{"id":"W2124948884","doi":"10.1006/jsvi.1999.2751","title":"ON THE COMPUTATION OF THE COEFFICIENTS ASSOCIATED WITH HIGH ORDER NORMAL FORMS","year":2000,"lang":"en","type":"article","venue":"Journal of Sound and Vibration","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Maple; Jacobian matrix and determinant; Symbolic computation; Diagonal; Computation; Mathematics; Order (exchange); Applied mathematics; Mathematical analysis; Calculus (dental); Algebra over a field; Pure mathematics; Algorithm; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001927587,0.001259493,0.0009566834,0.002645076,0.0008525411,0.002420621,0.001694006,0.001070893,0.006631271],"category_scores_gemma":[0.01838394,0.0005173477,0.0005854024,0.00151521,0.001893921,0.003787794,0.002327768,0.002587563,0.001542829],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007044671,"about_ca_system_score_gemma":0.0009980809,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001731003,"about_ca_topic_score_gemma":0.003157919,"domain_scores_codex":[0.9993452,0.0002089712,0.00004029541,0.00007177811,0.0002604802,0.00007331809],"domain_scores_gemma":[0.9943831,0.004004779,0.0002495781,0.0004575553,0.0006114084,0.000293654],"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":[0.0003561556,0.0001841429,0.002973733,0.0003490447,0.00005011257,0.0004091058,0.0007988347,0.07464352,0.01152699,0.7426564,0.006657545,0.1593944],"study_design_scores_gemma":[0.00005204667,0.0000487469,0.0007869869,0.00007243007,0.00002124799,0.0002073393,0.0001772271,0.5612341,0.005212937,0.4275551,0.004582242,0.00004951927],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1607207,0.0006483626,0.8191926,0.0004626569,0.0003075679,0.0001199325,0.000202939,0.0005876491,0.0177575],"genre_scores_gemma":[0.5723976,0.001259094,0.4047916,0.0001676501,0.0002698241,0.0001727395,0.0006932959,0.000787529,0.01946079],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006631271,"threshold_uncertainty_score":0.02218384,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01719600400188238,"score_gpt":0.2596255287434947,"score_spread":0.2424295247416123,"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."}}