{"id":"W3200844714","doi":"10.58997/ejde.2020.14","title":"Existence of rational solutions for q-difference Painleve equations","year":2020,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Meromorphic and Entire Functions","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"Natural Science Foundation of Jiangxi Province; National Natural Science Foundation of China","keywords":"Mathematics; Meromorphic function; Convergence (economics); Pure mathematics; Nevanlinna theory; Applied mathematics; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001342304,0.0006793937,0.0008145619,0.001687773,0.001123433,0.00231753,0.0006906343,0.00133283,0.005036046],"category_scores_gemma":[0.007265525,0.0004684933,0.0008875736,0.000551427,0.002088677,0.003255769,0.001754676,0.001842816,0.0006798906],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001066746,"about_ca_system_score_gemma":0.0005798919,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005911103,"about_ca_topic_score_gemma":0.0003748568,"domain_scores_codex":[0.9995261,0.0001058995,0.00004106853,0.0000870672,0.0001325456,0.0001072951],"domain_scores_gemma":[0.9986026,0.0006392185,0.0002222268,0.00006960194,0.0002994041,0.0001669584],"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":[0.00009171834,0.00003244899,0.001832071,0.0001152967,0.00001620672,0.0005376082,0.0007018953,0.005728656,0.0116059,0.9711514,0.0007866066,0.007400321],"study_design_scores_gemma":[0.0001723383,0.0001324996,0.001873632,0.0001246087,0.00002360956,0.001356903,0.001035929,0.08908965,0.00671705,0.8936591,0.005720295,0.0000943163],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7687626,0.001291278,0.1870331,0.001838591,0.0001418885,0.00009211198,0.0001690791,0.0001274758,0.04054391],"genre_scores_gemma":[0.9761203,0.0007178275,0.01313419,0.0001128164,0.0000769035,0.00007120963,0.0001165163,0.00004437263,0.009605873],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005036046,"threshold_uncertainty_score":0.01684731,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1427781463076278,"score_gpt":0.3118312306769673,"score_spread":0.1690530843693396,"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."}}