{"id":"W4299653223","doi":"10.48550/arxiv.1602.02618","title":"On the use of Hahn's asymptotic formula and stabilized recurrence for a\\n fast, simple, and stable Chebyshev--Jacobi transform","year":2016,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Optical Polarization and Ellipsometry","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Orthogonality; Simple (philosophy); Jacobi polynomials; Chebyshev polynomials; Chebyshev iteration; Chebyshev equation; Inverse; Chebyshev filter; Mathematical analysis; Stability (learning theory); Applied mathematics; Orthogonal polynomials; Classical orthogonal polynomials; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003835161,0.0005635204,0.000693755,0.0003102687,0.000270109,0.0001224257,0.000395103,0.0004514384,0.0001642028],"category_scores_gemma":[0.0003460525,0.0004666535,0.0002336218,0.0005092816,0.0004483971,0.0005565602,0.0002522763,0.00053571,0.00001177442],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001697355,"about_ca_system_score_gemma":0.00009420413,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003901458,"about_ca_topic_score_gemma":0.00002785711,"domain_scores_codex":[0.9977942,0.00009707421,0.000486249,0.000873092,0.0001282059,0.0006211911],"domain_scores_gemma":[0.9966032,0.001921983,0.0002011454,0.0007169018,0.0002328072,0.0003239771],"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":[0.00169101,0.0004744975,0.003986004,0.003965347,0.001005186,0.00001680522,0.001276998,0.1907579,0.002049297,0.7819086,0.0005537927,0.01231462],"study_design_scores_gemma":[0.004702334,0.0006276597,0.001763339,0.0009902547,0.0006884847,0.000003801327,0.0004350994,0.8758461,0.003053094,0.1025019,0.007959638,0.00142829],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5442946,0.0001311073,0.4516669,0.0001974211,0.0002612832,0.00162953,0.0005465746,0.00007709955,0.001195511],"genre_scores_gemma":[0.996318,0.002012379,0.0004388144,0.00005522709,0.000034473,0.000004171121,0.00002364129,0.00006042571,0.001052813],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6850883,"threshold_uncertainty_score":0.9997785,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08569303081935399,"score_gpt":0.1882653957074698,"score_spread":0.1025723648881158,"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."}}