{"id":"W2091327119","doi":"10.4153/cmb-2011-056-5","title":"Projectively Flat Fourth Root Finsler Metrics","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Geometry Research","field":"Physics and Astronomy","cited_by":37,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Ningbo University; National Natural Science Foundation of China; K. C. Wong Magna Fund in Ningbo University; National Science Foundation","keywords":"Mathematics; Root (linguistics); Pure mathematics; Linguistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003864968,0.0006581261,0.0005135777,0.00115921,0.0009718247,0.001490588,0.0005149235,0.0004688614,0.005588359],"category_scores_gemma":[0.0008541531,0.000225818,0.0003717069,0.0005066171,0.003188902,0.001890494,0.001695605,0.0009453568,0.0003972066],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007900221,"about_ca_system_score_gemma":0.0004910303,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002284878,"about_ca_topic_score_gemma":0.00193092,"domain_scores_codex":[0.9996467,0.00006593494,0.00001602364,0.00007533001,0.0001103094,0.00008569434],"domain_scores_gemma":[0.9994724,0.00005953858,0.0001078302,0.00009474028,0.0001394844,0.0001259631],"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":[0.00002517946,0.00001201737,0.001704419,0.0000429698,0.00001355211,0.0008334863,0.0003316921,0.003618774,0.006014993,0.9825264,0.000522751,0.004353759],"study_design_scores_gemma":[0.00003751994,0.0002208035,0.01307422,0.00004538705,0.00002925976,0.00248834,0.001022695,0.02645573,0.005110769,0.9439532,0.007493597,0.00006854036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9380715,0.0003360942,0.0188771,0.0004783099,0.00005420811,0.00002243283,0.00007171812,0.0001623289,0.04192625],"genre_scores_gemma":[0.9903293,0.0001153323,0.001656485,0.00004515656,0.00003439159,0.000006352038,0.00004571902,0.00001906732,0.007748181],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005588359,"threshold_uncertainty_score":0.01869488,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0434672580364101,"score_gpt":0.2636382411728398,"score_spread":0.2201709831364297,"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."}}