{"id":"W13075019","doi":"10.13001/1081-3810.2003","title":"Positive semidefinite 3 x 3 block matrices","year":2014,"lang":"en","type":"article","venue":"Electronic Journal of Linear Algebra","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Positive-definite matrix; Semidefinite programming; Block (permutation group theory); Combinatorics; Pure mathematics; Eigenvalues and eigenvectors; Mathematical optimization","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":[0.001140637,0.0001406823,0.0003503725,0.00009102209,0.00009392622,0.0000310631,0.0002779067,0.00006816417,0.0001591252],"category_scores_gemma":[0.0005727682,0.0001071214,0.0001822588,0.0001888678,0.00003778952,0.00009447985,0.00003528715,0.0004366446,0.0000634695],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006660029,"about_ca_system_score_gemma":0.0001230225,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003714004,"about_ca_topic_score_gemma":0.000003571535,"domain_scores_codex":[0.9984124,0.0001001583,0.0006612489,0.0001066384,0.000310332,0.000409238],"domain_scores_gemma":[0.9978104,0.001147735,0.0005055143,0.0002153624,0.0002169054,0.000104143],"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":[0.00001470984,0.0001175042,0.0000119731,0.00004423062,0.0000820997,0.00000143656,0.0002361606,0.000006338351,0.000356735,0.9966487,0.001895207,0.0005849443],"study_design_scores_gemma":[0.0004257737,0.0003635611,0.00001601174,0.00008856093,0.0001119611,0.0001987934,0.0001604016,0.0008370914,0.002742773,0.9798588,0.01504186,0.0001543836],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8197354,0.00135468,0.1557917,0.004837155,0.0001517681,0.0003236385,0.00001370937,0.00009220177,0.01769968],"genre_scores_gemma":[0.9846822,0.0001668605,0.01314333,0.0002810692,0.0006328578,0.000004714502,0.000001815047,0.00003445119,0.001052701],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1649468,"threshold_uncertainty_score":0.4368284,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02416978466760582,"score_gpt":0.3063983396139193,"score_spread":0.2822285549463135,"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."}}