{"id":"W4244622121","doi":"10.29169/1927-5129.2020.16.06","title":"Solving the Periodic Toda-Type Chain with a Self-Consistent Source","year":2020,"lang":"en","type":"article","venue":"Journal of Basic & Applied Sciences","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Toda lattice; Type (biology); Chain (unit); Inverse; Mathematical analysis; Mathematics; Physics; Quantum mechanics; Geometry; Geology","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.0004396366,0.0001010752,0.0001802387,0.00002825339,0.0003990559,0.0001653408,0.0003424544,0.00001340401,0.0001353175],"category_scores_gemma":[0.000004938421,0.0000523602,0.00008186201,0.0003150927,0.0002142656,0.00008383748,0.00004701749,0.0002241294,0.00001222869],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009960574,"about_ca_system_score_gemma":0.000284396,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009184649,"about_ca_topic_score_gemma":0.000001142881,"domain_scores_codex":[0.9990545,0.00002736481,0.0002304674,0.0001324715,0.000348565,0.0002066398],"domain_scores_gemma":[0.9994044,0.00007616638,0.0002515096,0.00008426871,0.0000606772,0.0001229522],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.001218604,0.002037206,0.2030937,0.0002071051,0.002282192,0.0001141811,0.1680409,0.03520244,0.07096825,0.2643216,0.02493357,0.2275803],"study_design_scores_gemma":[0.008722686,0.007570197,0.01801967,0.0005285378,0.001210175,0.0003177399,0.4026449,0.06615572,0.02276224,0.01257419,0.4564945,0.002999428],"study_design_candidate":"qualitative","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9775347,0.0001594319,0.002891006,0.005374083,0.0001221405,0.000126045,0.000001995573,0.00001227857,0.01377837],"genre_scores_gemma":[0.9959809,0.000003353875,0.002639374,0.0005762659,0.0007517845,0.000001188372,2.628136e-7,0.000006293537,0.00004063275],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4315609,"threshold_uncertainty_score":0.3069256,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01678588093822911,"score_gpt":0.2323651173555861,"score_spread":0.215579236417357,"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."}}