{"id":"W2404883945","doi":"","title":"Willmore Lagrangian Submanifolds In Complex Euclidean Space.","year":2013,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Lagrangian; Euclidean space; Euclidean geometry; Pure mathematics; Space (punctuation); Willmore energy; Mathematical analysis; Geometry; Computer science; Mean curvature; Mean curvature flow; Curvature","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000403013,0.0007378219,0.0004015289,0.002455368,0.001395716,0.001518059,0.0004750462,0.0008199864,0.006552614],"category_scores_gemma":[0.000826872,0.0002335842,0.0004090212,0.0005333651,0.001616275,0.002628478,0.001897118,0.001126414,0.001315335],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008896226,"about_ca_system_score_gemma":0.0003598515,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001489866,"about_ca_topic_score_gemma":0.002040475,"domain_scores_codex":[0.9997974,0.00005330492,0.00001201813,0.00003628174,0.0000615501,0.00003951057],"domain_scores_gemma":[0.9996864,0.00004933076,0.0000728154,0.00003521445,0.00004845641,0.0001077886],"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":[0.00001128575,0.000008075349,0.000222191,0.00001790607,0.00000507137,0.00007953334,0.0001486594,0.0005698366,0.0007884979,0.9917485,0.002585528,0.003814992],"study_design_scores_gemma":[0.000007728315,0.00001552609,0.0007353082,0.00001719794,0.000006161591,0.0001788995,0.0001694179,0.006364494,0.0003621256,0.982163,0.009971093,0.000009091064],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4977537,0.00627483,0.1718075,0.01002138,0.00123567,0.0001423599,0.0009177316,0.0006062256,0.3112405],"genre_scores_gemma":[0.8847902,0.001669705,0.02324815,0.0008306108,0.0005521859,0.00006330803,0.0004690732,0.0001924915,0.0881843],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006552614,"threshold_uncertainty_score":0.02192068,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02715913364699494,"score_gpt":0.2647829052319364,"score_spread":0.2376237715849415,"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."}}