{"id":"W2365460604","doi":"","title":"The Centrosymmetric Solution of the Quaternion Matrix Equation AXB=C","year":2001,"lang":"en","type":"article","venue":"Journal of Liuzhou Teachers College","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Prairie Improvement Network","funders":"","keywords":"Quaternion; Mathematics; Matrix (chemical analysis); Field (mathematics); Pure mathematics; Skew; Decomposition; Pairwise comparison; Algebra over a field; Physics; Geometry; Materials science; Chemistry","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":[],"consensus_categories":[],"category_scores_codex":[0.002671771,0.0001417454,0.0003486127,0.0003862169,0.0003126104,0.00003300559,0.0005106383,0.0001126452,0.0000588269],"category_scores_gemma":[0.00243015,0.00007447093,0.0004605754,0.002375964,0.00009593602,0.0001799993,0.00006771107,0.0003563298,0.000008412314],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002515154,"about_ca_system_score_gemma":0.0001379753,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002767214,"about_ca_topic_score_gemma":0.00002105122,"domain_scores_codex":[0.9974543,0.0003481148,0.0009385029,0.0001023627,0.000905299,0.0002514345],"domain_scores_gemma":[0.9965797,0.001060481,0.00161818,0.0003202047,0.0003472963,0.00007412439],"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":[0.002192414,0.003425541,0.2254253,0.0002609738,0.005259679,0.0001228117,0.01365767,0.001434567,0.003055553,0.3099006,0.3094124,0.1258525],"study_design_scores_gemma":[0.01909783,0.003099411,0.1601871,0.000995292,0.008396114,0.001992858,0.04145895,0.04798327,0.006261439,0.4376635,0.2705121,0.002352168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9254889,0.002440976,0.06462587,0.004435229,0.0008180513,0.0003535415,0.000008453248,0.00002115362,0.001807854],"genre_scores_gemma":[0.9923373,0.0004300207,0.001212822,0.00002882112,0.0002623043,0.000001898138,5.424164e-7,0.00001668316,0.00570955],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1277629,"threshold_uncertainty_score":0.3036836,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04132540067922895,"score_gpt":0.3058507566792774,"score_spread":0.2645253560000484,"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."}}