{"id":"W2024282500","doi":"10.1016/s0024-3795(02)00436-6","title":"Generalized oscillatory matrices","year":2002,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Invertible matrix; Noncommutative geometry; Class (philosophy); Pure mathematics; Matrix analysis; Identity matrix; Identity (music); Matrix (chemical analysis); Combinatorics; Eigenvalues and eigenvectors","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":[0.00007048847,0.0001305233,0.0001601119,0.00006046026,0.0001949552,0.00002356161,0.0001564507,0.00007907391,0.0004659738],"category_scores_gemma":[0.00007243624,0.0001210847,0.00004211374,0.0002141406,0.00004514791,0.0001027737,0.00006537781,0.0001213704,0.0002827607],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000153541,"about_ca_system_score_gemma":0.000005493967,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.816115e-7,"about_ca_topic_score_gemma":0.000001497668,"domain_scores_codex":[0.9991662,0.00001928463,0.0002363184,0.0002566742,0.0001389,0.0001826565],"domain_scores_gemma":[0.9992385,0.0001776954,0.00009010977,0.0003362089,0.00005948064,0.00009803753],"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":[8.915296e-7,0.00005586839,0.00004165507,0.00003777371,0.00001465291,5.578328e-7,0.0001200353,0.000001092359,0.000499527,0.9934337,0.002134892,0.003659374],"study_design_scores_gemma":[0.0004108997,0.00001976934,0.00006776363,0.00001105937,0.00004653275,0.00001629634,0.00003759242,0.003265788,0.001772328,0.6897588,0.3043172,0.0002759686],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8582981,0.01687226,0.07132508,0.003744743,0.0002746743,0.002605207,0.000102511,0.001257029,0.04552038],"genre_scores_gemma":[0.7349252,0.004559021,0.2322773,0.001273793,0.001659582,0.0009297163,0.00002615601,0.0001507001,0.02419852],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3036749,"threshold_uncertainty_score":0.5102087,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04840240089123453,"score_gpt":0.3111469417610952,"score_spread":0.2627445408698607,"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."}}