{"id":"W2468713241","doi":"10.3204/pubdb-2016-06688","title":"Cyclic tridiagonal pairs, higher order Onsager algebras and orthogonal polynomials","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Deutsches Elektronen-Synchrotron","keywords":"Tridiagonal matrix; Orthogonal polynomials; Mathematics; Subalgebra; Classical orthogonal polynomials; Pure mathematics; Discrete orthogonal polynomials; Order (exchange); Generalization; Tridiagonal matrix algorithm; Algebra over a field; Wilson polynomials; Realization (probability); Physics; Mathematical analysis; Quantum mechanics","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":[0.000443984,0.0005118989,0.000323217,0.001484771,0.001449462,0.002215049,0.0005536579,0.0007179815,0.006120509],"category_scores_gemma":[0.0007777343,0.000205351,0.0004874544,0.001326065,0.002535097,0.003077239,0.00131934,0.001029902,0.0008896166],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009494821,"about_ca_system_score_gemma":0.0005617956,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000636773,"about_ca_topic_score_gemma":0.0007601996,"domain_scores_codex":[0.9996086,0.0001020321,0.00001903954,0.00005789694,0.000124584,0.00008793651],"domain_scores_gemma":[0.9996784,0.00005815793,0.00009066315,0.00004664292,0.00005334109,0.00007274492],"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":[0.000004133294,0.000004695156,0.00004593723,0.000008733968,8.761811e-7,0.0000362566,0.00006447376,0.0002297707,0.0002932091,0.9975443,0.0002975638,0.001469986],"study_design_scores_gemma":[0.000002812736,0.00001245712,0.00009476209,0.000008476021,0.000001696024,0.0001618191,0.00009864041,0.002415857,0.0005275094,0.9910132,0.005654818,0.000007832896],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4679369,0.004378405,0.2077698,0.001995286,0.0008984738,0.00009611482,0.0003590608,0.0004122019,0.3161537],"genre_scores_gemma":[0.9496921,0.001150983,0.02376253,0.0003204966,0.0003317113,0.00005699083,0.0001846299,0.00005540613,0.02444509],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006120509,"threshold_uncertainty_score":0.02047515,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08599517729206815,"score_gpt":0.2199182969742535,"score_spread":0.1339231196821853,"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."}}