{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001010367,0.0001099481,0.0002339353,0.00004602359,0.00007624203,0.00001834025,0.0004158351,0.0000744822,0.00008480781],"category_scores_gemma":[0.0003844955,0.00007919781,0.00007346053,0.0002680472,0.0001609513,0.0000404305,0.00007443957,0.0001289268,0.00003359038],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002574802,"about_ca_system_score_gemma":0.00004363282,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002118833,"about_ca_topic_score_gemma":0.00003388591,"domain_scores_codex":[0.9989369,0.00009343175,0.0003679338,0.0001541171,0.0002655483,0.0001820544],"domain_scores_gemma":[0.998498,0.0005778697,0.0001791052,0.0006113137,0.00009733434,0.00003643071],"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":[0.00000704591,0.0003933662,0.0008049262,0.00004389653,0.00001218146,0.000001611786,0.001271153,9.357737e-8,0.0002821533,0.9877729,0.009246947,0.0001637488],"study_design_scores_gemma":[0.0007610704,0.00006760519,0.001720203,0.00003125085,0.00002206696,0.000003668681,0.0001578088,0.0001559729,0.00227145,0.9896218,0.005091921,0.000095145],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9897172,0.00002255373,0.0001352917,0.0004054266,0.0001929561,0.0004407399,0.000008801611,0.00002468484,0.009052305],"genre_scores_gemma":[0.9975455,0.000003924214,0.002096801,0.00005717265,0.00002541115,0.00007107938,0.000003107565,0.00001412449,0.0001828384],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008869466,"threshold_uncertainty_score":0.3229593,"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."}}