{"id":"W2808719341","doi":"10.1016/j.ejc.2018.05.009","title":"Factorial<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"mml1\" display=\"inline\" overflow=\"scroll\" altimg=\"si1.gif\"><mml:mi>Q</mml:mi></mml:math>-functions and Tokuyama identities for classical Lie groups","year":2018,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Wilfrid Laurier University","funders":"Nankai University; Natural Sciences and Engineering Research Council of Canada; Wilfrid Laurier University","keywords":"Factorial; Mathematics; Algebraic number; Lattice (music); Path (computing); Combinatorics; Factorial experiment; Pure mathematics; Mathematical analysis; Statistics; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000628888,0.0008583274,0.0007039178,0.00188488,0.001505884,0.003980296,0.001425411,0.001028357,0.4226789],"category_scores_gemma":[0.002447927,0.0005846058,0.0008159093,0.002051203,0.0009046519,0.005139919,0.002092726,0.002090237,0.2719443],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001466661,"about_ca_system_score_gemma":0.0008965211,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004219822,"about_ca_topic_score_gemma":0.006011668,"domain_scores_codex":[0.9995002,0.00009023996,0.00003564663,0.0001011444,0.0001981815,0.00007470162],"domain_scores_gemma":[0.9989614,0.0002675726,0.00005929429,0.0002378213,0.0003599992,0.0001138984],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001167881,0.00004652531,0.0003165426,0.000235384,0.00001009895,0.0001169609,0.0003689947,0.0003616834,0.003423765,0.2365972,0.7085556,0.04985048],"study_design_scores_gemma":[0.00003281171,0.00001538807,0.00068922,0.00005728273,0.00000741864,0.0001667039,0.0001208241,0.002018524,0.008064932,0.08035237,0.908428,0.00004651651],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.00517604,0.0003636184,0.1272421,0.003849215,0.00180533,0.0001601529,0.0349425,0.05268299,0.773778],"genre_scores_gemma":[0.07393161,0.0008075903,0.08138518,0.001965334,0.000739001,0.0003186989,0.05080291,0.07400547,0.7160442],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4226789,"threshold_uncertainty_score":0.8234785,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02894124166147603,"score_gpt":0.2685549451700953,"score_spread":0.2396137035086192,"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."}}