{"id":"W2962734290","doi":"10.3390/sym11080953","title":"Quaternions and Functional Calculus","year":2019,"lang":"en","type":"article","venue":"Symmetry","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quaternion; Functional calculus; Calculus (dental); Algebra over a field; Mathematics; Action (physics); Term (time); Pure mathematics; Medicine; Geometry; Physics","routes":{"ca_aff":true,"ca_fund":true,"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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001680732,0.00007529499,0.0001457168,0.0001580416,0.00004733974,0.00001529888,0.00004401676,0.00005532764,0.001257688],"category_scores_gemma":[0.0001470272,0.00006081904,0.00006075092,0.0003969786,0.00002505688,0.00005203542,0.00004689032,0.00008307285,0.0005976437],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001743566,"about_ca_system_score_gemma":0.00001376818,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002847956,"about_ca_topic_score_gemma":0.00000428767,"domain_scores_codex":[0.9993972,0.00001899677,0.0001243343,0.0001557494,0.0001743247,0.0001294397],"domain_scores_gemma":[0.9994535,0.0002419289,0.00004244588,0.0001730884,0.00003135619,0.00005769445],"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":[0.00001431471,0.0001036018,0.1394235,0.00008682586,0.0002815272,0.000004744933,0.000168613,0.000002321169,0.0001013969,0.8294559,0.02173611,0.008621179],"study_design_scores_gemma":[0.00260843,0.0002417505,0.2201213,0.00007015844,0.0005856269,0.0001001115,0.002839883,0.00466352,0.0005803261,0.723906,0.04316557,0.001117399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9547257,0.0002428734,0.01998916,0.0003054878,0.000186371,0.00008410073,0.000005108745,0.00005871916,0.02440243],"genre_scores_gemma":[0.9796049,0.000009248591,0.000968889,0.0001291997,0.00006646331,0.000002762506,0.000005388523,0.000009426996,0.01920372],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1055499,"threshold_uncertainty_score":0.9996553,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02482538107316026,"score_gpt":0.2692943637823894,"score_spread":0.2444689827092291,"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."}}