{"id":"W2810080584","doi":"10.1007/s13398-018-0558-0","title":"An extension of the Taylor series expansion by using the Bell polynomials","year":2018,"lang":"es","type":"article","venue":"Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Bell polynomials; Taylor series; Extension (predicate logic); Series (stratigraphy); Mathematics; Stirling number; Series expansion; Pure mathematics; Generating function; Algebra over a field; Combinatorics; Mathematical analysis; Computer science","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","sts","research_integrity"],"consensus_categories":["sts"],"category_scores_codex":[0.004905104,0.0008774574,0.001369989,0.0001618556,0.00133833,0.0007402766,0.001891819,0.001841139,0.0004536056],"category_scores_gemma":[0.003002223,0.00052166,0.0005501912,0.001201467,0.002775819,0.0008026825,0.0006539447,0.002202312,0.0000445165],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005998891,"about_ca_system_score_gemma":0.0006030548,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000246689,"about_ca_topic_score_gemma":0.000007530723,"domain_scores_codex":[0.9922005,0.002589722,0.001891486,0.0009230829,0.001052807,0.001342387],"domain_scores_gemma":[0.9923275,0.003035577,0.001500025,0.002127371,0.0004953735,0.000514198],"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":[0.0004996768,0.0004813457,0.001093266,0.00171434,0.0001988555,0.00002358833,0.003685937,0.00001073774,0.8162119,0.1595082,0.01413772,0.002434411],"study_design_scores_gemma":[0.002646723,0.00232541,0.009089165,0.008575088,0.005336734,0.004438291,0.007594146,0.02804175,0.7228415,0.04265796,0.1621804,0.004272843],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9905232,0.002753042,0.0007369791,0.001784038,0.0003104401,0.001413985,0.0003516376,0.0001499048,0.001976778],"genre_scores_gemma":[0.9908835,0.001929035,0.004716928,0.0007416192,0.000937304,0.00004087227,0.00001668469,0.0001576074,0.0005764454],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1480426,"threshold_uncertainty_score":0.9999618,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02399018295939126,"score_gpt":0.3328272817859521,"score_spread":0.3088370988265609,"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."}}