{"id":"W1989093153","doi":"10.4153/cmb-2006-048-6","title":"Conjugacy Classes of Subalgebras of the Real Sedenions","year":2006,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjugacy class; Subalgebra; Dimension (graph theory); Division algebra; Element (criminal law); Division (mathematics); Algebra over a field; Pure mathematics; Quaternion algebra; Clifford algebra; Arithmetic","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004002635,0.0001679338,0.0004917495,0.0002257499,0.0001039854,0.0000141392,0.0004220928,0.0001359561,0.01396533],"category_scores_gemma":[0.00127301,0.0001174692,0.0002883149,0.0007492138,0.000356038,0.00001774943,0.0000531116,0.0001461189,0.0003782543],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008456622,"about_ca_system_score_gemma":0.0002791866,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.007416634,"about_ca_topic_score_gemma":0.00451574,"domain_scores_codex":[0.9983236,0.00008798563,0.0006863396,0.0001806465,0.0003748759,0.0003465593],"domain_scores_gemma":[0.9977269,0.001060189,0.0002778294,0.0005767584,0.0001668886,0.0001915065],"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":[0.00000305919,0.0001078919,0.002103008,0.0001906074,0.0000689487,0.000004722842,0.0001061735,0.000002663077,0.00006095694,0.9364175,0.06083601,0.00009842624],"study_design_scores_gemma":[0.000379676,0.00003976777,0.006535198,0.0001498865,0.0003367059,0.00001527428,0.0004818287,0.000130967,0.001139102,0.9775557,0.01296286,0.0002730393],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7925194,0.0001116679,0.002923786,0.00457422,0.00006914153,0.000430967,0.00009399759,0.00004120412,0.1992356],"genre_scores_gemma":[0.9896154,0.00000601093,0.003058836,0.00009750008,0.0000542098,0.00001009997,0.000004618341,0.00002420778,0.007129121],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.197096,"threshold_uncertainty_score":0.9991931,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01547840533785223,"score_gpt":0.2430494420554718,"score_spread":0.2275710367176196,"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."}}