{"id":"W1970111813","doi":"10.1016/j.crma.2010.02.010","title":"A remark on the effective Mordell Conjecture and rational pre-images under quadratic dynamical systems","year":2010,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Conjecture; Inverse; Bounded function; Quadratic equation; Rational point; Combinatorics; Dynamical systems theory; Pure mathematics; Point (geometry); Periodic point; Orbit (dynamics); Mathematical analysis; Geometry; Physics","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":[0.002312655,0.0006983029,0.0008304105,0.001405715,0.002040389,0.003597976,0.001454524,0.001500971,0.009277494],"category_scores_gemma":[0.006923561,0.0004013016,0.0008100704,0.0008498183,0.006238406,0.005971736,0.003234721,0.003486843,0.001078926],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002233007,"about_ca_system_score_gemma":0.0005518555,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002146022,"about_ca_topic_score_gemma":0.001414627,"domain_scores_codex":[0.9985065,0.0003532094,0.00005852654,0.0003106483,0.0003892981,0.0003817156],"domain_scores_gemma":[0.9946972,0.003226292,0.0003600271,0.0007609755,0.0004883382,0.0004671604],"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":[0.00006480798,0.00001280215,0.0005123529,0.00006771497,0.000005589565,0.0001532453,0.0002846793,0.001264888,0.0007193817,0.9912412,0.001989128,0.003684177],"study_design_scores_gemma":[0.00003471821,0.00005520958,0.001006428,0.00005264358,0.000009765854,0.0001891912,0.0002245774,0.006280841,0.00128049,0.9824899,0.008352019,0.00002428857],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4661686,0.005782062,0.1489099,0.0236967,0.001444547,0.00007132244,0.0004882253,0.0008276784,0.3526111],"genre_scores_gemma":[0.9757396,0.001132349,0.008521063,0.001086448,0.0006965114,0.00004870782,0.0001731483,0.00008327416,0.0125189],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009277494,"threshold_uncertainty_score":0.03103632,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01519232885882674,"score_gpt":0.2835457996623466,"score_spread":0.2683534708035198,"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."}}