{"id":"W2060511465","doi":"10.4153/cjm-2002-043-6","title":"Form Domains and Eigenfunction Expansions for Differential Equations with Eigenparameter Dependent Boundary Conditions","year":2002,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Eigenfunction; Mathematics; Mathematical analysis; Boundary value problem; Differential equation; Convergence (economics); Boundary (topology); Eigenvalues and eigenvectors; 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":[],"consensus_categories":[],"category_scores_codex":[0.0001198013,0.0001178423,0.0001906458,0.0002037993,0.0002588792,0.0001470216,0.0002296179,0.00004587991,0.00003103873],"category_scores_gemma":[0.0001818059,0.00009494885,0.00005728035,0.0001084045,0.00006287728,0.0003934593,0.00001526107,0.0001297525,0.000003765665],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009680705,"about_ca_system_score_gemma":0.0001177114,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008058701,"about_ca_topic_score_gemma":0.0004234239,"domain_scores_codex":[0.9991388,0.000008115912,0.0003384189,0.0001060875,0.0001667791,0.0002417954],"domain_scores_gemma":[0.9987693,0.0003312912,0.0001568779,0.0002174898,0.0001696524,0.0003553535],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000006209902,0.0003277057,0.0000694535,0.0004798672,0.0003470804,0.00009883249,0.01089889,0.03497432,0.001357042,0.9439781,0.001125016,0.006337523],"study_design_scores_gemma":[0.0006912386,0.0002678958,0.00005655218,0.0002109086,0.00009507494,0.0005105642,0.0003052766,0.8562441,0.0002707055,0.1408074,0.0002955976,0.000244654],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04712231,0.0001095138,0.9520485,0.0002281256,0.0001775974,0.0001765907,0.00001329908,0.0000171609,0.0001068853],"genre_scores_gemma":[0.6554134,0.000005734002,0.344423,0.00003274986,0.00003937229,0.00001293994,9.244436e-7,0.00001274732,0.0000590289],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8212698,"threshold_uncertainty_score":0.3871901,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02951587029302468,"score_gpt":0.2353144043764371,"score_spread":0.2057985340834124,"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."}}