{"id":"W2982460866","doi":"10.1090/proc/14861","title":"Operators polynomially isometric to a normal operator","year":2019,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"National Natural Science Foundation of China; China Scholarship Council; Natural Science Foundation of Jilin Province","keywords":"Isometric exercise; Operator (biology); Mathematics; Computer science; Medicine; Internal medicine; Biology; Genetics","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":[0.0008892594,0.0007778599,0.0005544495,0.001141685,0.0009690596,0.002146776,0.0008136329,0.0007041419,0.02149308],"category_scores_gemma":[0.003277953,0.0003506682,0.001201288,0.0008176729,0.002148727,0.00443313,0.002645801,0.003260251,0.004787159],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001685239,"about_ca_system_score_gemma":0.00121682,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003014369,"about_ca_topic_score_gemma":0.002246826,"domain_scores_codex":[0.9983714,0.000270104,0.00006434048,0.0004178289,0.0005932461,0.0002830414],"domain_scores_gemma":[0.9984328,0.0003847779,0.0001147588,0.0002225886,0.0005812584,0.000263787],"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":[0.00003138473,0.00002489843,0.0000807555,0.00003313367,0.000006129786,0.00006002017,0.0001706185,0.0004675238,0.001102091,0.9862822,0.004991403,0.006749869],"study_design_scores_gemma":[0.00002151959,0.0000451821,0.000372111,0.00001253997,0.000008612586,0.000214623,0.0001573566,0.01211139,0.001494058,0.9645113,0.02102882,0.00002250952],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1631975,0.0007835595,0.4131691,0.005032711,0.001818823,0.0001170985,0.001295252,0.001824223,0.4127616],"genre_scores_gemma":[0.7214018,0.001269838,0.05462041,0.001709809,0.001951342,0.0001399455,0.001559736,0.001512018,0.2158352],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02149308,"threshold_uncertainty_score":0.0719015,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01639013446371742,"score_gpt":0.2902928445924836,"score_spread":0.2739027101287662,"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."}}