{"id":"W4231319554","doi":"10.4153/cjm-2009-014-7","title":"Transitive Factorizations in the Hyperoctahedral Group","year":2008,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; University of Waterloo","keywords":"Transitive relation; Variety (cybernetics); Mathematics; Cover (algebra); Group (periodic table); Algebra over a field; Mathematics education; Pure mathematics; Combinatorics; Statistics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":true,"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":[0.0008825357,0.0003911445,0.0006494252,0.001283861,0.002640173,0.003313457,0.0005189575,0.0006471867,0.009194963],"category_scores_gemma":[0.001679324,0.0003087914,0.0006780954,0.001108209,0.003832873,0.003398694,0.001968202,0.001264517,0.00147445],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001559552,"about_ca_system_score_gemma":0.00115664,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005119584,"about_ca_topic_score_gemma":0.005672054,"domain_scores_codex":[0.9990823,0.0002050779,0.00007095675,0.0001169517,0.000273881,0.0002506703],"domain_scores_gemma":[0.9990158,0.0002648296,0.000186021,0.0001512356,0.0001742377,0.0002078679],"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":[0.00002622153,0.000008803206,0.00009501906,0.00001485362,0.000003580213,0.00006989529,0.0003542576,0.0002879047,0.0003249325,0.9939318,0.001075572,0.003807267],"study_design_scores_gemma":[0.00001986464,0.00002056908,0.0001622105,0.00001460678,0.000005621811,0.00009394228,0.0002826544,0.001137857,0.0003037623,0.988907,0.009038921,0.00001304668],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5391931,0.002074173,0.1200606,0.003397519,0.001203794,0.0002158037,0.0006929826,0.0004182479,0.3327437],"genre_scores_gemma":[0.9344813,0.0009384683,0.01961927,0.0003415223,0.0004320093,0.00009654163,0.0003567579,0.0000659103,0.04366819],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009194963,"threshold_uncertainty_score":0.03076023,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08965704452887485,"score_gpt":0.2805501869428232,"score_spread":0.1908931424139483,"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."}}