{"id":"W4395010815","doi":"","title":"Quaternions Dual Vector and Line","year":2022,"lang":"en","type":"other","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Dual quaternion; Quaternion; Dual (grammatical number); Line (geometry); Computer science; Mathematics; Art; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002264368,0.0008945526,0.0004631225,0.00133416,0.001157922,0.002719804,0.000520325,0.0005955055,0.1360216],"category_scores_gemma":[0.0006112104,0.0002454979,0.0003138713,0.001420542,0.0009615587,0.001522216,0.0008906709,0.001389146,0.02087143],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002780523,"about_ca_system_score_gemma":0.001351778,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01304788,"about_ca_topic_score_gemma":0.02279397,"domain_scores_codex":[0.9997883,0.00003452023,0.00000625391,0.0000424184,0.0001084608,0.00002007261],"domain_scores_gemma":[0.9998216,0.00003238898,0.00001146617,0.00002141955,0.00007372206,0.00003935257],"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":[0.00001991598,0.00002325693,0.0001043153,0.00006958862,0.000004014042,0.00002246092,0.00015888,0.0003112906,0.0007221632,0.6291457,0.3172265,0.05219191],"study_design_scores_gemma":[0.000005778466,0.00001677042,0.0005726231,0.00005076331,0.000004725734,0.00003846945,0.00008256596,0.0004756797,0.0004849923,0.1047964,0.8934631,0.000008188557],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.002503063,0.007404937,0.006122853,0.004343677,0.005515263,0.00002541046,0.0007020223,0.0002127066,0.97317],"genre_scores_gemma":[0.02982788,0.004658799,0.002175083,0.0004810822,0.002530971,0.00002130001,0.0004969226,0.0002514075,0.9595566],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.1360216,"threshold_uncertainty_score":0.4550377,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01983526617982788,"score_gpt":0.2510755601097083,"score_spread":0.2312402939298804,"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."}}