On a Solution of a Third Kind Mixed Integro-Differential Equation with Singular Kernel Using Orthogonal Polynomial Method by Ahmad Alalyani, M. A. Abdou, M. Basseem

“…While when using the separation method, we are able to obtain FIE with time coefficients, and these functions are described as an integral operator in time. …”
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Classification of petroleum origin and integrity by FTIR by FJ. Guzmán-Osorio, VI. Domínguez-Rodríguez, RH. Adams, CE. Lobato-García, A. Guerrero-Peña, JR. Barajas-Hernández

“…The canonic functions derived from the discriminate analysis had correlation coefficients of 0.994, 0.900, and 0.867, among the variables studied and the classification factor. …”
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Vibration Analysis of Rotating Tapered Timoshenko Beams by a New Finite Element Model by Bulent Yardimoglu

“…A new finite element model is developed and subsequently used for transverse vibrations of tapered Timoshenko beams with rectangular cross-section. The displacement functions of the finite element are derived from the coupled displacement field (the polynomial coefficients of transverse displacement and cross-sectional rotation are coupled through consideration of the differential equations of equilibrium) approach by considering the tapering functions of breadth and depth of the beam. …”
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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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INVARIANTS OF GENERALIZED RAPOPORT-LEAS EQUATIONS by E. N. Kushner

“…For the generalized Rapoport-Leas equations, algebra of differential invariants is constructed with respect to point transformations, that is, transformations of independent and dependent variables. The finding of a general transformation of this type reduces to solving an extremely complicated functional equation. …”
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Interpretable Machine Learning Insights into the Factors Influencing Residents’ Travel Distance Distribution by Rui Si, Yaoyu Lin, Dongquan Yang, Qijin Guo

“…Key factors affecting travel distance distributions include the distance to the city center, bus station density, land use entropy, and the density of companies. Most environmental variables exhibit nonlinear and threshold effects on the log-normal distribution coefficients. …”
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Numerical solutions for fractional optimal control problems using Mü‎‎‎‎‎‎‎ntz-Legendre polynomials by Mohammad Sahabi, Allahbakhsh Yazdani Cherati

“…Utilizing the unique properties of Müntz-Legendre polynomials when dealing with fractional operators, these polynomials are used to approximate the state and control variables in the considered problems. Consequently, the fractional optimal control problem is transformed into a nonlinear programming problem through collocation points, yielding unknown coefficients. …”
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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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Fully Parametric Optimization Designs of Wing Components by Zhendong Hu, Ju Qiu, Fa Zhang

“…The changing tendencies of the thickness of wing skins and the cross-section areas of the wing beams are fitted to continuous polynomial functions, whose coefficients are designed as variables, which is a different engineering approach from the size variants of the thickness and the area in the traditional optimization. …”
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Coherence of brain electrical activity: a quality of life indicator in Alzheimer’s disease?Coerência da atividade elétrica cerebral: indicador da qualidade de vida na doença de Alz... by Lineu Corrêa Fonseca, Gloria M. A. S. Tedrus, Ana Laura R. A. Rezende, Heitor F. Giordano

“…Conclusion Interhemispheric coherence correlates with QOL regardless of cognitive and functional variables and seems to be a neurophysiological indicator of QOL in AD patients.…”
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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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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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Reliability and validity of a Japanese version of life-space assessment in institutionalized settings by Tomoyuki Shinohara, PhD, Shota Saito, MS, Ayumi Maruyama, Yuta Yabana, Yosuke Tomita, PhD, Klaus Hauer, PhD

“…Purpose: A reduction in life space (LS) is associated with a negative impact on medical and functional status during hospitalization, with potential consequences after discharge. …”
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Changes in life satisfaction over six years in the general population: A longitudinal study with the Satisfaction With Life Scale (SWLS). by Andreas Hinz, Anja Mehnert-Theuerkauf, Heide Glaesmer, Matthias L Schroeter, Ana N Tibubos, Katja Petrowski, Michael Friedrich

“…However, the knowledge about long-term changes in life satisfaction and the associations between such changes and changes in other variables of physical and mental health is limited.…”
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Comparative Pacing Profile and Chronometric Performance in Elite Swimmers with Intellectual Impairments and Able-Bodied Athletes by Luca Puce, Piotr Zmijewsk, Nicola Luigi Bragazzi, Carlo Trompetto

“…Performance metrics were assessed using 50 m split times, and within-group variability was evaluated through coefficients of variation. …”
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Active Disturbance Rejection Control for an automotive suspension system based on parameter tuning using a fuzzy technique. by Tuan Anh Nguyen

“…The proposed method is formed based on the combination of an Active Disturbance Rejection Control (ADRC) technique with control coefficients tuned by a dynamic fuzzy technique formed based on special membership functions called Active Disturbance Rejection Control Based on Fuzzy (ADRCBF). …”
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A Protocol for Advanced Psychometric Assessment of Surveys by Janet E. Squires, Leslie Hayduk, Alison M. Hutchinson, Lisa A. Cranley, Mark Gierl, Greta G. Cummings, Peter G. Norton, Carole A. Estabrooks

“…Reliability is assessed with internal consistency coefficients and information functions. A unitary approach to validity consisting of accumulating evidence based on instrument content, response processes, internal structure, and relations to other variables is taken. …”
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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 &gt;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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Genetic characterisation of Germanata Veneta and Mignon local duck breeds (Anas platyrhynchos) using whole-genome sequencing by Francesco Perini, Enrico Bortoletto, Filippo Cendron, Umberto Rosani, Emiliano Lasagna, Maristella Baruchello, Martino Cassandro, Mauro Penasa

“…Both breeds showed low genetic variability and high inbreeding (GER: FHOM = 0.305 ± 0.184; MIG: FHOM = 0.369 ± 0.163). …”
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Absorbing Aerosol Effects on Hyperspectral Surface and Underwater UV Irradiances from OMI Measurements and Radiative Transfer Computations by Alexander Vasilkov, Nickolay Krotkov, Matthew Bandel, Hiren Jethva, David Haffner, Zachary Fasnacht, Omar Torres, Changwoo Ahn, Joanna Joiner

“…The output underwater products include the hyperspectral diffuse attenuation coefficients of the planar and scalar irradiances. Effects of the seasonal variability of AAOD on the UV index and the deoxyribonucleic acid (DNA) damage dose rates are considered. …”
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