{"id":"W4411468037","doi":"10.1007/978-3-031-85288-6_2","title":"A Concise Form of Natural Coordinates for Multibody Dynamics: With Examples","year":2025,"lang":"en","type":"book-chapter","venue":"Springer proceedings in mathematics & statistics","topic":"Dynamics and Control of Mechanical Systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Multibody system; Dynamics (music); Natural (archaeology); Computer science; Classical mechanics; Physics; Geography; Acoustics","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":[0.0003006418,0.0005238889,0.001078665,0.0002546836,0.00003730227,0.00007163798,0.0003726539,0.0002917071,0.00001050703],"category_scores_gemma":[0.0001561829,0.0004727137,0.0001112758,0.00005221296,0.00007402062,0.00006893145,0.00007948207,0.0004169031,0.000002770254],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003306972,"about_ca_system_score_gemma":0.00005807028,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001184676,"about_ca_topic_score_gemma":0.0001999397,"domain_scores_codex":[0.9980179,0.000001224813,0.0009469125,0.0003157741,0.0003389026,0.0003792519],"domain_scores_gemma":[0.998464,0.0004280649,0.0003897492,0.000194914,0.0004530169,0.00007020539],"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":[0.0000332914,0.00003064114,0.00001548447,0.008571907,0.0002528281,0.000006193961,0.0003600273,0.00007113669,0.0001259171,0.9853255,0.0003794879,0.004827607],"study_design_scores_gemma":[0.0009615559,0.0001234178,0.000006096031,0.002891909,0.0002196434,0.000005060044,0.0001556153,0.705505,0.00005150603,0.286621,0.002905101,0.0005540754],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.001281563,0.001460419,0.8170938,0.00004577496,0.001017117,0.005150905,0.003810565,0.0004476144,0.1696922],"genre_scores_gemma":[0.1699488,0.0005888641,0.7108468,0.00003588904,0.0002297447,0.0005640923,0.000360071,0.0006508744,0.1167749],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.7054339,"threshold_uncertainty_score":0.9997724,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006936590721605342,"score_gpt":0.2126699048166279,"score_spread":0.2057333140950226,"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."}}