{"id":"W7030584348","doi":"","title":"On the norm of normal matrices","year":2023,"lang":"en","type":"other","venue":"R-libre (Université Téluq)","topic":"","field":"","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada","keywords":"Circulant matrix; Norm (philosophy); Upper and lower bounds; Diagonal; Main diagonal; Matrix norm; Connection (principal bundle)","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003262276,0.001415613,0.0006713258,0.002336652,0.0006032642,0.001672996,0.001156792,0.000730869,0.004618459],"category_scores_gemma":[0.009687012,0.0002873265,0.0007829413,0.0009654941,0.003360947,0.004851235,0.001996526,0.002592345,0.001650744],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008572401,"about_ca_system_score_gemma":0.0005525245,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007941517,"about_ca_topic_score_gemma":0.000599737,"domain_scores_codex":[0.9976413,0.0009013336,0.0001111973,0.0003865627,0.0007690752,0.0001905431],"domain_scores_gemma":[0.9949452,0.002243045,0.0004867686,0.0004519386,0.001462411,0.0004105901],"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":[0.00007743193,0.00004180352,0.000599985,0.0002204625,0.00002901101,0.0001072216,0.0002397816,0.01351715,0.006114311,0.9577925,0.001973119,0.01928729],"study_design_scores_gemma":[0.000009260722,0.0001711087,0.0008228448,0.00009863681,0.0000163716,0.0002233978,0.0001198577,0.1165021,0.004221377,0.866156,0.01160374,0.00005541388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08211664,0.004778095,0.85307,0.0009100635,0.0008802882,0.00006240984,0.0003005548,0.0002617144,0.05762029],"genre_scores_gemma":[0.6939739,0.008916436,0.2584299,0.0009963426,0.002754778,0.0003270349,0.001183918,0.0007465626,0.03267109],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004618459,"threshold_uncertainty_score":0.0172528,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008725905507873612,"score_gpt":0.1817961268624147,"score_spread":0.1730702213545411,"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."}}