{"id":"W2045882129","doi":"10.4153/cjm-2010-032-0","title":"An Explicit Treatment of Cubic Function Fields with Applications","year":2010,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"University of Wyoming","keywords":"Mathematics; Polynomial; Square (algebra); Discriminant; Simple (philosophy); Function (biology); Signature (topology); Field (mathematics); Cube root; Cubic form; Pure mathematics; Singularity; Square root; Computation; Cubic function; Base (topology); Combinatorics; Mathematical analysis; Algorithm; Geometry; Computer science","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":[0.0004046388,0.0004200659,0.0003426768,0.001004977,0.001418937,0.001417629,0.0007812317,0.0005439579,0.005708451],"category_scores_gemma":[0.001025425,0.0001646409,0.000435647,0.0008994173,0.001758796,0.001653371,0.001121446,0.001856485,0.0008007761],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001247262,"about_ca_system_score_gemma":0.00106241,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002334673,"about_ca_topic_score_gemma":0.003629331,"domain_scores_codex":[0.9997573,0.00003882256,0.000009164924,0.00001700909,0.0001059043,0.0000717398],"domain_scores_gemma":[0.9997106,0.00006640227,0.00002274074,0.00006605641,0.00009730455,0.00003686364],"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":[0.00002096003,0.00002094405,0.0002727535,0.00004227828,0.000001371385,0.0003106521,0.0003940841,0.002754221,0.001898707,0.9824562,0.001489283,0.01033863],"study_design_scores_gemma":[0.00001990504,0.00004908069,0.0004274663,0.00008426193,0.000006743825,0.0006703397,0.0004352641,0.03638971,0.003847886,0.8897306,0.06830712,0.00003156036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3628379,0.001410439,0.3179423,0.00294657,0.0008450631,0.000129182,0.000223464,0.000627808,0.3130373],"genre_scores_gemma":[0.9188493,0.000655766,0.04732795,0.0003463506,0.000202759,0.00003786351,0.0001128922,0.0001340162,0.03233311],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005708451,"threshold_uncertainty_score":0.01909667,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02279484213505547,"score_gpt":0.2618381101368054,"score_spread":0.2390432680017499,"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."}}