Completion of the Kernel of the Differentiation Operator by Anatoly N. Morozov

“…One of the most important characteristics of a linear operator is the composition of the kernel.During the spreading of the differentiation operator from the space \( C ^ 1 \) on the space \( W_p ^ 1 \) the kernel does not change. …”
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Real-World Insights Into Dementia Diagnosis Trajectory and Clinical Practice Patterns Unveiled by Natural Language Processing: Development and Usability Study by Hunki Paek, Richard H Fortinsky, Kyeryoung Lee, Liang-Chin Huang, Yazeed S Maghaydah, George A Kuchel, Xiaoyan Wang

“…We applied descriptive statistics, linear, and logistic regression for analysis. …”
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Critical window of gestational greenspace exposure for the risk of low birth weight by Seulkee Heo, Kelvin C Fong, Ji-Young Son, Michelle L Bell

“…The logistic regression with distributed lag non-linear functions, adjusted for maternal characteristics and season, estimated odds ratios (OR) of TLBW per interquartile range increase (0.200) in weekly EVI. …”
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The Relationship Between Quality of Work Life, Job Satisfaction and Burnout in Iranian Occupational Therapists by Amirhossein Dalvand, Samaneh Heidari, Mohammad Kamali, Malahat Akbarfahimi

“…Data were collected using standard questionnaires and analyzed using Pearson’s correlation tests and multiple linear regression analysis. Results: The Mean±SD scores for QWL were 1.79±1.12; for job satisfaction, 1.7±0.2; and for burnout, 0.24±0.7. …”
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Global Marine Heatwaves Under Different Flavors of ENSO by Catherine H. Gregory, Camila Artana, Skylar Lama, Dalena León‐FonFay, Jacopo Sala, Fuan Xiao, Tongtong Xu, Antonietta Capotondi, Cristian Martinez‐Villalobos, Neil J. Holbrook

“…Here, we use 10,000 years of simulations from a Linear Inverse Model (LIM) to address this issue. …”
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Study on the change rule of airflow temperature field in ultra-deep mining shaft by Zhao Siyu, Zhao Xingdong, Li Ang, Deng Lei

“…The results of the study show that when the airflow runs from bottom up in the ultra-deep shaft, the change of airflow temperature is not a simple linear relationship, but a curve relationship similar to a cubic function, showing a law of decreasing first, then increasing and then decreasing. …”
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The Influence of Self-Regulation, Homesickness, and Culture Shock on Migrant Students' Self-Adjustment by Suandara Pratiwi, Budi Astuti, Kasmi Kasmi, Meldi Latifah Saraswati

“…Data collection uses a self-regulation scale, homesickness scale, culture shock scale, and self-adjustment scale, with data analysis using multiple linear regression analysis accompanied by classical assumption tests. …”
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A novel analysis of two parallel connected inverters for isolated DC microgrid system by using droop controller technology by J. Venumadhav, Durgam Rajababu, CH Hussain Bhasha

“…However, oscillations were observed in systems with parallel converters by connecting them with non-linear loads and by operating with unbalanced loads. …”
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Electrochemical Study of Ni20Cr Coatings Applied by HVOF Process in ZnCl2-KCl at High Temperatures by J. Porcayo-Calderón, O. Sotelo-Mazón, M. Casales-Diaz, J. A. Ascencio-Gutierrez, V. M. Salinas-Bravo, L. Martinez-Gomez

“…Electrochemical techniques employed were potentiodynamic polarization curves, open circuit potential, and linear polarization resistance (LPR) measurements. …”
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Lithium niobate on insulator: an emerging nanophotonic crystal for optimized light control by Midhun Murali, Amit Banerjee, Tanmoy Basu

“…A high refractive index and non-linear optical and electro-optical properties enable LN to be used for more efficient manipulation of light. …”
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Analysis of adaptation processes and anxiety levels of university students staying with earthquake survivor families in state dormitories by İbrahim Dağ, Kadriye Olğaç

“…Statistical analyses included descriptive statistics and linear regression using SPSS 25.0. Results Among the participants, 49% reported increased frequency of contact with their families after the earthquake. …”
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Regular Positive Human Contacts Do Not Improve Pigs’ Response to a Lipopolysaccharide Immune Challenge by Oceane Schmitt, Christian Knecht, Birgit Sobczak, Hana Volkmann, Ulrike Gimsa, Jean-Loup Rault

“…Behavioural and physiological data were statistically analysed using general linear models in R. Results: Both treatments showed signs of sickness behaviour following LPS administration, but the two treatments did not differ in the frequency, severity of sickness behaviours, or length of recovery or in the blood plasma concentration of cytokines and cortisol measured. …”
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A comparative analysis of variants of machine learning and time series models in predicting women’s participation in the labor force by Rasha Elstohy, Nevein Aneis, Eman Mounir Ali

“…Various machine learning (ML) algorithms, such as support vector machine (SVM), neural network, K-nearest neighbor (KNN), linear regression, random forest, and AdaBoost, in addition to popular time series algorithms, including autoregressive integrated moving average (ARIMA) and vector autoregressive (VAR) models, have been applied to an actual dataset from the public sector. …”
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Multiple transitions resulting from remediation and re-entry of first-year undergraduate medical students: expectations and experiences, emotions and recommendations by Nokuthula Tlalajoe-Mokhatla

“…These themes are explained by focusing on the participants’ perceptions and following a linear process for the multiple transition stages. …”
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Three Waves of Civilizational Analysis in Sociology by Ruslan G. Braslavskiy

“…The first wave includes the development of the unitary-linear concept of civilization in the middle of the 18th century, its reception in early sociology, and its total marginalization in the late 19th century with sociology’s entry into the classical period. …”
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Design and PIL test of extended Kalman filter for PMSM field oriented control by Meriem Megrini, Ahmed Gaga, Youness Mehdaoui, Jamal Khyat

“…The Field-Oriented Control (FOC) of PMSM is discussed in this research, and the Extended Kalman Filter (EKF) is used to predict the feed back (speed). For the non-linear system, this approach offers an optional estimating strategy that can quickly and accurately estimate state variables. …”
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GrimAge and GrimAge2 Age Acceleration effectively predict mortality risk: a retrospective cohort study by Tieshi Zhu, Yong He, Yixi Wang, Le Zhao

“…Our findings revealed that only GrimAge AA and GrimAge2 AA demonstrated approximately linear and positive associations with all three mortality outcomes. …”
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Role of cervical ultrasonography as a first line tool in the evaluation of patients with globus pharyngeus: A prospective study by Kalaivani P, Bhuvaneswari KA, Shanmathi R, Murali N, Vasumathy S

“…Cervical ultrasonography was done with the Mindray DC-8 ultrasonography system with high frequency linear transducer. Results: Of the 50 patients, 28 (56%) had positive findings on ultrasonography and 22 (44%) had normal findings. …”
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Potential health benefits of eliminating traffic emissions in urban areas. by Shahram Heydari, Masoud Asgharian, Frank J Kelly, Rahul Goel

“…We obtained the distributions of expected PM2.5 concentrations (posterior densities) of different types for 117 cities worldwide. Using the non-linear Integrated Exposure Response (IER) function of PM2.5, we estimated percent reduction in different disease endpoints for a scenario with complete removal of traffic emissions. …”
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Association of hemoglobin-to-red cell distribution width ratio with diabetic retinopathy risk and severity by Bin Wang, Hui Li, Lin Wang, Zaihong Chen

“…This study aimed to investigated the association of HRR with DR risk and severity.MethodsData from the 2005–2008 National Health and Nutrition Examination Survey were analyzed using weighted logistic regression, subgroup analysis, restricted cubic splines, mediation analysis, and other methods.ResultsAmong 1,260 diabetic patients, HRR was inversely associated with DR development (OR = 0.85, P = 0.008), remaining significant post-propensity score matching. A non-linear relationship was identified, with an inflection point at HRR = 10.81 (P for non-linearity < 0.001), above which the protective effect strengthened with increasing HRR. …”
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