{"id":"W1987605301","doi":"10.1016/j.ejc.2010.05.013","title":"Relative centers of motion, implicit bars and dead-center positions for planar mechanisms","year":2010,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Robotic Mechanisms and Dynamics","field":"Engineering","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Université de Montréal","keywords":"Planar; Center (category theory); Motion (physics); Mathematics; Point (geometry); Relative motion; Instant centre of rotation; Geometry; Combinatorics; Computer science; Computer graphics (images); Computer vision; Classical mechanics; Physics; Rotation (mathematics)","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003660744,0.0001062984,0.0001784305,0.0001063818,0.00005210421,0.00002018759,0.0001394104,0.00003100735,0.00000630072],"category_scores_gemma":[0.00003991197,0.0000988699,0.00008034729,0.00007495944,0.00002022525,0.000133807,0.00001666355,0.0002471693,0.000001652107],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001958604,"about_ca_system_score_gemma":0.000008463022,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.706726e-7,"about_ca_topic_score_gemma":2.640568e-7,"domain_scores_codex":[0.9992719,0.00003802622,0.0003674388,0.0000677654,0.0001231664,0.0001316824],"domain_scores_gemma":[0.9993978,0.00005547873,0.0001557607,0.000109785,0.0001665209,0.0001147237],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002619005,0.000110475,0.0002027949,0.00006657797,0.000123328,0.00003212285,0.0003255678,0.004566152,0.02443124,0.9685791,0.0006367218,0.000899712],"study_design_scores_gemma":[0.01446387,0.004171101,0.01870653,0.0006129952,0.0005868839,0.001727454,0.0006913995,0.0838185,0.01162764,0.8582611,0.003948411,0.001384111],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05509541,0.00003740587,0.9419188,0.00008000782,0.001216956,0.00009092982,0.00002479408,0.00001876107,0.001516881],"genre_scores_gemma":[0.936249,0.00004683386,0.06356425,0.00002587348,0.00004113166,5.13833e-7,0.000004902744,0.00003961916,0.00002788248],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8811536,"threshold_uncertainty_score":0.4031797,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00618528901394353,"score_gpt":0.1944377624915175,"score_spread":0.188252473477574,"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."}}