{"id":"W6939374765","doi":"10.6084/m9.figshare.19753978.v4","title":"[ARTICLE] An Exact Connection between Pi π and the Golden Ratio φ (Canadian Journal of Mathematics Research / 2022)","year":2022,"lang":"en","type":"article","venue":"Figshare","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Golden ratio; Connection (principal bundle); Unit circle; Inverse; Constant (computer programming); Rotation (mathematics); Expression (computer science); Function (biology)","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"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":[0.0006035492,0.0002754463,0.0003985718,0.001488845,0.001014476,0.00240347,0.0005050686,0.0004590836,0.01228239],"category_scores_gemma":[0.003274718,0.0002231734,0.0003332924,0.0008738792,0.003766723,0.002158862,0.001236857,0.001213716,0.001888676],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001412634,"about_ca_system_score_gemma":0.0005397625,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002775641,"about_ca_topic_score_gemma":0.001789763,"domain_scores_codex":[0.999436,0.0001052905,0.00002350718,0.0001665008,0.0001881232,0.00008065491],"domain_scores_gemma":[0.9993479,0.0001967454,0.0001010879,0.00008353111,0.0001821488,0.00008850732],"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":[0.00001336943,0.00000352847,0.0001863248,0.00002321593,0.000002544049,0.0000442803,0.0001035509,0.0004328117,0.0008365947,0.9859344,0.002019111,0.01040016],"study_design_scores_gemma":[0.000007493308,0.00002287599,0.001409999,0.00002324585,0.000008710247,0.0003427691,0.00008831763,0.004979433,0.001824805,0.959322,0.03194728,0.00002310579],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.183028,0.0026823,0.314182,0.002914371,0.00127224,0.00007744205,0.0003871688,0.0007981233,0.4946584],"genre_scores_gemma":[0.9376015,0.0009573105,0.0357438,0.0003938312,0.0005560014,0.00004761139,0.0001010239,0.0003565551,0.02424246],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01228239,"threshold_uncertainty_score":0.0410887,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07367662204562317,"score_gpt":0.3445298547468927,"score_spread":0.2708532327012695,"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."}}