{"id":"W3127108209","doi":"10.1080/03081087.2021.1878996","title":"Note on one family of real division algebras","year":2021,"lang":"en","type":"article","venue":"Linear and Multilinear Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Division (mathematics); Mathematics; Division algebra; Transitive relation; Diagonal; Automorphism; Pure mathematics; Algebra over a field; Class (philosophy); Automorphism group; Discrete mathematics; Combinatorics; Algebra representation; Arithmetic; Computer science; Geometry","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":[0.0005024433,0.0002894783,0.0003066778,0.0008050397,0.001240276,0.0009189153,0.0005854741,0.0004587659,0.004372905],"category_scores_gemma":[0.001007601,0.0001168942,0.0004540959,0.0005283187,0.001339571,0.002038887,0.0008356825,0.0007758965,0.0003428687],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006155346,"about_ca_system_score_gemma":0.0003461322,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008472811,"about_ca_topic_score_gemma":0.0004410573,"domain_scores_codex":[0.9996809,0.00006537984,0.00001910302,0.00007532928,0.0001042456,0.00005504043],"domain_scores_gemma":[0.999616,0.00009014858,0.00007431547,0.00006492359,0.00008486859,0.00006961758],"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":[0.00001260479,0.000009409614,0.0004406444,0.00003260619,0.000005070861,0.0002317237,0.0001855869,0.0005825626,0.001066722,0.9917521,0.0007460564,0.004934801],"study_design_scores_gemma":[0.00001587144,0.00003632384,0.000577628,0.00003539959,0.00001296329,0.00161091,0.0002112614,0.01002329,0.00150315,0.9563874,0.02955759,0.00002803165],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5983306,0.005480874,0.1530605,0.002766962,0.0005029013,0.00005854459,0.000391495,0.0003962912,0.2390118],"genre_scores_gemma":[0.977169,0.001196249,0.01207209,0.0001899981,0.0002270638,0.00001965178,0.000186331,0.00002734297,0.0089122],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004372905,"threshold_uncertainty_score":0.01462877,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05140848466368868,"score_gpt":0.3457242423130212,"score_spread":0.2943157576493325,"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."}}