{"id":"W2952003957","doi":"10.48550/arxiv.math/0406416","title":"Non-computable Julia sets","year":2004,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Computable analysis; Computability; Julia set; Quadratic equation; Computable number; Mathematics; Point (geometry); Computable function; Computer science; Mathematical economics; Discrete mathematics; Pure mathematics","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":[0.001627786,0.0005406517,0.0009041516,0.0010063,0.002005901,0.005229536,0.001347217,0.0008847071,0.008118425],"category_scores_gemma":[0.01090674,0.0004115514,0.001052105,0.0008157495,0.005541604,0.007937097,0.004503869,0.004766768,0.0009169648],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002149519,"about_ca_system_score_gemma":0.001260328,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007500859,"about_ca_topic_score_gemma":0.000658378,"domain_scores_codex":[0.9974324,0.0004106378,0.0001248312,0.000553264,0.0009939767,0.0004848193],"domain_scores_gemma":[0.99327,0.003759536,0.0004197961,0.001139139,0.0008548377,0.0005567885],"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":[0.00001669415,0.00001297483,0.000133069,0.00002971044,0.000002555667,0.00003230397,0.0001178717,0.0007935188,0.0005851823,0.9966755,0.0003320575,0.001268541],"study_design_scores_gemma":[0.00001380907,0.00001569291,0.0001260179,0.00001419679,0.000005411065,0.00007681053,0.00009127437,0.01216451,0.00211977,0.9812608,0.004099704,0.00001196388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3810099,0.001115397,0.428229,0.005218397,0.0005274623,0.0001760534,0.0004091646,0.0005286229,0.182786],"genre_scores_gemma":[0.9286534,0.0003873328,0.0407747,0.0003424092,0.0001946148,0.0001486988,0.0002153926,0.000122676,0.02916076],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008118425,"threshold_uncertainty_score":0.0271588,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04180646973560214,"score_gpt":0.2764456516924444,"score_spread":0.2346391819568422,"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."}}