{"id":"W2970267667","doi":"10.1090/qam/1557","title":"Towards a theory of multi-parameter geometrical variational problems: Fibre bundles, differential forms, and Riemannian quasiconvexity","year":2019,"lang":"en","type":"article","venue":"Quarterly of Applied Mathematics","topic":"Elasticity and Material Modeling","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Euclidean geometry; Differential form; Differential geometry; Pure mathematics; Mathematical analysis; Algebraic number; Differential (mechanical device); Geometry; Physics","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":[0.002264491,0.001312528,0.001118342,0.001835977,0.001036254,0.003029217,0.00199469,0.002676434,0.002425988],"category_scores_gemma":[0.00210683,0.0006115067,0.001233817,0.001034672,0.007243211,0.004951192,0.003548742,0.003509899,0.0004345416],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002125643,"about_ca_system_score_gemma":0.001258387,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001147393,"about_ca_topic_score_gemma":0.001110677,"domain_scores_codex":[0.9993201,0.0003126861,0.00002410995,0.000108259,0.0001670534,0.00006781214],"domain_scores_gemma":[0.9992299,0.0002406111,0.0001344757,0.00008396465,0.0001470898,0.0001638679],"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":[0.000002279445,0.000009280177,0.00009410874,0.00003325854,0.000006123303,0.00003486536,0.00008602818,0.007398171,0.0003917858,0.9899906,0.0003330263,0.001620501],"study_design_scores_gemma":[0.000004188211,0.00001647835,0.0001454765,0.00002334106,0.000002861835,0.00003925692,0.00005226661,0.03504578,0.000133146,0.9615981,0.002930924,0.000008269976],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04477979,0.00349156,0.9219713,0.006575958,0.0002565932,0.00004623382,0.00008843952,0.00005494232,0.02273522],"genre_scores_gemma":[0.631228,0.006788854,0.335275,0.001183189,0.001518278,0.0003356061,0.0002122104,0.000173252,0.02328562],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003029217,"threshold_uncertainty_score":0.01542264,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01522084420644538,"score_gpt":0.207403461154553,"score_spread":0.1921826169481077,"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."}}