{"id":"W2963256027","doi":"10.1090/proc/13615","title":"Gauss map of the skew mean curvature flow","year":2016,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of British Columbia; Fundamental Research Funds for the Central Universities; Natural Science Foundation of Fujian Province; University of Washington","keywords":"Skew; Curvature; Mathematics; Manifold (fluid mechanics); Mean curvature flow; Grassmannian; Generalization; Embedding; Gauss; Space (punctuation); Flow (mathematics); Mathematical analysis; Gauss map; Vortex; Ellipse; Geometry; Mean curvature; Physics; Pure mathematics; Computer science; Artificial intelligence","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.0002289754,0.000253043,0.0002066367,0.0007364089,0.0004680592,0.0008529286,0.0002282639,0.0004247676,0.002089459],"category_scores_gemma":[0.0005720661,0.000118138,0.0003352709,0.0002037986,0.0009451178,0.001219607,0.0008886348,0.0005631418,0.0003127586],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005300883,"about_ca_system_score_gemma":0.0004936989,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001063241,"about_ca_topic_score_gemma":0.0004684631,"domain_scores_codex":[0.999884,0.00002501217,0.000004400403,0.00002320198,0.00003890572,0.0000245329],"domain_scores_gemma":[0.9998001,0.00002850199,0.00004177584,0.00001818512,0.00006674403,0.00004458812],"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":[0.00001315627,0.000007176733,0.0003851939,0.00001275182,0.000003374746,0.00008903222,0.0001296066,0.00227779,0.003988658,0.9870547,0.000850594,0.005187843],"study_design_scores_gemma":[0.0000152454,0.00004921235,0.001648181,0.00001398876,0.000007567722,0.0004730892,0.0001284323,0.08742246,0.003616546,0.898713,0.00788347,0.00002888215],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6819774,0.0007164588,0.2452298,0.00174888,0.0003051712,0.00006118827,0.0002568868,0.0003124476,0.06939166],"genre_scores_gemma":[0.9678091,0.0004484245,0.01681529,0.0001988762,0.0002103303,0.00002715016,0.00009988686,0.00007941051,0.01431165],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002089459,"threshold_uncertainty_score":0.006989956,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006876556640147051,"score_gpt":0.2359003756690838,"score_spread":0.2290238190289368,"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."}}