{"id":"W763646931","doi":"10.1007/978-1-4612-1200-3_1","title":"Algebras of Matrices","year":2000,"lang":"en","type":"book-chapter","venue":"Universitext","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto; Dalhousie University","funders":"","keywords":"Subject (documents); Pure mathematics; Algebra over a field; Mathematics; Computer science; World Wide Web","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000009953525,0.0001104983,0.0001748898,0.00004352492,0.00004331029,0.000004192662,0.0001319625,0.00004332833,0.02347104],"category_scores_gemma":[2.05601e-7,0.0001097807,0.0001109023,0.00002106236,0.00007392317,0.00003687595,0.00003621129,0.00008409995,0.0004282032],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000863533,"about_ca_system_score_gemma":0.00001459979,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004381209,"about_ca_topic_score_gemma":1.157608e-7,"domain_scores_codex":[0.9996359,0.000001481294,0.0001060866,0.0001170963,0.00006624722,0.00007317936],"domain_scores_gemma":[0.9995957,0.00004322161,0.0001085898,0.000190135,0.0000256694,0.00003665725],"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":[0.000003169333,0.000009941186,0.000001458123,0.000008411585,0.00003845451,4.112985e-7,0.00003069951,0.000007487587,0.000003923957,0.9782556,0.0007807132,0.02085973],"study_design_scores_gemma":[0.00004775885,0.000005719036,2.686836e-7,0.0000265512,0.00003534056,7.017778e-8,0.00003786801,0.000002898191,0.00002654714,0.5517441,0.4480046,0.00006822523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.00004914867,0.00007220782,0.004870341,0.00002092209,0.00001084555,0.00008544707,0.0001362716,0.00001306619,0.9947417],"genre_scores_gemma":[0.01416143,0.00005686941,0.001657118,0.00001086777,0.0001092968,8.217562e-7,0.00006720141,0.00002239805,0.983914],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.4472239,"threshold_uncertainty_score":0.9774216,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006729411204315301,"score_gpt":0.2070750305012408,"score_spread":0.2003456192969255,"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."}}