{"id":"W2070320953","doi":"10.1016/s0024-3795(00)00286-x","title":"Approximating commuting operators","year":2001,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Guelph","funders":"","keywords":"Mathematics; Tuple; Operator matrix; Combinatorics; Pure mathematics; Algebra over a field; Discrete mathematics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001759186,0.0009614148,0.001014265,0.001737007,0.0009267339,0.002451759,0.001115677,0.001361014,0.008875331],"category_scores_gemma":[0.005533512,0.0004473841,0.0006009993,0.0012843,0.002071679,0.004443065,0.002257828,0.001956807,0.001043897],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001112907,"about_ca_system_score_gemma":0.0003786121,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007103867,"about_ca_topic_score_gemma":0.0005933747,"domain_scores_codex":[0.9990391,0.000330405,0.00004191121,0.0001597705,0.0003077826,0.0001211489],"domain_scores_gemma":[0.9984157,0.0005097278,0.0001616606,0.0003413533,0.0003689856,0.0002026137],"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":[0.00003071324,0.00002719597,0.0001729089,0.00002499937,0.000006719551,0.00003769717,0.0001676723,0.001914036,0.002068788,0.9860213,0.0006969655,0.008831007],"study_design_scores_gemma":[0.00001083584,0.00003118884,0.0002184523,0.00001330176,0.00001066635,0.0001329035,0.0001494074,0.06081818,0.002158446,0.9322039,0.00423866,0.0000140894],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3275996,0.001552023,0.5623273,0.001193667,0.000801176,0.00006711082,0.0001370726,0.0006841734,0.1056379],"genre_scores_gemma":[0.8843502,0.0009966069,0.06234756,0.0003423104,0.0004953207,0.00006832384,0.0001722604,0.0003709697,0.05085661],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008875331,"threshold_uncertainty_score":0.02969098,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04279921642357948,"score_gpt":0.3127896149297646,"score_spread":0.2699903985061852,"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."}}