{"id":"W2133068164","doi":"10.1016/j.jsc.2011.08.018","title":"New solutions for ordinary differential equations","year":2011,"lang":"en","type":"article","venue":"Journal of Symbolic Computation","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Ode; Mathematics; Ordinary differential equation; Integrating factor; Applied mathematics; Nonlinear system; Invertible matrix; Differential equation; Mathematical analysis; Differential algebraic equation; Pure mathematics","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":[0.0003856211,0.0001304978,0.0003196468,0.0002644489,0.0001826495,0.00003042589,0.0001756017,0.00007019111,0.0002021207],"category_scores_gemma":[0.0009887174,0.0001153947,0.0002737898,0.0002412298,0.0000302575,0.0002303942,0.00004162162,0.0001563255,0.000008461824],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007057346,"about_ca_system_score_gemma":0.0001583968,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000021078,"about_ca_topic_score_gemma":0.000005307303,"domain_scores_codex":[0.9985329,0.0001187415,0.0007291303,0.0001110245,0.0002706186,0.0002375829],"domain_scores_gemma":[0.9977071,0.0009555505,0.0006428083,0.000116181,0.0004145167,0.0001638968],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002627402,0.001131613,0.00009910198,0.0001071613,0.0004790337,0.000004697326,0.005527181,0.0003122427,0.005489755,0.458953,0.007657558,0.5199759],"study_design_scores_gemma":[0.0009698315,0.0004145516,0.002769824,0.00005095834,0.0002980151,0.00002848916,0.0001275272,0.008900018,0.0003302433,0.9857936,0.0001789576,0.0001380182],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02227499,0.00004167904,0.9760472,0.0002021832,0.0008266617,0.00027156,0.000007064695,0.00003671854,0.0002919812],"genre_scores_gemma":[0.4369375,0.000003549186,0.5625171,0.00001416335,0.0003680275,0.000007253956,0.000004841011,0.00001995476,0.000127552],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.5268405,"threshold_uncertainty_score":0.4705661,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.234487656559519,"score_gpt":0.3882666300393659,"score_spread":0.1537789734798469,"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."}}