{"id":"W2770859862","doi":"10.37236/1671","title":"There Are Ternary Circular Square-Free Words of Length $n$ for $n\\ge 18$","year":2002,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":78,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Winnipeg","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Ternary operation; Combinatorics; Square (algebra); Geometry; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002303916,0.0005082887,0.0004251123,0.0004153584,0.001568767,0.001213297,0.000463633,0.0009999493,0.01336825],"category_scores_gemma":[0.001621733,0.0003767348,0.0006194714,0.0005123695,0.001356618,0.002251999,0.001558387,0.0006881564,0.002731197],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005168855,"about_ca_system_score_gemma":0.0006109387,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000752075,"about_ca_topic_score_gemma":0.001725741,"domain_scores_codex":[0.9997169,0.00003067185,0.00002247781,0.0000877393,0.00005506668,0.00008706671],"domain_scores_gemma":[0.9984452,0.0006713889,0.0003567215,0.0001435664,0.0001902382,0.0001929841],"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":[0.003747862,0.0003183456,0.02279878,0.00128172,0.0001234913,0.00549442,0.006135843,0.003039332,0.19645,0.5641672,0.0171779,0.1792652],"study_design_scores_gemma":[0.0001910267,0.0004031962,0.02166258,0.0002945458,0.0001679759,0.005351512,0.005146491,0.006263485,0.1165085,0.7081625,0.1355928,0.000255419],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8800553,0.001485838,0.03744588,0.001707979,0.0004001004,0.00005057637,0.000973698,0.0005620379,0.07731848],"genre_scores_gemma":[0.94451,0.00049542,0.03007493,0.0004629964,0.00007880626,0.0001191295,0.0009581378,0.0001268761,0.02317368],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01336825,"threshold_uncertainty_score":0.04472125,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01556969058956936,"score_gpt":0.2225624394145583,"score_spread":0.206992748824989,"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."}}