{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002595701,0.0002488545,0.0004682864,0.0001611744,0.000310497,0.00005394743,0.0006719714,0.0001287134,0.00001243014],"category_scores_gemma":[0.001201515,0.0001769757,0.0002204105,0.000660285,0.00007408558,0.0003211063,0.0000787211,0.001474045,0.00001256474],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008907385,"about_ca_system_score_gemma":0.000295304,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000370972,"about_ca_topic_score_gemma":0.000004011234,"domain_scores_codex":[0.9971494,0.0003151982,0.0009778267,0.0001382895,0.0007554038,0.0006638735],"domain_scores_gemma":[0.9960362,0.00171516,0.001358035,0.0004584059,0.0003690711,0.00006308811],"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":[0.00005105327,0.0002084608,0.0000583526,0.00002437943,0.00006217552,0.000007843226,0.0004054966,0.00007095733,0.0005504735,0.9975563,0.0008864328,0.0001181029],"study_design_scores_gemma":[0.001067531,0.0003456097,0.00005160876,0.00007940252,0.0001439924,0.0002026847,0.0002354066,0.0001237463,0.002137926,0.9931664,0.002261091,0.0001846259],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7719068,0.002383007,0.215011,0.001042657,0.001792003,0.0004305578,8.099669e-7,0.0001172553,0.007315886],"genre_scores_gemma":[0.9978256,0.0001423755,0.0005348683,0.00002266131,0.0004369072,0.000005493549,6.528734e-7,0.00006037799,0.0009711096],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2259188,"threshold_uncertainty_score":0.721686,"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."}}