{"id":"W4399155380","doi":"10.3390/math12111707","title":"Solution to Several Split Quaternion Matrix Equations","year":2024,"lang":"en","type":"article","venue":"Mathematics","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"Fundo para o Desenvolvimento das Ciências e da Tecnologia; Natural Sciences and Engineering Research Council of Canada; Wuyi University; National Natural Science Foundation of China","keywords":"Quaternion; Representation (politics); Matrix (chemical analysis); Matrix representation; Algebra over a field; Graphics; Robotics; Mathematics; Quaternion algebra; Applied mathematics; Computer science; Algorithm; Artificial intelligence; Pure mathematics; Computer graphics (images); Robot; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004966927,0.0007310089,0.0006534583,0.0005178245,0.0003700183,0.0009932867,0.0005344049,0.001196684,0.005194552],"category_scores_gemma":[0.001397154,0.0002821632,0.0005516841,0.0004774099,0.0008390373,0.001769542,0.001039624,0.001070153,0.0004418386],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003529512,"about_ca_system_score_gemma":0.0005259499,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006316876,"about_ca_topic_score_gemma":0.0004859899,"domain_scores_codex":[0.9996754,0.0000733612,0.00002471931,0.00007356689,0.0001115605,0.00004146944],"domain_scores_gemma":[0.9997575,0.00006817102,0.00006033032,0.00002190609,0.00006504043,0.00002706101],"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":[0.0001169082,0.00007566341,0.0009270824,0.0002903292,0.00005790719,0.0005691189,0.0007168425,0.09787623,0.0383852,0.8075789,0.003100204,0.0503056],"study_design_scores_gemma":[0.00008268203,0.0001233775,0.0004163056,0.00003246012,0.00001841788,0.0004965721,0.0003547829,0.803425,0.005969419,0.1826271,0.006392158,0.00006178469],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1098969,0.0008833132,0.8685911,0.000751744,0.0002487699,0.0001193253,0.00009278043,0.0001922572,0.01922373],"genre_scores_gemma":[0.797514,0.001078736,0.1827479,0.000311123,0.0001426477,0.0001880496,0.0001863103,0.00007287504,0.01775843],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005194552,"threshold_uncertainty_score":0.0173775,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05571399851105761,"score_gpt":0.3598539942423972,"score_spread":0.3041399957313396,"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."}}