{"id":"W2143815289","doi":"10.1017/s0013091502000603","title":"RIGHT SEMIDEFINITE EIGENVALUE PROBLEMS","year":2003,"lang":"en","type":"article","venue":"Proceedings of the Edinburgh Mathematical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Eigenvalues and eigenvectors; Resolvent; Hilbert space; Mathematics; Bounded function; Completeness (order theory); Semidefinite programming; Positive-definite matrix; Pure mathematics; Self-adjoint operator; Lambda; Combinatorics; Discrete mathematics; Mathematical analysis; Mathematical optimization; 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":[0.002444065,0.0004935656,0.0008513229,0.00003482321,0.0003126515,0.00008449919,0.001025926,0.0002855827,0.001569656],"category_scores_gemma":[0.003979357,0.0003106615,0.00104006,0.0008117668,0.0006752387,0.0002024696,0.0002659117,0.0006498701,0.00004279094],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001418157,"about_ca_system_score_gemma":0.00005463017,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.152579e-7,"about_ca_topic_score_gemma":8.897495e-8,"domain_scores_codex":[0.9964667,0.00003137018,0.001096848,0.0004872867,0.001170843,0.0007469821],"domain_scores_gemma":[0.9968128,0.001419884,0.000652361,0.0005059779,0.0004013154,0.0002076662],"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":[0.000004584011,0.000507373,0.0001448671,0.0009104106,0.0001527421,1.70933e-7,0.001737685,0.000004285688,0.007898195,0.9690716,0.01954949,0.0000185426],"study_design_scores_gemma":[0.0003800119,0.00004700042,0.000009736348,0.000445399,0.0002007678,0.00002700745,0.0006184265,0.000839407,0.04215019,0.9539844,0.0009352235,0.0003623876],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6360126,0.0001039322,0.004633724,0.0009129792,0.0004422244,0.001995999,0.00001389124,0.0004670037,0.3554176],"genre_scores_gemma":[0.8350263,0.00002496666,0.1578774,0.000306177,0.0003686657,0.0002255514,6.322914e-7,0.0001799786,0.005990304],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3494273,"threshold_uncertainty_score":0.9999346,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03193888357748763,"score_gpt":0.2759382019061458,"score_spread":0.2439993183286582,"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."}}