{"id":"W2919485004","doi":"","title":"Log-concavity of principal diagonal rays in the regular Lah triangles.","year":2018,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Diagonal; Principal (computer security); Combinatorics; Geometry; Computer science","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":[0.0002685909,0.0002373889,0.0003547196,0.000849899,0.0008682176,0.001841646,0.0005448948,0.0004823065,0.01662868],"category_scores_gemma":[0.0032273,0.0003089973,0.0002622476,0.0004904271,0.001619256,0.00158766,0.001017151,0.001565696,0.002294085],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005007352,"about_ca_system_score_gemma":0.0003642651,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001643783,"about_ca_topic_score_gemma":0.002108508,"domain_scores_codex":[0.9996936,0.00007444516,0.000009100173,0.00006002398,0.00009279273,0.00007006854],"domain_scores_gemma":[0.9988023,0.0004957498,0.000160028,0.000125844,0.0002551788,0.0001609494],"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":[0.0001620778,0.00003194361,0.001582663,0.00006886009,0.0000074673,0.0001650258,0.0002528974,0.001750424,0.002412348,0.9725271,0.006293158,0.01474614],"study_design_scores_gemma":[0.00004492951,0.00003602347,0.002054701,0.00003222739,0.000008995935,0.0003979599,0.0004543226,0.01629049,0.001865544,0.968864,0.009934979,0.00001570097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5970444,0.0007762369,0.1134904,0.001906683,0.0002873403,0.00006881361,0.001165845,0.0004750155,0.2847853],"genre_scores_gemma":[0.9475917,0.0002965486,0.01422324,0.0003037416,0.0001699516,0.00005429368,0.000598427,0.0001750897,0.0365868],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01662868,"threshold_uncertainty_score":0.05562848,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04882917732640028,"score_gpt":0.3202622407718201,"score_spread":0.2714330634454198,"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."}}