{"id":"W92501153","doi":"10.37236/12156","title":"Computation in Coxeter Groups—I. Multiplication","year":2002,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Coxeter group; Mathematics; Coxeter element; Artin group; Coxeter complex; Multiplication (music); Computation; Mathematical proof; Reflection (computer programming); Combinatorics; Algebra over a field; Algorithm; Pure mathematics; Computer science; Geometry; Programming language","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":[0.0009927595,0.00008961975,0.0001454924,0.0001273682,0.00006799239,0.00006506856,0.0008248604,0.00003885228,0.00000591629],"category_scores_gemma":[0.00004096466,0.00006310579,0.00006388527,0.0005072108,0.00002632384,0.0003937869,0.00006002638,0.0004059226,0.00001713063],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002257285,"about_ca_system_score_gemma":0.0000434202,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002706036,"about_ca_topic_score_gemma":0.000001576395,"domain_scores_codex":[0.9988133,0.0001452419,0.0003457782,0.00009987247,0.000284805,0.0003110239],"domain_scores_gemma":[0.9991208,0.0002134074,0.0002955516,0.0002301265,0.0001036746,0.00003638172],"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":[0.00000605815,0.0001649713,0.0002351456,0.000003681932,0.00001454919,0.000006848316,0.0009396754,0.0004815994,0.0002756271,0.9823114,0.0004173866,0.01514308],"study_design_scores_gemma":[0.0009887037,0.0002812904,0.001973524,0.0000199323,0.000007687877,0.0001943125,0.00005333373,0.1881907,0.0004678133,0.8067513,0.0009577366,0.0001136715],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.346289,0.002764577,0.6470914,0.002717709,0.0004251811,0.000116123,1.257696e-7,0.00003547013,0.0005603702],"genre_scores_gemma":[0.9992648,0.0002964177,0.0001717762,0.0001619077,0.00004419564,0.000001992203,2.135072e-7,0.000006746329,0.00005195311],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6529759,"threshold_uncertainty_score":0.257338,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01028097498087069,"score_gpt":0.2194373877098381,"score_spread":0.2091564127289675,"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."}}