{"id":"W2884882306","doi":"10.2298/fil1802643p","title":"The variational problem in lagrange spaces endowed with a special type of (α,β)-metrics","year":2018,"lang":"en","type":"article","venue":"Filomat","topic":"Advanced Differential Geometry Research","field":"Physics and Astronomy","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Science North","funders":"","keywords":"Mathematics; Flatness (cosmology); Metric (unit); Type (biology); Metric space; Equivalence of metrics; Pure mathematics; Convex metric space; Intrinsic metric; Mathematical analysis; Applied mathematics; Universe","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":[0.0001079573,0.00006599865,0.0000955662,0.00009277222,0.00007453869,0.00003125505,0.0001390157,0.00001567835,0.001162811],"category_scores_gemma":[0.00002062314,0.00004143155,0.00001958221,0.0007801694,0.00009477763,0.00006455417,0.00005072208,0.00008296027,0.00006166386],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001285191,"about_ca_system_score_gemma":0.00005254113,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007871765,"about_ca_topic_score_gemma":0.00005910801,"domain_scores_codex":[0.9993278,0.00003000705,0.0001164266,0.0001097409,0.0002362148,0.0001797993],"domain_scores_gemma":[0.9994745,0.0001556339,0.00006700507,0.0001314903,0.0001426883,0.00002867974],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.000867388,0.0004788863,0.6059415,0.00003663531,0.000180859,0.000003242732,0.001005969,0.00005719904,0.001853511,0.3433153,0.003210832,0.04304865],"study_design_scores_gemma":[0.006387078,0.00207727,0.7253045,0.000142648,0.0000594151,0.000003282953,0.00137121,0.002715378,0.01789691,0.1067422,0.1365084,0.0007917993],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8625025,0.00005232175,0.007524624,0.0002280246,0.0003081315,0.000647893,0.0000863278,0.00001977078,0.1286304],"genre_scores_gemma":[0.9962422,0.000001683437,0.002022926,0.00000310862,0.0007936091,0.00001301887,0.00001685206,0.000008085381,0.000898519],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2365732,"threshold_uncertainty_score":0.9997503,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0213747522298895,"score_gpt":0.2941687156074897,"score_spread":0.2727939633776002,"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."}}