{"id":"W2082477946","doi":"10.1016/j.mechmachtheory.2012.01.015","title":"Using Gröbner bases to generate efficient kinematic solutions for the dynamic simulation of multi-loop mechanisms","year":2012,"lang":"en","type":"article","venue":"Mechanism and Machine Theory","topic":"Dynamics and Control of Mechanical Systems","field":"Engineering","cited_by":24,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Kinematics; Loop (graph theory); Computer science; Control theory (sociology); Control engineering; Artificial intelligence; Mathematics; Engineering; Physics; Classical mechanics; Combinatorics","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":[0.001109412,0.0008317006,0.0007683881,0.0008132213,0.0005527866,0.0008117943,0.00101778,0.001268359,0.003574943],"category_scores_gemma":[0.004059174,0.0006316728,0.0006308637,0.0008578214,0.0008407492,0.001207731,0.001329362,0.001506435,0.0006444898],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000478999,"about_ca_system_score_gemma":0.0008696683,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001873091,"about_ca_topic_score_gemma":0.002625,"domain_scores_codex":[0.9995558,0.0001595072,0.00002108383,0.00003711319,0.0001873582,0.00003924932],"domain_scores_gemma":[0.9991038,0.0005505105,0.00006631781,0.00009608863,0.0001449851,0.00003826434],"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":[0.00004371511,0.00005501268,0.0001386416,0.00005449968,0.00002054024,0.00003534574,0.00006119609,0.9224461,0.002235658,0.04701395,0.0003902295,0.02750502],"study_design_scores_gemma":[0.00001756174,0.00001704433,0.00001721111,0.000008375109,0.000002966117,0.00000629421,0.00000991772,0.974761,0.0008315674,0.02386134,0.0004614511,0.000005246976],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01741574,0.00007296113,0.9792562,0.00008859522,0.00002897133,0.00004547028,0.00004491479,0.0002795073,0.002767642],"genre_scores_gemma":[0.4066726,0.000178875,0.5901936,0.00007982059,0.00002244129,0.0003135461,0.0001739451,0.0001988431,0.002166396],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003574943,"threshold_uncertainty_score":0.01195937,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02909523710644743,"score_gpt":0.2606436743811874,"score_spread":0.2315484372747399,"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."}}