{"id":"W3185246015","doi":"10.1017/etds.2021.67","title":"Generalizations of Douady's magic formula","year":2022,"lang":"en","type":"article","venue":"IRIS Research product catalog (Sapienza University of Rome)","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Mandelbrot set; Piecewise linear function; Set (abstract data type); MAGIC (telescope); Pure mathematics; Julia set; Geometry; Mathematical analysis","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":[0.0003005395,0.0003378008,0.0003588817,0.001351023,0.0006398872,0.001054122,0.000763936,0.000476621,0.004102288],"category_scores_gemma":[0.001402095,0.0002117595,0.0004241372,0.0008213613,0.00102333,0.002130429,0.001358798,0.001213831,0.0004544783],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005867523,"about_ca_system_score_gemma":0.0001785699,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007689341,"about_ca_topic_score_gemma":0.0007504251,"domain_scores_codex":[0.9998199,0.00002180235,0.00001067535,0.00004603653,0.00006411778,0.00003737689],"domain_scores_gemma":[0.9997423,0.00007169988,0.00002700147,0.00007104705,0.0000455906,0.00004221374],"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":[0.00001406591,0.000006401889,0.0001675989,0.00001783808,0.000002759285,0.00007244872,0.00008327233,0.0006079721,0.0008959085,0.9850414,0.0009537133,0.01213657],"study_design_scores_gemma":[0.00001631467,0.00002650163,0.0004094212,0.00001885924,0.000009446293,0.0002800889,0.00007076543,0.008923163,0.001098664,0.9728366,0.01629513,0.00001511532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3785823,0.00219134,0.2935849,0.002430204,0.0009121704,0.00007205175,0.0004874291,0.000578122,0.3211616],"genre_scores_gemma":[0.9323497,0.0009959318,0.04308026,0.0004936206,0.0002965152,0.00006444623,0.0002036006,0.0001438762,0.02237196],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004102288,"threshold_uncertainty_score":0.01372355,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0856953229263542,"score_gpt":0.3427226084177364,"score_spread":0.2570272854913822,"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."}}