{"id":"W6902323321","doi":"10.6084/m9.figshare.19753978","title":"[ARTICLE] An Exact Connection between 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; Expression (computer science); Function (biology); Constant (computer programming); Rotation (mathematics); Inverse","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":[0.0006413265,0.0002907496,0.0004008856,0.00154704,0.001504499,0.003017589,0.0004963254,0.0006729044,0.03001859],"category_scores_gemma":[0.00335108,0.0002428711,0.0003564449,0.00132953,0.003512061,0.002334255,0.0009345373,0.001459821,0.005692712],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003231463,"about_ca_system_score_gemma":0.001746791,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.02353239,"about_ca_topic_score_gemma":0.01922035,"domain_scores_codex":[0.9994147,0.00008232131,0.00002555256,0.0001367442,0.0002723034,0.00006840837],"domain_scores_gemma":[0.9992862,0.0001523777,0.00006828838,0.00008747438,0.0003147103,0.0000909685],"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":[0.00001528172,0.000003880549,0.0001558485,0.00004382751,0.000003683798,0.00004250984,0.0001618365,0.0003071026,0.0006027481,0.9581459,0.01865999,0.02185739],"study_design_scores_gemma":[0.00001086346,0.0000237633,0.002330791,0.00005757319,0.00001044214,0.0003630384,0.0001422517,0.002256162,0.001042075,0.70515,0.2885759,0.00003711579],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.02858452,0.006642398,0.1128774,0.007546157,0.00342874,0.0000743348,0.0009351386,0.0007945775,0.8391168],"genre_scores_gemma":[0.6457916,0.008195357,0.08762391,0.002707162,0.002693525,0.0001253076,0.000760883,0.001558501,0.2505437],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.03001859,"threshold_uncertainty_score":0.1004222,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07405715661000993,"score_gpt":0.3457536324577332,"score_spread":0.2716964758477233,"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."}}