{"id":"W2501890334","doi":"10.1090/cln/020/12","title":"A fourth-order model with a pinned boundary on convex domains","year":2010,"lang":"en","type":"book-chapter","venue":"Courant lecture notes in mathematics","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Regular polygon; Boundary (topology); Order (exchange); Mathematics; Geometry; Geology; Mathematical analysis; Economics","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":[0.0006819087,0.001282216,0.002199749,0.001293943,0.00155953,0.00513984,0.002982147,0.005507273,0.008081829],"category_scores_gemma":[0.002470278,0.001100054,0.001455481,0.0007151987,0.004316222,0.003952374,0.002895083,0.003363857,0.0008967125],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002118305,"about_ca_system_score_gemma":0.001501296,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.008643704,"about_ca_topic_score_gemma":0.003355232,"domain_scores_codex":[0.9995638,0.0001266044,0.00001925613,0.0000841627,0.0001055116,0.000100709],"domain_scores_gemma":[0.9988441,0.0004054634,0.0001605095,0.0001143517,0.0001874005,0.0002880513],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0000680673,0.00008277808,0.0003066852,0.00005655288,0.00002241712,0.0003238909,0.0001520348,0.1986263,0.001413924,0.7958915,0.00155761,0.001498311],"study_design_scores_gemma":[0.0000407915,0.00003857629,0.000135904,0.000017638,0.00001259828,0.00009132441,0.00009673047,0.823414,0.0003127439,0.1742808,0.001523773,0.00003499085],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2725055,0.001928842,0.5141706,0.006117482,0.001056208,0.0001670507,0.00065168,0.0004843581,0.2029182],"genre_scores_gemma":[0.8877397,0.0007015753,0.02114679,0.0004461874,0.000303339,0.0001254995,0.0002468213,0.0001554457,0.08913477],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008643704,"threshold_uncertainty_score":0.02703637,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01574877605703773,"score_gpt":0.2352286606024865,"score_spread":0.2194798845454488,"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."}}