{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001369344,0.0006254301,0.000853373,0.0007435172,0.0009478859,0.001538003,0.0009790974,0.001819093,0.002276472],"category_scores_gemma":[0.001652764,0.0003900717,0.000693458,0.0004627028,0.002096352,0.002781887,0.00232607,0.00144248,0.0001876641],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001473276,"about_ca_system_score_gemma":0.00116828,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002612172,"about_ca_topic_score_gemma":0.002272421,"domain_scores_codex":[0.9994925,0.000211987,0.00002216734,0.0001104151,0.00008131552,0.00008160513],"domain_scores_gemma":[0.9995424,0.0001452401,0.00007184631,0.00003388172,0.00007053129,0.0001361909],"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":[0.00001926321,0.00001832516,0.0003203211,0.00004759218,0.00001792015,0.0001280042,0.0001032405,0.01250703,0.001586749,0.9819813,0.000621027,0.002649216],"study_design_scores_gemma":[0.0000242259,0.00006740016,0.0007106839,0.00002625332,0.000009660967,0.0001704848,0.0001906002,0.1599053,0.0004328695,0.8346202,0.003813237,0.00002897662],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4195773,0.003063006,0.5319462,0.00730028,0.0004735422,0.0001019989,0.0004128403,0.0000817952,0.03704299],"genre_scores_gemma":[0.8702985,0.001390341,0.09848291,0.0005703864,0.0006187236,0.0001545535,0.0003867625,0.00008307122,0.02801478],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002612172,"threshold_uncertainty_score":0.01068944,"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."}}