithm is validated by a series of mathematical simulations.…”
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Prediction model of gear tooth flank fracture considering interfacial friction by ZHI YanFeng, WANG XiaoPeng, CAO ZhiGang, GUAN HongJie, YU FeiPeng, FAN RuiLi, LI HaiXia, WAN ShaoXiong

“…Based on the contact theory and elastic mechanics, a mathematical model for calculating the internal field stress of gear teeth with interfacial friction and the stress intensity with hardness gradient was established, and the risk prediction of gear tooth flank fracture was carried out. …”
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A Hybrid Machine Learning Framework for Soccer Match Outcome Prediction: Incorporating Bivariate Poisson Distribution by Chen Zhong An

“…This study explores the application of mathematical and machine learning models to predict results of soccer matches, with the dual aim of academic advancement and profitable betting. …”
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Dichroism-sensitive photoacoustic imaging for in-depth estimation of the optic axis in fibrous tissue by Camilo Cano, Amir Gholampour, Marc van Sambeek, Richard Lopata, Min Wu

“…Herein, we present a mathematical model for the in-depth analysis of the DS-PA signal of biological samples, focusing on estimating tissue orientation. …”
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Application of Artificial Neural Networks and Adaptive Neuro-Fuzzy Inference Systems to Predict Activated Carbon Properties for Methane Storage by Ali Ahmadpour, Neda Jahanshahi, Sajjad Rashidi, Naser Chenarani, Mohammad Jaber Darabi Mahboub

“…However, because of complex relations between independent and dependent variables, the proposed statistical and mathematical models are not satisfactory. In this paper, the specifications of some ACs synthesized by chemical activation methods are predicted. …”
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Outlier Detection Method of Dam Monitoring Data Based on Robust Estimation and Variable Separation by LIANG Huibin, ZHANG Han, ZHANG Linsong, CAO Yuxin, ZHOU Jingren

“…The original monitoring data of dams is the most important data to grasp the operation behavior of the dams,and the outliers in the data are the focus during the analysis.Outliers are divided into two categories.One category is caused by measurement errors and should be eliminated or supplemented to avoid affecting subsequent analysis.The other is caused by structural mutations and should be highly valued.At present,main outlier recognition methods in dam engineering are based on traditional mathematical statistics and do not consider the influence of structural anomalies,which results in low recognition accuracy.Therefore,based on an in-depth study of dam monitoring data and outlier characteristics,this paper first employs robust MM estimation to eliminate the normal influence of internal and external factors and then adopts the residual measured value to eliminate the stable abnormal influence by difference before and after.Finally,according to the minimum value method,outlier identification is conducted on the residual values.The application of the measured dam data proves that the proposed method can identify the measurement outliers more effectively and robustly,and avoid the interference of structural stability anomalies.…”
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Correlators of long strings on AdS3×S3×T4 by Zhe-fei Yu, Cheng Peng

“…Furthermore, after carefully mapping the vertex operators to appropriate operators in the dual CFT, we find that once the fermionic contributions together with the picture changing effects are correctly taken into account, some mathematical identities of covering maps lead to the matching of the correlators of the two sides. …”
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A METHODOLOGY FOR THE EVALUATION OF FUNCTIONAL URBAN AREAS IN ROMANIA by ANTONIO TACHE, MONICA TACHE

“…This methodology is redefining functional urban areas and is based on the study of polycentric ESPON 1.1.1 and on a statistical-mathematical model for assessing the Functional Urban Areas (FUA-s), using a spatial database in ARCGIS 10.2.2. …”
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Optimum renewable oil for biodiesel production as integer programming problem by Lutfu Sagbansua, Figen Balo

“…The aim of the existent research is to choose the optimal plant oil as bio-based diesel through utilizing mathematical modeling technique. Amon plant-based oil kinds, the question of choosing the optimal plant oil is assessed, utilizing many criteria concerned with their features. …”
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Integrated methodology for assessing the readiness of a territory for the creation of a transport cluster by K. B. Malysheva

“…To achieve this goal, the following tasks were completed: indicators were developed that characterize the conditions for the creation of a TLC; mathematical tools of the methodology were developed; three groups of regions were identified according to the value of assessing readiness for the creation of a TLC; the methodology was tested in the regions of the Russian Federation and subjects ready to create a transport cluster were identified. …”
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Arsenic Retention on Technosols Prepared with Nanoparticles and Ferric Soil from Mine Drainage Water by Darío R. Bolaños-Guerrón, Viviana P. Sánchez-Gómez, Johanna Paz, Andrés R. Izquierdo, Carina Stael, María Balseiro-Romero

“…The technosol was experimentally characterized using adsorption isotherms and uptake kinetics. Besides, a mathematical model was developed using Vensim® to scale the process and predict the dynamic behavior of the adsorbent. …”
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Lightweight Design of Transmission Gear of an Aircraft Gun Ammunition Box based on SIMP Material Interpolation Model by Guanming Huang, Mingmin Liu, Hongliang Yang, Haiyang Zhang, Yongfeng Fan, Feng Xie, Shengli Ge

“…In order to enhance the performance of fighter， and realize the aim of lightweight design of aircraft gun， taking the transmission gear of a certain aircraft gun ammunition box as the research object， through topological optimization method of material interpolation model based on SIMP（solid isotropic material with realization）， a topological optimization mathematical model for the density of gear structural unit as design variable， minimum flexibility as objective function， the percentage of volume fraction before and after optimization and the structural balance equation as constraint functions is established， the topology optimization of ammunition box transmission gear is studied. …”
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Research on variable bus voltage control algorithm of axial flux stator coreless permanent magnet motor by Xiaoguang WANG, Yifan ZHOU, Mengkai CHEN, Yahong CHEN

“…Aiming at the problem of large stator current fluctuation and poor peak controllability caused by small winding inductance of coreless axial flux permanent magnet motor, a variable bus voltage control strategy was proposed by deducing the mathematical relationship between the DC bus voltage and the peak value of stator current fluctuation, which reduces the difference between the DC bus voltage on the inverter bridge side and the back EMF under actual working conditions. …”
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Study on the Home Health Caregiver Scheduling Problem under a Resource Sharing Mode considering Differences in Working Time and Customer Satisfaction by Heping Wang, Yuke He, Yan Li, Fuyu Wang

“…Consequently, in this paper, a corresponding mathematical model is established and a hybrid algorithm that combines the whale optimization algorithm (WOA) with the particle swarm optimization (PSO) algorithm is proposed to solve the model. …”
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Design and Development of the Transmission Shaft Electromagnetic Brake and Half Shaft Wet Brake Integrated System in Heavy Vehicle by Ma Hongge

“…In order to solve the traditional heavy vehicle braking system braking performance are not stable,installation space limitations,a brake integrated system scheme through arranging electromagnetic brake on the drive axle dynamic input shaft and layout wet brake Inside the integral drive axle is proposed,the mathematical model of integrated brake system is established through the analysis of the layout scheme of device structure and working principle,and through the experimental methods to verify the feasibility of integrated brake system.The results show that the half shaft wet brake torque presents increased trend,at the end of the braking,the brake torque of the brake integrated system is provided solely by the half shaft wet brake,the electromagnetic brake torque first increased and then decreased,the torque at the end of the braking become to zero; the brake integrated system braking torque decreases with the half shaft speed decreases,a certain fluctuation exists during the period; in the braking process of brake integrated system,the wet brake load can be significantly reduced and the oil temperature can be controlled in a suitable range.…”
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Meshing Principle of Offset Asymmetric Face Gear and Precise Design of Complex Conjugate Tooth Surface by Shuai Mo, Wenjie Tang, Shengping Zhu, Zongxiang Yue, Hanjun Gao

“…According to the theory of gear space meshing， the space coordinate system of gear meshing is established， the mathematical models of asymmetric involute cylindrical gear and offset face gear are derived， and the meshing equation of asymmetric offset face gear is established. …”
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Modeling the contour arc based on Dezargues configuration by E. V. Konopatskiy, I. G. Balyuba

“…A new geometric algorithm for modeling the contour arc in the form of a curve of one relationship based on the Dezargues configuration, parameterization of which is performed using the mathematical apparatus "Point Calculus", is proposed. …”
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MIMO With 1-b Pre/Postcoding Resolution: A Quantum Annealing Approach by Ioannis Krikidis

“…The algorithm is associated with a rigorous mathematical framework that casts the pre/postcoding vector design to appropriate real-valued quadratic unconstrained binary optimization (QUBO) problems. …”
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Traction Control of Four Wheel Drive Heavy Duty Construction Machinery based on Flexible Work Surface by Chen Feng

“…To further study the property of heavy-duty construction machinery operation,the flexible work surface and the front and rear axle torque distribution are introduced,the construction machinery mathematical model of four-wheel drive heavy duty is established,a heavy-duty construction machinery traction integrated control strategy based on flexible work surface and the front and rear axle torque distribution control is got.The results show that by reducing the accelerator position can significantly eliminate the driving wheel excessive slip phenomenon in the motion process of the heavy duty machinery on the flexible work surface,the wheel speed is maintained near the target speed.After the introduction of traction control system,the wheel speed variation can be well suppressed within the range of fluctuation in the target drive wheel speed and the excessive slip phenomenon within the speed control range.After the introduction of the traction control system to eliminate obvious differences between the front and rear axle drive wheel speed,the front and rear axle drive force distribution is more reasonable.…”
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Designing “pre-reflective” architecture by Andrea Jelić

“…Also, it raises awareness of the embodied nature of the design process itself, and the need to be attentive to the discordance between the architectural tools for design and representation, designed on the basis of a physical-mathematical conception of space, and the spatiality of the phenomenal world in which we live.…”
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