{"id":"W2013263425","doi":"10.1016/j.laa.2010.08.026","title":"Product numerical range in a space with tensor product structure","year":2010,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":27,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Numerical range; Mathematics; Tensor product; Product (mathematics); Minkowski space; Hilbert space; Range (aeronautics); Hermitian matrix; Numerical analysis; Mathematical analysis; Tensor product of Hilbert spaces; Cartesian tensor; Pure mathematics; Tensor contraction; Tensor field; Tensor density; Geometry; Exact solutions in general relativity","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":[0.0000539253,0.0001607787,0.0001732739,0.00003952435,0.0001091729,0.00003459833,0.0001233849,0.00002865183,0.0001252507],"category_scores_gemma":[0.000004253074,0.000126086,0.00002830163,0.0003134358,0.00003341795,0.00009706387,0.0000339223,0.0003472499,0.00003484581],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000003661625,"about_ca_system_score_gemma":0.00004881805,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002719866,"about_ca_topic_score_gemma":0.00001175001,"domain_scores_codex":[0.999135,0.0000133621,0.0001424283,0.0003911436,0.000104009,0.0002140133],"domain_scores_gemma":[0.9994167,0.00002272497,0.00006538272,0.000328628,0.00007358946,0.00009294471],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00002988287,0.0003350309,0.0113777,0.00003950215,0.00004419807,0.000001197249,0.0002932911,0.00001320874,0.04081882,0.9289654,0.0003549606,0.01772682],"study_design_scores_gemma":[0.005878767,0.0005036093,0.06539932,0.0001321122,0.0003488286,0.00007048975,0.0006022753,0.03218065,0.1964027,0.2771623,0.4177667,0.003552216],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9918844,0.0001083127,0.003337298,0.001610617,0.00006357249,0.001108652,0.0001312825,0.00004605235,0.001709884],"genre_scores_gemma":[0.9967823,0.000003768911,0.001846033,0.00004763597,0.0007333623,0.0001750349,0.00006196937,0.00002734818,0.0003225259],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6518031,"threshold_uncertainty_score":0.514164,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006069675421957675,"score_gpt":0.2310789990948051,"score_spread":0.2250093236728474,"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."}}