{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001536167,0.0004565125,0.0004995992,0.0001910871,0.0006724084,0.0004460925,0.0007591796,0.0002582261,0.00002878726],"category_scores_gemma":[0.002753191,0.000488751,0.0004863087,0.0003122873,0.0004068758,0.0007722705,0.0005001407,0.0007754832,0.0002290363],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006324147,"about_ca_system_score_gemma":0.000233655,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002729513,"about_ca_topic_score_gemma":0.000004580051,"domain_scores_codex":[0.9963455,0.0002382687,0.001338458,0.0004172512,0.001021625,0.0006389589],"domain_scores_gemma":[0.9954647,0.001407749,0.00150717,0.0007543335,0.0004720511,0.0003940127],"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":[0.000277787,0.0004072973,0.000010011,0.0003370851,0.0002935256,0.0001999168,0.0009447436,0.00001539292,0.0003830871,0.9902709,0.006511479,0.0003487453],"study_design_scores_gemma":[0.007535084,0.006599334,0.0001119248,0.001378273,0.001496973,0.001419939,0.001922397,0.09691715,0.004291821,0.832592,0.04432863,0.001406529],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9621305,0.0002359714,0.02544834,0.000190038,0.008005878,0.0001225156,0.00005515131,0.0001237677,0.003687852],"genre_scores_gemma":[0.9903578,0.0001848566,0.005577342,0.0001159809,0.002958577,0.00002556854,0.00001975764,0.0002658369,0.0004942802],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.157679,"threshold_uncertainty_score":0.9997564,"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."}}