{"id":"W1866317213","doi":"10.1017/s030500411700010x","title":"Diophantine approximation on polynomial curves","year":2017,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Diophantine approximation; Dimension (graph theory); Polynomial; Euclidean space; Diophantine set; Space (punctuation); Euclidean geometry; Diophantine 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":[0.001412724,0.0003308572,0.0006324011,0.0000247918,0.0007550808,0.000107761,0.001441151,0.0002388217,0.00006986392],"category_scores_gemma":[0.003797104,0.000214258,0.0007288957,0.0001483361,0.000867062,0.0002956837,0.0006030269,0.0005785055,0.00004633713],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005533618,"about_ca_system_score_gemma":0.00002202636,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001313522,"about_ca_topic_score_gemma":1.957631e-8,"domain_scores_codex":[0.9976972,0.00002016859,0.0006549279,0.0003980175,0.0008326341,0.0003970992],"domain_scores_gemma":[0.9977138,0.0004422386,0.0008133115,0.0006708833,0.0002104878,0.0001492631],"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":[0.00006681554,0.0005220431,0.0001475984,0.002445655,0.0001127361,3.863164e-7,0.0001421373,1.021741e-7,0.003040513,0.9686614,0.02469939,0.0001611772],"study_design_scores_gemma":[0.0006966661,0.00009507755,0.001062914,0.001303241,0.0001302232,0.00002091964,0.00006436586,0.0004125344,0.02683161,0.9689224,0.0001625017,0.0002975364],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.847858,0.0000557198,0.0003032804,0.04634512,0.0002421136,0.0009445164,0.00002815498,0.0001564823,0.1040666],"genre_scores_gemma":[0.9951885,0.00002359801,0.002443332,0.0008210309,0.0005379909,0.00004107828,0.000001300282,0.00004804554,0.0008951003],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1473306,"threshold_uncertainty_score":0.8737189,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04628416223653754,"score_gpt":0.2971178006492588,"score_spread":0.2508336384127213,"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."}}