{"id":"W2046443717","doi":"10.1006/jdeq.2000.3854","title":"Existence and Asymptotics of Eigenvalues of Indefinite Systems of Sturm–Liouville and Dirac Type","year":2001,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Sturm–Liouville theory; Eigenvalues and eigenvectors; Type (biology); Dirac (video compression format); Integrable system; Pure mathematics; Mathematical analysis; Riccati equation; Mathematical physics; Differential equation; Boundary value problem; Quantum mechanics","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":[0.001273253,0.0005596637,0.0006839001,0.001969289,0.001639894,0.002631839,0.001082906,0.001723863,0.005037423],"category_scores_gemma":[0.007726492,0.000728854,0.0004900493,0.0006156752,0.003421688,0.002817773,0.001496388,0.001467905,0.0004395526],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001122333,"about_ca_system_score_gemma":0.0006116973,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007286848,"about_ca_topic_score_gemma":0.0006054781,"domain_scores_codex":[0.9996845,0.00008589067,0.00002162431,0.00005866929,0.00008436662,0.00006504628],"domain_scores_gemma":[0.9969084,0.001202088,0.0004866969,0.0002085891,0.0006723623,0.0005219006],"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":[0.0002164907,0.0001358896,0.00246758,0.0001085674,0.00002978572,0.00043584,0.001062265,0.01302101,0.01388311,0.959963,0.001686416,0.006990075],"study_design_scores_gemma":[0.00008820658,0.00009137147,0.003375268,0.0000459074,0.00002085615,0.0004964009,0.0006860347,0.2824429,0.003104907,0.7081816,0.001377778,0.00008872426],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8794302,0.0006641307,0.09228569,0.001276562,0.0002059875,0.00004627505,0.0000817137,0.0002319347,0.02577743],"genre_scores_gemma":[0.9892808,0.0001343818,0.006838041,0.00006199409,0.00007030104,0.00002525358,0.00005876674,0.0000370977,0.003493427],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005037423,"threshold_uncertainty_score":0.01685184,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08459467141769723,"score_gpt":0.3383159397129333,"score_spread":0.2537212682952361,"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."}}