{"id":"W4386939159","doi":"10.3934/math.20231376","title":"A short note on a extended finite secant series","year":2023,"lang":"en","type":"article","venue":"AIMS Mathematics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Quotient; Trigonometric functions; Riemann zeta function; Series (stratigraphy); Product (mathematics); Pure mathematics; Trigonometric series; Function (biology); Mathematical analysis; Algebra over a field; 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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009292483,0.0003888863,0.0006514844,0.000266796,0.000242524,0.0001053723,0.000342077,0.0001877832,0.0006301827],"category_scores_gemma":[0.002075627,0.0003049493,0.0002482802,0.0007043526,0.00009901558,0.0001417118,0.0001533986,0.0002788964,0.002941499],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005736279,"about_ca_system_score_gemma":0.00005207971,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002854825,"about_ca_topic_score_gemma":0.00001076894,"domain_scores_codex":[0.9975907,0.00006411626,0.0008001882,0.0003651364,0.0005801515,0.0005997423],"domain_scores_gemma":[0.995729,0.002793705,0.0001533915,0.001034445,0.00009735514,0.0001921618],"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":[0.00004355538,0.0008938173,0.00001144792,0.001154155,0.0001351831,0.00007952152,0.003823924,0.00003869341,0.0007149494,0.9118415,0.07700167,0.004261649],"study_design_scores_gemma":[0.0004082679,0.0002664011,0.00005781363,0.0003965294,0.0001271895,0.00005823472,0.000787754,0.008171181,0.002615248,0.9718822,0.01467805,0.0005511799],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.555545,0.00007453898,0.1040781,0.006041427,0.0029263,0.00441762,0.0004243152,0.006719246,0.3197735],"genre_scores_gemma":[0.6984466,0.0002063797,0.1840089,0.0009343503,0.001138094,0.0008577863,0.00009350896,0.0005534934,0.1137608],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2060127,"threshold_uncertainty_score":0.9999403,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07514633507117115,"score_gpt":0.3413971303854081,"score_spread":0.266250795314237,"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."}}