{"id":"W219581828","doi":"","title":"A study of total relative Displacements of permutations in paths and cycles","year":2008,"lang":"en","type":"article","venue":"Utilitas Mathematica","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Statistics","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":[0.002553483,0.0009809143,0.001129549,0.002553238,0.001766141,0.002549621,0.002403097,0.001286841,0.01047341],"category_scores_gemma":[0.0105996,0.0006178419,0.001328489,0.003734749,0.004773625,0.007147315,0.002616755,0.002777217,0.0004152295],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001772705,"about_ca_system_score_gemma":0.0009653359,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002192617,"about_ca_topic_score_gemma":0.001904824,"domain_scores_codex":[0.9990194,0.0003577598,0.00005354294,0.0001982218,0.0002341974,0.0001368065],"domain_scores_gemma":[0.9938426,0.004300357,0.0006150031,0.0004592839,0.0004206811,0.0003620841],"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":[0.00001401134,0.000005044866,0.0001520971,0.00002172981,0.000005239401,0.00001610923,0.0001421249,0.004430734,0.0002779739,0.9924436,0.0001272492,0.002363971],"study_design_scores_gemma":[0.00000776765,0.00004240869,0.0002388707,0.00001567024,0.00001220579,0.0000402467,0.0001623776,0.01988039,0.0003486258,0.9775378,0.001704682,0.000008897911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5187621,0.002448273,0.4303179,0.001586662,0.000185494,0.00005899004,0.0002287356,0.00008958182,0.04632221],"genre_scores_gemma":[0.9223316,0.001886059,0.05082079,0.0001913568,0.0002148561,0.0001229892,0.0002106122,0.0001111843,0.02411055],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01047341,"threshold_uncertainty_score":0.03503704,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09138336481651767,"score_gpt":0.3513250673472211,"score_spread":0.2599417025307034,"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."}}