{"id":"W4388288421","doi":"10.5206/mt.v3i3.16011","title":"Nested radicals obtained via the Wilf--Zeilberger method and related results","year":2023,"lang":"en","type":"article","venue":"Maple Transactions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Series (stratigraphy); Mathematics; Ramanujan's sum; Maple; Rate of convergence; Telescoping series; Acceleration; Basic hypergeometric series; Convergence (economics); Identity (music); Mathematical analysis; Pure mathematics; Applied mathematics; Hypergeometric function; Computer science; Physics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006162334,0.0004536393,0.000378363,0.001142169,0.0006233815,0.0008189229,0.0007661128,0.0004781938,0.005582823],"category_scores_gemma":[0.001832856,0.0001759827,0.0006435012,0.0003647759,0.0009573062,0.001962241,0.00115173,0.001133619,0.001164268],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006168684,"about_ca_system_score_gemma":0.0004451851,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002475544,"about_ca_topic_score_gemma":0.0003778484,"domain_scores_codex":[0.9997559,0.00004993935,0.00001134463,0.00003868011,0.0001028429,0.00004133308],"domain_scores_gemma":[0.9996951,0.00006315636,0.0000460631,0.00006717204,0.00006566396,0.0000628955],"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":[0.00001598685,0.00001607428,0.0001415411,0.00002901259,0.000005592742,0.0001008374,0.0001417233,0.004740639,0.004009136,0.977219,0.0006218047,0.01295854],"study_design_scores_gemma":[0.00002252054,0.00007687989,0.0002966154,0.00002806867,0.00001139779,0.0002594721,0.00006188588,0.07856265,0.007784313,0.9009069,0.01196199,0.00002723297],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.246671,0.0006054996,0.6691539,0.0004924208,0.0006089214,0.0001242162,0.0001230403,0.0006244931,0.08159655],"genre_scores_gemma":[0.7423045,0.0006699063,0.2160915,0.0002154929,0.0003387287,0.0001398271,0.00009599602,0.0002868477,0.03985721],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005582823,"threshold_uncertainty_score":0.01867634,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04406654065395499,"score_gpt":0.3459637950198343,"score_spread":0.3018972543658793,"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."}}