{"id":"W2211148030","doi":"10.5539/jmr.v7n4p74","title":"Residual Symmetry for Linear Algebraic Equations and the Lorentz-Group Algorithm","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Science Council","keywords":"Mathematics; Combinatorics; Group (periodic table); Physics; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.01035079,0.0001363773,0.0003805988,0.0004942484,0.0004042786,0.0001401238,0.000410421,0.0001083229,0.00003243408],"category_scores_gemma":[0.02106752,0.00008713893,0.0001624732,0.0004382851,0.000458928,0.0002455909,0.0001505707,0.0006739952,0.00002418269],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001766422,"about_ca_system_score_gemma":0.0003470268,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001392268,"about_ca_topic_score_gemma":0.00001882263,"domain_scores_codex":[0.9966384,0.0004475956,0.0008599807,0.0001324344,0.001585333,0.0003363029],"domain_scores_gemma":[0.9835427,0.01339889,0.0004299997,0.0003277219,0.002080585,0.0002200523],"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":[0.0000837522,0.0005272032,0.000004538095,0.0001076161,0.0001808716,0.000002981537,0.001654129,0.00002448592,0.00007291185,0.9787217,0.01646833,0.0021515],"study_design_scores_gemma":[0.00268024,0.0002430243,0.00001420115,0.0001107342,0.0001156749,0.0000860142,0.003610319,0.06610762,0.00009443219,0.9256954,0.001151043,0.00009129437],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01626121,0.0005653898,0.9750789,0.005974459,0.0003262274,0.0009263249,0.00004043398,0.00002187853,0.0008052006],"genre_scores_gemma":[0.147324,0.000136437,0.8491288,0.00005079899,0.00132808,0.0001344082,0.00001362981,0.00007761893,0.001806285],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1310627,"threshold_uncertainty_score":0.9871784,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.356786522879511,"score_gpt":0.4781218043835133,"score_spread":0.1213352815040024,"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."}}