{"id":"W2051675810","doi":"10.1142/s0129167x07004060","title":"LOCAL GRADIENT ESTIMATES FOR QUOTIENT EQUATIONS IN CONFORMAL GEOMETRY","year":2007,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Quotient; Conformal map; Mathematics; Conformal geometry; Mathematical analysis; Extremal length; Geometry; Pure mathematics; Conformal field theory","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001661387,0.000147415,0.0003085602,0.0005832745,0.00004209342,0.00006143908,0.0004671109,0.00007760581,0.00008288071],"category_scores_gemma":[0.002995321,0.0001281967,0.0001997822,0.0001631235,0.00007230839,0.0002199055,0.00006224989,0.0001916047,0.0000136151],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002369706,"about_ca_system_score_gemma":0.0001088214,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007721335,"about_ca_topic_score_gemma":0.0001132816,"domain_scores_codex":[0.9975313,0.00001584117,0.00133882,0.00009298513,0.0007668338,0.0002541987],"domain_scores_gemma":[0.9958361,0.002366699,0.0007273301,0.0001325869,0.000829627,0.0001076843],"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":[0.0001921392,0.002886904,0.0008635576,0.0001812701,0.0004813737,0.0000687524,0.003598548,0.001746086,0.001493616,0.9760228,0.0007564294,0.01170846],"study_design_scores_gemma":[0.004429517,0.0005355353,0.001554514,0.0007215473,0.0002401969,0.0003043433,0.003880027,0.1170044,0.01919942,0.8501418,0.001510713,0.0004779775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1997504,0.0000296472,0.7986066,0.0002844298,0.0007467448,0.0002126543,0.00002416399,0.00001398227,0.0003313245],"genre_scores_gemma":[0.8133037,0.000004344024,0.1863034,0.0000474614,0.0002364386,0.000006441384,0.00001182195,0.00002250679,0.00006391746],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6135533,"threshold_uncertainty_score":0.5227709,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06710320879022882,"score_gpt":0.3827526099157039,"score_spread":0.315649401125475,"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."}}