{"id":"W4387500334","doi":"10.1007/s10958-023-06690-w","title":"Real Division Algebras with a Nontrivial Reflection","year":2023,"lang":"en","type":"article","venue":"Journal of Mathematical Sciences","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Bimodule; Division algebra; Division (mathematics); Automorphism; Multiplication (music); Order (exchange); Unital; Pure mathematics; Connection (principal bundle); Reflection (computer programming); Divisibility rule; Combinatorics; Discrete mathematics; Algebra over a field; Arithmetic; Subalgebra; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002157866,0.0001241192,0.0003219302,0.0002268147,0.0002137735,0.00007653775,0.0003761885,0.00006049839,0.000118798],"category_scores_gemma":[0.001578095,0.00007088258,0.00009240449,0.0009372204,0.0002871362,0.0003694374,0.00007409824,0.0002238482,0.00006595311],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006006866,"about_ca_system_score_gemma":0.0000947495,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000102682,"about_ca_topic_score_gemma":0.000004585058,"domain_scores_codex":[0.9978417,0.00007120242,0.0005422479,0.0001546703,0.001091959,0.0002982423],"domain_scores_gemma":[0.9978909,0.001241222,0.0004482799,0.0001495419,0.0001471948,0.0001228575],"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":[0.00004978943,0.0001939771,0.0005210693,0.00009918366,0.00003837367,0.00009699467,0.0008915061,0.00005151273,0.002372809,0.9906487,0.001762461,0.00327356],"study_design_scores_gemma":[0.0003253924,0.0005851605,0.0005029475,0.000205334,0.00002666065,0.0001700458,0.0002984633,0.0005612254,0.001600191,0.9954744,0.0001454616,0.0001046977],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9420689,0.000009309402,0.04484644,0.001025864,0.0002191316,0.0001273469,6.6914e-7,0.00008430703,0.01161803],"genre_scores_gemma":[0.8026336,0.00004092196,0.1963116,0.00003268155,0.00033204,0.000004359169,1.800453e-7,0.00002033535,0.0006242305],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1514652,"threshold_uncertainty_score":0.2890508,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08476023830881302,"score_gpt":0.399028164883086,"score_spread":0.314267926574273,"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."}}