{"id":"W3181951514","doi":"","title":"On 2-dimensional dual hyperovals of polar type","year":2008,"lang":"en","type":"article","venue":"Utilitas Mathematica","topic":"Fuzzy and Soft Set Theory","field":"Decision Sciences","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Dual (grammatical number); Mathematics; Polar; Type (biology); Arithmetic; Combinatorics; Biology; Physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001910286,0.0001336901,0.0003826309,0.0001716677,0.0001387875,0.00001368889,0.0003899924,0.00007885365,0.003877987],"category_scores_gemma":[0.008284216,0.00008862346,0.0001427301,0.000422324,0.0003174483,0.0001026923,0.0001003833,0.0001150916,0.003575668],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001379563,"about_ca_system_score_gemma":0.00008514347,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002758829,"about_ca_topic_score_gemma":4.494716e-7,"domain_scores_codex":[0.9973378,0.0001799258,0.0006231589,0.0002977529,0.001353075,0.0002083425],"domain_scores_gemma":[0.9938832,0.00485426,0.0001524421,0.0007536799,0.0002514255,0.0001050217],"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":[0.0003781731,0.001037861,0.0005889215,0.00004630655,0.00007610821,0.00009609626,0.004173995,0.00007772446,0.003585417,0.8798432,0.1078293,0.00226696],"study_design_scores_gemma":[0.0003205342,0.0003136258,0.002385371,0.00004150176,0.00001029806,0.0001030058,0.0003369365,0.0004578869,0.002915582,0.9906054,0.002355176,0.0001546481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9508381,0.0001319962,0.00009941862,0.000222293,0.00020681,0.0001174143,0.00002759598,0.00003467913,0.04832164],"genre_scores_gemma":[0.9937103,0.000002958167,0.002660252,0.0002413323,0.00002881807,0.000002244158,0.000002452939,0.00001124256,0.003340385],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1107623,"threshold_uncertainty_score":0.9972002,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1265426283748425,"score_gpt":0.3571488056256548,"score_spread":0.2306061772508123,"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."}}