{"id":"W2039345231","doi":"10.1016/j.jfa.2009.09.023","title":"Intersections of Schubert varieties and eigenvalue inequalities in an arbitrary finite factor","year":2009,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":27,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Ultraproduct; Eigenvalues and eigenvectors; Embedding; Pure mathematics; Factor (programming language); Inequality; Algebra over a field; Mathematical analysis","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":[0.001387741,0.0008857201,0.001373098,0.003807271,0.004150936,0.005358051,0.001540068,0.0014317,0.008039989],"category_scores_gemma":[0.004209941,0.0008993839,0.001249627,0.002192704,0.005131433,0.008280408,0.003029378,0.002910912,0.000729785],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002099831,"about_ca_system_score_gemma":0.0006603367,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00170786,"about_ca_topic_score_gemma":0.001870093,"domain_scores_codex":[0.9985346,0.0002758272,0.00008770969,0.0002979885,0.0003814425,0.0004225152],"domain_scores_gemma":[0.997559,0.001213533,0.0003792773,0.0001884945,0.0002961442,0.0003637064],"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":[0.00004196612,0.00001346586,0.000223598,0.000008904599,0.000005220704,0.00008078266,0.0001794085,0.0003648518,0.0004198059,0.9972095,0.0002471424,0.00120539],"study_design_scores_gemma":[0.0000152839,0.00001032635,0.0002299657,0.000007580063,0.000009154548,0.00008994542,0.0001830581,0.00329009,0.00057897,0.9946818,0.0008880736,0.00001566449],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.792506,0.0005236173,0.1120626,0.001208544,0.0001875522,0.00005002917,0.0002566103,0.0003437113,0.09286139],"genre_scores_gemma":[0.9788396,0.000193739,0.01098947,0.0001006143,0.0001602017,0.00004176464,0.0001687101,0.0001159502,0.009390073],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008039989,"threshold_uncertainty_score":0.02689642,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02761572254709462,"score_gpt":0.2504690780764174,"score_spread":0.2228533555293228,"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."}}