{"id":"W1574757579","doi":"10.1090/s0002-9939-00-05545-3","title":"Solution of a functional equation arising in an axiomatization of the utility of binary gambles","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; University of California, Irvine; Hungarian Scientific Research Fund","keywords":"Binary number; Mathematics; Applied mathematics; Functional equation; Calculus (dental); Mathematical economics; Mathematical analysis; Arithmetic; Differential equation; Medicine","routes":{"ca_aff":true,"ca_fund":true,"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":[0.003447354,0.0009869284,0.0007415995,0.0007819564,0.0009169731,0.001967726,0.001660487,0.002530105,0.01538992],"category_scores_gemma":[0.01100849,0.0005078451,0.002478408,0.0009435064,0.002045766,0.005012567,0.002788898,0.004481925,0.002319837],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001718552,"about_ca_system_score_gemma":0.002098087,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001763394,"about_ca_topic_score_gemma":0.001907755,"domain_scores_codex":[0.9974165,0.001072241,0.0001860274,0.0005359228,0.0005984387,0.0001908446],"domain_scores_gemma":[0.9975436,0.001487139,0.0001162557,0.0003192751,0.0004397235,0.00009383698],"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":[0.000005044536,0.00000961987,0.00005140096,0.00002746704,0.000005732323,0.00002337159,0.000054104,0.00197598,0.0001674164,0.9913873,0.001940078,0.004352564],"study_design_scores_gemma":[0.00001509644,0.00001088422,0.00006568673,0.00001808578,0.000008325796,0.00004950183,0.00002495299,0.03225233,0.0002452806,0.9612998,0.005999211,0.00001082547],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0040295,0.0001023932,0.9738451,0.00298339,0.0002317939,0.00003693856,0.0002985933,0.0001085903,0.01836372],"genre_scores_gemma":[0.1980336,0.0004548256,0.7570639,0.001694931,0.0005531778,0.0006262847,0.001014375,0.0003330283,0.04022592],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01538992,"threshold_uncertainty_score":0.05148441,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0611138311893665,"score_gpt":0.29839222836298,"score_spread":0.2372783971736135,"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."}}