Random First-Order Linear Discrete Models and Their Probabilistic Solution: A Comprehensive Study by M.-C. Casabán, J.-C. Cortés, J.-V. Romero, M.-D. Roselló

“…The study is based on Random Variable Transformation method. The obtained results are given in terms of the probability density functions of the data, namely, initial condition, forcing term, and diffusion coefficient. …”
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Reconstructing Equatorial Electron Flux Measurements From Low‐Earth‐Orbit: A Conjunction Based Framework by D. L. Stumbaugh, J. Bortnik, S. G. Claudepierre

“…For each conjunction, we fit the equatorial pitch angle distribution (PAD) parameterized by the function JD=C⋅sinNα. The resulting conjunction data set contains the POES electron flux measurements, L and magnetic local time coordinates, geomagnetic activity Auroral Electrojet index, and C and N coefficients from the PAD fit for each conjunction. …”
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RP-18 HPLC Analysis of Drugs’ Ability to Cross the Blood-Brain Barrier by Anna W. Sobańska, Adam Hekner, Elżbieta Brzezińska

“…On the other hand, discriminant function analyses involving log k and (log k)/PSA as discriminating variables separated the CNS+ and CNS− compounds with the success rate ca. 90%. …”
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Evaluation of the Characteristics of Short Acquisition Times Using the Clear Adaptive Low-Noise Method and Advanced Intelligent Clear-IQ Engine by Ryosuke Ogasawara, Akiko Irikawa, Yuya Watanabe, Tomoya Harada, Shota Hosokawa, Kazuya Koyama, Keisuke Tsuda, Toru Kimura, Koichi Okuda, Yasuyuki Takahashi

“…The images were evaluated based on the coefficient of variation, recovery coefficient, % background variability (N_10mm), % contrast-to-% background variability ratio (Q_H10mm/N_10mm), and contrast-to-noise ratio. …”
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Reconstruction of U.S. Regional-Scale Soybean SIF Based on MODIS Data and BP Neural Network by YAO Jianen, LIU Haiqiu, YANG Man, FENG Jinying, CHEN Xiu, ZHANG Peipei

“…The Pearson correlation coefficient between the original OCO-2 SIF data and MODIS GPP stood were at a modest 0.53. …”
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Physically-based constitutive model and dynamic recrystallization behavior of AISI 4330V mod. Alloy steel under hot working conditions by Jungmin Lee, Sungryul Kim, Byoungkoo Kim, Donghwan Kim

“…To enhance prediction accuracy, key variables such as characteristic stresses, strains, and material constants used in the model were expressed not only as functions of the Zener–Hollomon parameter (Z), but also as functions of forming temperature and strain rate. …”
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ANALYSIS AND OPTIMIZATION OF QUICK-RETURN CHARACTERISTICS OF THE BEATING⁃UP SLEY BASED ON MULTIVARIABLE DESIGN by QIU HaiFei

“…For improving the quick‑return characteristics of the sley movement,an optimal mathematical model for maximum curve displacement Sm of the connectingarm pin was proposed through beating‑up principle analysis and mechanism deduction.A multivariable design space was constructed by use of the component length(lc,lh,lr,lf)and crankangleα.The parametric functional model development of the four‑bar beating‑up with short connecting rod was realized,and its kinematic posture and centroid trajectory were analyzed and verified through mechanism simulation.The results of the case study indicate that the variable lc andαhave more greater influence on the sensitivity of the objective function F(X),and multivariable(DV_1,DV_2,DV_3)coupling can effectively enhance the design plasticity of the quick‑return characteristics of the sley.When the maximum curve displacement Sm of the connectingarm pin increases to 71.41 mm,the extreme position angleθand the travel speed ratio coefficient K are increased by 10.96°and 0.131 respectively,and the quick-return motion effect of the sley is obviously improved.The optimization results accord with the conditions of rod length and mechanism transmission requirement,which are conductive to the design innovation and performance improvement of the four‑bar beating‑up system.…”
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ENERGY-INFORMATION APPROACH FOR FINDING DYNAMICAL PROCESS PATTERN by O. M. Gerget, V. A. Kochegurov

“…Energy-informative approach is used for synthesizing generalized criteria for evaluating the functioning of dynamical biosystems.Given developed criteria and coefficients revealing the degree of tension in the body under normal functioning conditions. …”
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Pavement Deterioration Modeling of the International Roughness Index Based on Fuzzy Logic Approach by Abdualmtalab Ali, Abdalrhman Milad, Hussein ALMufargi, Nur Izzi Md Yusoff

“…Various types of pavement distress, such as fatigue cracking, rutting, longitudinal cracking, block cracking, transverse cracking, patching, ravelling, and potholes, are input variables; these parameters are fuzzified into fuzzy subsets with triangular membership functions. …”
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A robust deep learning approach for photovoltaic power forecasting based on feature selection and variational mode decomposition by Mokhtar Ali, Abdelkerim Souahlia, Abdelhalim Rabehi, Mawloud Guermoui, Ali Teta, Imad Eddine Tibermacine, Abdelaziz Rabehi, Mohamed Benghanem

“…To further enhance model inputs, Variational Mode Decomposition (VMD) is applied to extract informative Intrinsic Mode Functions (IMFs) from the selected features. A comparative evaluation of the models indicates that recurrent neural networks, particularly GRU and LSTM, deliver superior performance across various metrics, including RMSE, MAE, nRMSE, nMAE, R², and the correlation coefficient. …”
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Optimized Control of Hybrid Energy Storage Systems Using Whale Optimization Algorithm for Enhanced Battery Longevity and Stability in Microgrids by Nouman Alam Siddiqui, Hira Tahir, Muhammad Akram, Habib Ullah Manzoor

“…The method optimizes two key variables: current sharing coefficients and the smoothing constant, enabling continuous HESS functionality. …”
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Numerical Analysis of the Preloading Consolidation of the Soft Foundation with a Plastic Drainage Plate by Linjie Li, Shuaidong Yang, Tong Su

“…The permeability coefficient and void ratio are related to the stress state of the soil, which manifests as the temporal and spatial variability of consolidation. …”
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The Effect of Capital Ownership and Ownership Spread on Economic Income Distribution by Esat Daşdemir, Halil Tunalı

“…According to the obtained results, an increase in the ratio of publicly traded stocks improves income distribution; in other words, the GINI coefficient decreases. This result was determined to be more intense in the Turkish economy with the dummy variables that were used. …”
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Parameter Estimation for Line Impedance in Distribution Network Based on μPMU Data by Zitong ZHANG, Qun ZHOU, Yulin DIAN, Zichao GUAN, Yue YIN, Minrui LENG, Xueshan LIU

“…Moreover, through designed experiments the weight coefficients of the objective function and the size of the dataset are determined appropriately to reduce the influence of errors on the solution results such that the model can be solved with higher accuracy. …”
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Predictive model of small choroidal melanoma progression after eye-saving treatment based on clinical, morphometric and immunological parameters by E. B. Myakoshina, I. G. Kulikova, N. V. Balatskaya, L. A. Katargina, S. V. Saakyan

“…A formula was calculated where P (z) is the value of the logistic function; Z, linear combination of symptoms; bo , intercept (free term), bi – regression coefficients for parameters Zi.P (z) = 1 : 1 + e – b0– b1z1– b2z2– b3z3– b4z4The logistic function increases monotonically and takes the values from 0 to 1 for any b and Z values [P∈ (0;1)]. …”
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Improvement of medical images with multi-objective genetic algorithm and adaptive morphological transformations by Sadeq Moradzadeh, Vahid Mehrdad

“…Additionally, variable coefficients for these transformations are incorporated into the improved image formula, unlike previous studies that utilized constant coefficients. …”
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Influence of structural surface roughness on the strength of layered fill bodies based on PFC2D by Jinxing WANG, Zongsheng HU, Huazhe JIAO, Xiaolin YANG, Qi ZHANG, Xiaohui LIU, Ping XU, Junqiang XU, Xun CHEN

“…The relationship between cemented surface roughness and backfill strength is examined by analyzing variables such as cemented surface roughness, mass fraction of slurry, cement-to-sand ratio, and filling interval time. …”
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Stability and Optimal Control Analysis for a Fractional-Order Industrial Virus-Propagation Model Based on SCADA System by Luping Huang, Dapeng Gao, Shiqiang Feng, Jindong Li

“…As is known to all, there is no unified method to establish a Lyapunov function. In this paper, by constructing an appropriate Lyapunov function and applying the method of undetermined coefficients, we prove the global asymptotic stability for all possible equilibrium points. …”
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Dimensions-Reduced Volterra Digital Pre-Distortion Based On Orthogonal Basis for Band-Limited Nonlinear Opto-Electronic Components by Hananel Faig, Yaron Yoffe, Eyal Wohlgemuth, Dan Sadot

“…However, naive implementation of the Volterra polynomial model usually introduces significant complexity due to the large number of model coefficients. Here, we propose the use of orthogonal polynomial basis functions for efficient DPD implementation. …”
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Allometric equation for estimating aboveground biomass of Acacia-Commiphora forest, southern Ethiopia by Wondimagegn Amanuel, Chala Tadesse, Moges Molla, Desalegn Getinet, Zenebe Mekonnen

“…Data was transformed to logarithmic functions and multiple linear regression techniques were used to develop model to estimate aboveground biomass (AGB). …”
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