{"id":"W2402187764","doi":"","title":"Binomial Structures Associated with a q 2 -Analogue Operator.","year":2015,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Binomial (polynomial); Operator (biology); Statistics; Discrete mathematics","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":[],"consensus_categories":[],"category_scores_codex":[0.0002750741,0.0002142914,0.0003267883,0.00006363072,0.00009008028,0.00005305072,0.0003100026,0.000137317,0.00003950491],"category_scores_gemma":[0.001779946,0.0001738765,0.00004561626,0.0002703685,0.00009597831,0.0001588715,0.00009795737,0.0002744957,0.00002827133],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002124479,"about_ca_system_score_gemma":0.0001509384,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001177299,"about_ca_topic_score_gemma":0.00004479618,"domain_scores_codex":[0.9986523,0.0001017383,0.0002504016,0.0002723329,0.0004092329,0.000313999],"domain_scores_gemma":[0.9986359,0.0003209427,0.0001455005,0.0004566623,0.0002557807,0.0001852072],"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":[0.00002559106,0.00008719436,0.001822944,0.000005271238,0.00007947494,0.00003425302,0.0005008858,0.000006492805,0.00002537124,0.9915577,0.005783856,0.00007101818],"study_design_scores_gemma":[0.001986209,0.0001304171,0.0009107388,0.00002167238,0.00004558405,0.000009383475,0.0001445325,0.00002140077,0.0009173797,0.994947,0.0006202495,0.0002454011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9942495,0.00004842665,0.0001267212,0.0001103963,0.001223859,0.0002072644,0.00001264945,0.0002065537,0.003814664],"genre_scores_gemma":[0.9949681,9.769611e-7,0.004542735,0.00009966097,0.00002867214,0.0000167222,0.00001946255,0.0000511376,0.0002725117],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005163606,"threshold_uncertainty_score":0.7090477,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04935547644493283,"score_gpt":0.3045036013529289,"score_spread":0.255148124907996,"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."}}