{"id":"W2801466812","doi":"10.1139/tcsme-2011-0013","title":"EXACT LINEARIZATION AND DISCRETIZATION OF NONLINEAR SYSTEMS SATISFYING A LAGRANGE PDE CONDITION","year":2011,"lang":"en","type":"article","venue":"Transactions of the Canadian Society for Mechanical Engineering","topic":"Sensor Technology and Measurement Systems","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Discretization; Linearization; Mathematics; Nonlinear system; Invertible matrix; Exponential function; Transformation (genetics); Applied mathematics; Exact solutions in general relativity; Matrix exponential; Mathematical analysis; Differential equation; Physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002059664,0.00007069791,0.0001186649,0.00005348816,0.0001187334,0.00001063162,0.000186126,0.0001256327,0.000001568118],"category_scores_gemma":[0.00002617159,0.00006324509,0.0001195477,0.0002235811,0.00002706801,0.0001301813,0.000002502997,0.00008654685,1.447086e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006392468,"about_ca_system_score_gemma":0.00005280514,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004670216,"about_ca_topic_score_gemma":0.002502099,"domain_scores_codex":[0.9994522,0.00001148776,0.0001946099,0.0001165542,0.00009859562,0.000126573],"domain_scores_gemma":[0.9995672,0.00003087618,0.00007424653,0.0001937251,0.00007348791,0.00006051045],"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":[0.0000181517,0.0001084969,0.0003448317,0.001686687,0.0006456627,7.138529e-7,0.006117014,0.03258156,0.3526515,0.6005618,0.00006566915,0.005217909],"study_design_scores_gemma":[0.000430613,0.00007716977,0.0004084264,0.0001816021,0.00008222756,0.00001038606,0.0001713049,0.881713,0.1161887,0.0003267201,0.0002588931,0.0001510275],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.009606848,0.00007621383,0.9894611,0.000106288,0.0003060625,0.0003379282,0.0000350316,0.00005065666,0.00001993056],"genre_scores_gemma":[0.9744181,0.00001060563,0.02549719,0.00001298475,0.00001243426,0.00002347866,0.000003306724,0.000008136037,0.00001377714],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9648113,"threshold_uncertainty_score":0.7060001,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02225067976899934,"score_gpt":0.2032616234531353,"score_spread":0.181010943684136,"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."}}