{"id":"W4299810323","doi":"10.48550/arxiv.1306.0612","title":"Fast integral equation methods for the Laplace-Beltrami equation on the\\n sphere","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Electromagnetic Scattering and Analysis","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Stereographic projection; Laplace's equation; Mathematics; Integral equation; Mathematical analysis; Discretization; Electric-field integral equation; Fast multipole method; Laplace transform; Summation equation; Complex plane; Multipole expansion; Geometry; Boundary value problem; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001062501,0.0008020278,0.0007020731,0.0009339262,0.0007111202,0.001115461,0.001510489,0.00116331,0.007324356],"category_scores_gemma":[0.002273727,0.0003304509,0.0009143265,0.001072541,0.0007492322,0.001742081,0.001119918,0.001893965,0.001946928],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008328636,"about_ca_system_score_gemma":0.001133394,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003447575,"about_ca_topic_score_gemma":0.003626426,"domain_scores_codex":[0.9996365,0.0001005307,0.0000195517,0.00002512859,0.0001918451,0.00002635031],"domain_scores_gemma":[0.9991678,0.000495961,0.00004293245,0.00008423886,0.0001824973,0.00002663236],"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":[0.00005347143,0.00008462535,0.0004418471,0.000286935,0.00003949834,0.0002027309,0.0003839451,0.2235361,0.01040765,0.6237141,0.005486498,0.1353627],"study_design_scores_gemma":[0.00001629323,0.000009566131,0.00006936651,0.00001996491,0.000004716337,0.00006939867,0.00002742671,0.9447379,0.001270808,0.0472627,0.006499896,0.00001200598],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.001898341,0.000363957,0.9925719,0.0001123916,0.00005926469,0.00003034555,0.00004443562,0.0001682851,0.004751048],"genre_scores_gemma":[0.07832715,0.001394448,0.9059065,0.00009724036,0.0001632651,0.0002857143,0.0002197456,0.0004042309,0.01320171],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.007324356,"threshold_uncertainty_score":0.02450246,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09887717384721316,"score_gpt":0.2406644629111315,"score_spread":0.1417872890639183,"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."}}