{"id":"W2050012481","doi":"10.1007/pl00001542","title":"A systematic study of the Toda lattice in the context of the Hamilton-Jacobi theory","year":2001,"lang":"de","type":"article","venue":"Zeitschrift für angewandte Mathematik und Physik","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Toda lattice; Separable space; Mathematics; Lattice (music); Separation of variables; Hamilton–Jacobi equation; Pure mathematics; Mathematical analysis; Mathematical physics; Physics; Partial differential equation","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001232964,0.0006351465,0.00119078,0.002387142,0.002726511,0.00314604,0.001396737,0.001348963,0.001993093],"category_scores_gemma":[0.002345383,0.0005163525,0.0009596933,0.003866464,0.003985926,0.003618605,0.001836868,0.002039294,0.0005706036],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001597192,"about_ca_system_score_gemma":0.002564707,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002469036,"about_ca_topic_score_gemma":0.003577451,"domain_scores_codex":[0.9995245,0.0001978626,0.0000341373,0.00005500832,0.0001403854,0.00004805017],"domain_scores_gemma":[0.9993867,0.0002049036,0.00005670899,0.0001143571,0.000135951,0.0001014064],"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":[0.000006989635,0.00002036772,0.000164214,0.0001838163,0.000006696312,0.00008242644,0.0001798094,0.001491997,0.0005243314,0.9912724,0.0007623683,0.005304588],"study_design_scores_gemma":[0.00000691948,0.00001580062,0.0002338872,0.0001336116,0.000007613853,0.0001870523,0.0001438758,0.005959487,0.0003014065,0.9774747,0.01551523,0.00002036285],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.175102,0.1035358,0.4530554,0.01100304,0.003113534,0.0003351533,0.0006691939,0.000395911,0.25279],"genre_scores_gemma":[0.6875672,0.07212751,0.2069057,0.001610512,0.001872481,0.0003121778,0.0005700476,0.000218803,0.02881563],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00314604,"threshold_uncertainty_score":0.01158851,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02725520709098446,"score_gpt":0.3126345034694252,"score_spread":0.2853792963784408,"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."}}