{"id":"W2070177607","doi":"10.1007/s11044-010-9241-8","title":"Triangularizing kinematic constraint equations using Gröbner bases for real-time dynamic simulation","year":2011,"lang":"en","type":"article","venue":"Multibody System Dynamics","topic":"Real-time simulation and control systems","field":"Engineering","cited_by":19,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Differential algebraic equation; Kinematics; Generalized coordinates; Nonlinear system; Mathematics; Ordinary differential equation; Differential equation; Applied mathematics; Equations of motion; Algebraic equation; Computer science; Control theory (sociology); Mathematical optimization; 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005630958,0.0003683821,0.000603705,0.0003014417,0.0002184272,0.0001132837,0.0001896601,0.0002205578,0.00005199761],"category_scores_gemma":[0.0001444785,0.0003736737,0.000243446,0.0002645937,0.00004459527,0.0003278063,0.00002094155,0.0001058153,0.00006832337],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007475095,"about_ca_system_score_gemma":0.00005132526,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002719187,"about_ca_topic_score_gemma":0.0000825192,"domain_scores_codex":[0.9977996,0.0001291058,0.001013418,0.0003400032,0.0002666433,0.0004511841],"domain_scores_gemma":[0.9983215,0.0005821606,0.0002545447,0.0004756767,0.0002211106,0.0001449712],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00003091008,0.00003405491,0.0001055526,0.0006626758,0.000151788,0.000005113091,0.0005410709,0.9805442,0.01316026,0.003316082,0.000003890167,0.001444382],"study_design_scores_gemma":[0.001486639,0.00003280327,0.0002715622,0.0003297428,0.0001494283,0.00001166791,0.0007993748,0.9964167,0.00003058666,0.00005367861,0.00001492707,0.0004028767],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07466304,0.00003798609,0.9168222,0.000006231328,0.0007376941,0.002020936,0.0001692115,0.001003545,0.004539134],"genre_scores_gemma":[0.9841812,0.000001668829,0.01500149,0.000006629892,0.0001124673,0.0001199889,0.0002702367,0.0001225768,0.0001836989],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9095182,"threshold_uncertainty_score":0.9998715,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0345263603115161,"score_gpt":0.26789859408821,"score_spread":0.2333722337766939,"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."}}