{"id":"W2950500726","doi":"10.48550/arxiv.0907.4365","title":"A Remark on the Effective Mordell Conjecture and Rational Pre-Images under Quadratic Dynamical Systems","year":2009,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Conjecture; Bounded function; Quadratic equation; Mathematics; Combinatorics; Rational expectations; Pure mathematics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002808367,0.000502793,0.0009375365,0.001623228,0.002109556,0.003522503,0.001212762,0.00167328,0.006842125],"category_scores_gemma":[0.007323967,0.0003503205,0.0006997581,0.0007720238,0.007202031,0.005467594,0.003074227,0.002933412,0.0005823447],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0017435,"about_ca_system_score_gemma":0.0003928519,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001368443,"about_ca_topic_score_gemma":0.000743784,"domain_scores_codex":[0.9985856,0.0002910519,0.00006712834,0.0003101977,0.0004651952,0.0002808398],"domain_scores_gemma":[0.9943647,0.003146934,0.0005050428,0.0009072289,0.0005983224,0.0004776795],"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":[0.00002878805,0.000008290894,0.000362539,0.00003903974,0.000003229335,0.0001076942,0.0001935338,0.0008241864,0.0005386706,0.994944,0.0009737714,0.001976256],"study_design_scores_gemma":[0.00002488438,0.000031424,0.0008510899,0.00002800698,0.000005011252,0.0002156405,0.0001319857,0.005337387,0.0007346831,0.9874173,0.005205591,0.00001703596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5601357,0.00605491,0.1471365,0.02672759,0.001102788,0.0000660001,0.0004655566,0.0004897781,0.2578213],"genre_scores_gemma":[0.9820723,0.0009409608,0.007948983,0.0008554727,0.000616768,0.00004317185,0.0001211664,0.00003970663,0.007361447],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006842125,"threshold_uncertainty_score":0.0228892,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05559301455748971,"score_gpt":0.22141842952213,"score_spread":0.1658254149646402,"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."}}