{"id":"W2913519894","doi":"10.1073/pnas.1904139116","title":"New Laplace and Helmholtz solvers","year":2019,"lang":"en","type":"article","venue":"Proceedings of the National Academy of Sciences","topic":"Electromagnetic Scattering and Analysis","field":"Physics and Astronomy","cited_by":41,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"York University","keywords":"Laplace transform; Gravitational singularity; Helmholtz equation; Helmholtz free energy; Laplace's equation; Mathematical analysis; Applied mathematics; Mathematics; Computer science; Calculus (dental); Physics; Partial differential equation; Boundary value problem; Medicine","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002532686,0.00004245585,0.00007698941,0.00004921573,0.000055861,0.00001665834,0.000242403,0.00001454701,0.0000957411],"category_scores_gemma":[0.000009824427,0.0000282953,0.00003911054,0.0002699571,0.0001253552,0.0001309746,0.00005173344,0.00005736529,0.000002339817],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000370262,"about_ca_system_score_gemma":0.00001525849,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002531061,"about_ca_topic_score_gemma":9.353039e-9,"domain_scores_codex":[0.9993792,0.000001264093,0.00009903269,0.000115347,0.0003281957,0.00007691472],"domain_scores_gemma":[0.9997758,0.0000327344,0.0001239654,0.000003444496,0.00004335623,0.00002065804],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.000005142942,0.00001848655,0.248701,0.00002458352,0.0000367435,3.443085e-10,0.0002071574,0.00006221319,0.6163573,0.1284034,0.002658636,0.003525376],"study_design_scores_gemma":[0.0005320811,0.0001259916,0.1951288,0.0001354831,0.00005077342,0.000002096061,0.0007669352,0.002419732,0.6081628,0.1913324,0.001132718,0.0002101435],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9776039,0.00003523583,0.000002567866,0.001781168,0.000005672519,0.00003809763,0.000001956519,0.00000269095,0.02052875],"genre_scores_gemma":[0.996922,0.000002167198,0.0009101856,0.00006077715,0.00004699183,7.433247e-7,3.428159e-8,0.00000130138,0.002055754],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06292904,"threshold_uncertainty_score":0.1153849,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01246785845243896,"score_gpt":0.2593827180293464,"score_spread":0.2469148595769074,"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."}}