{"id":"W1992664534","doi":"10.1007/s003659910005","title":"Averages Using Translation Induced by Laguerre and Jacobi Expansions","year":2000,"lang":"en","type":"article","venue":"Constructive Approximation","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Laguerre polynomials; Mathematics; Converse; Translation (biology); Applied mathematics; Type (biology); Mathematical analysis; Pure mathematics; Geometry","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001934804,0.0001531611,0.0002229369,0.00006811162,0.0002107497,0.00005303982,0.0000496932,0.0001199666,0.001051331],"category_scores_gemma":[0.00008914524,0.000140265,0.00004487021,0.0001533128,0.00008968051,0.0002955401,0.000009539451,0.0001164315,0.00001773525],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003171567,"about_ca_system_score_gemma":0.00002361583,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001708897,"about_ca_topic_score_gemma":0.000002359497,"domain_scores_codex":[0.9990661,0.00009297255,0.0003158569,0.000220692,0.0001457694,0.0001586047],"domain_scores_gemma":[0.9993,0.0003130106,0.00009258773,0.0001718506,0.00005239783,0.00007012538],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001283438,0.0003926617,0.0003587199,0.0004901541,0.0001824674,0.000001925922,0.006055933,0.0000251639,0.2446332,0.1996542,0.001342414,0.5467349],"study_design_scores_gemma":[0.003503301,0.0002243485,0.0006843911,0.0004511309,0.0004562527,0.0002179295,0.002948943,0.08280204,0.0525267,0.8523626,0.002469308,0.001352991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9539176,0.00007136464,0.03732773,0.00009157849,0.00006269559,0.0004433864,0.0000334357,0.00007980364,0.007972358],"genre_scores_gemma":[0.9481357,0.00001939915,0.0514789,0.00002987186,0.00005829475,0.00003052632,0.00002195275,0.00002184344,0.0002034927],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6527085,"threshold_uncertainty_score":0.9998618,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07251032180350749,"score_gpt":0.3140308958154691,"score_spread":0.2415205740119616,"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."}}