{"id":"W44558333","doi":"","title":"Simulation of XYC trajectory in five-axis machine tool and the Jacobian-based error estimation","year":2008,"lang":"en","type":"article","venue":"PolyPublie (École Polytechnique de Montréal)","topic":"Advanced Measurement and Metrology Techniques","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Polytechnique Montréal","funders":"","keywords":"Jacobian matrix and determinant; Singular value decomposition; Machine tool; Interpolation (computer graphics); Trajectory; Matrix (chemical analysis); Transformation matrix; Algorithm; Rotation (mathematics); Control theory (sociology); Computer science; Transformation (genetics); Machine epsilon; Mathematics; Geometry; Applied mathematics; Motion (physics); Computer vision; Artificial intelligence; Kinematics; Engineering","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004259839,0.0003065925,0.0002497713,0.0004247131,0.0002954381,0.0003895403,0.0003979416,0.0005281619,0.001852745],"category_scores_gemma":[0.001198528,0.000145026,0.0002222894,0.000453589,0.0003971385,0.0003224629,0.0003010646,0.000257968,0.0001618258],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004386851,"about_ca_system_score_gemma":0.0007767074,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01999532,"about_ca_topic_score_gemma":0.007634602,"domain_scores_codex":[0.999832,0.00003393727,0.00001040679,0.00002100293,0.00007976069,0.00002291008],"domain_scores_gemma":[0.9995993,0.0001561833,0.00005498474,0.00004421992,0.0001269225,0.0000184744],"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":[0.00005578838,0.0000177136,0.001760076,0.00003101714,0.000005066829,0.00009059504,0.00007114257,0.9867162,0.002086961,0.002638452,0.0002420711,0.006284912],"study_design_scores_gemma":[0.000003581265,0.00001246774,0.0003477744,0.000002138868,8.61989e-7,0.000007030685,0.000009728603,0.9983595,0.0009375347,0.0001533399,0.000163137,0.000002949781],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5879595,0.0001713761,0.3981767,0.0002153018,0.00007576942,0.0001132647,0.0006580068,0.001454482,0.01117555],"genre_scores_gemma":[0.9756216,0.00005020033,0.02281786,0.00000587605,0.000002278419,0.00003548713,0.0002073559,0.00003585491,0.001223427],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01999532,"threshold_uncertainty_score":0.03975791,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01291723409233873,"score_gpt":0.2306293715258114,"score_spread":0.2177121374334727,"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."}}