{"id":"W1527711299","doi":"10.1023/a:1016309403447","title":"The Applications of a Modified Normal Form Approach","year":2001,"lang":"en","type":"article","venue":"Applied Mathematics and Mechanics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Maple; Chen; Zhàng; Computer science; Mathematics; Algebra over a field; Pure mathematics; Calculus (dental); Medicine","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":[0.00129879,0.0008823268,0.0008689351,0.00218959,0.001077762,0.001903075,0.001618806,0.001611131,0.008760427],"category_scores_gemma":[0.004516001,0.0003720603,0.00125893,0.001369185,0.002874351,0.004714911,0.002675832,0.002117877,0.001604318],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001003931,"about_ca_system_score_gemma":0.0006488959,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001284423,"about_ca_topic_score_gemma":0.001167867,"domain_scores_codex":[0.999005,0.0003927446,0.00005371519,0.0001514872,0.00033088,0.00006623782],"domain_scores_gemma":[0.9987451,0.0003569913,0.0001249109,0.0002654191,0.0003742239,0.000133353],"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":[0.000005745615,0.000008152905,0.00004937021,0.00001903074,0.000004886966,0.00003863087,0.00006359401,0.00147693,0.000331748,0.9888364,0.001064478,0.008101037],"study_design_scores_gemma":[0.000003260877,0.000009973268,0.00005843888,0.000007217659,0.000002526738,0.00009179209,0.00001725795,0.01737518,0.0001320891,0.9741761,0.008117444,0.000008731527],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02812219,0.003403353,0.8094621,0.004338928,0.002777905,0.00006814845,0.0001251607,0.0002873129,0.1514149],"genre_scores_gemma":[0.5743189,0.006381883,0.2615446,0.001540128,0.005064745,0.0001598364,0.0002572966,0.0006599331,0.1500726],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008760427,"threshold_uncertainty_score":0.02930653,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02838517182159165,"score_gpt":0.2676378707469109,"score_spread":0.2392526989253192,"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."}}