{"id":"W2117973853","doi":"10.37236/951","title":"A Characterization of Balanced Episturmian Sequences","year":2007,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Aperiodic graph; Alphabet; Generalization; Mathematics; Conjecture; Combinatorics; Characterization (materials science); Set (abstract data type); Discrete mathematics; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023116,0.00008392768,0.0001834039,0.00009643068,0.0000667537,0.00003122505,0.001061855,0.00003793326,0.000002854823],"category_scores_gemma":[0.0000456294,0.00005435609,0.00007568485,0.0005038321,0.00005121766,0.0003131793,0.00005526996,0.0002804298,0.000001744724],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001179739,"about_ca_system_score_gemma":0.0002333801,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002727908,"about_ca_topic_score_gemma":0.000001251464,"domain_scores_codex":[0.9987764,0.00007811707,0.0004000563,0.00007549116,0.0003389647,0.0003309397],"domain_scores_gemma":[0.9987713,0.0001484537,0.000600258,0.000249435,0.0001871946,0.00004341269],"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":[0.00001563576,0.00003951416,0.0001768739,0.00000539436,0.00002451793,0.000006093691,0.0004751417,0.00000388697,0.06167,0.9341195,0.00001108983,0.003452344],"study_design_scores_gemma":[0.0005408857,0.0005808389,0.006512554,0.00004393355,0.00001799512,0.0002725091,0.0000937779,0.0007464217,0.1226913,0.8670471,0.001328867,0.0001238012],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5950762,0.0004479365,0.4033513,0.0004907775,0.0003548906,0.00004127957,2.065933e-7,0.00001316928,0.0002242373],"genre_scores_gemma":[0.9994723,0.0002333351,0.00007142794,0.00009192684,0.00006166884,3.321599e-7,3.776327e-7,0.000005156813,0.00006342582],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4043961,"threshold_uncertainty_score":0.2216577,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005130220948648043,"score_gpt":0.2202609696926861,"score_spread":0.2151307487440381,"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."}}