{"id":"W2167078769","doi":"10.37236/818","title":"Generating Random Elements in Finite Groups","year":2008,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Combinatorics; Mathematics; Cube (algebra); Order (exchange); Product (mathematics); Distribution (mathematics); Random variable; Geometry; Mathematical analysis; Statistics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005369077,0.0001705984,0.0004107736,0.0002386831,0.0002141532,0.00002658068,0.0007299373,0.00007319959,0.00004462077],"category_scores_gemma":[0.001651561,0.0001175744,0.000147896,0.0006330927,0.00009042723,0.0001709243,0.00009230113,0.001374761,0.00001266472],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004565134,"about_ca_system_score_gemma":0.000445224,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003470265,"about_ca_topic_score_gemma":0.00001019673,"domain_scores_codex":[0.9968513,0.0006141432,0.000863366,0.0001136007,0.0007768034,0.000780748],"domain_scores_gemma":[0.9968157,0.002065897,0.0004915509,0.000316976,0.0002360599,0.00007380779],"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":[0.0004994115,0.0004825389,0.004104834,0.00003342136,0.0001520405,0.0001151783,0.002002882,0.0003808617,0.0007326028,0.9901525,0.0009753781,0.0003683205],"study_design_scores_gemma":[0.004971112,0.0005366512,0.0001837618,0.00004084071,0.00002771843,0.0003231937,0.0001883766,0.002345097,0.0006451508,0.9900309,0.0005651352,0.0001420853],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9898615,0.001466445,0.007285843,0.0002783086,0.000213004,0.0002176395,5.589833e-7,0.00001371091,0.0006629364],"genre_scores_gemma":[0.9984974,0.000665594,0.0001476696,0.00004969544,0.0001424136,0.000006533383,5.936607e-7,0.00003521295,0.0004548624],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008635872,"threshold_uncertainty_score":0.5972729,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04222936675120342,"score_gpt":0.307844554762813,"score_spread":0.2656151880116096,"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."}}