{"id":"W4239924493","doi":"10.4171/owr/2010/31","title":"Calculus of Variations","year":2011,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Calculus (dental); Curvature; Vector calculus; General relativity; Computer science; Mathematics; Theoretical physics; Geometry; Physics; Mathematical analysis","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":[],"consensus_categories":[],"category_scores_codex":[0.00008667923,0.00005475958,0.00009462499,0.00001823242,0.0000344381,0.000002812704,0.00004374473,0.00002551196,0.0004515446],"category_scores_gemma":[0.00001528924,0.00004292281,0.00002781956,0.0001316816,0.00007153452,0.00003211735,0.00002539425,0.00003160411,0.000007538853],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006179096,"about_ca_system_score_gemma":0.000002489453,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000132964,"about_ca_topic_score_gemma":0.000001377841,"domain_scores_codex":[0.9995298,0.000002660276,0.0001910399,0.00008020673,0.00007762069,0.0001186131],"domain_scores_gemma":[0.9997814,0.000007974618,0.00003093137,0.000124987,0.00001681988,0.00003788571],"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":[0.000008956823,0.0001153199,0.002165021,0.0001036062,0.00008071224,0.0001261408,0.00137577,0.002253658,0.0131926,0.9414947,0.0008184881,0.038265],"study_design_scores_gemma":[0.0003309248,0.0001971741,0.02954958,0.000066031,0.00009497371,0.0002069993,0.0005705226,0.00726479,0.201965,0.6920841,0.06660557,0.001064281],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1464481,0.0001793781,0.1581789,0.00001025564,0.001199424,0.0001105849,0.000006434032,0.0001771482,0.6936898],"genre_scores_gemma":[0.9970565,0.00001932437,0.00275612,0.000005849969,0.00002686614,0.000006585129,0.000001046318,0.000004822391,0.0001229078],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8506084,"threshold_uncertainty_score":0.4944097,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01277538007001437,"score_gpt":0.1931953771958647,"score_spread":0.1804199971258504,"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."}}