{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002331416,0.001258793,0.00124431,0.002871187,0.001564247,0.005558324,0.001725743,0.001762761,0.009206099],"category_scores_gemma":[0.01324794,0.0007054516,0.001206159,0.002474024,0.00507191,0.006204437,0.002197663,0.002462645,0.002624741],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001538101,"about_ca_system_score_gemma":0.001292447,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007125349,"about_ca_topic_score_gemma":0.001161487,"domain_scores_codex":[0.9970186,0.001365765,0.000193441,0.0004632511,0.0006561228,0.0003029089],"domain_scores_gemma":[0.9934373,0.003926124,0.0008696234,0.0008519994,0.0004336673,0.0004812546],"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":[0.00002304292,0.000009827659,0.0001529887,0.00004297911,0.00001021135,0.00007102288,0.00004595831,0.00252505,0.0002545718,0.9895682,0.002418058,0.004878218],"study_design_scores_gemma":[0.00001376956,0.00001423644,0.0001019724,0.00002280173,0.000009197246,0.0001610413,0.00003958813,0.0102782,0.0002453606,0.9829662,0.006133319,0.00001436911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09947855,0.0102862,0.7858223,0.007114059,0.001396749,0.0001975404,0.001972874,0.000877125,0.09285467],"genre_scores_gemma":[0.8174292,0.007395942,0.1144378,0.001934292,0.002305289,0.000751038,0.001735401,0.0004018235,0.05360929],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009206099,"threshold_uncertainty_score":0.03079742,"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."}}