Optimal design for eigen-frequencies of a longitudinal bar using Pontryagin's maximum principle considering the influence of concentrated mass by Bui Hai Le, Tran Minh Thuy

“…By considering eigen frequencies as state variables, the analogy coefficient k in the necessary optimality condition is explicitly determined. …”
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Incorporating stand parameters in nonlinear height-diameter mixed-effects model for uneven-aged Larix gmelinii forests by Muhammad Junaid Ismail, Tika Ram Poudel, Akber Ali, Lingbo Dong

“…Fifteen widely recognized nonlinear functions were assessed to model the H-D relationship effectively. …”
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Non-Destructive Detection of Fillet Fish Quality Using MQ135 Gas Sensor and Neutrosophic Logic-Enhanced System by M. Y. Shams, M. R. Darwesh, Roheet Bhatnagar, N. S. A. Al-Sattary, A. A. Salama, M. S. Ghoname

“…Artificial intelligence algorithms were employed to predict quality and calculate regression coefficients. Using the reference neural network algorithm based on chemical and physical compounds, regression coefficients (R values) achieved were 0.99, 0.98, and 0.97, respectively. …”
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Bayesian inference of structured latent spaces from neural population activity with the orthogonal stochastic linear mixing model. by Rui Meng, Kristofer E Bouchard

“…The brain produces diverse functions, from perceiving sounds to producing arm reaches, through the collective activity of populations of many neurons. …”
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Family Resilience and Its Influencing Factors Among Patients With Lung Cancer Based on Double ABC‐X Theoretical Framework by Ziyi Shen, Yan Fang, Chengcheng Li, Xin Luo, Junling Cui, Yanchang Liu, Jingfang Hong

“…Relationships between variables and pathways were also explored based on the Double ABC‐X as the theoretical framework. …”
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Fuzzy System for the Quality Assessment of Educational Multimedia Edition Design by Vsevolod Senkivskyy, Liubomyr Sikora, Nataliia Lysa, Alona Kudriashova, Iryna Pikh

“…A multilevel model of fuzzy logical inference is constructed, representing the dependency between quality factors. Membership functions for linguistic variables are formed and their weight coefficients are determined using pairwise comparison matrices. …”
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Structural Parameter Identification Using Multi-Objective Modified Directional Bat Algorithm by LIU Li-jun, LIN Ying-hai, SU Yong-hui, LEI Ying

“…However， traditional single-objective optimization methods， which aggregate multiple evaluation indices into a single weighted objective function， often face challenges. The manual determination of weight factors introduces subjectivity， which can significantly affect the accuracy of the results. …”
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The Relationship Between Supply Environment, Supply Chain Integration and Performance Considering Opportunistic Behaviors by Abbas َAsadi, safanaz Heidari

“…Then, inferential statistics are employed to explain the relationships between variables and generalize the results to the society. …”
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Explanation of factors affecting the sense of place in religious places of Iran (case examples of historical mosques in Tabriz by Lida Akhlaghi, Asadollah Shafizadeh

“…Spss and Amos software were used for these analyses.The results showed that perceptual and physical factors have the greatest effect in inducing a sense of place in the historical mosques of Tabriz, and social and functional factors have less effect. Among the investigated variables, vitality has the highest correlation coefficient and impact on the sense of place. …”
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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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Inverse problem of life cycle assessment (LCA): its application in designing for environment (DfE) by Rybaczewska-Błażejowska Magdalena, Masternak-Janus Aneta, Gierulski Wacław

“…The dependencies between input and output signals were defined by nonlinear functions of several variables. Next, linearization was used and coefficient aki was calculated. …”
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Social capital as a determinant of quality of life in greek cancer patients: a cross-sectional study by Athanasios Pitis, Maria Diamantopoulou, Aspasia Panagiotou, Dimitrios Papageorgiou, Foteini Tzavella

“…The association between QoL and Social capital scales was checked via Spearman correlation coefficients (rho).ResultsGreater total score in Social capital scale was significantly associated with greater overall QoL (β = 0.005; p < 0.001), better Emotional functioning (β = 0.004; p = 0.004) and better Social functioning (β = 0.009; p = 0.002),with lower Nausea and vomiting (β = −0.017; p = 0.015), Insomnia (β = −0.014; p = 0.002), Appetite loss (β = −0.010; p = 0.018) and Constipation symptoms (β = −0.009; p = 0.047).ConclusionThere was a strong association between a greater social capital score and the quality of life of Greek cancer patients, indicating that higher levels of social capital are associated with improved quality of life.…”
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Coupled Bending-Bending-Torsion Vibration of a Pre-Twisted Beam with Aerofoil Cross-Section by the Finite Element Method by Bulent Yardimoglu, Daniel J. Inman

“…The advantage of the present element is the exclusion of unnecessary derivatives of fundamental nodal variables, which were included to obtain invertable square matrix by other researchers, by choosing proper displacement functions and using relationship between cross-sectional rotation and the shear deformation. …”
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Predicting Wastewater Characteristics Using Artificial Neural Network and Machine Learning Methods for Enhanced Operation of Oxidation Ditch by Igor Gulshin, Nikolay Makisha

“…This study investigates the operational efficiency of the lab-scale oxidation ditch (OD) functioning in simultaneous nitrification and denitrification modes, focusing on forecasting biochemical oxygen demand (BOD₅) concentrations over a five-day horizon. …”
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Cardiometabolic risk factors in predicting obstructive coronary artery disease in patients with non-ST-segment elevation acute coronary syndrome by B. I. Geltser, M. M. Tsivanyuk, K. I. Shakhgeldyan, E. D. Emtseva, A. A. Vishnevskiy

“…The predictors of this model were 7 categorical (total cholesterol (CS) ≥5,9 mmol/L, low-density lipoprotein cholesterol >3,5 mmol/L, waist-to-hip ratio ≥0,9, waist-to-height ratio ≥0,69, atherogenic index ≥3,4, lipid accumulation product index ≥38,5 cm*mmol/L, uric acid ≥356 pmol/L) and 2 continuous (high density lipoprotein cholesterol and insulin resistance index) variables.Conclusion. The developed algorithm for selecting predictors made it possible to determine their significant predictive threshold values and weighting coefficients characterizing the degree of influence on endpoints. …”
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Feasibility, reliability and validity of smartphone administered cognitive ecological momentary assessments in breast cancer survivors by Ashley M. Henneghan, Ashley M. Henneghan, Emily W. Paolillo, Kathleen M. Van Dyk, Kathleen M. Van Dyk, Oscar Y. Franco-Rocha, Mansi Patel, So Hyeon Bang, Raeanne C. Moore

“…Test–retest reliability was examined using intraclass correlation coefficients for each cognitive EMA (tests and self-report questions), and Pearson's correlation was used to evaluate convergent validity between cognitive EMAs and baseline clinical cognitive variables.Results105 breast cancer survivors completed the EMA protocol with high adherence (87.3%) and high satisfaction (mean 87%). …”
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Predicting and Mapping of Soil Organic Matter with Machine Learning in the Black Soil Region of the Southern Northeast Plain of China by Yiyang Li, Gang Yao, Shuangyi Li, Xiuru Dong

“…The estimation of soil organic matter (SOM) content is essential for understanding the chemical, physical, and biological functions of soil. It is also an important attribute reflecting the quality of black soil. …”
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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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High expression of SOX9 is a diagnostic and prognostic indicator of glioma by Libo Xu, Zhenhao Wang, Mao Li, Qingsong Li

“…Screening was performed by LASSO coefficients to select non-zero variables that satisfied the coefficients of lambda. min, and four genes were screened out. …”
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An Analytical Solution for Natural Frequencies of Elastically Supported Stepped Beams with Rigid Segments by Ferid Kostekci

“…After deriving the transverse displacement functions by means of using the separation-of-variables technique, the frequency equation was found by setting the determinant of the coefficient matrix to zero. …”
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