{"id":"W2078735438","doi":"10.1115/1.4030006","title":"A Reparametrization of the Rotation Matrix in Rigid-Body Dynamics","year":2015,"lang":"en","type":"article","venue":"Journal of Applied Mechanics","topic":"Vibration Control and Rheological Fluids","field":"Engineering","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Quaternion; Rigid body; Euler angles; Rigid body dynamics; Mathematics; Parametrization (atmospheric modeling); Scalar (mathematics); Angular velocity; Invariant (physics); Rotation matrix; Kinematics; Rotation (mathematics); Dual quaternion; Classical mechanics; Mathematical analysis; Geometry; Physics","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":[],"consensus_categories":[],"category_scores_codex":[0.0004053269,0.00005952652,0.0001551571,0.0001016503,0.0000107882,0.00000947439,0.0001200372,0.00007953712,0.00000536373],"category_scores_gemma":[0.0001017616,0.00003918828,0.00004789435,0.0003502221,0.000005668596,0.00006801999,0.00001411706,0.0001512356,0.000001787133],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001030046,"about_ca_system_score_gemma":0.00003450989,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001263439,"about_ca_topic_score_gemma":0.000007265965,"domain_scores_codex":[0.9992608,0.00001588786,0.0003986328,0.00003991658,0.0002111544,0.00007359258],"domain_scores_gemma":[0.9995994,0.00003511316,0.000139763,0.00008383387,0.0001027561,0.00003912219],"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":[0.0001168506,0.00004822814,0.00009929666,0.00002525433,0.00002867229,0.000002271724,0.0002510503,0.6161317,0.02527724,0.3550871,0.0002029092,0.002729478],"study_design_scores_gemma":[0.0007931732,0.00006860793,0.0001252749,0.00001563302,0.00001721536,0.000008053268,0.0001635771,0.9457732,0.006317146,0.04652481,0.0001380972,0.00005515606],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1844418,0.0001433196,0.8122938,0.0001548625,0.0006862192,0.0002054572,0.000003502812,0.00002538448,0.002045612],"genre_scores_gemma":[0.9965637,0.00003002272,0.00331333,0.000023563,0.00004682543,0.000001924957,0.000001511667,0.000007579128,0.0000115936],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8121219,"threshold_uncertainty_score":0.1598052,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007944735078681547,"score_gpt":0.2160926755513685,"score_spread":0.208147940472687,"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."}}