{"id":"W4388695348","doi":"10.1007/s00190-023-01797-z","title":"Spherical harmonic coefficients of isotropic polynomial functions with applications to gravity field modeling","year":2023,"lang":"en","type":"article","venue":"Journal of Geodesy","topic":"Geophysics and Gravity Measurements","field":"Earth and Planetary Sciences","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"European Commission; European Space Agency","keywords":"Spherical harmonics; Mathematics; Geopotential; Polynomial; Gravitational field; Mathematical analysis; Isotropy; Zonal spherical harmonics; Piecewise; Field (mathematics); Applied mathematics; Harmonic; Covariance; Vector spherical harmonics; Pure mathematics; Physics; Classical mechanics","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":[],"consensus_categories":[],"category_scores_codex":[0.0001921841,0.00006902505,0.0001553384,0.00009286154,0.0001013868,0.00002237901,0.0001560029,0.00002735418,0.00009591367],"category_scores_gemma":[0.00002159057,0.00005215885,0.00006995944,0.0004784828,0.00001731545,0.00007252944,0.000009415593,0.0001335299,0.00009220073],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005548139,"about_ca_system_score_gemma":0.00007764153,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000558524,"about_ca_topic_score_gemma":0.0002623464,"domain_scores_codex":[0.9991289,0.00002190204,0.0002384824,0.0000935631,0.0003504992,0.0001666463],"domain_scores_gemma":[0.9994465,0.00004386678,0.0001165657,0.0001106116,0.0001507463,0.0001316902],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"observational","study_design_scores_codex":[0.0003961526,0.0001664974,0.3254312,0.00003146812,0.0001190982,0.0000122163,0.0002331258,0.6087592,0.002144508,0.00001241558,0.005942737,0.05675134],"study_design_scores_gemma":[0.002343916,0.003534254,0.8662165,0.0001593025,0.0002541184,0.00005956529,0.0009240775,0.1032119,0.001345315,0.0009106405,0.02049315,0.0005472683],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9564056,0.00003364696,0.04262636,0.0004070112,0.0001697179,0.0001097876,0.00002481058,0.000008002259,0.0002150738],"genre_scores_gemma":[0.9986887,0.000007944854,0.0009821372,0.00008436601,0.0001070631,8.493963e-7,0.00000871701,0.000002391027,0.0001178338],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5407853,"threshold_uncertainty_score":0.2126976,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03077326406826702,"score_gpt":0.2453988462299069,"score_spread":0.2146255821616399,"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."}}