{"id":"W2725689688","doi":"10.3390/sym10110541","title":"Factorizations of Symmetric Macdonald Polynomials","year":2018,"lang":"en","type":"preprint","venue":"Symmetry","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Factorization; Conjecture; Macdonald polynomials; Mathematics; Context (archaeology); Koornwinder polynomials; Pure mathematics; Combinatorics; Orthogonal polynomials; Symmetric function; Algebra over a field; Classical orthogonal polynomials; History","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":[0.0007974113,0.0007802091,0.0005811157,0.001460964,0.00149895,0.00237315,0.0009008783,0.0009134515,0.007732651],"category_scores_gemma":[0.002944033,0.000427984,0.001058335,0.0007937049,0.002588818,0.004103472,0.00133717,0.001796927,0.001136443],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001462852,"about_ca_system_score_gemma":0.0007156814,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001547655,"about_ca_topic_score_gemma":0.001617046,"domain_scores_codex":[0.9992796,0.0001015062,0.000036467,0.0001457507,0.0001960235,0.000240679],"domain_scores_gemma":[0.9990552,0.000248029,0.0001818843,0.0001529888,0.0001816064,0.000180237],"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":[0.00004391119,0.00002217967,0.0003502288,0.00003535261,0.00000470421,0.0001790805,0.0002875157,0.0009087956,0.003175535,0.9900638,0.000661279,0.004267559],"study_design_scores_gemma":[0.00001629014,0.00002961043,0.000251349,0.00001660253,0.000006412114,0.000190617,0.0001033782,0.01081296,0.001958828,0.9847685,0.001824868,0.00002068537],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7442483,0.0009312126,0.1980704,0.001149663,0.0004499002,0.00009282833,0.0003358341,0.0003265913,0.05439527],"genre_scores_gemma":[0.979014,0.0002639214,0.0126051,0.0001431997,0.0001870699,0.0000332321,0.0001287867,0.00005849293,0.007566311],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007732651,"threshold_uncertainty_score":0.0258683,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05296056852083974,"score_gpt":0.3275658559181008,"score_spread":0.274605287397261,"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."}}