{"id":"W1972722562","doi":"10.1063/1.3653482","title":"Jordan algebras and orthogonal polynomials","year":2011,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Orthogonal polynomials; Jacobi polynomials; Classical orthogonal polynomials; Wilson polynomials; Discrete orthogonal polynomials; Algebra over a field; Gegenbauer polynomials; Operator (biology)","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":[0.0005233425,0.0003204097,0.0002845206,0.0009383077,0.00114167,0.001237695,0.0004360415,0.0004574354,0.005580836],"category_scores_gemma":[0.00137868,0.0001215548,0.000414721,0.0008324875,0.001759069,0.002271421,0.001032417,0.0009616655,0.0005236354],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000629845,"about_ca_system_score_gemma":0.0006318234,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001112678,"about_ca_topic_score_gemma":0.001176095,"domain_scores_codex":[0.9995928,0.0001053803,0.00002017518,0.00004702579,0.0001207214,0.0001138618],"domain_scores_gemma":[0.9995407,0.0001182056,0.00008531238,0.00005692603,0.0001180684,0.00008078145],"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":[0.000003047943,0.000004904326,0.00003481918,0.000007238854,8.341725e-7,0.00003394856,0.00007194137,0.0003638002,0.0003999065,0.9971969,0.0002541387,0.001628435],"study_design_scores_gemma":[0.000003378382,0.000007043973,0.00006025262,0.000006012103,0.000001166089,0.00008535104,0.00006121326,0.005912007,0.000401436,0.9893458,0.004110585,0.000005652214],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3223122,0.00302463,0.4204061,0.002850346,0.0005149824,0.00008348358,0.0002404038,0.0003125535,0.2502553],"genre_scores_gemma":[0.9338598,0.0009103013,0.03984694,0.0004526942,0.0003360127,0.00005448329,0.0001125404,0.00005226003,0.02437514],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005580836,"threshold_uncertainty_score":0.01866978,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09469350963268937,"score_gpt":0.3014637819761025,"score_spread":0.2067702723434131,"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."}}