{"id":"W2472073381","doi":"10.4153/cmb-2016-045-7","title":"Characterizations and Representations of Core and Dual Core Inverses","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":81,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Core (optical fiber); Dual (grammatical number); Element (criminal law); Inverse; Pure mathematics; Commutative property; Algebra over a field; Order (exchange); Ring (chemistry); Geometry; Linguistics; Computer science; Law","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":[0.0008773624,0.0004203724,0.0003670338,0.001449287,0.0005475818,0.002070985,0.0005892579,0.0005499298,0.006883077],"category_scores_gemma":[0.002377687,0.0002189586,0.0004818238,0.0005745107,0.002088761,0.003144306,0.001632648,0.00164126,0.0009225045],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004439532,"about_ca_system_score_gemma":0.0002676331,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002270105,"about_ca_topic_score_gemma":0.0001890864,"domain_scores_codex":[0.9990932,0.0001542781,0.00006894888,0.0002318813,0.0003030061,0.0001486715],"domain_scores_gemma":[0.9985315,0.0003849326,0.0002144761,0.0002660463,0.0004280655,0.0001750558],"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":[0.00003288531,0.0000273958,0.0002950924,0.00002700443,0.000004126161,0.0001072204,0.0003342981,0.0004938526,0.003491443,0.9851959,0.0004641694,0.00952665],"study_design_scores_gemma":[0.000016157,0.00007729033,0.0004009354,0.00002507795,0.00001192472,0.0005504371,0.0003597378,0.01423232,0.007982478,0.9654947,0.01081851,0.00003040544],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.4674342,0.0005307366,0.4215862,0.0006055537,0.0002254133,0.00008338129,0.0002540832,0.0003968764,0.1088836],"genre_scores_gemma":[0.9604885,0.0001869317,0.02580665,0.000136589,0.0001601183,0.00004389341,0.0001916893,0.00008973387,0.01289588],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.006883077,"threshold_uncertainty_score":0.02302623,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02388299182852942,"score_gpt":0.2423627912624901,"score_spread":0.2184797994339607,"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."}}