{"id":"W3098119238","doi":"","title":"Cubic String Boundary Value Problems and Cauchy Biorthogonal Polynomials","year":2013,"lang":"en","type":"article","venue":"","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan; Université de Montréal; Concordia University","funders":"","keywords":"Mathematics; Biorthogonal system; Boundary value problem; Mathematical analysis; String (physics); Cauchy distribution; Pure mathematics; Mathematical 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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00006134418,0.0001105129,0.0001314306,0.00003054065,0.0001314952,0.0001605473,0.00006281681,0.00002505705,0.001517922],"category_scores_gemma":[0.000001117826,0.00008931642,0.00005289192,0.000050259,0.00005380894,0.0001606283,0.00006384827,0.00009064731,0.0001230064],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006287213,"about_ca_system_score_gemma":0.00004289754,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001934556,"about_ca_topic_score_gemma":0.000007115746,"domain_scores_codex":[0.9993465,0.00001746186,0.0001585845,0.0001735025,0.0000731535,0.0002308285],"domain_scores_gemma":[0.9996721,0.0000271139,0.0000364983,0.0001270171,0.00002400293,0.0001132994],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00001048796,0.0004589099,0.5179488,0.00008283614,0.0004041643,0.00000284037,0.001102292,0.0001034552,0.0364322,0.3035389,0.01207265,0.1278425],"study_design_scores_gemma":[0.005155714,0.0004826261,0.3123755,0.0002223058,0.0002123456,0.0000233603,0.003878778,0.02027472,0.03103949,0.228819,0.394338,0.003178229],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9755736,0.00009060383,0.0009637972,0.0003397698,0.00008855059,0.0002217409,0.00003435865,0.0000273806,0.02266022],"genre_scores_gemma":[0.9935795,0.000002981901,0.001840151,0.00007404578,0.0004180126,0.00001573057,0.00002432222,0.00001311185,0.004032141],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3822653,"threshold_uncertainty_score":0.9993948,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009591023061061625,"score_gpt":0.2252081448874004,"score_spread":0.2156171218263388,"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."}}