{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003439955,0.0008783329,0.001060766,0.0003564811,0.0001345133,0.0001813687,0.001284675,0.0007348771,0.00003122065],"category_scores_gemma":[0.0004414981,0.0006808107,0.0001634652,0.0001575402,0.0002100913,0.0001779058,0.0002551214,0.002117209,0.00006556545],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001637737,"about_ca_system_score_gemma":0.000272854,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.468214e-7,"about_ca_topic_score_gemma":0.00002364138,"domain_scores_codex":[0.9969872,0.00001111712,0.0007289441,0.0007976299,0.0008718309,0.0006032866],"domain_scores_gemma":[0.9962785,0.001180787,0.0003631194,0.001778602,0.0002336972,0.0001652764],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002101892,0.0001145537,1.704401e-7,0.0006970643,0.00007594592,0.000131839,0.002056813,0.61911,0.0004328855,0.3755432,0.00001117753,0.00180529],"study_design_scores_gemma":[0.0003032282,0.00007331987,5.439961e-8,0.000950588,0.0000260302,0.00007852716,0.000001099019,0.5276945,0.0001724995,0.4699835,0.0002409436,0.0004756612],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.00007759748,0.0001494688,0.9793929,0.0004733419,0.0002209894,0.0007131512,0.00001393769,0.0003916954,0.01856691],"genre_scores_gemma":[0.008370375,0.00004520419,0.9887699,0.0003068204,0.0001089183,0.00004980204,0.000007320933,0.0002117997,0.002129894],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.09444034,"threshold_uncertainty_score":0.9995643,"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."}}