{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001135553,0.0008787614,0.0008275282,0.00117881,0.001457389,0.003874143,0.00164247,0.0008577213,0.01407339],"category_scores_gemma":[0.003347094,0.0005463267,0.001138437,0.001581761,0.003263985,0.008329639,0.002859687,0.001724813,0.003596317],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001216204,"about_ca_system_score_gemma":0.0007012609,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005764681,"about_ca_topic_score_gemma":0.0004900292,"domain_scores_codex":[0.9988744,0.0002758333,0.00008453341,0.0002855145,0.0003224368,0.0001572243],"domain_scores_gemma":[0.9990487,0.0004301776,0.00007478874,0.0002679054,0.0001063313,0.0000721491],"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":[0.0001689692,0.00005054627,0.0005826122,0.0002045297,0.0000216685,0.0001296344,0.0003820162,0.003113408,0.003263155,0.9018604,0.005662018,0.08456104],"study_design_scores_gemma":[0.00003747059,0.00007815368,0.0002109928,0.00004110503,0.00001566446,0.0002398148,0.0001363764,0.01279499,0.005980139,0.9580066,0.02242611,0.00003255585],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06709658,0.001999823,0.8677091,0.001135426,0.0004906154,0.0001566893,0.0002651639,0.001894567,0.05925203],"genre_scores_gemma":[0.5658866,0.001375474,0.4056084,0.0003098575,0.000504254,0.0002349309,0.000622784,0.0006609713,0.0247967],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01407339,"threshold_uncertainty_score":0.04708022,"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."}}