{"id":"W1586008474","doi":"10.37236/4329","title":"The Generating Function for Total Displacement","year":2014,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Generating function; Permutation (music); Coxeter group; Statistic; Combinatorics; Displacement (psychology); Function (biology); Fraction (chemistry); Statistics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003724362,0.0001836129,0.0002968581,0.00003793292,0.0006292812,0.00008388604,0.000510963,0.0000613833,0.000002630195],"category_scores_gemma":[0.001995314,0.00009950709,0.0001959326,0.000186282,0.00005724576,0.0001214473,0.00006191964,0.0005266256,0.00000243899],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003547753,"about_ca_system_score_gemma":0.0001800255,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.730855e-7,"about_ca_topic_score_gemma":0.000002195465,"domain_scores_codex":[0.9979317,0.0001923818,0.0006844813,0.0001020138,0.0005133726,0.0005761088],"domain_scores_gemma":[0.9950272,0.003186803,0.0009006065,0.0003996389,0.0004265012,0.0000591851],"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":[0.0001026964,0.00008590081,0.000003914759,0.00002483775,0.0001027526,1.612354e-7,0.0001313647,0.0001461892,0.0003323363,0.9963462,0.001309659,0.001413958],"study_design_scores_gemma":[0.001185509,0.001196127,0.000003657466,0.00002546757,0.0001585156,0.00005270133,0.0001809483,0.003948846,0.0008385811,0.9795602,0.01273135,0.0001180769],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1138529,0.0009271702,0.8805344,0.001028694,0.0027527,0.0004814622,5.181889e-7,0.00003065724,0.0003915646],"genre_scores_gemma":[0.9978928,0.0000886515,0.0005782584,0.00004201412,0.0006025064,0.00002705197,3.937427e-7,0.0000435854,0.0007247594],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8840399,"threshold_uncertainty_score":0.4839986,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01428841154260317,"score_gpt":0.2843092561775513,"score_spread":0.2700208446349481,"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."}}