{"id":"W1967306786","doi":"10.1016/j.tcs.2005.01.007","title":"Generalised fine and Wilf's theorem for arbitrary number of periods","year":2005,"lang":"en","type":"article","venue":"Theoretical Computer Science","topic":"semigroups and automata theory","field":"Computer Science","cited_by":23,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Word (group theory); Divisor (algebraic geometry); Combinatorics; Upper and lower bounds; Word length; Greatest common divisor; Discrete mathematics; Computer science; Geometry","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":[0.001916892,0.001020293,0.002112021,0.002327378,0.00240793,0.003152816,0.001928234,0.002249931,0.01173067],"category_scores_gemma":[0.007962612,0.0009880748,0.00257312,0.001716439,0.004581902,0.01253298,0.003936532,0.004319566,0.001510248],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001784696,"about_ca_system_score_gemma":0.0006904174,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001037359,"about_ca_topic_score_gemma":0.0008355464,"domain_scores_codex":[0.9987112,0.0001898718,0.00007293269,0.000449417,0.0002957813,0.0002807199],"domain_scores_gemma":[0.996581,0.001768314,0.0001598728,0.0009052092,0.0003204317,0.0002651635],"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":[0.00005663284,0.00001193907,0.0001338963,0.00007605962,0.00001604293,0.00009405879,0.0002096072,0.0009639908,0.0009327864,0.987525,0.002337254,0.007642733],"study_design_scores_gemma":[0.00001331481,0.00000727386,0.0001326004,0.000008663241,0.00001071741,0.00008645467,0.00002201018,0.002018127,0.000413544,0.9929289,0.004343899,0.0000145094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1233654,0.004839568,0.6773621,0.005463757,0.001428443,0.0001258743,0.0007660252,0.001276429,0.1853724],"genre_scores_gemma":[0.8465942,0.002162673,0.0631199,0.001630186,0.001374126,0.0002238525,0.0004190067,0.0006411099,0.08383492],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01173067,"threshold_uncertainty_score":0.03924298,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008713460936695415,"score_gpt":0.2560940063632766,"score_spread":0.2473805454265811,"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."}}