{"id":"W2953227767","doi":"10.5539/jmr.v11n2p158","title":"Implication of Reducing the Angle at the Centre to 10-n to the Relationship Between the Regular Polygon and the Circle Circumscribing the Polygon","year":2019,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Polygon (computer graphics); Mathematics; Decimal; Rectilinear polygon; Combinatorics; Polygon covering; Newton polygon; Star-shaped polygon; Simple polygon; Geometry; Arithmetic; Monotone polygon; Regular polygon; Computer science","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001196086,0.0002623023,0.0003872407,0.0009407879,0.0009240042,0.001456402,0.0007149837,0.0004717988,0.007183292],"category_scores_gemma":[0.02234185,0.0002806473,0.0004940378,0.0008515413,0.003884674,0.001923118,0.001275769,0.001204555,0.0008056931],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005386454,"about_ca_system_score_gemma":0.0007653911,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00192562,"about_ca_topic_score_gemma":0.001221005,"domain_scores_codex":[0.9973778,0.0009334151,0.0001559651,0.0007548432,0.0005619612,0.0002161516],"domain_scores_gemma":[0.9862585,0.007651415,0.002270037,0.001636909,0.001704497,0.0004785996],"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":[0.001519628,0.0001704561,0.0387216,0.0008374444,0.0001059549,0.004317604,0.003679351,0.03481086,0.03864675,0.6900944,0.005526414,0.1815696],"study_design_scores_gemma":[0.000202505,0.001401523,0.07147432,0.0003090407,0.0002579953,0.01335773,0.006789808,0.1067702,0.05259515,0.6391451,0.1073753,0.0003213331],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4901215,0.002035145,0.3233024,0.002185544,0.001040928,0.0002704485,0.0002823078,0.0005209597,0.1802406],"genre_scores_gemma":[0.9597864,0.0002807817,0.03701202,0.0001377271,0.0001244973,0.0000623029,0.00007971368,0.00005296491,0.00246355],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007183292,"threshold_uncertainty_score":0.02403051,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1684443032065198,"score_gpt":0.4097025885370579,"score_spread":0.2412582853305381,"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."}}