{"id":"W2076959711","doi":"10.1016/j.tcs.2010.07.005","title":"Equations on palindromes and circular words","year":2010,"lang":"en","type":"article","venue":"Theoretical Computer Science","topic":"semigroups and automata theory","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Polyomino; Bijection; Mathematics; Palindrome; Translation (biology); Combinatorics; Boundary (topology); Pure mathematics; Plane (geometry); Discrete mathematics; Geometry; Mathematical analysis","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":[0.001024451,0.0006253193,0.0007935185,0.001147064,0.001546347,0.002702526,0.001109298,0.00139113,0.01278397],"category_scores_gemma":[0.00462068,0.0007143973,0.001356793,0.001278637,0.002705155,0.007606017,0.002372315,0.002514708,0.001571364],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00146985,"about_ca_system_score_gemma":0.0007046437,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001575931,"about_ca_topic_score_gemma":0.00146608,"domain_scores_codex":[0.999042,0.0002231168,0.0001251334,0.0002279613,0.0002077846,0.0001739186],"domain_scores_gemma":[0.9972129,0.001766411,0.0002469161,0.0002465048,0.0003738947,0.0001533247],"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":[0.00001624095,0.000009843073,0.0001144409,0.00002101518,0.000002843605,0.00007190266,0.0002918929,0.000438181,0.0004540503,0.995585,0.0007467117,0.002247891],"study_design_scores_gemma":[0.00002011611,0.000009127052,0.00007967315,0.000006421873,0.000005350983,0.00007600638,0.00007446217,0.002880246,0.0004590423,0.9935752,0.002803445,0.00001089887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3784372,0.0017596,0.4749454,0.004841624,0.001097603,0.0001987524,0.001029494,0.0005285572,0.1371618],"genre_scores_gemma":[0.8776619,0.0008561436,0.05700607,0.0008304892,0.0006368855,0.0001990039,0.0006671161,0.0002602066,0.06188204],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01278397,"threshold_uncertainty_score":0.04276663,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008528305360565884,"score_gpt":0.2413107968957975,"score_spread":0.2327824915352316,"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."}}