{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008527173,0.0004802373,0.0005342565,0.002101638,0.002153642,0.002576131,0.0006705703,0.001267762,0.01892215],"category_scores_gemma":[0.001910238,0.0003317704,0.0005658441,0.001003968,0.00260143,0.002998775,0.00235175,0.002039897,0.002325971],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000848246,"about_ca_system_score_gemma":0.0006564901,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008211002,"about_ca_topic_score_gemma":0.0009288799,"domain_scores_codex":[0.9992286,0.0001786608,0.00002894463,0.0001027473,0.0002471207,0.0002138935],"domain_scores_gemma":[0.9992306,0.0001781424,0.0001049225,0.00007238722,0.0001755645,0.0002382839],"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":[0.00002599979,0.00002025254,0.0001144689,0.0000150554,0.000002939918,0.0002129768,0.0001183466,0.0001204093,0.001057086,0.9943194,0.00166662,0.002326351],"study_design_scores_gemma":[0.00002781248,0.00003156702,0.0003536912,0.00002097979,0.000006216359,0.0005371782,0.0001564277,0.002551257,0.0006632642,0.9890351,0.006597491,0.00001904073],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3352798,0.001057597,0.1009633,0.003666131,0.002483721,0.0001178191,0.0003799658,0.0004589797,0.5555926],"genre_scores_gemma":[0.9044443,0.0004482273,0.01610961,0.0009141395,0.0008228145,0.00006841676,0.0001994988,0.0001304254,0.07686254],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01892215,"threshold_uncertainty_score":0.06330091,"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."}}