{"id":"W798955533","doi":"10.4171/owr/2012/36","title":"Calculus of Variations","year":2013,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Calculus (dental); Curvature; Differential calculus; Field (mathematics); Differential geometry of curves; Mathematics; Vector calculus; Geometry; Pure mathematics; Differential equation; Mathematical analysis; Ordinary differential equation","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":[0.0003449402,0.0001007358,0.0002723514,0.0001336152,0.00004829054,0.0000276752,0.00007338217,0.00008062161,0.002370583],"category_scores_gemma":[0.0008040164,0.00007908704,0.0001552418,0.0005816939,0.00002281597,0.0001257351,0.00003792745,0.00008912851,0.00005529477],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001866335,"about_ca_system_score_gemma":0.00003414408,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000348062,"about_ca_topic_score_gemma":0.00001875152,"domain_scores_codex":[0.9987244,0.00002783172,0.0005826438,0.0001837122,0.0003162016,0.0001651876],"domain_scores_gemma":[0.9986342,0.0001147389,0.0003990165,0.0005203051,0.0002563369,0.00007545295],"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":[0.000005821002,0.002238579,0.07193996,0.0003938187,0.00133121,0.0003364986,0.001644133,0.0001527428,0.008369714,0.4854839,0.3825408,0.0455628],"study_design_scores_gemma":[0.0008327981,0.0002270292,0.2251835,0.000129162,0.001267466,0.0008561431,0.0008477098,0.008644037,0.006541169,0.6608756,0.0931393,0.001456104],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7599567,0.0002974719,0.09606808,0.0005644069,0.0005021161,0.0006663813,0.000005311101,0.0001470197,0.1417926],"genre_scores_gemma":[0.9861569,0.000003130724,0.007537781,0.00002826317,0.00004815605,0.00003128043,0.000008640598,0.0000124773,0.006173366],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2894015,"threshold_uncertainty_score":0.9985414,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02687688536051533,"score_gpt":0.2738061176099577,"score_spread":0.2469292322494424,"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."}}