{"id":"W2087893738","doi":"10.1016/s0012-365x(01)00257-6","title":"Stirling numbers interpolation using permutations with forbidden subsequences","year":2002,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Combinatorics; Stirling numbers of the first kind; Interpolation (computer graphics); Stirling number; Stirling numbers of the second kind; Discrete mathematics; Artificial intelligence; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002781482,0.0003822425,0.0005034472,0.0001503102,0.0002876738,0.0001431616,0.0003569014,0.0001194098,0.0004161096],"category_scores_gemma":[0.0008340932,0.0003101958,0.0001246637,0.0004546205,0.0001662969,0.0005113462,0.00008151456,0.0002530992,0.00008217634],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000137584,"about_ca_system_score_gemma":0.00002852412,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009387872,"about_ca_topic_score_gemma":0.00002088084,"domain_scores_codex":[0.9978222,0.00005567055,0.0007098812,0.0003355492,0.00061661,0.0004600832],"domain_scores_gemma":[0.9976198,0.0007183577,0.0007054562,0.0006235068,0.000193449,0.0001394521],"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":[0.0000149714,0.0004029134,0.0002211222,0.0008942321,0.0002029616,0.00003618729,0.02255434,0.000543631,0.002005404,0.972409,0.000351954,0.0003633489],"study_design_scores_gemma":[0.0005856588,0.0001014062,0.000004397902,0.0005435025,0.0002306004,0.0001275803,0.006331197,0.2003634,0.00071256,0.7903976,0.00006855978,0.0005334816],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3685034,0.00006055324,0.6125412,0.0001128133,0.0002332772,0.0007537295,0.00001814202,0.0003728684,0.01740403],"genre_scores_gemma":[0.6026757,0.000006726187,0.3965829,0.00001644458,0.00008581147,0.00003296687,0.000004920777,0.00008844935,0.0005061529],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.2341723,"threshold_uncertainty_score":0.999935,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09971105842266578,"score_gpt":0.3382802443469355,"score_spread":0.2385691859242697,"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."}}