{"id":"W4384010765","doi":"10.1017/9781009401548.002","title":"Classical algebra","year":2023,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Action (physics); Algebra over a field; Computer science; Mathematics; Pure mathematics; Physics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000272209,0.0004566212,0.0006491899,0.0002070034,0.0002558762,0.00002769365,0.0006427378,0.0005936321,0.00003084113],"category_scores_gemma":[0.00008611657,0.000527148,0.0003993769,0.000008951352,0.0003984414,0.00005733663,0.0003787333,0.0007071405,0.0003776588],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002239157,"about_ca_system_score_gemma":0.000103972,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003659211,"about_ca_topic_score_gemma":0.00000159321,"domain_scores_codex":[0.9984405,0.00006031582,0.0002926753,0.0004812022,0.000397841,0.0003274502],"domain_scores_gemma":[0.9979253,0.0005954494,0.0003078213,0.0008407091,0.000111444,0.0002192292],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00003451875,0.00001480071,2.375709e-8,0.0002568714,0.0001500921,0.0004709514,0.00009147448,9.778611e-8,0.000006344921,0.7762856,0.2223773,0.000311872],"study_design_scores_gemma":[0.0003779822,0.00004176562,2.201101e-7,0.0003150658,0.0003832003,0.0000219147,0.00003718801,0.00002509582,0.00005862293,0.02944832,0.9687544,0.0005362376],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.00007323109,0.00002075509,0.0008437333,0.00002126599,0.0004179978,0.0003626917,0.0001890784,0.0006794559,0.9973918],"genre_scores_gemma":[0.00006265529,0.00002446935,0.000639385,0.00003248765,0.0002060636,8.904761e-7,0.00002381392,0.0001474065,0.9988628],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.7468373,"threshold_uncertainty_score":0.999718,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06094941574397614,"score_gpt":0.2349119964646198,"score_spread":0.1739625807206437,"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."}}