{"id":"W2088407062","doi":"10.3934/dcds.2009.23.541","title":"On the connection formulas of the third Painlevé transcendent","year":2008,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Connection (principal bundle); Mathematical physics; Mathematics; Pure mathematics; Arch; Mathematical analysis; Geometry","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":[0.00008513038,0.0001088371,0.0001883606,0.00001032905,0.0002265893,0.00002420501,0.0001256093,0.00003596664,0.00001287076],"category_scores_gemma":[0.000006042491,0.0000527958,0.0001507842,0.00006066612,0.000114447,0.00002743537,0.00002204218,0.0001398626,0.000002306638],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007982769,"about_ca_system_score_gemma":0.00001291023,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005119384,"about_ca_topic_score_gemma":0.00001584436,"domain_scores_codex":[0.9992393,0.0001000275,0.0002113377,0.0001353932,0.0001538374,0.0001601494],"domain_scores_gemma":[0.9995071,0.0001248509,0.00008550878,0.0002112257,0.0000296697,0.00004162339],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00006822111,0.0001581116,0.04229934,0.00004051928,0.0001981471,0.000002698935,0.001379174,0.0001623759,0.001865341,0.9514536,0.0006341092,0.001738337],"study_design_scores_gemma":[0.01119438,0.00243523,0.2948007,0.001952101,0.0007719588,0.0002210367,0.04034581,0.5397373,0.005697716,0.06294569,0.03661203,0.003285994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.986822,0.00005123393,0.001951602,0.0004455112,0.0002111793,0.0003266852,0.00006028016,0.00001106387,0.01012041],"genre_scores_gemma":[0.9986567,0.00000368225,0.000003221276,0.00003423314,0.0001401028,0.00001712285,0.000009106328,0.000008830158,0.001126927],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.888508,"threshold_uncertainty_score":0.215295,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008126186145374489,"score_gpt":0.2099343721152956,"score_spread":0.2018081859699211,"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."}}