{"id":"W2083008816","doi":"10.1017/s1446181100009901","title":"Guide expansions for the recursive parametric solution of polynomial dynamical systems","year":2006,"lang":"en","type":"article","venue":"The ANZIAM Journal","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Ode; Polynomial; Parametric statistics; Applied mathematics; Series (stratigraphy); Dynamical systems theory; Mathematics; Variable (mathematics); Order (exchange); Mathematical analysis; 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":[],"consensus_categories":[],"category_scores_codex":[0.0003910327,0.00008286592,0.0001390969,0.00004180699,0.0004366911,0.0000622878,0.0002279306,0.00002690934,0.00002244667],"category_scores_gemma":[0.00001290417,0.00004283921,0.0002008359,0.0001312798,0.00008175503,0.0000505404,0.00002876467,0.0001998034,0.000004690077],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000259404,"about_ca_system_score_gemma":0.00008023687,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009838741,"about_ca_topic_score_gemma":0.00000856913,"domain_scores_codex":[0.9991938,0.00007223473,0.0003101174,0.00007190907,0.0001372724,0.0002146836],"domain_scores_gemma":[0.9991118,0.0003508618,0.0002120753,0.0001761192,0.000110569,0.00003859829],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0006636837,0.001828374,0.0145487,0.00005870905,0.001556584,0.000008343342,0.00189362,0.04461984,0.01265298,0.3289175,0.5107332,0.08251844],"study_design_scores_gemma":[0.008217085,0.001249834,0.03948921,0.0004849414,0.001736255,0.0003953628,0.01967398,0.3783379,0.004481574,0.07574283,0.4688151,0.001375878],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5857098,0.001888583,0.3978219,0.004052506,0.002551281,0.0009866849,0.0003754989,0.00001884272,0.006594897],"genre_scores_gemma":[0.9952114,0.00001112458,0.0006113924,0.00001643307,0.002665666,0.000009294614,0.00001393687,0.00001055259,0.001450148],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4095016,"threshold_uncertainty_score":0.3358719,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01238691991739017,"score_gpt":0.2729921807472564,"score_spread":0.2606052608298662,"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."}}