{"id":"W3023588203","doi":"","title":"A Counterexample in Sturm-Liouville Completeness Theory","year":2004,"lang":"en","type":"article","venue":"Western CEDAR (Western Washington University)","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Counterexample; Completeness (order theory); Mathematics; Calculus (dental); Sturm–Liouville theory; Discrete mathematics; Mathematical analysis; Medicine","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":[0.001286155,0.0003085727,0.0005510917,0.001162547,0.00262008,0.002218833,0.0007521854,0.002217025,0.007265556],"category_scores_gemma":[0.003029913,0.0002571032,0.0005360822,0.0009006432,0.003672223,0.002978639,0.002372744,0.002141861,0.0004999833],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007069252,"about_ca_system_score_gemma":0.0005222353,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009629022,"about_ca_topic_score_gemma":0.0009562852,"domain_scores_codex":[0.9994478,0.0001470468,0.00001983279,0.00007698864,0.0002159628,0.00009236453],"domain_scores_gemma":[0.9990472,0.0004373661,0.00007323404,0.0001254935,0.0001746934,0.0001419851],"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":[0.000009271062,0.000006484824,0.00005415703,0.000008862198,0.000001644373,0.00006757896,0.00005969752,0.000358877,0.0002316482,0.9973838,0.001117288,0.0007006694],"study_design_scores_gemma":[0.00001944477,0.00001402836,0.0002001698,0.000007890788,0.000003367131,0.0002411011,0.0001361961,0.007904436,0.0005888931,0.9854757,0.005398735,0.00001007729],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5138866,0.0005276502,0.2106158,0.01756828,0.0006457693,0.00006333221,0.0003856594,0.0006673671,0.2556395],"genre_scores_gemma":[0.9528703,0.0002228305,0.02683209,0.0008504478,0.0002318149,0.00007538844,0.000221883,0.00011087,0.01858439],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007265556,"threshold_uncertainty_score":0.02430576,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05434044476990342,"score_gpt":0.2885445246111884,"score_spread":0.234204079841285,"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."}}