{"id":"W1519107695","doi":"10.37236/436","title":"A Theory of Transformation Monoids: Combinatorics and Representation Theory","year":2010,"lang":"en","type":"preprint","venue":"The Electronic Journal of Combinatorics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monoid; Mathematics; Transformation (genetics); Discrete mathematics; Pure mathematics; Combinatorics; Algebra over a field","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0009653658,0.0005112345,0.00059665,0.001791746,0.00195015,0.004067552,0.001086256,0.001150454,0.007703808],"category_scores_gemma":[0.001833185,0.0003875055,0.001127379,0.001851401,0.004928835,0.007164389,0.00218922,0.002126326,0.001142102],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001824661,"about_ca_system_score_gemma":0.0009854988,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009253849,"about_ca_topic_score_gemma":0.0006000332,"domain_scores_codex":[0.9990999,0.000241423,0.00006224208,0.0002206021,0.0002598396,0.0001160157],"domain_scores_gemma":[0.9987367,0.0006019402,0.0001300267,0.0002242469,0.000172042,0.0001351128],"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":[0.00000291067,0.000003978172,0.00004831196,0.00001703258,0.000001803437,0.00002225524,0.00009132204,0.0002879835,0.0001798326,0.9967234,0.0002610828,0.002360229],"study_design_scores_gemma":[0.000004775791,0.00001075181,0.00007111013,0.00001485752,0.000003876276,0.0001014744,0.0000487067,0.002409178,0.0002598562,0.9849908,0.01207919,0.000005353005],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07386525,0.006965376,0.805877,0.003913162,0.0006476251,0.0001275063,0.0006101795,0.0004429745,0.1075509],"genre_scores_gemma":[0.7965623,0.00414006,0.1497532,0.0009958153,0.001187423,0.0003845839,0.0007210089,0.0001837993,0.04607175],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007703808,"threshold_uncertainty_score":0.0257718,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01046077140140217,"score_gpt":0.2441675066046144,"score_spread":0.2337067352032122,"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."}}