{"id":"W2296004905","doi":"10.37236/6003","title":"A Ternary Square-free Sequence Avoiding Factors Equivalent to $abcacba$","year":2016,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Winnipeg","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ternary operation; Square-free integer; Lexicographical order; Square (algebra); Mathematics; Combinatorics; Word (group theory); Sequence (biology); Arithmetic; Discrete mathematics; Computer science; Geometry; Chemistry","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":[0.0002917951,0.0005401444,0.0005182119,0.0005481098,0.001558473,0.001827185,0.0004306137,0.0009437438,0.01604664],"category_scores_gemma":[0.00222644,0.0002870103,0.0007557765,0.0005635843,0.001574581,0.002022204,0.0009762992,0.001210846,0.003220727],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000542131,"about_ca_system_score_gemma":0.0008316324,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001415333,"about_ca_topic_score_gemma":0.001102958,"domain_scores_codex":[0.9992604,0.00007375647,0.0000608396,0.0002870201,0.0001715661,0.0001464719],"domain_scores_gemma":[0.998746,0.0004457344,0.0001486357,0.0002048158,0.0002997085,0.0001551249],"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":[0.0004176053,0.00007202147,0.001137792,0.0002890711,0.00002469772,0.0008260307,0.0009806335,0.002305859,0.02767346,0.9192714,0.005739725,0.04126171],"study_design_scores_gemma":[0.0000547949,0.0001625538,0.0009641245,0.0000739855,0.00004946994,0.001384327,0.0004157276,0.01270154,0.01938274,0.9083033,0.05644308,0.00006431093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5408065,0.0009481771,0.3385421,0.001317182,0.001277532,0.0001315886,0.0007367866,0.001047314,0.1151927],"genre_scores_gemma":[0.8973362,0.0003485225,0.06337519,0.0005318107,0.0002621666,0.0001122475,0.0006986664,0.0003844243,0.0369507],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01604664,"threshold_uncertainty_score":0.05368137,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01972710738274241,"score_gpt":0.2509052272474111,"score_spread":0.2311781198646687,"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."}}