{"id":"W1994896724","doi":"10.1007/s00033-003-3205-2","title":"Approximate radial symmetry for solutions of a class of boundary value problems in ring-shaped domains","year":2003,"lang":"de","type":"article","venue":"Zeitschrift für angewandte Mathematik und Physik","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"","keywords":"Overdetermined system; Backslash; Ball (mathematics); Mathematics; Symmetry in biology; Geometry; RADIUS; Ring (chemistry); Omega; Symmetry (geometry); Mathematical analysis; Boundary value problem; Circular symmetry; Boundary (topology); Class (philosophy); Combinatorics; Physics; Quantum mechanics; Computer science","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":[0.001873922,0.0008846321,0.001135494,0.001184325,0.0006374306,0.002147827,0.001492028,0.001670885,0.002350994],"category_scores_gemma":[0.005334525,0.000442694,0.00087298,0.0004581914,0.001894355,0.00190457,0.001535223,0.00117199,0.0003728736],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008377283,"about_ca_system_score_gemma":0.0008309199,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001293715,"about_ca_topic_score_gemma":0.0006333668,"domain_scores_codex":[0.9995835,0.0001654953,0.00001799462,0.00004802571,0.0001083497,0.00007661893],"domain_scores_gemma":[0.9986427,0.000528063,0.000296954,0.00009901134,0.0002438653,0.000189453],"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":[0.0003737734,0.0001669203,0.001524925,0.0001547714,0.00004856315,0.0003971778,0.0002204954,0.1137117,0.01172109,0.8591847,0.001587462,0.01090838],"study_design_scores_gemma":[0.00007314027,0.0000735198,0.0003890835,0.00001372434,0.000008572204,0.0001359935,0.00008768834,0.8637087,0.000977531,0.1338891,0.0006222475,0.00002067684],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5350796,0.001161715,0.4415199,0.0009588362,0.0001533924,0.0001447776,0.0001283971,0.0001749562,0.02067842],"genre_scores_gemma":[0.945662,0.0005446835,0.04490765,0.0001320382,0.00008710664,0.000111161,0.000183294,0.00008103637,0.00829093],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002350994,"threshold_uncertainty_score":0.009910405,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02600389492189843,"score_gpt":0.2805639691582374,"score_spread":0.254560074236339,"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."}}