{"id":"W2081824282","doi":"10.1007/s00033-004-3114-z","title":"A Green function for the equilateral triangle","year":2004,"lang":"de","type":"article","venue":"Zeitschrift für angewandte Mathematik und Physik","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Trent University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Equilateral triangle; Eigenfunction; Image (mathematics); Function (biology); Mathematics; Construct (python library); Zero (linguistics); Green S; Computer science; Algorithm; Combinatorics; Mathematical analysis; Geometry; Physics; Computer vision; Eigenvalues and eigenvectors; Biology; Quantum mechanics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007438043,0.0007013503,0.000804191,0.0001472147,0.0006291792,0.0005246522,0.001463474,0.0002340165,0.00003457402],"category_scores_gemma":[0.000200646,0.0005121753,0.0005114732,0.0006468412,0.0001627734,0.0008800848,0.0004412286,0.0004819577,0.0005046852],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005658278,"about_ca_system_score_gemma":0.0001602914,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000526539,"about_ca_topic_score_gemma":0.000008876817,"domain_scores_codex":[0.9964822,0.0000532147,0.0008763091,0.0008692853,0.0006776885,0.001041319],"domain_scores_gemma":[0.9966629,0.000977544,0.0003770324,0.001494503,0.0002444296,0.0002436002],"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":[0.0001132864,0.0004580352,3.693852e-7,0.0009471432,0.0006371155,0.000008142012,0.003669805,0.06923093,0.001888109,0.9128202,0.0003784631,0.009848436],"study_design_scores_gemma":[0.004699279,0.0008040681,0.00001182261,0.0009270373,0.001004266,0.00002107102,0.0001222827,0.377485,0.006116828,0.5730029,0.03461584,0.001189513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0003986034,0.007064512,0.984985,0.001795593,0.00220452,0.001661049,0.00005018012,0.0004312332,0.001409344],"genre_scores_gemma":[0.7435263,0.0002862388,0.2460118,0.001281054,0.005206356,0.000953139,0.00005490435,0.0003814014,0.00229877],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7431278,"threshold_uncertainty_score":0.999733,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02947186017276661,"score_gpt":0.2913020577886547,"score_spread":0.2618301976158881,"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."}}