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

“…The singular kernel is modified to take a logarithmic form, while the kernels of time are continuous and positive functions. Using the separation of variables technique, we have a system of Fredholm integral equations (FIEs) that can be transformed into an algebraic system after using orthogonal polynomials. …”
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Panoramic spatial enhanced resolution proteomics (PSERP) reveals tumor architecture and heterogeneity in gliomas by Ziyan Xu, Yunzhi Wang, Tao Xie, Rongkui Luo, Heng-Li Ni, Hang Xiang, Shaoshuai Tang, Subei Tan, Rundong Fang, Peng Ran, Qiao Zhang, Xiaomeng Xu, Sha Tian, Fuchu He, Wenjun Yang, Chen Ding

“…Abstract The spatial proteomic profiling of complex tissues is essential for investigating cellular function in physiological and pathological states. …”
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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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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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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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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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Removal of chromium from synthetic wastewater by electrocoagulation and using natural coagulant (blend of hen eggshell powder with lime): optimization of response surface methodolo... by Werkne Sorsa Muleta, Firomsa Bidira Abdi, Endrias Adane Bekele

“…The central composite design of the response surface methodology was employed to estimate and optimize process variables, such as initial Cr concentration (225–475 mg/L), solution pH (5–9), and current density (0.35–045 A/m2), and treatment time (30–40 min) with an electrode distance (ED) of 0.5 and 1 cm, respectively. 99.90% and 99.74% of removal efficiencies were observed at initial Cr concentration of 456.11 mg/L, a solution pH of 5.45, with current density of 0.47 A/m2, and treatment time of 36.84 min. …”
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Vanadium remediation from polluted wastewater using a novel non-conventional adsorbent by Manar Banwan Hasan, Suha Anwer Ibrahim, Nisreen Mizher Rahmah, Thekra Atta Ibrahim, Alaa Hani Alminshid, Mohammed Nsaif Abbas

“…The obtained results indicated that the vanadium recovery efficiency reached 81 % and was in direct proportion to the pH, agitation speed, and contact time, and inversely with other variables, while adsorption capacity reaching 0.1 mg/g. …”
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Contextual Vulnerability Should Guide Fair Subject Selection in Xenotransplantation Clinical Trials by Gianna Strand

“…[xv] The center they present to and the variable evaluative criteria the center uses may discount an individual’s claim to a fair opportunity to access a scarce resource. …”
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Examining the Factors Affecting the Use of Crypto Assets as Foreign Payment and Investment Instruments: A Quantitative Study by Güneş Yılmaz, Tayfur Süleyman Koç

“…Along with path coefficients, f² and q² effect sizes were also analyzed to examine the interaction between the variables. …”
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Impact of short-term aircraft noise on cardiovascular disease risk in the area surrounding London Heathrow airport: the RISTANCO epidemiological study by Xiangpu Gong, Nicole Itzkowitz, Calvin Jephcote, Kathryn Adams, Glory O Atilola, John Gulliver, Marta Blangiardo, Anna Hansell

“…To identify areas with high variability in aircraft noise exposure (due to changes in flight paths because of wind direction and airport operations), we used coefficients of variation (CoV). …”
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Analysis of Factors Influencing the Development of Community-Based Tourism in Rural Areas, Case Study: Villages Targeted by Tourism in the Markazi Province by Hamid Afshari, Behrouz Mohammadi Yeganeh, Hossein Farahani, Mehdi Cheraghi

“…Thus, the aim of the present research is to find the variables affecting community-based tourism in the target villages of Markazi Province. …”
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Reliability of the Cutting Alignment Scoring Tool (CAST) to Assess Trunk and Limb Alignment During a 45-Degree Side-Step Cut by Lauren S Butler, Eryn K Milian, Amie DeVerna, Kevin Latz, Henry B Ellis, Alexa R Martinez, Kristin Hayden, Christian Gerstenkorn, Sara C Carpenito, Charles W Wyatt, Dai Sugimoto

“…Moderate kappa coefficients were found for trunk lean (k= 0.632) and fair kappa coefficients were noted for dynamic and static valgus (k=0.462 and k= 0.533 respectively)…”
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A MODEL OF AGE–STRUCTURED POPULATION UNDER STOCHASTIC PERTURBATION OF DEATH AND BIRTH RATES by Maxim A. Alshanskiy

“…Under consideration is construction of a model of age-structured population reflecting random oscillations of the death and birth rate functions. We arrive at an Itô-type difference equation in a Hilbert space of functions which can not be transformed into a proper Itô equation via passing to the limit procedure due to the properties of the operator coefficients. …”
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A Mixture of Clayton, Gumbel, and Frank Copulas: A Complete Dependence Model by M. A. Boateng, A. Y. Omari-Sasu, R. K. Avuglah, N. K. Frempong

“…The corresponding density and conditional distribution functions of the derived models for two random variables, as well as an estimator for the proportion parameter associated with the proposed model, are also derived. …”
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Closed-Form Solutions to Differential Equations via Differential Evolution by L. Mex, Carlos A. Cruz-Villar, F. Peñuñuri

“…First, the problem is stated as an optimization problem where the independent variables are elementary functions. Second, as the domain of DE is real numbers, we propose a grammar that assigns numbers to functions. …”
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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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Application of Polylogarithms to the Approximate Solution of the Inhomogeneous Telegraph Equation for the Distortionless Line by P. G. Lasy, I. N. Meleshko

“…Solutions to both problems can be found by separating the variables in the form of a series of trigonometric functions of the line point with time-dependent coefficients. …”
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Blind deconvolution estimation by multi-exponential models and alternated least squares approximations: Free-form and sparse approach. by Daniel U Campos-Delgado, Omar Gutierrez-Navarro, Ricardo Salinas-Martinez, Elvis Duran, Aldo R Mejia-Rodriguez, Miguel J Velazquez-Duran, Javier A Jo

“…On the other hand, the same exponential functions are used in the whole dataset in the global perspective, and just the scaling coefficients are updated for each spatial point. …”
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