{"id":"W2019168264","doi":"10.1016/j.dam.2011.10.029","title":"Sturmian graphs and integer representations over numeration systems","year":2011,"lang":"en","type":"article","venue":"Discrete Applied Mathematics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Continued fraction; Graph; Integer (computer science); Discrete mathematics; Fraction (chemistry); Natural number; Combinatorics; Representation (politics); Path (computing); Arithmetic","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":[0.0008170238,0.0006538265,0.0008203392,0.002141535,0.001961429,0.004396064,0.0009625674,0.001617625,0.009911606],"category_scores_gemma":[0.003154544,0.000511754,0.000967809,0.002346377,0.003680762,0.00611678,0.001700884,0.002379329,0.0009242575],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001284092,"about_ca_system_score_gemma":0.0004570466,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000819922,"about_ca_topic_score_gemma":0.0008957282,"domain_scores_codex":[0.9992251,0.0002589986,0.00005559127,0.0001653005,0.0001639966,0.0001308615],"domain_scores_gemma":[0.9983089,0.0009541548,0.0002338298,0.0002075193,0.0001663,0.0001292977],"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":[0.000009616638,0.000005051987,0.00003818526,0.00001104001,0.000001658244,0.00002559491,0.0001599942,0.0003725658,0.0001733599,0.9970589,0.0002596407,0.00188444],"study_design_scores_gemma":[0.000005316524,0.000004380266,0.00003795675,0.000005729465,0.000003220787,0.00003078631,0.00004973121,0.001509519,0.0001293282,0.9969156,0.001302341,0.000006044865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4347773,0.002593914,0.3859304,0.004336074,0.001069046,0.0000878377,0.0005924665,0.0008611886,0.1697518],"genre_scores_gemma":[0.9465706,0.0006981899,0.03091005,0.0005270878,0.0004399959,0.00008310165,0.0002930841,0.0001553078,0.02032273],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009911606,"threshold_uncertainty_score":0.03315759,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02177389349940818,"score_gpt":0.2416317136085586,"score_spread":0.2198578201091505,"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."}}