{"id":"W239667665","doi":"","title":"Combinatorics of geometrically distributed random variables: Words and permutations avoiding two or three adjacent patterns.","year":2004,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"DNA and Biological Computing","field":"Biochemistry, Genetics and Molecular Biology","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Discrete mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003824458,0.0001969083,0.0002935677,0.00006760536,0.0001774231,0.00003724998,0.0002243315,0.0001529195,0.00001175384],"category_scores_gemma":[0.0005675493,0.0001525848,0.00008509006,0.000420757,0.00009141124,0.000006794165,0.0002393397,0.0001725387,0.000001826857],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003866987,"about_ca_system_score_gemma":0.00008266005,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005617686,"about_ca_topic_score_gemma":0.00001624607,"domain_scores_codex":[0.9987203,0.00008411313,0.0003552176,0.0003638274,0.0001756216,0.0003008441],"domain_scores_gemma":[0.9991798,0.000141541,0.0001551443,0.0002494273,0.0001480128,0.0001260916],"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":[0.001496991,0.002239193,0.228414,0.0003031995,0.0006176234,0.00008374105,0.000401259,0.001657742,0.1766431,0.581005,0.0003063122,0.006831909],"study_design_scores_gemma":[0.04827691,0.005479266,0.07195804,0.0004353985,0.0003375135,0.0001307437,0.0008748312,0.000981584,0.1414519,0.7251276,0.002954261,0.001991932],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9800346,0.0005590629,0.01836744,0.00008416657,0.0004500899,0.0002351379,0.00004748038,0.00002600497,0.0001960212],"genre_scores_gemma":[0.999247,0.0001678242,0.0002711905,0.00006691067,0.00002072259,0.00001292088,0.0001757076,0.0000156233,0.00002213964],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1564559,"threshold_uncertainty_score":0.6222229,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01468304978314931,"score_gpt":0.2530496073354097,"score_spread":0.2383665575522604,"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."}}