{"id":"W2568664107","doi":"10.1090/proc/13624","title":"Maximizers for the singular Trudinger-Moser inequalities in the subcritical cases","year":2017,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"Division of Mathematical Sciences; Pacific Institute for the Mathematical Sciences","keywords":"Inequality; Mathematics; Mathematical economics; Pure mathematics; Economics; Applied mathematics; Mathematical analysis; Calculus (dental); Medicine; Orthodontics","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":[0.002691764,0.001495717,0.001120168,0.003402821,0.001717177,0.003227512,0.001672354,0.001532494,0.0106719],"category_scores_gemma":[0.01308385,0.0005592758,0.001415141,0.00148326,0.002819878,0.003593828,0.002580673,0.0034856,0.001797048],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002251491,"about_ca_system_score_gemma":0.001081385,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001973221,"about_ca_topic_score_gemma":0.001881986,"domain_scores_codex":[0.9986965,0.0003793768,0.0000641398,0.0002093636,0.0003278852,0.0003227566],"domain_scores_gemma":[0.9963639,0.001946934,0.0005204015,0.0001953355,0.0005390588,0.0004344358],"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":[0.0000280494,0.00001333034,0.0002897212,0.0001022579,0.00001891112,0.0000831894,0.00009203329,0.00443955,0.0008627487,0.9864489,0.002108605,0.005512684],"study_design_scores_gemma":[0.00001408963,0.00003402181,0.0006873591,0.0001099907,0.00002563653,0.0001628403,0.0001599009,0.07364079,0.001334555,0.9205378,0.003255038,0.00003794691],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2649234,0.005954623,0.452867,0.00720682,0.0006340849,0.0001683213,0.0008745448,0.0004012337,0.26697],"genre_scores_gemma":[0.9190059,0.003521188,0.04748471,0.000810787,0.0006534809,0.0003356278,0.0005340345,0.0002851875,0.02736896],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0106719,"threshold_uncertainty_score":0.03570104,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05478127013453617,"score_gpt":0.3112577279005661,"score_spread":0.2564764577660299,"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."}}