A Framework for Estimating the Probability Distribution of Event Runoff Coefficient in Ungauged Catchments by Yanchen Zheng, Gemma Coxon, Ross Woods, Jianzhu Li, Ping Feng

“…Good estimations are obtained with the median value of coefficient of determination (R2) reaching 0.85 across all test catchments. …”
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A State Space Method for Modal Identification of Mechanical Systems from Time Domain Responses by Xiaobo Liu

“…A key step in this method is the identification of the characteristic polynomial coefficients of an adjoint system. …”
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Dual-Indicator Micro-Electro-Mechanical System Monitoring Method for Rock Instability Early Warning by Chen Chen, Mowen Xie, Yan Du, Xiaoyong Zhang

“…This study proposes a Micro-Electro-Mechanical System (MEMS) sensor-based monitoring method using dual dynamic indicators. By analyzing sensor mechanisms through vibration dynamics theory and establishing theoretical models via moment equilibrium equations, we derived a quantitative correlation between natural frequency (NF) and safety factor, identifying a 4:3 scaling coefficient specific to toppling-type unstable rocks. …”
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An Effective Method for Solving Fractional Integrodifferential Equations of the Volterra and Fredholm Types Based on the Lucas Polynomials by Shabaz Jalil Mohammedfaeq, Miran Bayan Mohammed Amin, Dashne Chapuk Zahir, Shazad Shawki Ahmed

“…The new approach focusses on using a matrix strategy to convert the supplied equation with conditions into an algebraic linear system of equations with unknown Lucas coefficients. The coefficients of the presumed solution are determined by the solution of this system. …”
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Optimization of Candida rugosa lipase immobilization parameters on magnetic silica aerogel using adsorption method by Jafarsadegh Moghaddas, Leila Amirkhani, Hoda Jafarizadeh- Malmiri

“…Second order regression models with high coefficient determination (R2) values of higher than 0.98 were fitted to predict the response as function of immobilization parameters. …”
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A New Legendre Collocation Method for Solving a Two-Dimensional Fractional Diffusion Equation by A. H. Bhrawy

“…The method depends basically on the fact that an expansion in a series of shifted Legendre polynomials PL,n(x)PL,m(y), for the function and its space-fractional derivatives occurring in the partial fractional differential equation (PFDE), is assumed; the expansion coefficients are then determined by reducing the PFDE with its boundary and initial conditions to a system of ordinary differential equations (SODEs) for these coefficients. …”
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Quantitative analysis method for isoeugenol in fishery products using gas chromatography–tandem mass spectrometry by Ye-Bin Jang, Yeong-Ju Jo, Mi-ok Kim, Gui-Hyun Jang

“…A method determining isoeugenol, a widely used fish anesthetic, was established using GC-MS/MS. …”
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Research on the Oil Cooling Structure Design Method of Permanent Magnet Synchronous Motors for Electric Vehicles by Shijun Chen, Cheng Miao, Xinyu Chen, Wei Qian, Songchao Chu

“…A systematic design methodology for oil jet nozzles and housing oil channels is investigated, determining the average convective heat transfer coefficient on end-winding surfaces and the heat dissipation factor of the oil channels. …”
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Water requirements and crop coefficients of tropical forest seedlings in different shading conditions by Emanoeli B. Monteiro, Andréa C. da Silva, Adilson P. Souza, Adriana A. Tanaka, Brena G. Ferneda, Charles C. Martim

“…ABSTRACT The objective was to determine the crop evapotranspiration (ETc) and crop coefficients (Kc) of tropical forest seedlings over a 135-day cycle, in the climatic conditions of the Cerrado-Amazon transitional region (11º 51’ 08 “S; 55º 30’ 56” W; altitude of 371 m). …”
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Prediction of loess collapsibility coefficient using bayesian optimized random forest model by Wan Zhang, Jiangtao Guo, Zhaopeng Li, Ruifang Cheng, Cuiping Ning, Hongfeng Niu, Ze Liu

“…The traditional method for determining the collapsibility coefficient is time-consuming, labor-intensive, and expensive. …”
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Effect of Drying Method on Selected Physical and Functional Properties of Powdered Black Soldier Fly Larvae by Radosław Bogusz, Małgorzata Nowacka, Ewa Gondek, Murat Delman, Karolina Szulc

“…The mathematical modeling of the water vapor adsorption kinetics of insect powders via the second Fick’s law for transient diffusion showed that this equation is suitable for adjusting the experimental data based on the high coefficient of determination (0.997–0.999) and the low root mean square (2.50–3.34%). …”
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A Precise Prediction Method for Subsurface Temperatures Based on the Rock Resistivity–Temperature Coupling Model by Ri Wang, Guoshu Huang, Jian Yang, Lichao Liu, Wang Luo, Xiangyun Hu

“…We then input the 2D magnetotelluric inversion results into the model, and the subsurface temperature distribution can be predicted indirectly with high precision on the basis of the resistivity–temperature coupling relationship. We validated this method in the Xiong’an New Area, China, and the determination coefficient (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>R</mi><mn>2</mn></msup></semantics></math></inline-formula>) of maximum temperature prediction reached 98.88%. …”
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Predicting the Young’s Modulus of Concrete Using a Particle-Based Movable Cellular Automata Method by Dorota Aniszewska, Marek Rybaczuk

“…Results showed high agreement between simulations and experimental data, confirmed by a high coefficient of determination R² of 0.84 and mean squared error of 2.43 GPa². …”
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A Dynamic Kalman Filtering Method for Multi-Object Fruit Tracking and Counting in Complex Orchards by Yaning Zhai, Ling Zhang, Xin Hu, Fanghu Yang, Yang Huang

“…For fruit counting, the method attains a high coefficient-of-determination of 0.85 and a low root-mean-square error (RMSE) of 1.57, exhibiting high accuracy and stability of fruit detection, tracking and counting in video sequences under complex orchard environments.…”
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Elastic-plastic fracture analysis of pressure pipelines with axial cracks based on the interaction integral method. by Qi Song, Huifen Peng, Junyu Yao, Min Luo

“…The three-dimensional finite element model of pressure pipeline with axial cracks was built by utilizing the Ramberg-Osgood X80 material model of pipeline. according to Von Mises yield criterion, the size of plastic zone at crack tip was determined, and the fracture parameters were calculated based on interaction integral method, the plastic stress deformation law, determination of elastic-plastic limit load and plastic correction of SIF at crack tip of pressure pipeline with axial crack were discussed. …”
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RESOLVING POWER OF MODIFIED IMAGE RECONSTRUCTION METHOD IN SPIN DENSITY PROJECTIONS IN MAGNETIC RESONANCE IMAGING by S. A. Baruzdin

“…The well-known method of image reconstruction by projections in magnetic resonance imaging uses spin echo excited by two sinc pulses. …”
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Study on Detection Method of Sulfamethazine Residues in Duck Blood Based on Surface-Enhanced Raman Spectroscopy by Junshi Huang, Runhua Zhou, Jinlong Lin, Qi Chen, Ping Liu, Shuanggen Huang, Jinhui Zhao

“…The experimental results found that the adaptive iteratively reweighted penalized least-squares method (air-PLS) was the best preprocessing method, and the competitive adaptive reweighted sampling–multiple linear regression (CARS-MLR) model demonstrated the best prediction performance, with a coefficient of determination for the prediction set (R_p²) of 0.9817, a root mean square error of calibration (RMSEC) of 1.5539 mg/L, a relative prediction deviation (RPD) of 7.1953, and limits of quantification of 0.75 mg/L. …”
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Radiation Mapping: A Gaussian Multi-Kernel Weighting Method for Source Investigation in Disaster Scenarios by Songbai Zhang, Qi Liu, Jie Chen, Yujin Cao, Guoqing Wang

“…Notably, the coefficient of determination (<i>R</i>²) increased to 0.937. …”
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Research on the Transformer Failure Diagnosis Method Based on Fluorescence Spectroscopy Analysis and SBOA Optimized BPNN by Xueqing Chen, Dacheng Li, Anjing Wang

“…By using the mathematical evaluation methods to comprehensively evaluate and compare the effects of various algorithm models, it was found that the Loess-MDS-SBOA-BP model has the best performance, with its determination coefficient (R²) increasing to 99.711%, the root mean square error (RMSE) being only 0.27144, and the other evaluation indicators also being optimal. …”
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An Improved Size and Direction Adaptive Filtering Method for Bathymetry Using ATLAS ATL03 Data by Lei Kuang, Mingquan Liu, Dongfang Zhang, Chengjun Li, Lihe Wu

“…After applying refraction correction, the high accuracy of bathymetry was evidenced by a strong coefficient of determination (R<sup data-eusoft-scrollable-element="1">2</sup>) and a low root mean square error (RMSE) between the ICESat-2 bathymetry data and ALB data. …”
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