{"id":"W4388317972","doi":"10.1093/oso/9780198505617.005.0003","title":"Asymptotics for <i>q</i> -factorials","year":2000,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Combinatorics","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":[0.005432776,0.001460854,0.001656535,0.006412088,0.003464016,0.006235808,0.003257474,0.003122832,0.03389464],"category_scores_gemma":[0.03299386,0.001254175,0.002047476,0.003813186,0.006528166,0.01154285,0.004099809,0.006398092,0.005664333],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.005075214,"about_ca_system_score_gemma":0.001710376,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002156842,"about_ca_topic_score_gemma":0.00198324,"domain_scores_codex":[0.9961738,0.001294345,0.000143418,0.000608484,0.001185689,0.000594346],"domain_scores_gemma":[0.9812739,0.01269076,0.0009276706,0.00210384,0.001790091,0.001213658],"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":[0.00001682648,0.00002176273,0.0001965283,0.00005443889,0.00000500762,0.00003321276,0.00008996296,0.000537599,0.0003086338,0.9907486,0.003437675,0.004549806],"study_design_scores_gemma":[0.000008810728,0.000007498491,0.0002925921,0.0000388699,0.000008273377,0.0001416994,0.00003060705,0.006225005,0.0002125316,0.989358,0.003660995,0.00001515355],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.09393506,0.006597368,0.3609662,0.01162526,0.001823889,0.0001472925,0.000618295,0.003099044,0.5211875],"genre_scores_gemma":[0.8181936,0.00341408,0.0643888,0.003819439,0.004554228,0.0007650758,0.00069961,0.002431268,0.1017339],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.03389464,"threshold_uncertainty_score":0.1133888,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03807506390446683,"score_gpt":0.2945142205117252,"score_spread":0.2564391566072584,"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."}}