{"id":"W1974695384","doi":"10.1002/mana.200710128","title":"Negativity indices for definite and indefinite Sturm‐Liouville problems","year":2010,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Sturm–Liouville theory; Mathematics; Negativity effect; Positive-definite matrix; Pure mathematics; Applied mathematics; Mathematical analysis; Cognitive psychology; Eigenvalues and eigenvectors; Psychology","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"],"consensus_categories":[],"category_scores_codex":[0.001662113,0.0005111278,0.0008108867,0.0001877363,0.0003237431,0.0001957156,0.000514759,0.0003117096,0.0002000866],"category_scores_gemma":[0.00260885,0.0004133843,0.0002027435,0.000420885,0.0003183437,0.0004020586,0.0002360149,0.0007351585,0.0001112708],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002540393,"about_ca_system_score_gemma":0.00004899669,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009770165,"about_ca_topic_score_gemma":0.00004464175,"domain_scores_codex":[0.9974079,0.000101845,0.0007240134,0.00059959,0.0005043153,0.0006623794],"domain_scores_gemma":[0.9939057,0.004399323,0.0004874837,0.0008059295,0.0001616709,0.0002399147],"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":[0.00002773091,0.0004431921,0.0002907238,0.001082349,0.0001445631,0.000002770109,0.002235421,0.000001264814,0.01132217,0.9809458,0.001442854,0.002061161],"study_design_scores_gemma":[0.001018237,0.0001449899,0.0002524749,0.0001240908,0.0001662825,0.000045705,0.0001859488,0.0009649545,0.004164904,0.9906536,0.001744686,0.0005341386],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9200993,0.0001631079,0.0310087,0.0004802113,0.000321373,0.002522762,0.0001105904,0.0006239126,0.04467006],"genre_scores_gemma":[0.8094897,0.00001361672,0.1887975,0.0001489868,0.00026191,0.0005061241,0.00001230578,0.0001483214,0.0006216314],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1577888,"threshold_uncertainty_score":0.9998318,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0516575671864535,"score_gpt":0.3302209692813199,"score_spread":0.2785634020948664,"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."}}