{"id":"W4283399215","doi":"","title":"Calculus for eight-dimensional hypercomplex algebras","year":2022,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Hypercomplex number; Mathematics; Calculus (dental); Algebra over a field; Pure mathematics; Geometry; Medicine; Orthodontics; Quaternion","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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.006377768,0.0004572913,0.0007551885,0.0004692642,0.0007797214,0.0002021424,0.001486423,0.0003154432,0.003075514],"category_scores_gemma":[0.004718875,0.0004697571,0.0007085119,0.0008207685,0.0002051238,0.00008503691,0.002403417,0.0007879544,0.00004646084],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002621897,"about_ca_system_score_gemma":0.0003922263,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006383208,"about_ca_topic_score_gemma":0.0004387117,"domain_scores_codex":[0.9938516,0.002982506,0.0008167773,0.001019189,0.0008292673,0.0005006367],"domain_scores_gemma":[0.9887215,0.00602759,0.0007212583,0.002375134,0.001923495,0.0002310123],"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":[0.00003307635,0.001353601,0.0006321904,0.0004654238,0.0007637786,0.00001023784,0.004573348,0.0001475861,0.0001991951,0.928986,0.04486928,0.01796627],"study_design_scores_gemma":[0.002030711,0.000002149808,0.001300451,0.0008930987,0.001063298,0.00003259037,0.0006524621,0.06548172,0.004752853,0.7594043,0.1624554,0.001930965],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1601549,0.002724007,0.7688905,0.01614733,0.0006574628,0.001895438,0.0009388972,0.0005313481,0.04806009],"genre_scores_gemma":[0.5063027,0.0002556411,0.3954997,0.0005053923,0.0001394905,0.0008265974,0.004582451,0.0002279021,0.09166012],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.3733909,"threshold_uncertainty_score":0.9997754,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03692177909172616,"score_gpt":0.2778389992844676,"score_spread":0.2409172201927415,"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."}}