{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001092197,0.0006639789,0.0005662358,0.00112539,0.0008821582,0.001656606,0.0008354982,0.0005998199,0.005799411],"category_scores_gemma":[0.002142776,0.0001710762,0.0008665707,0.0008739945,0.001513577,0.002867251,0.001126432,0.002340298,0.001532465],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006067233,"about_ca_system_score_gemma":0.0002984717,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003157411,"about_ca_topic_score_gemma":0.0002991425,"domain_scores_codex":[0.999635,0.0001063592,0.00002629412,0.00007023978,0.0001332114,0.00002879382],"domain_scores_gemma":[0.9993943,0.0002242927,0.00004401767,0.0001164302,0.0001418786,0.00007908618],"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":[0.00001440273,0.000009840805,0.00008521557,0.00008268723,0.000008396859,0.0003738067,0.0001355443,0.0006980613,0.001750411,0.9827852,0.004266793,0.009789638],"study_design_scores_gemma":[0.000005390909,0.00007987192,0.0004205427,0.00008489122,0.00001781837,0.001079389,0.00005655158,0.01047343,0.002284343,0.8821368,0.1033372,0.00002367099],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.133095,0.02448666,0.3603804,0.009879553,0.02538235,0.00004225142,0.0002714611,0.000994344,0.445468],"genre_scores_gemma":[0.7462893,0.01412921,0.07390418,0.004219125,0.01632419,0.00005373274,0.0002335487,0.001031936,0.1438149],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005799411,"threshold_uncertainty_score":0.01940095,"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."}}