{"id":"W2400791485","doi":"","title":"Combinatorial identities for the r-Lah numbers.","year":2014,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics","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":[0.0008273658,0.0005517309,0.0004225496,0.002461229,0.001438983,0.003087454,0.000681325,0.000822658,0.01581765],"category_scores_gemma":[0.002742943,0.0002443469,0.0005693001,0.001037249,0.002414557,0.004189916,0.001785041,0.002381028,0.00597207],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001187881,"about_ca_system_score_gemma":0.0006280386,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007472414,"about_ca_topic_score_gemma":0.0009312716,"domain_scores_codex":[0.9992869,0.0001868296,0.00003755096,0.0001115407,0.000295515,0.00008162438],"domain_scores_gemma":[0.9991558,0.0002806071,0.0001161098,0.000122864,0.0002130365,0.0001116064],"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":[0.00000313704,0.00000408655,0.00003754125,0.00001283158,0.000001078177,0.00001699548,0.00005053134,0.0000679416,0.0001642597,0.9943995,0.002052427,0.00318983],"study_design_scores_gemma":[0.000005180439,0.000006345354,0.0001547577,0.00001409083,0.00000275377,0.00009705865,0.00003994006,0.0008648557,0.0001958234,0.9834457,0.01516518,0.000008268022],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.05602935,0.005838756,0.1405552,0.004729834,0.002331239,0.0000624633,0.0007799306,0.0004018304,0.7892714],"genre_scores_gemma":[0.7898818,0.0040411,0.0586397,0.002174294,0.002685188,0.0001925133,0.0007561781,0.0002498497,0.1413793],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01581765,"threshold_uncertainty_score":0.05291528,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03140546624614378,"score_gpt":0.3116381601980812,"score_spread":0.2802326939519375,"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."}}