Novel Hybrid Function Operational Matrices of Fractional Integration: An Application for Solving Multi-Order Fractional Differential Equations by Seshu Kumar Damarla, Madhusree Kundu

“…The developed algorithm was then applied to a range of benchmark problems, including both linear and nonlinear multi-order FDEs with constant and variable coefficients. Numerical comparisons with well-established methods in the literature revealed that the proposed approach not only achieved higher accuracy but also significantly reduced computational effort, demonstrating its potential as a reliable and efficient numerical tool for fractional-order modeling.…”
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The quartic anharmonic oscillator – an oscillator-basis expansion approach. II. Study of the wave functions and acceleration of the expansions convergence by V. A. Babenko, A. V. Nesterov

“…This improved method drastically accelerates the convergence of expansions across the entire range of the coupling constant variation, thereby substantially increasing the efficiency of the applied method by allowing calculations with a very small number of expansion basis functions N ≲ 10. …”
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Optimization of Solid-State Fermentation Process for Dietary Fiber in Flaxseed Meal and Analysis of Its Microstructure and Functional Properties by Chunpeng Hou, Yiyang Zhang, Jiaxun Chen, Jianguo Hu, Chenxian Yang, Fusheng Chen, Tingwei Zhu, Ying Xin, Xiaohui Geng

“…In this study, we used <i>Bacillus subtilis</i> K6, a dominant microbial strain, for solid-state fermentation (SSF) of FSM following preliminary screening to improve FSM utilization efficiency and enhance the soluble dietary fiber (SDF) content while modifying its functional properties. …”
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RELIABILITY ANALYSIS FOR JACK-UP GEARBOX BASED ON COPULA BAYESIAN NETWORK by ZHANG Qing, LIU Chao, SUN YuanTao, QIN XianRong

“…However,the Copula Bayesian network takes advantage of both Copula function and Bayesian network,it can takes the correlation of variables into consideration by using Copula function,and makes probability inference of reliability at the same time. …”
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Investigating One-, Two-, and Triple-Wave Solutions via Multiple Exp-Function Method Arising in Engineering Sciences by Pengbo Wan, Jalil Manafian, Hajar Farhan Ismael, Sizar Abid Mohammed

“…The multiple Exp-function method is employed for searching the multiple soliton solutions for the new extended (3+1)-dimensional Jimbo-Miwa-like (JM) equation, the extended (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (eCBS) equation, the generalization of the (2+1)-dimensional Bogoyavlensky-Konopelchenko (BK) equation, and a variable-coefficient extension of the DJKM (vDJKM) equation, which contain one-soliton-, two-soliton-, and triple-soliton-kind solutions. …”
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Polymorphism of <i>GH/HaeIII</i> and <i>GDF9/AsplEI</i> genes, genetic variation and association of their genotypes with immune status in sheep of different breeds ranched in diffe... by A. A. Ozdemirov, A. I. Surov, E. S. Surzhikova, A. A. Khozhokov, Z. K. Gadzhiev, D. D. Evlagina, E. M. Alieva, R. A. Akaeva

“…The  purpose  of  this  research  was  to  study  the  genetic  polymorphism  of genes, the degree of genetic variability and immune status in sheep of different breeds, since genetic polymorphism is a measure of its adaptability and the hematopoietic function of blood is the basis of the life of the organism.Material and Methods. …”
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The CFS-PML for 2D Auxiliary Differential Equation FDTD Method Using Associated Hermite Orthogonal Functions by Feng Jiang, Xiao-Ping Miao, Feng Lu, Li-Yuan Su, Yao Ma

“…The complex frequency shifted (CFS) perfectly matched layer (PML) is proposed for the two-dimensional auxiliary differential equation (ADE) finite-difference time-domain (FDTD) method combined with Associated Hermite (AH) orthogonal functions. According to the property of constitutive parameters of CFS-PML (CPML) absorbing boundary conditions (ABCs), the auxiliary differential variables are introduced. …”
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DIFFERENCES IN AGRICULTURAL RETURNS IN SESAME PRODUCTION: AN EMPIRICAL EVIDENCE OF EFFICIENCY IN FACTOR INPUT ALLOCATION IN RINGIM LOCAL GOVERNMENT AREA, JIGAWA STATE, NIGERIA by Tohib Oyeyode OBALOLA, Abdullahi Abbas YAKUBU

“…The results also reveal net farm income and return on naira invested of N 46,190.59 and 1.54 respectively, an indication of a profitable enterprise. The semi-log functional form gave the best fit based on the normal econometric criteria with coefficient of multiple determination of 0.312 implying that about 31 percent of the variation in yield of sesame was explained by the specified explanatory variables. …”
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Comparative effects of arithmetic, speech, and motor dual-task walking on gait in stroke survivors: a cross-sectional study by Xueyi Zhang, Xueyi Zhang, Qi Wang, Qiujie Li, Qiujie Li, Hui Liu, Hui Liu, Xianglin Wan, Xianglin Wan

“…This study assessed the acute effects of different types of dual tasks on gait in stroke patients during task performance, informing occupational, and physical therapists about care recommendations to prevent patients from falling and improve their balance function in daily life.MethodsA total of 19 stroke patients (52.7 ± 6.9 years old) performed the walking-only and dual-task walking (motor, arithmetic and speech) task test while a 3D motion capture system measured the gait parameters (the gait spatial-temporal parameters, sagittal angle of lower-limb joints, gait parameter variability and dual-task cost). …”
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Application of Empirical Orthogonal Function Interpolation to Reconstruct Hourly Fine Particulate Matter Concentration Data in Tianjin, China by Hongwu Zhou, Haidong Pan, Shuang Li, Xianqing Lv

“…Finally, six evaluation indices (mean absolute error (MAE), RMSE, correlation coefficient (Corr), deviation rate bias, Nash–Sutcliffe efficiency (NSE), and index of agreement (IA)) are calculated. …”
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Multi-Fidelity Surrogate Modeling via Hierarchical Kriging With Infinite-Width Bayesian Neural Network Correlation Function by Youwei He, Jiangshuo Cui

“…Real engineering problems, including the aerodynamic performance prediction of single axial flow compressor rotor with 31 variables, 3-stage compressor with 144 variables, and 10.5-stage compressor of 1512 variables, are established along with the collected problems to test the performance of the proposed method. …”
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Abnormal intrinsic brain functional network dynamics in patients with retinal detachment based on graph theory and machine learning by Yuanyuan Wang, Yu Ji, Jie Liu, Lianjiang Lv, Zihe Xu, Meimei Yan, Jialu Chen, Zhijun Luo, Xianjun Zeng

“…Employing the sliding time window analysis and K-means clustering method, we sought to identify dynamic functional connectivity (dFC) variability patterns in both groups. …”
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Rolling Bearing Fault Diagnosis Method Based on SWT and Improved Vision Transformer by Saihao Ren, Xiaoping Lou

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Recent Progress in Dimerized Small-Molecular Acceptors for Organic Solar Cells by Xin Tang, Yamin Zhang, Hao-Li Zhang

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PO20 | Impact of endovascular treatment on functional outcome in ischemic stroke: a real-world retrospective study

“…Demographics, vascular risk factors, stroke severity (National Institutes of Health Stroke Scale, NIHSS), neuroimaging findings, procedural variables, and outcomes were collected. Poor functional outcome was defined as modified Rankin Scale (mRS) ≥3 at discharge and at 90 days. …”
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Approximate Solution of Mixed Problem for Telegrapher Equation with Homogeneous Boundary Conditions of First Kind Using Special Functions by P. G. Lasy, I. N. Meleshko

“…The solution of the latter can be found by dividing the variables in the form of a series of trigonometric functions of a line point with time-dependent coefficients. …”
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Intrinsic brain mapping of cognitive abilities: A multiple-dataset study on intelligence and its components by Simone Di Plinio, Mauro Gianni Perrucci, Grazia Ferrara, Maria Rita Sergi, Marco Tommasi, Mariavittoria Martino, Aristide Saggino, Sjoerd JH Ebisch

“…Our findings reveal consistent brain-behavior relationships across the datasets. Nodal efficiency in fronto-parietal sensorimotor regions consistently played a pivotal role in fluid reasoning, whereas efficiency in visual networks was linked to executive functions and memory. …”
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Development of objective test functions for modeling and sensitivity analysis of the mechanical behaviour of aluminum-agro-marine waste composites by Obinna Onyebuchi Barah, Stephen Ndubuisi Nnamchi, Milon Dennison Selvam, Mustafah Muhamad Mundu, Abubakar Abdulkarim

“…Composite samples were prepared according to ASTM standards for tensile, compressive, flexural, wear, and fatigue tests. Objective Test Functions (OTFs) were derived using physical modeling and sensitivity analysis to filter impactful variables. …”
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The Relationship between Executive Functions and Postural Control in Children with Mild Intellectual Disability and Comparison with Typically Developing Peers by Elaheh Azadian, Makwan Jabar Ali

“…Objective Children with intellectual disability (ID) experience significant impairments in both cognitive and motor functions, which impact their balance and postural control. …”
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Exploring undue advantage of differential item functioning in high-stakes assessments: Implications on sustainable development goal 4 by Oluwaseyi Aina Gbolade Opesemowo

“…In ensuring equity of measurement between subgroups at the item level, Differential Item Functioning (DIF) analysis is essential. However, discounting DIF affects validity, thereby making Sustainable Development goal 4 (SDG4) challenging to attain. …”
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