{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002331377,0.0002646016,0.0004148689,0.0004421166,0.0002504613,0.00009918232,0.0004472779,0.0001839998,0.01450623],"category_scores_gemma":[0.001957666,0.0002616209,0.0001521875,0.0007253598,0.0001604997,0.00003794673,0.0005396862,0.0003489412,0.00008426666],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006066197,"about_ca_system_score_gemma":0.00008002838,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001064228,"about_ca_topic_score_gemma":0.002254806,"domain_scores_codex":[0.9965324,0.001989067,0.0003318388,0.0004892686,0.0004077949,0.0002496662],"domain_scores_gemma":[0.9963139,0.001636165,0.000414951,0.001217945,0.0002758637,0.0001412312],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000005878502,0.0006785414,0.00108981,0.0002286722,0.0005164521,0.00001643982,0.003811027,6.982265e-7,0.00003732126,0.4606007,0.5123674,0.02064703],"study_design_scores_gemma":[0.0005599,7.145431e-7,0.0002688585,0.0003853722,0.0002725687,0.0000191103,0.0002880435,0.0007505849,0.0002212989,0.01306633,0.9836235,0.0005436944],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.002034253,0.003348164,0.06244243,0.005773,0.0001471126,0.0004113402,0.0002033917,0.0005630558,0.9250773],"genre_scores_gemma":[0.01326173,0.0007868638,0.02039241,0.00007152148,0.00004980841,0.00004614961,0.0003769313,0.0002456032,0.964769],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.4712561,"threshold_uncertainty_score":0.9999836,"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."}}