{"id":"W2030590624","doi":"10.1016/s0893-9659(99)00212-8","title":"Separability of the Toda Lattice","year":2000,"lang":"en","type":"article","venue":"Applied Mathematics Letters","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Integrable system; Toda lattice; Mathematics; Separation of variables; Coordinate system; Lattice (music); Local coordinates; Mathematical analysis; Position (finance); Point (geometry); Pure mathematics; Mathematical physics; Geometry; Partial differential equation; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008846683,0.0004183614,0.001365819,0.002021004,0.003173586,0.004168419,0.001326358,0.001221604,0.006863021],"category_scores_gemma":[0.003494336,0.0005990832,0.0008553239,0.0009077001,0.002558653,0.003332685,0.00233779,0.002465178,0.0007561081],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001787171,"about_ca_system_score_gemma":0.001485128,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002640023,"about_ca_topic_score_gemma":0.001833391,"domain_scores_codex":[0.9993742,0.0001290562,0.00004311054,0.00008574307,0.0002438322,0.0001239665],"domain_scores_gemma":[0.9974936,0.0008444229,0.000365748,0.000317023,0.0002850209,0.0006942007],"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":[0.00007726263,0.00002757449,0.0001985191,0.00002284787,0.00001120947,0.00005964424,0.00007635455,0.002107237,0.0006812142,0.9947465,0.000853816,0.001137764],"study_design_scores_gemma":[0.00005699142,0.00001191238,0.000155706,0.00001313348,0.000005154147,0.00006682387,0.00005882857,0.02495871,0.0003019395,0.973022,0.00133632,0.00001242476],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7634326,0.001353631,0.08082782,0.003719183,0.0005353537,0.0000801179,0.0008018669,0.0003863296,0.1488632],"genre_scores_gemma":[0.9695976,0.0004368824,0.01295638,0.0002747309,0.0001862929,0.00009708058,0.0005358669,0.00009253604,0.0158227],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006863021,"threshold_uncertainty_score":0.02295911,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007135312159310533,"score_gpt":0.2238902938701435,"score_spread":0.216754981710833,"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."}}