{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009863545,0.0005401964,0.0006248135,0.00319025,0.0009633142,0.001769097,0.001298212,0.0007999136,0.006811911],"category_scores_gemma":[0.007741898,0.0003014926,0.000581961,0.001730053,0.002586819,0.003343785,0.001489186,0.001196226,0.001158552],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001555825,"about_ca_system_score_gemma":0.0006178278,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009608512,"about_ca_topic_score_gemma":0.0004820174,"domain_scores_codex":[0.9994599,0.00008689793,0.0000224151,0.0001361475,0.0001770413,0.0001175621],"domain_scores_gemma":[0.9975091,0.001441965,0.0002538415,0.0002510501,0.0003590001,0.0001850164],"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":[0.00002991076,0.000008381095,0.001242876,0.000040259,0.000006232977,0.00005202434,0.0002346788,0.003140837,0.001154541,0.9773637,0.001134559,0.01559198],"study_design_scores_gemma":[0.00001685093,0.00003328151,0.0008727576,0.00002976038,0.000007833069,0.0001402042,0.000096602,0.03258669,0.001992743,0.9593604,0.004833526,0.00002938411],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5641593,0.001189108,0.3904543,0.001683912,0.0002073171,0.0001177692,0.0009241477,0.0006271228,0.04063713],"genre_scores_gemma":[0.9603305,0.001026793,0.0226316,0.0002148388,0.0002637884,0.0002433964,0.0008718298,0.0001963647,0.01422102],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006811911,"threshold_uncertainty_score":0.02278811,"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."}}