{"id":"W2375215345","doi":"","title":"Semi-positive Subdefiniteness for a Kind of Quaternion Matrices","year":2001,"lang":"en","type":"article","venue":"Hainan Daxue xuebao. Ziran kexue ban","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Prairie Improvement Network","funders":"","keywords":"Quaternion; Mathematics; Pure mathematics; Inverse; Matrix (chemical analysis); Positive-definite matrix; Field (mathematics); Algebra over a field; Physics; Geometry; Materials science; Eigenvalues and eigenvectors; Quantum mechanics","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":[0.0005259359,0.0003082005,0.0002207286,0.000764114,0.0004529901,0.0007325694,0.0002530552,0.0003963257,0.003681589],"category_scores_gemma":[0.002690288,0.0001528556,0.000270756,0.0004022954,0.00103071,0.0017003,0.0004279344,0.0007551742,0.0005477815],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001871312,"about_ca_system_score_gemma":0.0002343189,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002656694,"about_ca_topic_score_gemma":0.0003630787,"domain_scores_codex":[0.9995307,0.00008269079,0.00004067869,0.0001256953,0.0001833304,0.00003694597],"domain_scores_gemma":[0.9982312,0.0006869413,0.000278996,0.0001935948,0.0004702062,0.0001390612],"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":[0.0002052814,0.00003647753,0.002207279,0.0001771683,0.00001605067,0.0007618154,0.0004477314,0.004990317,0.04367322,0.8947842,0.002159667,0.05054084],"study_design_scores_gemma":[0.00004670425,0.0003115332,0.00196967,0.00006667069,0.00002199604,0.004076128,0.0004201257,0.08823234,0.03587394,0.8519559,0.01692663,0.00009839449],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.182099,0.0006409751,0.7893839,0.0004930173,0.0001640373,0.00005181499,0.0001763085,0.0002458807,0.02674488],"genre_scores_gemma":[0.9069242,0.0004390844,0.08695076,0.0001748612,0.0001863203,0.00004815838,0.0002336528,0.0000396874,0.005003345],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003681589,"threshold_uncertainty_score":0.01231617,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01472373779141836,"score_gpt":0.2461575278151662,"score_spread":0.2314337900237479,"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."}}