{"id":"W2001160411","doi":"10.1016/j.jde.2013.04.033","title":"A Prüfer angle approach to semidefinite Sturm–Liouville problems with coupling boundary conditions","year":2013,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Sturm–Liouville theory; Coupling (piping); Mathematical analysis; Boundary value problem; Semidefinite programming; Pure mathematics; Applied mathematics; Mathematical optimization","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":[],"consensus_categories":[],"category_scores_codex":[0.0002730664,0.000231484,0.0004686352,0.0002264198,0.0002449439,0.0002294853,0.0003126592,0.00006262528,0.0005850453],"category_scores_gemma":[0.0005001862,0.0001637757,0.000178089,0.0004069304,0.000112495,0.0004032175,0.00005943994,0.0003920759,0.0001104664],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001099163,"about_ca_system_score_gemma":0.0001182178,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007341213,"about_ca_topic_score_gemma":0.000005736048,"domain_scores_codex":[0.9980741,0.00006468047,0.0007463514,0.0001740038,0.000623583,0.0003172712],"domain_scores_gemma":[0.9975729,0.000833721,0.0004774587,0.0003183886,0.0005483502,0.0002492006],"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":[0.00004548909,0.003433621,0.000116532,0.000265638,0.00055496,0.000003851009,0.003755961,0.004175304,0.01226627,0.9701468,0.005129857,0.0001057082],"study_design_scores_gemma":[0.0008872272,0.0004590059,0.000601419,0.0003135555,0.0003092305,0.00004784557,0.0008287983,0.009320037,0.0007233087,0.986132,0.00006229844,0.0003153145],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4939096,0.00001861238,0.5001513,0.0002413111,0.0001083994,0.0006459362,0.00001570615,0.00004512737,0.004864027],"genre_scores_gemma":[0.9651349,0.000002088663,0.03405885,0.0000696427,0.0002505423,0.00007791484,0.00001135633,0.00005085761,0.0003438434],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4712253,"threshold_uncertainty_score":0.6678579,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04930266888431128,"score_gpt":0.2976814829157781,"score_spread":0.2483788140314668,"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."}}