{"id":"W2132488183","doi":"10.1090/s0894-0347-08-00622-x","title":"Uniform energy distribution for an isoperimetric problem with long-range interactions","year":2008,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Block Copolymer Self-Assembly","field":"Materials Science","cited_by":131,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Hausdorff Center for Mathematics","keywords":"Range (aeronautics); Conjecture; Dimension (graph theory); Mathematics; Distribution (mathematics); Space (punctuation); Energy (signal processing); Algorithm; Combinatorics; Computer science; Mathematical analysis; Statistics; Materials science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.002771958,0.001250747,0.001006997,0.001373664,0.0007845178,0.001507616,0.001651476,0.002195488,0.002812918],"category_scores_gemma":[0.01049669,0.0005516034,0.0009186718,0.0004905199,0.002342704,0.002566732,0.002413659,0.001852654,0.0002906224],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001514232,"about_ca_system_score_gemma":0.0006580825,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001324887,"about_ca_topic_score_gemma":0.0008073548,"domain_scores_codex":[0.9990879,0.0004046394,0.00004444563,0.0001791909,0.0001649143,0.0001188781],"domain_scores_gemma":[0.9940949,0.004197104,0.0006277595,0.0001701256,0.0004523745,0.0004578535],"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":[0.0001704696,0.0001406654,0.002451922,0.0003352336,0.0001234739,0.0003345892,0.0002623078,0.1762294,0.004406399,0.8025048,0.002848641,0.01019218],"study_design_scores_gemma":[0.00002644505,0.00008270123,0.000702868,0.00003013954,0.00001666095,0.000101546,0.00009118434,0.7765982,0.0009493547,0.220153,0.001222474,0.00002539406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.273823,0.001743428,0.7015204,0.003657184,0.0001179384,0.0000949184,0.0002484616,0.0001219742,0.01867267],"genre_scores_gemma":[0.9001222,0.001007277,0.08369261,0.0004264578,0.0002909894,0.0002908222,0.0003828429,0.0002022586,0.01358448],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002812918,"threshold_uncertainty_score":0.0146597,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01882122856074009,"score_gpt":0.2690595146339809,"score_spread":0.2502382860732408,"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."}}