{"id":"W4391843605","doi":"10.3390/fractalfract8020116","title":"Escape Criteria Using Hybrid Picard S-Iteration Leading to a Comparative Analysis of Fractal Mandelbrot Sets Generated with S-Iteration","year":2024,"lang":"en","type":"article","venue":"Fractal and Fractional","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Majmaah University","keywords":"Mandelbrot set; Julia set; Fractal; Mathematics; Newton fractal; Fixed-point iteration; Set (abstract data type); Fixed point; Applied mathematics; Algorithm; Pure mathematics; Iterative method; Computer science; Topology (electrical circuits); Mathematical analysis; Combinatorics","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":[0.001025341,0.0003663609,0.00056209,0.001314616,0.0005169309,0.0009362012,0.0004898872,0.0006487033,0.001027446],"category_scores_gemma":[0.002458849,0.0001682148,0.0007563388,0.0003536995,0.001275409,0.0006010497,0.0006698974,0.0004555263,0.0001282229],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005638341,"about_ca_system_score_gemma":0.000322242,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005892576,"about_ca_topic_score_gemma":0.0003654421,"domain_scores_codex":[0.999645,0.0001251782,0.00002289584,0.00004060968,0.0001232196,0.0000430881],"domain_scores_gemma":[0.9990124,0.0004882995,0.0001076587,0.00009451532,0.0001925073,0.0001046866],"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":[0.000272338,0.00009345063,0.00341414,0.0001769141,0.00008550523,0.0004063461,0.0005875349,0.444409,0.03256386,0.4816459,0.0007928598,0.03555215],"study_design_scores_gemma":[0.00001184929,0.00007384226,0.000354337,0.00001244147,0.000008284026,0.00009742141,0.00003393863,0.9713708,0.004666007,0.02266166,0.0006926301,0.00001669336],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5178201,0.0005262807,0.4694361,0.0001253053,0.00005014376,0.00006598494,0.00003085793,0.0001671457,0.01177828],"genre_scores_gemma":[0.9121851,0.0001545771,0.08532324,0.00002183712,0.00001434943,0.00005709331,0.00003637779,0.00005995156,0.002147369],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001314616,"threshold_uncertainty_score":0.005422533,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06325153350309182,"score_gpt":0.3593767273575148,"score_spread":0.296125193854423,"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."}}