{"id":"W2101596584","doi":"10.1051/ita:2008006","title":"Least Periods of Factors of Infinite Words","year":2008,"lang":"en","type":"article","venue":"RAIRO - Theoretical Informatics and Applications","topic":"semigroups and automata theory","field":"Computer Science","cited_by":51,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Winnipeg","funders":"","keywords":"Fibonacci number; Word (group theory); Mathematics; Mathematical proof; Set (abstract data type); Integer (computer science); Combinatorics; Product (mathematics); Factor (programming language); Infinite set; Discrete mathematics; Arithmetic; Computer science","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":[0.0006260012,0.0005162359,0.0006253437,0.001316935,0.0009573108,0.00241685,0.000473267,0.0004399002,0.005083234],"category_scores_gemma":[0.003257075,0.000451721,0.0007520384,0.000798945,0.001534783,0.002997166,0.001138454,0.0009830362,0.0007645783],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006886297,"about_ca_system_score_gemma":0.0003223305,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003186757,"about_ca_topic_score_gemma":0.0003688649,"domain_scores_codex":[0.9993806,0.00009605449,0.00006109742,0.0001848596,0.0001430345,0.0001342897],"domain_scores_gemma":[0.9982166,0.0009511867,0.0003119568,0.0001737346,0.0001807892,0.0001657107],"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":[0.0002340312,0.00002942821,0.002084347,0.0001845473,0.00003244273,0.0003775136,0.000778665,0.003072043,0.02050671,0.949335,0.001433463,0.02193183],"study_design_scores_gemma":[0.00004087876,0.000137724,0.00298807,0.00007442152,0.00005485348,0.000976684,0.0003485676,0.0146705,0.01471398,0.9500974,0.01583239,0.0000645618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.722352,0.002141586,0.2068767,0.0004928974,0.0002255098,0.00005991009,0.0007555429,0.0006083836,0.06648745],"genre_scores_gemma":[0.9667641,0.0005142582,0.02676444,0.0001063181,0.0002662794,0.000086144,0.0003496777,0.0001470267,0.005001675],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005083234,"threshold_uncertainty_score":0.01700509,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01167135948446676,"score_gpt":0.2300102654376719,"score_spread":0.2183389059532051,"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."}}