{"id":"W4392507158","doi":"10.1080/0025570x.2024.2312093","title":"On the Basel Problem and the Square of Gregory’s Series","year":2024,"lang":"en","type":"article","venue":"Mathematics Magazine","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Series (stratigraphy); Square (algebra); Calculus (dental); Mathematical economics; Geometry; Geology","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":[0.005498338,0.000614563,0.0007573434,0.001586642,0.001969493,0.003373171,0.0008520644,0.002635425,0.01110344],"category_scores_gemma":[0.0204975,0.0002861532,0.0009355404,0.001060768,0.008550081,0.006481719,0.002635825,0.004350963,0.001333871],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001955172,"about_ca_system_score_gemma":0.001195814,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001387731,"about_ca_topic_score_gemma":0.001165557,"domain_scores_codex":[0.9980046,0.0007678168,0.0001165269,0.000363679,0.0005310511,0.0002163503],"domain_scores_gemma":[0.9945703,0.002589439,0.0008067201,0.00111134,0.0006243404,0.0002978273],"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":[0.00000848165,0.000004177943,0.0001786815,0.000009089976,0.000005458979,0.00007678103,0.00005938555,0.0008179672,0.0001016451,0.9935049,0.001546166,0.003687309],"study_design_scores_gemma":[0.000005495496,0.000007324879,0.0001807338,0.00002742763,0.00000274966,0.00006967756,0.00001803007,0.002864742,0.0001568225,0.9913196,0.005336844,0.00001058091],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1744707,0.01326112,0.2384338,0.04777818,0.002325398,0.00007628275,0.0002104678,0.0005542783,0.5228897],"genre_scores_gemma":[0.9631779,0.001464644,0.007801368,0.002012365,0.0008674264,0.00004134216,0.0000336262,0.0001254854,0.02447587],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01110344,"threshold_uncertainty_score":0.03714472,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01857735888025388,"score_gpt":0.2061449090880028,"score_spread":0.1875675502077489,"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."}}