{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003686821,0.0001217851,0.0004164263,0.0002430942,0.00004970908,0.000003678392,0.00007471396,0.00004014541,0.00006830492],"category_scores_gemma":[0.001389172,0.0001003641,0.00004205001,0.0003901938,0.0001173199,0.0001427044,0.00007606672,0.00007639335,0.000002425927],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001512135,"about_ca_system_score_gemma":0.00002891095,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003458346,"about_ca_topic_score_gemma":0.00001722225,"domain_scores_codex":[0.9986957,0.00006922773,0.0006542967,0.0001499414,0.0002851581,0.0001456576],"domain_scores_gemma":[0.9982689,0.00116441,0.0002217896,0.0002179579,0.00009329362,0.00003367112],"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":[0.0001100487,0.008311121,0.03182172,0.003496622,0.0003290511,0.00004246024,0.4255812,0.00001161911,0.000131265,0.5296171,0.0001690829,0.0003787329],"study_design_scores_gemma":[0.002971245,0.001252122,0.05750166,0.0005451029,0.0001743597,0.00007908909,0.1483741,0.001054515,0.000610763,0.7870907,0.000004749312,0.0003415979],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9948945,0.0001175837,0.000829354,0.00001778462,0.00001285233,0.0004403114,0.00003084817,0.00001369051,0.003643087],"genre_scores_gemma":[0.995867,0.00001213312,0.003748389,0.000002161406,0.000004072113,0.00003823363,0.000001643525,0.00001125044,0.000315104],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.277207,"threshold_uncertainty_score":0.409273,"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."}}