{"id":"W4212911191","doi":"10.1137/1.9781611976885.ch4","title":"Chapter 4: Application to parametric differential equations","year":2022,"lang":"en","type":"book-chapter","venue":"Society for Industrial and Applied Mathematics eBooks","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University; Simon Fraser University","funders":"","keywords":"Legendre polynomials; Holomorphic function; Mathematics; Chebyshev polynomials; Parametric statistics; Applied mathematics; Parametric equation; Chebyshev filter; Extension (predicate logic); Term (time); Function (biology); Differential equation; Differential (mechanical device); Pure mathematics; Mathematical analysis; Computer science; Physics; Geometry; Statistics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006052197,0.0006417639,0.001064459,0.0001793964,0.0006577566,0.0001271915,0.0003274109,0.0007192867,0.001238277],"category_scores_gemma":[0.0001878778,0.0005931757,0.0007911473,0.00006109953,0.0001342913,0.00002726657,0.0003337939,0.0006869037,0.00005319542],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001291872,"about_ca_system_score_gemma":0.000082632,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003380527,"about_ca_topic_score_gemma":0.000002708192,"domain_scores_codex":[0.997247,0.000006801801,0.001091793,0.0006584715,0.0005624928,0.0004334735],"domain_scores_gemma":[0.9962413,0.002077516,0.0006245496,0.0006911193,0.00009121482,0.0002742408],"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":[0.00003136017,0.00007808817,2.657558e-8,0.0003653746,0.0003176511,1.448999e-7,0.0006726575,0.000002942568,0.0001893979,0.9786538,0.00964582,0.0100427],"study_design_scores_gemma":[0.0008527078,0.0001324661,2.209423e-8,0.00008166292,0.0007257781,0.000003390556,0.0001669753,0.0004304305,0.0001563789,0.7488501,0.2479921,0.000607938],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0004206898,0.00004684062,0.2790416,0.0003202528,0.0005449643,0.00913149,0.001102015,0.000359748,0.7090324],"genre_scores_gemma":[0.009985908,0.00005066201,0.1439581,0.0005988011,0.003492292,0.007040995,0.0004974537,0.0007746142,0.8336012],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.2383463,"threshold_uncertainty_score":0.9996747,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1196824419225076,"score_gpt":0.2928054909393201,"score_spread":0.1731230490168125,"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."}}