{"id":"W4391328115","doi":"10.20944/preprints202302.0055.v3","title":"Extrinsic Quaternion Spin","year":2024,"lang":"en","type":"preprint","venue":"Preprints.org","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"École Polytechnique Fédérale de Lausanne","keywords":"Quaternion; Spin (aerodynamics); Physics; Mathematics; Engineering; Geometry; Mechanical engineering","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":["insufficient_payload"],"category_scores_codex":[0.001365529,0.0006049212,0.0009421745,0.0008021895,0.00009582827,0.00006631336,0.0009612162,0.0006408267,0.004482047],"category_scores_gemma":[0.001185625,0.0005601401,0.0007862117,0.0007877205,0.0001040695,0.00005489199,0.005562127,0.001797885,0.01903639],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000310713,"about_ca_system_score_gemma":0.0002419957,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000310138,"about_ca_topic_score_gemma":0.00003262279,"domain_scores_codex":[0.996123,0.0001699186,0.0009691973,0.001471426,0.0007494937,0.0005169745],"domain_scores_gemma":[0.9966889,0.0002985003,0.0004461275,0.002184385,0.0001755712,0.0002065352],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001859975,0.001814545,0.6156952,0.01192662,0.008788412,0.0007752664,0.009227623,0.0004868235,0.001463339,0.3008708,0.01807293,0.03069242],"study_design_scores_gemma":[0.0002850313,0.00001948658,0.02635536,0.0006441912,0.001176277,0.00001867174,0.0002410898,0.0007587817,0.003957147,0.9573286,0.008195273,0.001020135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9609975,0.0009573238,0.002684638,0.0008266336,0.001168862,0.0005856712,0.00002607716,0.0007252356,0.03202808],"genre_scores_gemma":[0.9649999,0.0002641876,0.0008322566,0.00008176552,0.0005532312,0.0001523998,0.00004241103,0.0001158447,0.03295796],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6564577,"threshold_uncertainty_score":0.999685,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2137200326332648,"score_gpt":0.4067267179882378,"score_spread":0.193006685354973,"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."}}