{"id":"W623482864","doi":"","title":"Angles, Majorization, Wielandt Inequality and Applications","year":2013,"lang":"en","type":"dissertation","venue":"UWSpace (University of Waterloo)","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Waterloo","keywords":"Mathematics; Majorization; Lemma (botany); Convexity; Positive-definite matrix; Pure mathematics; Combinatorics; Eigenvalues and eigenvectors","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001392255,0.0001511162,0.0002314043,0.0001530607,0.0002091752,0.00005394903,0.0005902975,0.0001755973,0.00008425181],"category_scores_gemma":[0.000005806133,0.0001693417,0.0000580715,0.0002445893,0.00005353068,0.0004280825,0.0001116154,0.0001323695,0.00005547968],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001877258,"about_ca_system_score_gemma":0.0000481195,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005021186,"about_ca_topic_score_gemma":0.001715405,"domain_scores_codex":[0.9991607,0.00006422943,0.0001078562,0.0003495109,0.0001681554,0.0001495348],"domain_scores_gemma":[0.9990811,0.0000377105,0.0002070929,0.0004172677,0.00016899,0.00008780096],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","study_design_scores_codex":[0.00008530711,0.0003824651,0.001820138,0.002032169,0.0003145616,0.00003281068,0.1816364,0.00004424773,0.00325871,0.6488224,0.007928959,0.1536419],"study_design_scores_gemma":[0.009031303,0.001287761,0.09808911,0.001587309,0.001239475,0.00007742768,0.3527285,0.03378527,0.01518456,0.3339869,0.1448,0.008202407],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"other","genre_scores_codex":[0.861114,0.0007786345,0.1308327,0.001284678,0.0007743858,0.001440317,0.00009621349,0.00039937,0.003279676],"genre_scores_gemma":[0.04277837,0.000533479,0.03746132,0.00005591764,0.0002234041,0.000007301523,0.001049144,0.00003212075,0.917859],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.9145793,"threshold_uncertainty_score":0.7590564,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00748264827337938,"score_gpt":0.1972482480685578,"score_spread":0.1897655997951785,"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."}}