Physics-Informed Preform Design for Flashless 3D Forging via Material Point Backtracking and Finite Element Simulations by Gracious Ngaile, Karthikeyan Kumaran

“…Beyond supporting the development of new flashless forging sequences, the method also offers a framework for modifying preforms during production to minimize waste and for diagnosing preform defects linked to variability in frictional conditions, die temperatures, or material properties. …”
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Positive Invertibility of Matrices and Exponential Stability of Linear Stochastic Systems with Delay by Ramazan Kadiev, Arcady Ponosov

“…The work addresses the exponential moment stability of solutions of large systems of linear differential Itô equations with variable delays by means of a modified regularization method, which can be viewed as an alternative to the technique based on Lyapunov or Lyapunov-like functionals. …”
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ANALYTICAL SOLUTIONS OF NON-LINEAR HEAT CONDUCTION PROBLEMS by V. A. Bondarev

“…An example of calculations in the case of variable coefficients of thermal conductivity and radiative heating transfer on the boundaries is considered in the paper. …”
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The Relation between Contraception Methods and Quality of Life by Narjes Bahri, Hamid R Tohidinik, Roghayeh R Bilandi, Mona Larki, Fatemeh Hooshangi, Maliheh Soltanian

“…After performing different statistical tests in bivariate analysis, the multi-variable linear regression was used to assess the association between method of contraception and domains of quality of life adjusting for other confounding factors Results: Women with Tubal sterilization had significant worse “physical functioning” [adjusted regression coefficient=-5.14 (95%CI:-10.2 to -0.01)] but better “general health perceptions” [adjusted regression coefficient=6.8(95%CI: 2.1 to 11.5)] than those preferring male condom (reference). …”
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THE TEMPERATURE DEPENDENCE OF UNSTEADY HEAT CONDUCTION IN SOLIDS by L. M. Ozherelkova, E. S. Savin

“…Both in the case of high and low temperatures, the temperature dependences of the heat capacity and the thermal conductivity coefficient are power-law, which allows us to bring the original heat conduction equation to a form that allows the use of the classical method of variable separation in solving the corresponding boundary value problems for the heat conduction equation. …”
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Gevrey Asymptotics for Logarithmic-Type Solutions to Singularly Perturbed Problems with Nonlocal Nonlinearities by Stéphane Malek

“…Their coefficients and forcing terms comprise polynomial and logarithmic-type functions in time and are bounded holomorphic in space. …”
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Nonlinearity Estimation and Compensation for Accurate PMSM Modeling and Voltage Prediction by Beichen Ding, Yuting Lu, Chunyan Lai, Weiwen Peng, Kaide Huang, Guodong Feng

“…Specifically, the offsets to the base model are modeled using nonlinear functions with variable coefficients to compensate saturation and core loss effect, which can achieve better accuracy without changing the model structure. …”
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Modeling biogeochemical processes in the Azov Sea using statistically processed data on river flow by A. I. Sukhinov, Y. V. Belova, A. V. Nikitina, A. M. Atayan

“…In the course of statistical analysis of the series of long-term observations over river flows, the values of the following indicators were found: skewness coefficient, degree of kurtosis, variance and standard deviation, coefficient of variation, autocorrelation coefficient, Neumann ratio, and Anderson criterion.Results. …”
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CHANGES AND TRENDS IN WINE PRODUCTION AND CONSUMPTION IN THE WORLD AND ROMANIA DURING THE PERIOD 2007-2018 by Agatha POPESCU

“…The paper analyzed the evolution of wine production and consumption in Romania and at the world level in order to identify the main changes and trends in the period 2007-2018 using official data which have been processed using fixed and variable indices, correlation coefficients, regression functions, consumption/production rate, export/consumption rate, self sufficiency rate and import dependency rate. …”
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Effect of electrostatic and intermolecular forces on free small vibrations of a micro-cantilever by Геннадий Иванович Михасев, Вячеслав Владимирович Мисник, Марина Георгиевна Ботогова

“…The derived governing equation with variable coefficients is solved using both the asymptotic approach and the Runge – Kutta method. …”
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Leveraging Cognitive and Speech Ecological Momentary Assessment in Individuals With Phenylketonuria: Development and Usability Study of Cognitive Fluctuations in a Rare Disease Pop... by Shifali Singh, Lisa Kluen, Katelin Curtis, Raquel Norel, Carla Agurto, Elizabeth Grinspoon, Zoe Hawks, Shawn Christ, Susan Waisbren, Guillermo Cecchi, Laura Germine

“…Similarly, to assess variability in task performance over the course of all EMAs, the coefficient of variability was computed; 28% for the task measuring sustained attention, 37% for semantic fluency, 15.8% for the task measuring executive functioning, and 17.6% for processing speed. …”
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Dynamic Stability of a Circular Pre-Stressed Elastic Orthotropic Plate Subjected to Shock Excitation by Yuriy A. Rossikhin, Marina V. Shitikova

“…Behind the fronts of these waves, the solution is constructed in terms of ray series, which coefficients are the different order discontinuities in partial time-derivatives of the desired functions, and a variable is the time elapsed after the wave arrival at the plate’s point under consideration. …”
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Dynamics of a Nonlinear Energy Harvesting System in Time-Delayed Feedback Control under Stochastic Excitations by Shuling Zhang, Ying Zhang, Zhongkui Sun, Xiaxia Duan

“…An equivalent decoupling system can be obtained by using a variable transformation. Based on the standard stochastic averaging method, the Fokker–Plank–Kolmogorov equation and the stationary probability density functions of the amplitude, displacement, and velocity of the harvester are obtained, respectively. …”
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Faktor-Faktor yang Mempengaruhi Auditor Switching dengan Financial Distress sebagai Pemoderasi by Herninda Pitaloka, Agung Guritno

“…The analysis included descriptive statistical tests, model feasibility tests, classification matrix tests, the formation of logistic regression functions, partial parameter significance tests, simultaneous parameter significance tests, coefficients of determination tests and MRA tests. …”
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Bearing Fault Diagnosis under Transient Conditions: Using Variational Mode Decomposition and the Symmetrized Dot Pattern-Based Convolutional Neural Network Model by Jide Jia, Jianmin Mei, Chuang Sun, Fengjuan Yang

“…To eliminate the noise components, VMD was used to decompose the vibration signal into different frequency bands to obtain the intrinsic mode functions (IMFs), which were further represented by SDP images, and feature images were extracted according to the noncorrelation coefficient. …”
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Measuring and estimation of suspended sediment variation using sediment rating curve approach in Mereg River by Sohila Aghabeigi Amin, Heidar Mirzaei

“…As a major component of hydrological, geomorphological, and ecological functioning of rivers, suspended sediment has been identified as the leading direct cause of river instabilities. …”
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Monte Carlo-Based Strategy for Assessing the Impact of EEG Data Uncertainty on Confidence in Convolutional Neural Network Classification by Pierre Sedi Nzakuna, Vincenzo Gallo, Vincenzo Paciello, Aime Lay-Ekuakille, Angelo Kuti Lusala

“…We introduce robust evaluation metrics, including the proportion of area under the curve (AUC) of probability density functions (PDFs) <inline-formula> <tex-math notation="LaTeX">$\geq 70$ </tex-math></inline-formula>% accuracy, overlap coefficients, and percentile-based thresholding, which provide a more comprehensive assessment of model performance, capturing not only accuracy but also confidence and ambiguity in predictions. …”
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Machine learning-driven benchmarking of China's wastewater treatment plant electricity consumption by Minjian Li, Chongqiao Tang, Junhan Gu, Nianchu Li, Ahemaide Zhou, Kunlin Wu, Zhibo Zhang, Hui Huang, Hongqiang Ren

“…To overcome the complexity of wastewater compositions, an unsupervised machine learning algorithm, spectral clustering, is introduced to analyze 2,576 WWTPs across China, effectively characterizing influent quality as a single variable and contributing to robust benchmarks with 75 % of the fittings achieving coefficients of determination (R2) >0.85. …”
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Structural Integrity and Life Assessment of Ti-6Al-4V Orthopaedic Implants by Katarina Čolić, Svetlana M. Kostić, Simon Sedmak, Nenad Gubeljak, Aleksandar Grbović

“…In X-FEM, the finite element space is enriched with discontinuity functions and asymptotic functions at the crack tip, which are integrated into the standard finite element approximation using the unity division property. …”
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Mechanical Properties and Statistical Damage Constitutive Model of Rock under a Coupled Chemical-Mechanical Condition by Yun Lin, Feng Gao, Keping Zhou, Rugao Gao, Hongquan Guo

“…To investigate the mechanical damage evolution process of rock under a coupled chemical-mechanical (CM) condition, an improved statistical damage constitutive model was established using the Drucker-Prager (D-P) strength criterion and two-parameter Weibull distribution. The damage variable correction coefficient and chemical damage variable which was determined by porosity were also considered in the model. …”
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