{"id":"W2346500473","doi":"10.1016/j.jmaa.2017.01.056","title":"Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials","year":2017,"lang":"en","type":"preprint","venue":"Journal of Mathematical Analysis and Applications","topic":"Optical Polarization and Ellipsometry","field":"Engineering","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Isospectral; Orthogonal polynomials; Mathematics; Diagonal; Orthogonality; Invariant (physics); Pure mathematics; Inverse; Jacobi polynomials; Gegenbauer polynomials; Classical orthogonal polynomials; Algebra over a field; Geometry","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":[],"consensus_categories":[],"category_scores_codex":[0.0004092334,0.0002094675,0.0007045367,0.0008956765,0.0001935555,0.0003336918,0.0002629301,0.0002057667,0.00006363953],"category_scores_gemma":[0.00009339547,0.0001674957,0.0003307489,0.0005435783,0.000106261,0.00015142,0.0001282671,0.000523283,0.000015806],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004143547,"about_ca_system_score_gemma":0.00003498781,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002800547,"about_ca_topic_score_gemma":0.00000355929,"domain_scores_codex":[0.9985586,0.00002089768,0.0008206448,0.0001529185,0.0002745552,0.0001723615],"domain_scores_gemma":[0.9987083,0.0001412604,0.0004192166,0.0003125247,0.0001497693,0.0002689303],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00007468287,0.003015211,0.02960641,0.0119899,0.04048065,0.00004348785,0.002978203,0.09238502,0.002003958,0.5919581,0.009727175,0.2157372],"study_design_scores_gemma":[0.001568381,0.0001537742,0.05158316,0.0005466209,0.026111,0.0003941407,0.0007660321,0.5604026,0.0004212987,0.3424686,0.01340785,0.002176636],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08465717,0.006202996,0.9017748,0.0008808969,0.0000779957,0.0003376999,0.000135023,0.00006422243,0.005869233],"genre_scores_gemma":[0.9797307,0.003409876,0.01632552,0.00003000534,0.0002894548,0.00002474877,0.0000250327,0.00002214962,0.0001425595],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8950735,"threshold_uncertainty_score":0.6830276,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01095786800543476,"score_gpt":0.2515924220122281,"score_spread":0.2406345540067934,"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."}}