{"id":"W1501170577","doi":"10.1007/978-3-540-79456-1_24","title":"Tabulation of Cubic Function Fields with Imaginary and Unusual Hessian","year":2008,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Hessian matrix; Generalization; Degree (music); Function (biology); Cubic function; Square (algebra); Cubic form; Discriminant; Mathematics; Mathematical analysis; Combinatorics; Physics; Geometry; Computer science; Applied mathematics; Artificial intelligence","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":[0.0004531157,0.0004946758,0.0007494761,0.001290698,0.001137779,0.00167139,0.001063464,0.0005969677,0.02712668],"category_scores_gemma":[0.002484412,0.0002328457,0.0005466562,0.00127507,0.0011982,0.002249866,0.0009073651,0.001207885,0.003506553],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006175037,"about_ca_system_score_gemma":0.0006303811,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008520721,"about_ca_topic_score_gemma":0.001148287,"domain_scores_codex":[0.9997557,0.00005873835,0.00001299051,0.00003120389,0.00009139149,0.00004992096],"domain_scores_gemma":[0.999395,0.000192672,0.0000449783,0.0001961742,0.0001235437,0.00004760311],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00017798,0.00005158867,0.0004224576,0.0002155267,0.00001002971,0.0001874439,0.0002704319,0.005745588,0.003755714,0.9011988,0.0188303,0.06913406],"study_design_scores_gemma":[0.00004562535,0.00005065745,0.0004011425,0.00005513743,0.00001426192,0.0002985506,0.0001618371,0.0343009,0.003831589,0.9339644,0.02684046,0.00003544915],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3438654,0.001477207,0.3354316,0.0013564,0.001196223,0.0002040878,0.001824233,0.00407887,0.310566],"genre_scores_gemma":[0.8445378,0.0005588381,0.09299079,0.000513553,0.0003374863,0.0001168171,0.001593874,0.00221819,0.05713265],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02712668,"threshold_uncertainty_score":0.09074777,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01707715315291196,"score_gpt":0.2459748159425682,"score_spread":0.2288976627896562,"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."}}