{"id":"W1556817639","doi":"10.37236/1885","title":"Words Avoiding a Reflexive Acyclic Relation","year":2006,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Combinatorics; Generating function; Diagonal; Interpretation (philosophy); Series (stratigraphy); Geometry","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":[0.001057205,0.0006235784,0.0004090343,0.00150428,0.002005854,0.002924634,0.0009020164,0.0007105526,0.01232034],"category_scores_gemma":[0.00342895,0.0005018151,0.0007970238,0.001294096,0.002317796,0.004133827,0.001492796,0.00108069,0.002457798],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001739676,"about_ca_system_score_gemma":0.0007042824,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002206706,"about_ca_topic_score_gemma":0.003094129,"domain_scores_codex":[0.9984938,0.0003891414,0.0001325527,0.0003748245,0.000288095,0.0003215271],"domain_scores_gemma":[0.9978555,0.001115218,0.0002473458,0.0003067938,0.0003403449,0.000134868],"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":[0.00002702383,0.00001160843,0.0002183321,0.00002442362,0.000004168549,0.0001083802,0.0003040187,0.0003904811,0.0008792745,0.9908552,0.001133578,0.006043488],"study_design_scores_gemma":[0.00002061634,0.00003071597,0.0002561656,0.00003187192,0.00002225377,0.0002584341,0.0002216512,0.005504068,0.002429178,0.9673322,0.02386838,0.00002452628],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4202805,0.0009108974,0.2511362,0.001212759,0.0003364818,0.0001633316,0.00118952,0.002513289,0.3222571],"genre_scores_gemma":[0.9066315,0.0003491507,0.03964529,0.0004478612,0.0002275262,0.000151602,0.0008450435,0.0004819243,0.0512201],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01232034,"threshold_uncertainty_score":0.04121566,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02003145109778092,"score_gpt":0.3034743569968542,"score_spread":0.2834429058990732,"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."}}