{"id":"W338995065","doi":"10.1007/978-94-017-0405-2_21","title":"On Corrected form of an Old Result: Necessary and Sufficient Conditions of a Randers Space to be of Constant Curvature","year":2003,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Differential Geometry Research","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Constant (computer programming); Constant curvature; Curvature; Space (punctuation); Mathematics; Mathematical analysis; Geometry; Computer science; Programming language","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00009753529,0.0002506513,0.0005963781,0.0003232476,0.00004249787,0.000008895331,0.0001387621,0.0001250942,0.001322538],"category_scores_gemma":[0.00002351596,0.0002157601,0.0001181602,0.0001352457,0.0002597093,0.0000510696,0.00006914263,0.0003080692,0.000001385079],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001949281,"about_ca_system_score_gemma":0.00008218877,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009532744,"about_ca_topic_score_gemma":0.00003350856,"domain_scores_codex":[0.9986507,0.00002344264,0.000413335,0.0003175177,0.0003865462,0.0002084038],"domain_scores_gemma":[0.9985808,0.0002357784,0.0003047686,0.000383563,0.0003382791,0.0001567895],"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":[0.0005444308,0.0003405425,0.0001568247,0.0001175897,0.0002726974,0.000001784716,0.0003859908,0.0001337694,0.002813064,0.990994,0.003331956,0.0009072992],"study_design_scores_gemma":[0.03598674,0.01627017,0.002854387,0.006376291,0.001808782,0.00001616526,0.01653085,0.001592679,0.2799992,0.5736437,0.05901521,0.00590581],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1747191,0.0001021071,0.009332212,0.0002414388,0.000185074,0.001770519,0.007623793,0.00002424503,0.8060015],"genre_scores_gemma":[0.9101756,0.00001235718,0.0004776625,0.00006538274,0.00002218656,0.00001083738,0.0007165216,0.00004014037,0.08847936],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7354565,"threshold_uncertainty_score":0.9995904,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01996502085057255,"score_gpt":0.2901227888441323,"score_spread":0.2701577679935598,"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."}}