{"id":"W4391169039","doi":"10.37394/23206.2023.22.106","title":"Conformal Self-Mappings of the Complex Plane with Arbitrary Number of Fixed Points","year":2023,"lang":"en","type":"article","venue":"WSEAS TRANSACTIONS ON MATHEMATICS","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Conformal map; Plane (geometry); Fixed point; Mathematics; Pure mathematics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003424052,0.0001996064,0.0004897067,0.0002268619,0.0001392482,0.00001115961,0.0003111295,0.00009466519,0.0008026157],"category_scores_gemma":[0.00006584908,0.0001291025,0.0002506651,0.001760249,0.0001594608,0.00007940406,0.00001041124,0.0002386942,0.00009100179],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002653006,"about_ca_system_score_gemma":0.0000860657,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001152848,"about_ca_topic_score_gemma":0.000007471177,"domain_scores_codex":[0.9983419,0.0000434541,0.0005835954,0.0001545053,0.0006345349,0.0002420654],"domain_scores_gemma":[0.9980631,0.0007794361,0.000379855,0.0005638718,0.0001445403,0.00006923367],"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":[0.000525109,0.009556016,0.004267677,0.01338874,0.01046277,0.00004485917,0.03877089,0.001881211,0.0008727369,0.9041653,0.01286426,0.003200409],"study_design_scores_gemma":[0.0108904,0.001241196,0.01893307,0.003074213,0.008875326,0.0004629097,0.03096822,0.08990922,0.02690547,0.7999561,0.005715025,0.00306877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6840495,0.00001011423,0.2939705,0.0007528088,0.00009833484,0.0008663623,0.0002500247,0.0004107108,0.01959159],"genre_scores_gemma":[0.9451302,0.00001794328,0.05315542,0.00005622075,0.0000130447,0.00002203895,0.000008656066,0.00003749714,0.001558925],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2610807,"threshold_uncertainty_score":0.8788078,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03525499802708359,"score_gpt":0.2824727657930766,"score_spread":0.247217767765993,"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."}}