Vibrator Rack Pose Estimation for Monitoring the Vibration Quality of Concrete Using Improved YOLOv8-Pose and Vanishing Points by Bingyu Ren, Xiaofeng Zheng, Tao Guan, Jiajun Wang

“…This method integrates the Linear Spatial Kernel Aggregation (LSKA) module into the You Only Look Once (YOLO) framework to accurately detect the keypoints of the rack and then employs the vanishing point theorem to estimate the rotation angle of the rack without any 3D datasets. …”
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An Improved Triangulation Oversampling Method for Processing Unbalanced Data by Jingjing Liu, Yefeng Liu, Yanwei Ma, Qichun Zhang

“…The IFE-SMOTE algorithm classified eight datasets and compared them with other oversampling algorithms using G-mean, F-measure, and AUC. IFE-SMOTE’s average scores were 0.9273, 0.9754, and 0.9309, respectively, outperforming FE-SMOTE by 0.0268, 0.0059, and 0.0253, and other algorithms’ averages by 0.0493, 0.0169, and 0.0402.…”
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COMPENSATION FOR NON-MATERIAL DAMAGE AND ITS FINANCIAL IMPLICATIONS FOR THE INSURANCE INDUSTRY by Ондржей Павелек, Їтка Матейкова

“…Employing an economic analysis of law, the study engages with foundational theoretical constructs, including the Coase theorem and principles of corrective justice, to advocate for the systematic integration of macroeconomic indicators into compensation assessment models. …”
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Task Offloading and Computation in Hybrid uRLLC and eMBB Cognitive Radio Enabled 5G Based Multiuser Edge Computing by Akinbode A. Olawole, Fambirai Takawira, Chabalala S. Chabalala

“…The target is to minimize energy consumption and, maximize the achievable data rate subject to probabilistic and statistical constraint on the eMBB task length based on Extreme Value Theorem (EVT), uRLLC reliability and, system capacity. …”
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Body composition versus body fat percentage as predictors of posture/balance control mobility and stability among football players under 21 years by Mohammed Zerf

“…While musculoskeletal symptoms (LBP) [1] is one of warning against the consequences recorded in abnormal posture, bending, twisting, gardening and exercise levels among the sportsmen. Based on this theorem, the current study aims to determine the strong factor which affects mobility and stability among soccer players under 21 years. …”
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Dynamic Biometric Indicators of the Anterior Segment Structure of the Eye in Primary Angle-Closure Glaucoma by G. V. Voronin, A. A. El-Sangahawi, K. S. Avetisov, V. D. Yartsev, M. N. Narbut

“…Regardless of the conditions of the examination, these indicators, on average, were significantly higher in the PACG and practically did not change with a decrease in the level of illumination. …”
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Development of influenza-associated disease burden pyramid in Shanghai, China, 2010–2017: a Bayesian modelling study by Jing Li, Chunfang Wang, Luanqi Ruan, Shan Jin, Chuchu Ye, Huiting Yu, Weiping Zhu, Xiling Wang

“…Based on the prior knowledge that influenza viruses are hazardous pathogens and have adverse health outcomes of respiratory and circulatory disease (R&C), we developed an improved model incorporating Bayes’ theorem to estimate the disease burden of influenza in Shanghai, China, from 2010 to 2017.Design A modelling study using aggregated data from administrative systems on weekly R&C mortality and hospitalisation, influenza surveillance and meteorological data. …”
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PROFESSIONAL BURNOUT OF MEDICAL WORKERS AND DISTRESS: SITUATIONAL AND PSYCHOLOGICAL FACTORS by Сергей Анатольевич Бабанов, Маргарита Валериановна Лысова, Наталия Юрьевна Кувшинова, Наталья Александровна Острякова, Андрей Сергеевич Бабанов

“…Descriptive statistics for continuous data were calculated as the average value, 95% confidence intervals; for nonparametric data, the median, 25% and 75% quartiles and interquartile range. …”
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Simplicial homeomorphs and trace-bounded hypergraphs by Jason Long, Bhargav Narayanan, Corrine Yap

“…Since no planar graph contains a $K_5$ minor, this is a generalization of the four-colour theorem. This paper concerns generalizations of Mader's theorem to $k$-dimensional simplicial complexes. …”
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The Existence of Periodic Orbits and Invariant Tori for Some 3-Dimensional Quadratic Systems by Yanan Jiang, Maoan Han, Dongmei Xiao

“…We use the normal form theory, averaging method, and integral manifold theorem to study the existence of limit cycles in Lotka-Volterra systems and the existence of invariant tori in quadratic systems in ℝ3.…”
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A hypothesis on ergodicity and the signal‐to‐noise paradox by Daniel J. Brener

“…Using the ensemble mean as our best forecast of observations amounts to interpreting it as the most likely phase‐space trajectory, which relies on the ergodic theorem. This can fail for ensemble forecasting systems if members are not perfectly exchangeable with each other, the averaging window is too short and/or there are too few members. …”
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Asymptotic Stability of Delay-Controlled Nonlinear Stochastic Systems with Actuator Failures by N. Zhou, R. H. Huan

“…Time delay control force is converted into delay-free one by randomly periodic characteristic of the system. Using limit theorem and stochastic averaging, an approximate formula for the largest Lyapunov exponent of the original system is then derived, from which necessary and sufficient conditions for asymptotic stability are obtained. …”
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Novel fixed point results for a class of enriched nonspreading mappings in real Banach spaces by Asima Razzaque, Imo Kalu Agwu, Naeem Saleem, Donatus Ikechi Igbokwe, Maggie Aphane

“…The results obtained solve the open question raised in Nonlinear Analysis 73 (2010): 1562–1568 for nonspreading-type mappings incorporating an averaged mapping. Moreover, we studied the estimation of common invariant points of this new class of mappings and the class of enriched nonexpansive operators and provided a strong convergence theorem for these mappings.…”
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The Stochastic Hopf Bifurcation and Vibrational Response of a Double Pendulum System Under Delayed Feedback Control by Ruichen Qi, Shaoyi Chen, Caiyun Huang, Qiubao Wang

“…Based on the center manifold theorem and stochastic averaging method, a reduced-order dynamic model of the system is established, with a focus on analyzing the influence of time delay parameters and stochastic excitation on the system’s Hopf bifurcation characteristics. …”
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Scattering, absorption and emission of highly excited strings by M. Firrotta, E. Kiritsis, V. Niarchos

“…We obtain new exact compact formulae for heavy-heavy-light-light scattering amplitudes in open or closed bosonic string theories, and derive explicit exact expressions for the absorption cross-sections, and corresponding emission rates, of highly excited string states using the optical theorem and time reversal symmetry. We show that these expressions are independent of the microscopic structure of the excited string states without averaging. …”
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Bootstrapping conformal defect operators on a line by Parijat Dey, Kausik Ghosh

“…We utilize the framework of crossing symmetric Polyakov bootstrap and compute the averaged CFT data to O(ϵ) up to a finite number of ambiguities. …”
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Stability Investigation of an AC-DC Power System Feeding a Buck Converter Controlled by Sliding Mode Controller by Surabadin Daengdon, Apichai Suyapan, Kongpan Areerak, Jakkrit Pakdeeto

“…The stability analysis is conducted using the eigenvalue theorem and based on a system mathematical model derived through a combination of the DQ and the generalized state-space averaging methods. …”
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An Intelligent Ensemble Neural Network Model for Wind Speed Prediction in Renewable Energy Systems by V. Ranganayaki, S. N. Deepa

“…The proposed criteria for fixing hidden neurons are validated employing the convergence theorem. The proposed intelligent ensemble neural model is applied for wind speed prediction application considering the real time wind data collected from the nearby locations. …”
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Study on the Load-Adaptive Control Method of Quasizero Stiffness Vibration Isolator Based on the Semi-Analytical Solution by Shuyan Xia, Dawei An, Daolin Xu

“…Then, based on the Lyapunov stability theorem, a two-stage load-adaptive control method is developed by setting the control target to be the semianalytical solution of the steady-state orbit solved by the averaging method. …”
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Square Root Compression and Noise Effects in Digitally Transformed Images by Craig E. DeForest, Chris Lowder, Daniel B. Seaton, Matthew J. West

“…., image pixels) are averaged together. Using direct modeling of the probability distribution of particular coded values in the presence of instrument noise, one may apply Bayes’ theorem to construct a decoding table that reduces this error source to a very small fraction of a digitizer step; in our example, systematic error from square root coding is reduced by a factor of 20 from 0.23 to 0.012 count rms. …”
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