{"id":"W1970070655","doi":"10.5539/jmr.v1n2p119","title":"Some Operation Properties of Adjoint Matrices for Block Matrices","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Block (permutation group theory); Algebra over a field; Pure mathematics; Combinatorics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073684,0.0005286847,0.0003062562,0.0008715031,0.0004764169,0.001092889,0.0003549251,0.0005628877,0.006259083],"category_scores_gemma":[0.003259756,0.0001828766,0.0004693958,0.0008015228,0.001304553,0.002288975,0.0006973821,0.00126362,0.001119021],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002318031,"about_ca_system_score_gemma":0.0003497832,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004298794,"about_ca_topic_score_gemma":0.0002993833,"domain_scores_codex":[0.9993669,0.0001589546,0.00004125589,0.0001203785,0.0002378473,0.00007470769],"domain_scores_gemma":[0.9983429,0.0006292218,0.0002459231,0.0001478258,0.0005145847,0.0001196296],"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":[0.0000934948,0.00004874867,0.0008798211,0.0001670465,0.00002238019,0.0002780304,0.0004476178,0.006390365,0.02621477,0.9166479,0.003239773,0.04557006],"study_design_scores_gemma":[0.00002844508,0.0002364466,0.001370888,0.00003669167,0.00002757838,0.001303536,0.0002887563,0.07789536,0.01563036,0.8868737,0.01623366,0.00007460891],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07330201,0.001382155,0.8992241,0.0004274092,0.0002754931,0.00004550322,0.0002118933,0.000197966,0.0249335],"genre_scores_gemma":[0.8495892,0.002117235,0.127141,0.0006122468,0.0007969349,0.0001628602,0.0006360085,0.0003206526,0.018624],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006259083,"threshold_uncertainty_score":0.02093869,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1005634886935083,"score_gpt":0.365960446508163,"score_spread":0.2653969578146548,"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."}}