{"id":"W2033068432","doi":"10.1016/s0034-4877(01)80083-5","title":"Benenti's theorem and the method of moving frames","year":2001,"lang":"en","type":"article","venue":"Reports on Mathematical Physics","topic":"Medical and Biological Sciences","field":"Medicine","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Separable space; Moving frame; Curvature; Space (punctuation); Hamiltonian (control theory); Mathematical analysis; Pure mathematics; Frame (networking); Geometry; Mathematical optimization; Computer science","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":[0.003009554,0.001259952,0.001374162,0.003269209,0.001492309,0.001848987,0.002207443,0.001856023,0.005934996],"category_scores_gemma":[0.005683939,0.0006800338,0.001744655,0.001311471,0.004969169,0.005135777,0.0035737,0.00479471,0.001080035],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001333317,"about_ca_system_score_gemma":0.0008882454,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001873743,"about_ca_topic_score_gemma":0.001336554,"domain_scores_codex":[0.9990533,0.0003548674,0.00004712397,0.0001897288,0.0002563141,0.00009861321],"domain_scores_gemma":[0.9986058,0.0007931549,0.0001116596,0.000180649,0.0002042593,0.0001044854],"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":[0.000008333765,0.000003364516,0.00002488933,0.00003888131,0.000006368469,0.00001597755,0.00007200606,0.0005535862,0.0002050466,0.9927073,0.001183626,0.005180596],"study_design_scores_gemma":[0.00001303525,0.00001534937,0.0001242731,0.00002899884,0.00000838069,0.00007033614,0.00002501604,0.00565828,0.0002184769,0.9754301,0.01839399,0.00001374655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01156778,0.01348785,0.8877344,0.005570477,0.002423473,0.00006068319,0.0001991608,0.000209989,0.0787461],"genre_scores_gemma":[0.3244182,0.01660714,0.5514447,0.002544861,0.005001519,0.0003775721,0.0003983123,0.000726884,0.09848078],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.005934996,"threshold_uncertainty_score":0.01985449,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03361367351178186,"score_gpt":0.3283353041492494,"score_spread":0.2947216306374675,"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."}}