{"id":"W4391187564","doi":"10.1080/17476933.2023.2293796","title":"Solvability in the sense of sequences for some linear and nonlinear Fredholm operators with the logarithmic Laplacian","year":2024,"lang":"en","type":"article","venue":"Complex Variables and Elliptic Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Logarithm; Nonlinear system; Laplace operator; Sense (electronics); Fredholm integral equation; Fredholm theory; Mathematical analysis; Fredholm determinant; Pure mathematics; Applied mathematics; Integral equation","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001340025,0.0009962199,0.0006062791,0.001414712,0.0007201384,0.001138554,0.000564587,0.001106195,0.001185476],"category_scores_gemma":[0.004316852,0.000222985,0.0008530351,0.000602361,0.002400588,0.001944332,0.002101407,0.001054814,0.0001171707],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005607396,"about_ca_system_score_gemma":0.000581452,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008478864,"about_ca_topic_score_gemma":0.0004844852,"domain_scores_codex":[0.9996238,0.0001537719,0.00002327361,0.00006071853,0.00009215975,0.00004634923],"domain_scores_gemma":[0.9984175,0.0008350848,0.000328655,0.0000535259,0.0002031886,0.0001621482],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001535401,0.0001262663,0.002431473,0.0003288567,0.00008001764,0.001354895,0.001438408,0.1021424,0.02452463,0.8573433,0.0007897199,0.009286526],"study_design_scores_gemma":[0.00003829421,0.0001374707,0.0008331803,0.00003313563,0.00001879129,0.0004674502,0.0003878631,0.6525432,0.004831424,0.3396117,0.001064687,0.00003267858],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6100302,0.0009433236,0.3746461,0.00127921,0.00009794025,0.00007212204,0.00008152718,0.00005759999,0.012792],"genre_scores_gemma":[0.9652025,0.0006164882,0.02418328,0.0001052729,0.0001435982,0.0001158037,0.0001092372,0.00003518293,0.009488578],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001414712,"threshold_uncertainty_score":0.007086873,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1032393536747795,"score_gpt":0.3628002432805686,"score_spread":0.2595608896057892,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}