{"id":"W4246173486","doi":"10.1090/fic/025/32","title":"Approximation of compactly supported functions with free phase by functions with bounded spectrum","year":2000,"lang":"en","type":"other","venue":"","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Bounded function; Spectrum (functional analysis); Mathematics; Phase (matter); Pure mathematics; Mathematical analysis; Physics; Quantum 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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001330639,0.0005158183,0.0007683684,0.0003797106,0.0001068677,0.00008275653,0.0002444097,0.0003031296,0.05677831],"category_scores_gemma":[0.00008039847,0.0003341679,0.0001069294,0.0005993234,0.0002228118,0.0001659423,0.00001878061,0.000307913,0.0002068783],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006247512,"about_ca_system_score_gemma":0.0001969341,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001433056,"about_ca_topic_score_gemma":0.001371595,"domain_scores_codex":[0.9978396,0.00006983645,0.0006827608,0.000432817,0.0006628793,0.0003120633],"domain_scores_gemma":[0.997935,0.0001617932,0.0006743813,0.0009627195,0.0001098666,0.000156271],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0001697166,0.001693948,0.000004458114,0.0006692409,0.0003158251,0.00000115421,0.0001505472,6.486276e-7,0.00007083447,0.04778364,0.9488978,0.0002421352],"study_design_scores_gemma":[0.01366037,0.003558776,0.000005774487,0.002115095,0.001784572,0.0001316443,0.001596055,0.005103798,0.004321638,0.1014485,0.8641433,0.002130507],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0002549329,0.00001863027,0.3408242,0.0002402503,0.00003909343,0.001013807,0.0005914831,0.0004730727,0.6565446],"genre_scores_gemma":[0.001285494,0.00001432116,0.05779821,0.00007324244,0.0001050091,0.0001760941,0.002143554,0.0004520208,0.937952],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.283026,"threshold_uncertainty_score":0.999911,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0246207413126135,"score_gpt":0.2803912632404134,"score_spread":0.2557705219277999,"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."}}