{"id":"W3124285541","doi":"","title":"Lipschitz Continuous Ordinary Differential Equations are Polynomial-Space Complete","year":2010,"lang":"en","type":"article","venue":"","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":37,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lipschitz continuity; Mathematics; Polynomial; Ordinary differential equation; Matrix polynomial; Space (punctuation); Initial value problem; Differential equation; Differential (mechanical device); Function (biology); Pure mathematics; Mathematical analysis; Discrete mathematics; Computer science","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":[0.001079667,0.000437512,0.00125305,0.0005581242,0.000857906,0.002875871,0.0007986458,0.0008725476,0.005743623],"category_scores_gemma":[0.005430857,0.000450315,0.001378856,0.0008945637,0.002415301,0.004001492,0.001529089,0.00359486,0.0004450737],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002383986,"about_ca_system_score_gemma":0.001232988,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002723065,"about_ca_topic_score_gemma":0.002371951,"domain_scores_codex":[0.9991139,0.0001560584,0.00004610284,0.0001903859,0.0003484002,0.0001452229],"domain_scores_gemma":[0.9967178,0.002283085,0.0002282388,0.0002462957,0.000379284,0.0001453873],"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":[0.00006110443,0.00001699588,0.0002495766,0.00005593398,0.00001494412,0.00006957917,0.0001473221,0.01981695,0.001071757,0.9735563,0.0007713164,0.00416824],"study_design_scores_gemma":[0.00004777914,0.00001960601,0.0002645712,0.0000122986,0.00001118025,0.00004532413,0.00004122686,0.09172264,0.00153625,0.9037538,0.00252872,0.00001654033],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3727259,0.0007817188,0.5810553,0.002282522,0.0001190438,0.0001293927,0.001325271,0.0004356451,0.04114521],"genre_scores_gemma":[0.9476112,0.0003949566,0.03618337,0.0002337511,0.00008149123,0.0001184124,0.0006088528,0.00009133724,0.01467671],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005743623,"threshold_uncertainty_score":0.01921433,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0180171777035858,"score_gpt":0.2369196725968633,"score_spread":0.2189024948932775,"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."}}