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2101
Revisiting the Group Classification of the General Nonlinear Heat Equation <i>u<sub>t</sub></i> = (<i>K</i>(<i>u</i>)<i>u<sub>x</sub></i>)<i><sub>x</sub></i>
Published 2025-03-01“…In this paper, we revisit the group classification of the general nonlinear heat (or diffusion) equation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>u</mi><mi>t</mi></msub><mo>=</mo><msub><mfenced separators="" open="(" close=")"><mi>K</mi><mrow><mo>(</mo><mi>u</mi><mo>)</mo></mrow><mspace width="0.166667em"></mspace><msub><mi>u</mi><mi>x</mi></msub></mfenced><mi>x</mi></msub><mo>,</mo></mrow></semantics></math></inline-formula> where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mo>(</mo><mi>u</mi><mo>)</mo></mrow></semantics></math></inline-formula> is a non-constant function of the dependent variable. We present the group classification framework, derive the determining equations for the coefficients of the infinitesimal generators of the admitted symmetry groups, and systematically solve for admissible forms of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mo>(</mo><mi>u</mi><mo>)</mo></mrow></semantics></math></inline-formula>. …”
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2102
Evaluation of ChatGPT-4 as an Online Outpatient Assistant in Puerperal Mastitis Management: Content Analysis of an Observational Study
Published 2025-07-01“…However, evaluator variability and the subjective nature of assessments highlight the need for further optimization of AI tools. …”
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2103
The Relationship Between Supply Environment, Supply Chain Integration and Performance Considering Opportunistic Behaviors
Published 2025-03-01“…Then, inferential statistics are employed to explain the relationships between variables and generalize the results to the society. …”
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2104
Imbalanced Power Spectral Generation for Respiratory Rate and Uncertainty Estimations Based on Photoplethysmography Signal
Published 2025-02-01“…Thus, accurate estimation of RRs for cardiopulmonary function is essential for home health monitoring systems. …”
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2105
Age-Related Differences in Bimanual Isometric Force Tracking
Published 2025-01-01“…Notably, the percentage of total force exerted by the left hand was negatively correlated with the disparity between the left and right coefficients of variation. This study confirms previous findings on the effect of aging on bimanual force control and provides evidence suggesting that the contribution of each hand may depend on the variability in force exertion.…”
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2106
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2107
A New Ground-Motion Prediction Model for Shallow Crustal Earthquakes in Türkiye
Published 2025-03-01“…Additionally, a heteroscedastic model was created for aleatory variability as a function of <i>M<sub>W</sub></i>. The closest distance to the surface projection of the fault plane (<i>R<sub>JB</sub></i>) is between 0 and 350 km. …”
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2108
The potential habitat of Phlomoides rotata in Tibet was based on an optimized MaxEnt model
Published 2025-06-01“…IntroductionPhlomoides rotata, an important Tibetan medicinal plant, has garnered significant attention due to its remarkable medicinal value and ecological functions. However, overharvesting and climate change have progressively reduced its distribution range, threatening its survival.MethodsThis study employed an optimized MaxEnt model, integrating field survey data and multiple environmental variables, to predict and analyze the potential suitable distribution of P. rotata in Tibet.ResultsThe model achieved high predictive accuracy, with Ture skill statistic (TSS) = 0.87 and Cohen’s Kappa Coefficient (Kappa) = 0.81. …”
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2109
Deep Reinforcement Learning With Dueling DQN for Partial Computation Offloading and Resource Allocation in Mobile Edge Computing
Published 2025-01-01“…The Dueling DQN alleviates the complexity of simultaneous offloading and resource allocation decisions, with each branch independently controlling a subset of the decision variables to scale efficiently with an increasing number of IoT devices, thereby avoiding the combinatorial explosion of potential actions. …”
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2110
Impact of Low-dose Imaging on PET Quantitative Accuracy and Image Quality
Published 2025-02-01“…Subsequently, the recovery coefficient (RC), contrast recovery coefficient (CRC), contrast-to-noise ratio (CNR), percent background variability (PBV), background coefficient of variation (BCV), and residual error (RE) of the lung insert at different image planes were calculated within the phantom. …”
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2111
Investigating Whether AI Will Replace Human Physicians and Understanding the Interplay of the Source of Consultation, Health-Related Stigma, and Explanations of Diagnoses on Patien...
Published 2025-03-01“…The main effects and interaction effects of the variables were examined on individuals’ functional, relational, and emotional evaluations of the medical consultation. …”
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2112
Factors Influencing Telemedicine Adoption Among Health Care Professionals: Qualitative Interview Study
Published 2025-01-01“…Perceived benefits encompassed convenience through reduced travel time (5/14, 36%), improved care quality due to higher accessibility (8/14, 57%), and operational efficiency (7/14, 50%). Trust referents played a pivotal role; trust in technology was linked to functionality (6/14, 43%) and reliability (5/14, 36%), while trust in treatment depended on effective collaboration (9/14, 64%). …”
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2113
Long-term evolution of the calibration constant on a mobile water vapour Raman lidar
Published 2025-06-01“…We note that the use of ground-based measurements does not introduce any more uncertainty in the lidar calibration coefficient than vertical profiles obtained by radiosondes or airborne means. …”
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2114
The Effectiveness of Using the Reggio Emilia Approach on the Experimental Science Lesson for Third-Grade Elementary Students
Published 2024-03-01“…Results of the normality test for the research variables (level 1, 2, and 3 science learning) in third-grade students indicated that all variables, both pre-test and post-test, met the assumption of normality, with significance levels greater than 0.05. …”
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2115
Crisis Communication About the Maui Wildfires on TikTok: Content Analysis of Engagement With Maui Wildfire–Related Posts Over 1 Year
Published 2025-03-01“…Using TikTok’s search functionality, we identified and reviewed public posts that contained relevant hashtags. …”
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2116
REALITIES AND EFFECTIVENESS OF THE UKRAINIAN BANKING SYSTEM
Published 2022-07-01“…The simulation results (mainly the analysis of impulse response functions) allow concluding that interbank lending in post-crisis conditions recovers relatively rapidly (with a lag of two years). …”
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2117
Association between TSH Values and GFR Levels in Euthyroid Cases with Metabolic Syndrome
Published 2021-01-01“…Partial correlation coefficients were calculated to investigate the relationship between the eGFR values and several other numerical variables while controlling for age and BMI in addition to the adjusted gender effect. …”
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2118
Recent Advances in Vitamin E TPGS-Based Organic Nanocarriers for Enhancing the Oral Bioavailability of Active Compounds: A Systematic Review
Published 2025-04-01“…Despite using the same excipient, variability in particle size, zeta potential, and encapsulation efficiency among nanocarriers indicates the need for tailored formulations. …”
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2119
Strategies to support the mental health and well-being of health and care workforce: a rapid review of reviews
Published 2025-03-01“…The call to action for a paradigm shift must be embraced and we must strive to build resilient healthcare systems and invest in active support and sustain them, incorporating structural, non-structural and functional aspects of organizational resilience.…”
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2120
Neighborhood competition improves biomass estimation for Scots pine (Pinus sylvestris L.) but not Pyrenean oak (Quercus pyrenaica Willd.) in young mixed forest stands
Published 2025-08-01“…Therefore, accurate biomass estimation is essential for understanding ecosystem functioning and informing forest management strategies to mitigate climate change. …”
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