{"id":"W2017722592","doi":"10.1007/s12190-008-0225-2","title":"Solvable systems of linear differential equations","year":2009,"lang":"en","type":"article","venue":"Journal of Applied Mathematics and Computing","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Prince Edward Island","funders":"","keywords":"Mathematics; Linear differential equation; Applied mathematics; Differential equation; Linear system; Connection (principal bundle); Riccati equation; Work (physics); Linear equation; Simple (philosophy); Mathematical analysis","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":[0.0001994172,0.00009776294,0.0003199434,0.00004791015,0.00008007445,0.00003843667,0.0001018754,0.00002270677,0.00001042898],"category_scores_gemma":[0.000002593153,0.00008035656,0.00008036218,0.00007097933,0.00001227464,0.0000353898,0.00002614654,0.000125626,0.000001442146],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000517613,"about_ca_system_score_gemma":0.00002962467,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001529262,"about_ca_topic_score_gemma":2.083217e-8,"domain_scores_codex":[0.9991419,0.000004581735,0.0005013967,0.00006468077,0.0001663046,0.0001211849],"domain_scores_gemma":[0.9990389,0.00009207312,0.0006242686,0.00009219503,0.00009734416,0.00005524901],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001043096,0.0002726143,0.000007318272,0.00006551047,0.00007046993,6.488826e-7,0.0006536476,0.001277642,0.01702005,0.9724718,0.00006798185,0.00808184],"study_design_scores_gemma":[0.0009325689,0.0002265546,0.00003601376,0.0003297525,0.0001365125,0.00000716374,0.00150953,0.7296423,0.009881668,0.2570077,0.00007382979,0.0002164457],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4100029,0.00003875727,0.5866609,0.00001137605,0.00009051181,0.00007162061,0.000002834604,0.000003700041,0.003117425],"genre_scores_gemma":[0.9877934,0.000002651824,0.01182545,0.000006765449,0.000350594,3.087858e-7,0.000001332526,0.000008053318,0.00001143639],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7283646,"threshold_uncertainty_score":0.3276846,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01496517912396679,"score_gpt":0.2449876349325949,"score_spread":0.2300224558086281,"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."}}