{"id":"W4251348024","doi":"10.1007/978-3-319-43370-7_4","title":"Sturm–Liouville Theory and Boundary Value Problems","year":2016,"lang":"en","type":"book-chapter","venue":"Applied and numerical harmonic analysis","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Kingston Health Sciences Centre","funders":"","keywords":"Bessel function; Mathematics; Separation of variables; Boundary value problem; Simple (philosophy); Variable (mathematics); Partial differential equation; Domain (mathematical analysis); Applied mathematics; Mathematical analysis; Finite element method; Type (biology); Differential equation; Calculus (dental); 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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007693317,0.0006255734,0.001529369,0.0004009373,0.0003089012,0.000101278,0.0002512681,0.0004241113,0.001345333],"category_scores_gemma":[0.0001393913,0.0004482402,0.0004878682,0.0002543721,0.0005212858,0.00005746842,0.0002936418,0.0005201348,0.00008041701],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008338427,"about_ca_system_score_gemma":0.00005497219,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007965167,"about_ca_topic_score_gemma":0.000002572025,"domain_scores_codex":[0.9972685,0.0001437115,0.0007329455,0.0009262237,0.0004934304,0.0004352163],"domain_scores_gemma":[0.9964628,0.002020305,0.0004766936,0.0006327127,0.00006624854,0.0003412294],"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":[0.00005415561,0.00004889695,0.000008656042,0.00008402317,0.003230762,0.000003405231,0.0001195184,5.500677e-7,0.0001437667,0.8941185,0.0001122498,0.1020755],"study_design_scores_gemma":[0.0003685751,0.00006288031,0.00005265029,0.00005169479,0.006739371,0.00000369576,0.0000253927,0.00009761599,0.00003624188,0.9673843,0.02458787,0.0005896519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"other","genre_scores_codex":[0.0001958432,0.002138265,0.7626026,0.0003056016,0.00007848091,0.0006356391,0.0001353209,0.0001943364,0.233714],"genre_scores_gemma":[0.2809829,0.005038884,0.1412459,0.001105603,0.0008555561,0.0004601188,0.0002635736,0.0007414512,0.569306],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6213566,"threshold_uncertainty_score":0.9997969,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03281719906564563,"score_gpt":0.2948704995634114,"score_spread":0.2620533004977658,"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."}}