{"id":"W2064748257","doi":"10.4153/cmb-2011-069-7","title":"On the Canonical Solution of the Sturm–Liouville Problem with Singularity and Turning Point of Even Order","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Sturm–Liouville theory; Singularity; Turning point; Mathematical analysis; Inverse; Differential equation; Order (exchange); Point (geometry); Boundary value problem","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009090906,0.0002388226,0.0004517453,0.00005748555,0.0001758178,0.00001839019,0.0004435027,0.000120308,0.002867245],"category_scores_gemma":[0.002232112,0.0001231066,0.0001041098,0.0002717535,0.0007777314,0.0000258065,0.0000930701,0.0003992827,0.0000773156],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001007243,"about_ca_system_score_gemma":0.0002234184,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007425924,"about_ca_topic_score_gemma":0.001195429,"domain_scores_codex":[0.9981974,0.0002327993,0.0005238078,0.0002374234,0.0004062058,0.0004023752],"domain_scores_gemma":[0.9969964,0.001664816,0.0002671661,0.0007021236,0.000154288,0.0002151823],"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":[0.00002916471,0.0001645476,0.00004315682,0.0002726174,0.00006256341,0.000003362895,0.001641226,0.000001588879,0.000186046,0.9964772,0.001052595,0.00006588524],"study_design_scores_gemma":[0.0002436702,0.0001572049,0.0001808032,0.0005510421,0.00009349073,0.00002653444,0.0004889414,0.0001428191,0.002821045,0.9950192,0.0001072358,0.0001679883],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8870073,0.00003059115,0.006396999,0.005023153,0.00004155745,0.001536115,0.00002751489,0.0000450353,0.09989171],"genre_scores_gemma":[0.9787578,9.660862e-7,0.02067356,0.0002373669,0.00001937797,0.00003208317,5.307374e-7,0.00004159331,0.0002367138],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.099655,"threshold_uncertainty_score":0.9980443,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03162251850724052,"score_gpt":0.2310950293813238,"score_spread":0.1994725108740833,"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."}}